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Get accurate solutions and step-by-step explanations for algebra and other math problems, while enhancing your problem-solving skills!

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  • Solve equations and inequalities
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Mathway Free Math Solver

  Tip : Refresh your browser if it doesn’t load the first time. Trust me, it happens.

I must say that there is no alternative to paying attention in class, writing down notes, studying at home, and doing a lot of independent practice using pencil and paper. However, there are times when a teacher or tutor is not available to help you solve a math problem. This can be frustrating at times. But, don’t worry. Mathway can be that extra “eye” to help double-check your work. Whether it’s math homework in pre-algebra, algebra, geometry, trigonometry, precalculus, statistics, or calculus, this is the tool for you. Heck, you can even just use it as a regular arithmetic calculator! Moreover, you can also use this as a graphing utility to graph any functions such as linear, quadratic, trigonometric functions, etc. To be honest, I start wondering what this math solver cannot do!

Mathway’s math problem solver is an excellent tool to check your work for free. Just type in the math problem into the interactive calculator using its prescribed syntax, and it will give you the correct answer. It’s like having a private tutor 24/7/365 with you at all times!

Note: If you want more help, and therefore, would want to see how Mathway solves the problem step by step, you can click “Tap to view steps…” to redirect you to the developer’s website for a modest subscription fee which in return, I will receive some monetary compensation .

However, if what you need is to simply check if you arrived at the correct answer and not necessarily detailed step-by-step answers, then the widget should be sufficient for you.

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Never be outnumbered by your math homework again.

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Online Equation Solver

Solve linear, quadratic and polynomial systems of equations with wolfram|alpha.

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More than just an online equation solver

Wolfram|Alpha is a great tool for finding polynomial roots and solving systems of equations. It also factors polynomials, plots polynomial solution sets and inequalities and more.

Solve equations, systems of equations and inequalities with plots and alternate forms

Learn more about:

  • Equation solving

Tips for entering queries

Enter your queries using plain English. To avoid ambiguous queries, make sure to use parentheses where necessary. Here are some examples illustrating how to formulate queries.

  • find roots to quadratic x^2-7x+12
  • plot inequality x^2-7x+12<=0
  • solve {3x-5y==2,x+2y==-1}
  • plot inequality 3x-5y>=2 and x+2y<=-1
  • solve 3x^2-y^2==2 and x+2y^2==5
  • plot 3x^2-y^2>=2 and x+2y^2<=5
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About solving equations

A value c c is said to be a root of a polynomial p(x) p x if p(c)=0 p c = 0 ..

. This polynomial is considered to have two roots, both equal to 3.

One learns about the "factor theorem," typically in a second course on algebra, as a way to find all roots that are rational numbers. One also learns how to find roots of all quadratic polynomials, using square roots (arising from the discriminant) when necessary. There are more advanced formulas for expressing roots of cubic and quartic polynomials, and also a number of numeric methods for approximating roots of arbitrary polynomials. These use methods from complex analysis as well as sophisticated numerical algorithms, and indeed, this is an area of ongoing research and development.

Systems of linear equations are often solved using Gaussian elimination or related methods. This too is typically encountered in secondary or college math curricula. More advanced methods are needed to find roots of simultaneous systems of nonlinear equations. Similar remarks hold for working with systems of inequalities: the linear case can be handled using methods covered in linear algebra courses, whereas higher-degree polynomial systems typically require more sophisticated computational tools.

How Wolfram|Alpha solves equations

For equation solving, Wolfram|Alpha calls the Wolfram Language's Solve and Reduce functions, which contain a broad range of methods for all kinds of algebra, from basic linear and quadratic equations to multivariate nonlinear systems. In some cases, linear algebra methods such as Gaussian elimination are used, with optimizations to increase speed and reliability. Other operations rely on theorems and algorithms from number theory, abstract algebra and other advanced fields to compute results. These methods are carefully designed and chosen to enable Wolfram|Alpha to solve the greatest variety of problems while also minimizing computation time.

Although such methods are useful for direct solutions, it is also important for the system to understand how a human would solve the same problem. As a result, Wolfram|Alpha also has separate algorithms to show algebraic operations step by step using classic techniques that are easy for humans to recognize and follow. This includes elimination, substitution, the quadratic formula, Cramer's rule and many more.

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AI Math Calculator Reviews

This tool combines the power of mathematical computation engine that excels at solving mathematical formulas with the power of artificial intelligence large language models to parse and generate natural language answers. This creates a math problem solver that's more accurate than ChatGPT, more flexible than a math calculator, and provides answers faster than a human tutor.

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Problem Solver Subjects

Our math problem solver that lets you input a wide variety of math math problems and it will provide a step by step answer. This math solver excels at math word problems as well as a wide range of math subjects.

  • Math Word Problems
  • Pre-Algebra
  • Geometry Graphing
  • Trigonometry
  • Precalculus
  • Finite Math
  • Linear Algebra

Here are example math problems within each subject that can be input into the calculator and solved. This list is constanstly growing as functionality is added to the calculator.

Basic Math Solutions

Below are examples of basic math problems that can be solved.

  • Long Arithmetic
  • Rational Numbers
  • Operations with Fractions
  • Ratios, Proportions, Percents
  • Measurement, Area, and Volume
  • Factors, Fractions, and Exponents
  • Unit Conversions
  • Data Measurement and Statistics
  • Points and Line Segments

Math Word Problem Solutions

Math word problems require interpreting what is being asked and simplifying that into a basic math equation. Once you have the equation you can then enter that into the problem solver as a basic math or algebra question to be correctly solved. Below are math word problem examples and their simplified forms.

Word Problem: Rachel has 17 apples. She gives some to Sarah. Sarah now has 8 apples. How many apples did Rachel give her?

Simplified Equation: 17 - x = 8

Word Problem: Rhonda has 12 marbles more than Douglas. Douglas has 6 marbles more than Bertha. Rhonda has twice as many marbles as Bertha has. How many marbles does Douglas have?

Variables: Rhonda's marbles is represented by (r), Douglas' marbles is represented by (d) and Bertha's marbles is represented by (b)

Simplified Equation: {r = d + 12, d = b + 6, r = 2 �� b}

Word Problem: if there are 40 cookies all together and Angela takes 10 and Brett takes 5 how many are left?

Simplified: 40 - 10 - 5

Pre-Algebra Solutions

Below are examples of Pre-Algebra math problems that can be solved.

  • Variables, Expressions, and Integers
  • Simplifying and Evaluating Expressions
  • Solving Equations
  • Multi-Step Equations and Inequalities
  • Ratios, Proportions, and Percents
  • Linear Equations and Inequalities

Algebra Solutions

Below are examples of Algebra math problems that can be solved.

  • Algebra Concepts and Expressions
  • Points, Lines, and Line Segments
  • Simplifying Polynomials
  • Factoring Polynomials
  • Linear Equations
  • Absolute Value Expressions and Equations
  • Radical Expressions and Equations
  • Systems of Equations
  • Quadratic Equations
  • Inequalities
  • Complex Numbers and Vector Analysis
  • Logarithmic Expressions and Equations
  • Exponential Expressions and Equations
  • Conic Sections
  • Vector Spaces
  • 3d Coordinate System
  • Eigenvalues and Eigenvectors
  • Linear Transformations
  • Number Sets
  • Analytic Geometry

Trigonometry Solutions

Below are examples of Trigonometry math problems that can be solved.

  • Algebra Concepts and Expressions Review
  • Right Triangle Trigonometry
  • Radian Measure and Circular Functions
  • Graphing Trigonometric Functions
  • Simplifying Trigonometric Expressions
  • Verifying Trigonometric Identities
  • Solving Trigonometric Equations
  • Complex Numbers
  • Analytic Geometry in Polar Coordinates
  • Exponential and Logarithmic Functions
  • Vector Arithmetic

Precalculus Solutions

Below are examples of Precalculus math problems that can be solved.

  • Operations on Functions
  • Rational Expressions and Equations
  • Polynomial and Rational Functions
  • Analytic Trigonometry
  • Sequences and Series
  • Analytic Geometry in Rectangular Coordinates
  • Limits and an Introduction to Calculus

Calculus Solutions

Below are examples of Calculus math problems that can be solved.

  • Evaluating Limits
  • Derivatives
  • Applications of Differentiation
  • Applications of Integration
  • Techniques of Integration
  • Parametric Equations and Polar Coordinates
  • Differential Equations

Statistics Solutions

Below are examples of Statistics problems that can be solved.

  • Algebra Review
  • Average Descriptive Statistics
  • Dispersion Statistics
  • Probability
  • Probability Distributions
  • Frequency Distribution
  • Normal Distributions
  • t-Distributions
  • Hypothesis Testing
  • Estimation and Sample Size
  • Correlation and Regression

Finite Math Solutions

Below are examples of Finite Math problems that can be solved.

  • Polynomials and Expressions
  • Equations and Inequalities
  • Linear Functions and Points
  • Systems of Linear Equations
  • Mathematics of Finance
  • Statistical Distributions

Linear Algebra Solutions

Below are examples of Linear Algebra math problems that can be solved.

  • Introduction to Matrices
  • Linear Independence and Combinations

Chemistry Solutions

Below are examples of Chemistry problems that can be solved.

  • Unit Conversion
  • Atomic Structure
  • Molecules and Compounds
  • Chemical Equations and Reactions
  • Behavior of Gases
  • Solutions and Concentrations

Physics Solutions

Below are examples of Physics math problems that can be solved.

  • Static Equilibrium
  • Dynamic Equilibrium
  • Kinematics Equations
  • Electricity
  • Thermodymanics

Geometry Graphing Solutions

Below are examples of Geometry and graphing math problems that can be solved.

  • Step By Step Graphing
  • Linear Equations and Functions
  • Polar Equations

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Online Math Problem Solver

An absolutely free universal math problem solver:

Solve your math problems online. The free version gives you just answers. If you would like to see complete solutions you need to sign up for an account.

Basic Math Plan

Basic Math Solver offers you solving online fraction problems, metric conversions, power and radical problems. You can find area and volume of rectangles, circles, triangles, trapezoids, boxes, cylinders, cones, pyramids, spheres. You can simplify and evaluate expressions, factor/multiply polynomials, combine expressions.

Online Pre-Algebra(Geometry) Solver

You can solve all problems from the basic math section plus solving simple equations, inequalities and coordinate plane problems. You can also evaluate expressions, factor polynomials, combine/multiply/divide expressions.

Online Algebra Solver

Online trigonometry solver.

Solve all type of trigonometric (sin, cos, tan, sec, scs, cot) expressions, equations, inequalities. Graph trigonometric functions. Trigonometry of a right triangle.

Online Pre-calculus Solver

Include everything above plus finding limits (lim), sums, matrices.

Online Calculus Solver

Solve integral problems - definite, indefinite integrals.

Online Statistics Solver

Solve your probability, combination, permutation problems. Statistics - find median, mean (arithmetic, geometric, quadratic), mode, dispersion, mormal distributions, t-Distribution. The solver successfully do Statistical hypothesis testing

Online Chemistry Solver

You can online solve chemistry equations.

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Overview of the Problem-Solving Mental Process

Kendra Cherry, MS, is a psychosocial rehabilitation specialist, psychology educator, and author of the "Everything Psychology Book."

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Rachel Goldman, PhD FTOS, is a licensed psychologist, clinical assistant professor, speaker, wellness expert specializing in eating behaviors, stress management, and health behavior change.

problem solving that the answer is 17

  • Identify the Problem
  • Define the Problem
  • Form a Strategy
  • Organize Information
  • Allocate Resources
  • Monitor Progress
  • Evaluate the Results

Frequently Asked Questions

Problem-solving is a mental process that involves discovering, analyzing, and solving problems. The ultimate goal of problem-solving is to overcome obstacles and find a solution that best resolves the issue.

The best strategy for solving a problem depends largely on the unique situation. In some cases, people are better off learning everything they can about the issue and then using factual knowledge to come up with a solution. In other instances, creativity and insight are the best options.

It is not necessary to follow problem-solving steps sequentially, It is common to skip steps or even go back through steps multiple times until the desired solution is reached.

In order to correctly solve a problem, it is often important to follow a series of steps. Researchers sometimes refer to this as the problem-solving cycle. While this cycle is portrayed sequentially, people rarely follow a rigid series of steps to find a solution.

The following steps include developing strategies and organizing knowledge.

1. Identifying the Problem

While it may seem like an obvious step, identifying the problem is not always as simple as it sounds. In some cases, people might mistakenly identify the wrong source of a problem, which will make attempts to solve it inefficient or even useless.

Some strategies that you might use to figure out the source of a problem include :

  • Asking questions about the problem
  • Breaking the problem down into smaller pieces
  • Looking at the problem from different perspectives
  • Conducting research to figure out what relationships exist between different variables

2. Defining the Problem

After the problem has been identified, it is important to fully define the problem so that it can be solved. You can define a problem by operationally defining each aspect of the problem and setting goals for what aspects of the problem you will address

At this point, you should focus on figuring out which aspects of the problems are facts and which are opinions. State the problem clearly and identify the scope of the solution.

3. Forming a Strategy

After the problem has been identified, it is time to start brainstorming potential solutions. This step usually involves generating as many ideas as possible without judging their quality. Once several possibilities have been generated, they can be evaluated and narrowed down.

The next step is to develop a strategy to solve the problem. The approach used will vary depending upon the situation and the individual's unique preferences. Common problem-solving strategies include heuristics and algorithms.

  • Heuristics are mental shortcuts that are often based on solutions that have worked in the past. They can work well if the problem is similar to something you have encountered before and are often the best choice if you need a fast solution.
  • Algorithms are step-by-step strategies that are guaranteed to produce a correct result. While this approach is great for accuracy, it can also consume time and resources.

Heuristics are often best used when time is of the essence, while algorithms are a better choice when a decision needs to be as accurate as possible.

4. Organizing Information

Before coming up with a solution, you need to first organize the available information. What do you know about the problem? What do you not know? The more information that is available the better prepared you will be to come up with an accurate solution.

When approaching a problem, it is important to make sure that you have all the data you need. Making a decision without adequate information can lead to biased or inaccurate results.

5. Allocating Resources

Of course, we don't always have unlimited money, time, and other resources to solve a problem. Before you begin to solve a problem, you need to determine how high priority it is.

If it is an important problem, it is probably worth allocating more resources to solving it. If, however, it is a fairly unimportant problem, then you do not want to spend too much of your available resources on coming up with a solution.

At this stage, it is important to consider all of the factors that might affect the problem at hand. This includes looking at the available resources, deadlines that need to be met, and any possible risks involved in each solution. After careful evaluation, a decision can be made about which solution to pursue.

6. Monitoring Progress

After selecting a problem-solving strategy, it is time to put the plan into action and see if it works. This step might involve trying out different solutions to see which one is the most effective.

It is also important to monitor the situation after implementing a solution to ensure that the problem has been solved and that no new problems have arisen as a result of the proposed solution.

Effective problem-solvers tend to monitor their progress as they work towards a solution. If they are not making good progress toward reaching their goal, they will reevaluate their approach or look for new strategies .

7. Evaluating the Results

After a solution has been reached, it is important to evaluate the results to determine if it is the best possible solution to the problem. This evaluation might be immediate, such as checking the results of a math problem to ensure the answer is correct, or it can be delayed, such as evaluating the success of a therapy program after several months of treatment.

Once a problem has been solved, it is important to take some time to reflect on the process that was used and evaluate the results. This will help you to improve your problem-solving skills and become more efficient at solving future problems.

A Word From Verywell​

It is important to remember that there are many different problem-solving processes with different steps, and this is just one example. Problem-solving in real-world situations requires a great deal of resourcefulness, flexibility, resilience, and continuous interaction with the environment.

Number Line

The Algebra Calculator is a versatile online tool designed to simplify algebraic problem-solving for users of all levels. Here's how to make the most of it:

  • Begin by typing your algebraic expression into the above input field, or scanning the problem with your camera.
  • After entering the equation, click the 'Go' button to generate instant solutions.
  • The calculator provides detailed step-by-step solutions, aiding in understanding the underlying concepts.
  • -x+3\gt 2x+1
  • (x+5)(x-5)\gt 0
  • 10^{1-x}=10^4
  • \sqrt{3+x}=-2
  • 6+11x+6x^2+x^3=0
  • factor\:x^{2}-5x+6
  • simplify\:\frac{2}{3}-\frac{3}{2}+\frac{1}{4}
  • x+2y=2x-5,\:x-y=3
  • How do you solve algebraic expressions?
  • To solve an algebraic expression, simplify the expression by combining like terms, isolate the variable on one side of the equation by using inverse operations. Then, solve the equation by finding the value of the variable that makes the equation true.
  • What are the basics of algebra?
  • The basics of algebra are the commutative, associative, and distributive laws.
  • What are the 3 rules of algebra?
  • The basic rules of algebra are the commutative, associative, and distributive laws.
  • What is the golden rule of algebra?
  • The golden rule of algebra states Do unto one side of the equation what you do to others. Meaning, whatever operation is being used on one side of equation, the same will be used on the other side too.
  • What are the 5 basic laws of algebra?
  • The basic laws of algebra are the Commutative Law For Addition, Commutative Law For Multiplication, Associative Law For Addition, Associative Law For Multiplication, and the Distributive Law.
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What is Problem Solving? (Steps, Techniques, Examples)

By Status.net Editorial Team on May 7, 2023 — 5 minutes to read

What Is Problem Solving?

Definition and importance.

Problem solving is the process of finding solutions to obstacles or challenges you encounter in your life or work. It is a crucial skill that allows you to tackle complex situations, adapt to changes, and overcome difficulties with ease. Mastering this ability will contribute to both your personal and professional growth, leading to more successful outcomes and better decision-making.

Problem-Solving Steps

The problem-solving process typically includes the following steps:

  • Identify the issue : Recognize the problem that needs to be solved.
  • Analyze the situation : Examine the issue in depth, gather all relevant information, and consider any limitations or constraints that may be present.
  • Generate potential solutions : Brainstorm a list of possible solutions to the issue, without immediately judging or evaluating them.
  • Evaluate options : Weigh the pros and cons of each potential solution, considering factors such as feasibility, effectiveness, and potential risks.
  • Select the best solution : Choose the option that best addresses the problem and aligns with your objectives.
  • Implement the solution : Put the selected solution into action and monitor the results to ensure it resolves the issue.
  • Review and learn : Reflect on the problem-solving process, identify any improvements or adjustments that can be made, and apply these learnings to future situations.

Defining the Problem

To start tackling a problem, first, identify and understand it. Analyzing the issue thoroughly helps to clarify its scope and nature. Ask questions to gather information and consider the problem from various angles. Some strategies to define the problem include:

  • Brainstorming with others
  • Asking the 5 Ws and 1 H (Who, What, When, Where, Why, and How)
  • Analyzing cause and effect
  • Creating a problem statement

Generating Solutions

Once the problem is clearly understood, brainstorm possible solutions. Think creatively and keep an open mind, as well as considering lessons from past experiences. Consider:

  • Creating a list of potential ideas to solve the problem
  • Grouping and categorizing similar solutions
  • Prioritizing potential solutions based on feasibility, cost, and resources required
  • Involving others to share diverse opinions and inputs

Evaluating and Selecting Solutions

Evaluate each potential solution, weighing its pros and cons. To facilitate decision-making, use techniques such as:

  • SWOT analysis (Strengths, Weaknesses, Opportunities, Threats)
  • Decision-making matrices
  • Pros and cons lists
  • Risk assessments

After evaluating, choose the most suitable solution based on effectiveness, cost, and time constraints.

Implementing and Monitoring the Solution

Implement the chosen solution and monitor its progress. Key actions include:

  • Communicating the solution to relevant parties
  • Setting timelines and milestones
  • Assigning tasks and responsibilities
  • Monitoring the solution and making adjustments as necessary
  • Evaluating the effectiveness of the solution after implementation

Utilize feedback from stakeholders and consider potential improvements. Remember that problem-solving is an ongoing process that can always be refined and enhanced.

Problem-Solving Techniques

During each step, you may find it helpful to utilize various problem-solving techniques, such as:

  • Brainstorming : A free-flowing, open-minded session where ideas are generated and listed without judgment, to encourage creativity and innovative thinking.
  • Root cause analysis : A method that explores the underlying causes of a problem to find the most effective solution rather than addressing superficial symptoms.
  • SWOT analysis : A tool used to evaluate the strengths, weaknesses, opportunities, and threats related to a problem or decision, providing a comprehensive view of the situation.
  • Mind mapping : A visual technique that uses diagrams to organize and connect ideas, helping to identify patterns, relationships, and possible solutions.

Brainstorming

When facing a problem, start by conducting a brainstorming session. Gather your team and encourage an open discussion where everyone contributes ideas, no matter how outlandish they may seem. This helps you:

  • Generate a diverse range of solutions
  • Encourage all team members to participate
  • Foster creative thinking

When brainstorming, remember to:

  • Reserve judgment until the session is over
  • Encourage wild ideas
  • Combine and improve upon ideas

Root Cause Analysis

For effective problem-solving, identifying the root cause of the issue at hand is crucial. Try these methods:

  • 5 Whys : Ask “why” five times to get to the underlying cause.
  • Fishbone Diagram : Create a diagram representing the problem and break it down into categories of potential causes.
  • Pareto Analysis : Determine the few most significant causes underlying the majority of problems.

SWOT Analysis

SWOT analysis helps you examine the Strengths, Weaknesses, Opportunities, and Threats related to your problem. To perform a SWOT analysis:

  • List your problem’s strengths, such as relevant resources or strong partnerships.
  • Identify its weaknesses, such as knowledge gaps or limited resources.
  • Explore opportunities, like trends or new technologies, that could help solve the problem.
  • Recognize potential threats, like competition or regulatory barriers.

SWOT analysis aids in understanding the internal and external factors affecting the problem, which can help guide your solution.

Mind Mapping

A mind map is a visual representation of your problem and potential solutions. It enables you to organize information in a structured and intuitive manner. To create a mind map:

  • Write the problem in the center of a blank page.
  • Draw branches from the central problem to related sub-problems or contributing factors.
  • Add more branches to represent potential solutions or further ideas.

Mind mapping allows you to visually see connections between ideas and promotes creativity in problem-solving.

Examples of Problem Solving in Various Contexts

In the business world, you might encounter problems related to finances, operations, or communication. Applying problem-solving skills in these situations could look like:

  • Identifying areas of improvement in your company’s financial performance and implementing cost-saving measures
  • Resolving internal conflicts among team members by listening and understanding different perspectives, then proposing and negotiating solutions
  • Streamlining a process for better productivity by removing redundancies, automating tasks, or re-allocating resources

In educational contexts, problem-solving can be seen in various aspects, such as:

  • Addressing a gap in students’ understanding by employing diverse teaching methods to cater to different learning styles
  • Developing a strategy for successful time management to balance academic responsibilities and extracurricular activities
  • Seeking resources and support to provide equal opportunities for learners with special needs or disabilities

Everyday life is full of challenges that require problem-solving skills. Some examples include:

  • Overcoming a personal obstacle, such as improving your fitness level, by establishing achievable goals, measuring progress, and adjusting your approach accordingly
  • Navigating a new environment or city by researching your surroundings, asking for directions, or using technology like GPS to guide you
  • Dealing with a sudden change, like a change in your work schedule, by assessing the situation, identifying potential impacts, and adapting your plans to accommodate the change.
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10 Best Indie Puzzle Games

If you like some innovative and original puzzle-solving games, you can't go wrong with our selection of indie titles.

You'll find everything you need below, from vague hints as to what you should be looking for to the outright answers. Whether you're looking for a nudge in the right direction or a sneaky way to preserve your blemish-free record, you've come to the right place.

If you're here by mistake and instead need the answers for July 3 , click here .

Connections banner - category hints

Today's puzzle requires a little specialist knowledge.

We'll present these hints from the easiest category to the hardest , as prescribed by the puzzle itself - Yellow, Green, Blue, then Purple.

If you want today's category hints, click below ! These will not spoil the actual names of the categories but will nudge you in the right direction.

Connections banner - Spoilers in green

Today's yellow category relates to dating and romance.

Today's green category relates to the internet and the programs used to browse it.

Today's blue category has words relating to circular movements.

Today's purple category has words that may be followed by a loud instrument often associated with churches.

Herring Watch : School subjects and date locations aren't related.

Connections banner - answers

Today's puzzle was an easier one for us.

If you want today's answers, click below !

Connections banner - Spoilers in purple

Today's answers are listed below:

Yellow Category : Romantic Rapport

Attraction, Chemistry, Fireworks, Sparks

Green Category : Things Stored By A Web Browser

Cache, Cookies, Data, History

Blue Category : Single Rotation

Cycle, Lap, Revolution, Turn

Purple Category : Words Before "Bell"

Bar, Dinner, Liberty, Tinker

Mobile Phone Text Games 4 pics 1 word words with friends and pictoword

Mobile Games That Can Improve Your Vocabulary

These mobile word games can help you learn new words and expand your vocabulary.

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NYT Strands today: hints, spangram and answers for Thursday, July 4

Strands is a brand new daily puzzle from the New York Times. A trickier take on the classic word search, you’ll need a keen eye to solve this puzzle.

How to play Strands

  • Hint for today’s Strands puzzle
  • Today’s Strand answers

Like Wordle , Connections , and the Mini Crossword , Strands can be a bit difficult to solve some days. There’s no shame in needing a little help from time to time. If you’re stuck and need to know the answers to today’s Strands puzzle, check out the solved puzzle below.

You start every Strands puzzle with the goal of finding the “theme words” hidden in the grid of letters. Manipulate letters by dragging or tapping to craft words; double-tap the final letter to confirm. If you find the correct word, the letters will be highlighted blue and will no longer be selectable.

If you find a word that isn’t a theme word, it still helps! For every three non-theme words you find that are at least four letters long, you’ll get a hint — the letters of one of the theme words will be revealed and you’ll just have to unscramble it.

Every single letter on the grid is used to spell out the theme words and there is no overlap. Every letter will be used once, and only once.

Each puzzle contains one “spangram,” a special theme word (or words) that describe the puzzle’s theme and touches two opposite sides of the board. When you find the spangram, it will be highlighted yellow.

The goal should be to complete the puzzle quickly without using too many hints.

Hint for today’s Strands puzzle

Today’s theme is “Nation celebration.”

Here’s a hint that might help you: the 4th of July activities.

Today’s Strand answers

Today’s spanagram.

We’ll start by giving you the spangram, which might help you figure out the theme and solve the rest of the puzzle on your own:

  • INDEPENDENCEDAY

Today’s Strands answers

Editors’ recommendations.

  • NYT Mini Crossword today: puzzle answers for Thursday, July 4
  • NYT Crossword: answers for Thursday, July 4
  • NYT Spelling Bee: answers for Friday, May 10
  • All Faded Plaque puzzle solutions in Diablo 4
  • You can get Death Stranding for free right now on PC. Here’s how

Sam Hill

In the world of Resident Evil 4, it isn't just the existence of viruses and parasites that turn normal people into crazed zombies that differentiates it from our own reality. In this ream, most homes and buildings don't just simply lock their doors, but secure them using obscure puzzles, such as the one you will find early on when you reach the Village Chief's Manor. This small home has two major roadblocks preventing you from moving on and pursuing your goal of finding the president's daughter. While there is a clue to the first puzzle, it is still somewhat cryptic and easy to miss, while the second is much less clear on what you're even being asked to do. Don't let these early puzzles stump you for too long -- use our help in solving the Village Chief's Manor puzzles in Resident Evil 4. How to solve the cabinet lock puzzle

After entering the manor and dealing with a lone enemy in the bathroom, the first puzzle you need to solve is on the ground floor. Around the back of the house, down the hall with a Red Herb, is a large cabinet. The lock has three symbols you need to correctly align to open, and those symbols include things such as wheat, animals, babies, and birds. You won't be able to guess this one, so instead, you need to go up to the second floor and examine a book on a table in the hallway. This document, called "Illuminados 4:3, spells out the solution. The important part is the middle paragraph with the highlighted text that reads: "The old farmer, his finest crop./ The Slight swineherd, his stoutest pig./ The beggarly grandam, her own beloved babe."

505 Games has announced that Death Stranding is coming to PC Game Pass on August 23. The publisher has confirmed that the version coming to the subscription service is the original 2019 game and not its Director's Cut.

The game will have ultrawide support, a photo mode, and high framerates. 505 Games also mentions that it will get cross-over content, which presumably refers to the Half Life and Cyberpunk 2077 collaborations. Additionally, players will get some unlockable items:

There are some days when Wordle players get different answers depending on the browser they're using to play the game. Today happens to be one of those days, but for a vastly different reason. The New York Times revised today's Wordle answer because of its unintentional connection to the Supreme Court's impending ruling on Roe v. Wade.

The original answer to Wordle 324 was supposed to be "fetus." Wordle founder Josh Wardle scheduled that solution to show up today over a year ago, long before The New York Times bought the game at the height of its popularity in January. Everdeen Mason, editorial director for New York Times Games, said in a statement that it changed the answer to something entirely different because of its proximity to the Supreme Court's draft opinion that leaked last week and contained a proposal to overturn the 1973 landmark Roe v. Wade abortion ruling, which sent shock waves across the country.

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The Chicago Cubs have a problem at catcher. Iowa's Moises Ballesteros could be the answer

problem solving that the answer is 17

At the start of every baseball season, Chicago Cubs prospect Moises Ballesteros comes up with a big goal he wants to accomplish for the year and tells his parents.

This year's was simple.

“My goal for this year and the start of the season was to finish in Triple-A,” Ballesteros said with a smile.

Ballesteros has made it that far. The 20-year-old star for the Iowa Cubs now has his sights set on even bigger things after a strong start to the season.

“Now my goal is to finish in the big leagues,” Ballesteros said.

That certainly seems like a possibility for the left-handed hitting catcher, who is now one short step away from the majors for the first time in his career.

Ballesteros has been a highly coveted player by the Cubs ever since the Venezuelan youth star signed with the organization for $1.2 million. He’s lived up to the high hopes placed upon him with strong seasons in 2021 and 2022. His best season, though, came in 2023.

Ballesteros, then just 19 years old, hit .285 with 27 doubles, 14 home runs and 64 RBIs in 117 games across three levels with Single-A Myrtle Beach, High-A South Bend and Double-A Tennessee.

After the season, he was named Chicago’s Minor League Player of the Year. But even with that big breakout season, Ballesteros figured he’d spend the bulk of the 2023 season in Double-A with the Smokies.

But after hitting .299 with nine doubles and nine homers in 56 games, Ballesteros was summoned into Tennessee manager Lance Rymel’s office. He was going to Triple-A.

“I was really excited for me,” Ballesteros said.

He quickly altered his goal for the season. Now that he’d reached Triple-A for the first time in his career, he figured making it to the big leagues was well within his grasp.

The timing couldn't be much better. Chicago has struggled mightily to find any sort of consistency from the catching position this season.

Ballesteros said he understand that the Cubs are looking for an answer at the position. He thinks he could be it.

"I'm working so hard," Ballesteros said.

That hard work has paid off for Ballesteros who has adjusted nicely to Triple-A pitching so far. In his first five games with Iowa, he hit .350 (7-for-20) with a double and homer. He's played first, been behind the plate and even been the DH this season. He said the plan is to continue that in Iowa, where he'll catch three to four days a week.

"I need more work behind the plate," he said.

But Ballesteros is proving that he's ahead of the curve at the plate while making a compelling case for his first big league promotion.

"I feel good, really good," he said. "I feel really comfortable in the box."

Tommy Birch, the Register's sports enterprise and features reporter, has been working at the newspaper since 2008. He's the 2018, 2020 and 2023 Iowa Sportswriter of the Year. Reach him at [email protected] or 515-284-8468.

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Can Claudia Sheinbaum solve Mexico’s water crisis?

The country’s incoming president made water her “main concern” when she was mayor of mexico city..

President-elect of Mexico Claudia Sheinbaum stands at a podium during a press conference at the Palacio Nacional in Mexico City on June 10, 2024.

Claudia Sheinbaum won a commanding victory in last month’s Mexican presidential election, winning almost 60 percent of the vote and securing legislative majorities for her left-wing Morena party. A former climate scientist and mayor of Mexico City, Sheinbaum dominated the polls after emerging as the successor to the popular outgoing president, Andrés Manuel López Obrador.

Even as Sheinbaum prepares to take office, the city she ran between 2018 and 2023 is making global headlines as it suffers through a historic water crisis . Millions of low-income residents across the city rely on intermittent deliveries of contaminated groundwater, and even wealthier neighborhoods have seen their taps shut off as the city’s key reservoirs run dry. Not only that, but the city loses around 40 percent of its water supply to leaks in its underground pipes.

Sheinbaum tried to tackle these problems as mayor, pursuing projects to capture rainwater, restore depleted aquifers, and replace and upgrade aging pipes . But water experts and public officials who worked with Sheinbaum say she lacked the resources to turn around a crisis that has been decades in the making. The new power she will have as president, plus a wave of new leadership in the local and regional governments of Mexico City, could usher in a sweeping change in how one of the world’s most populous countries manages its water and adapts to climate-fueled drought.

“Water is her main concern,” said Armando Alonso Beltrán, the head of the water department for the state government in the Mexico City region and a friend of Sheinbaum’s. “It’s in her top priorities, and it always has been.”

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Enrique Lomnitz, an engineer whose company, Isla Urbana, has built rainfall harvesting systems across the city, agreed that Sheinbaum made significant progress as mayor, but said the city still has a long way to go.

“She has a very good record, and she started a lot of paradigm-shifting programs that opened new possibilities for approaching the water crisis,” he told Grist. “But these are still very small things compared to the scale of the problem.”

That’s because Mexico’s water crisis is really several different crises. The shortage that captured global headlines this spring came about due to an extreme drought caused by the El Niño climate phenomenon. When spring rains failed to arrive, several key reservoirs that supply water to the city emptied out, forcing city officials to implement rotating water shutoffs in the wealthy neighborhoods that are fortunate enough to have consistent running water.

But these reservoirs only supply around 30 percent of Mexico City’s water, most of which goes to the wealthier neighborhoods in the city center. The rest of the metropolis draws water from underground aquifers that have been dwindling for decades, so much so that parts of the city have sunk by several feet. The water that does still come out of these aquifers is often contaminated with toxic chemicals .

A man carries a barrel for water in the Iztapalapa borough of Mexico City. The city has experienced a worsening water crisis for decades as underground aquifers run dry.

The problem is not that there isn’t enough water to recharge these aquifers over time: Mexico City gets around 34 inches of rainfall a year, similar to Midwest states like Iowa. But the city has grown by millions of people in recent decades without investing in infrastructure to capture and distribute all that water. The critical forest that recharges the aquifer, known as the “Bosque del Agua” or “water forest,” has diminished over the past century due to logging and development. Meanwhile, the water authority has failed to maintain the residential water system, which has resulted in an astonishing amount of water being lost to leaks — more than 40 percent of the total water supply, one of the highest rates in the world.

Sheinbaum faced all these problems as mayor of Mexico City. In 2019, less than a year into her tenure, she announced a major effort to control these leaks, deploying dozens of “leak response brigades” that would locate and plug holes in the water grid. It’s hard to gauge how successful she’s been, said Lomnitz, because fixing a leak in one part of the system can increase water pressure in another part of the system and thus cause more leaks. And as the city sinks thanks to aquifer subsidence, more leaks appear.

“There’s like a Whac-a-Mole kind of thing happening,” said Lomnitz. “You fix the leaks here and they increase over there.” Despite Sheinbaum’s investment, the city is likely billions of dollars away from meaningful water savings from leak reduction.

“There were mixed results, mostly positive, from her time as mayor,” said Alonso. “But it’s hard to tell the final results, because the drought came last year and there was less water.”

Making the city “spongy” enough to catch and store falling rain is even harder given Mexico City’s idiosyncratic history. The city lies on a former lakebed that early Spanish colonists drained in the 17th century, and as a result it is prone to frequent flooding. The city’s leaders have spent the equivalent of billions of dollars over the past hundred years to build tunnels that can drain this floodwater away from the metropolis, including a massive 38-mile tunnel project that opened in 2019.

“Our issue has always been how to take out water from the city, and as we had this very rich aquifer and this amount of rain which is quite good, we never had this problem of scarcity,” said Loreta Castro Reguera, an architect who has worked on a number of water projects in Mexico City. The city also has a problem of “technological inertia” as it seeks to capture and harvest rainwater, added Castro Reguera: It uses the same tunnel system to flush out stormwater and sewage, which makes it almost impossible to treat and reroute rainwater for residential usage.  

Since building a parallel pipe system for stormwater would be almost unthinkably expensive, the city’s best option is to start smaller, capturing rainwater at the household or neighborhood level. Sheinbaum started doing this as mayor through a number of innovative nature-based projects. For instance, the city transformed a former landfill near the city’s largest wastewater treatment plant into a restored wetland that filters and treats captured stormwater, yielding a new high-quality water supply. She also worked with Lomnitz’s Isla Urbana to install thousands of household catchment systems and boosted the budget for infrastructure repairs.

Another model comes from Sheinbaum’s incoming successor as the mayor of Mexico City, fellow Morena member Clara Brugada, who has her own record tackling water issues. Brugada, who will take office later this year, has served for almost a decade as the mayor of Iztapalapa, a large impoverished borough in the eastern part of the city. Iztapalapa has struggled for decades with crime and water shortages, but Brugada took major steps to replace faulty infrastructure and created several community spaces known as “utopias” that combine green space with free public services and recreational areas.

One of the banner projects in the borough was La Quebradora, a “hydraulic park” designed by Castro Reguera’s firm with support from the local government. The park captures stormwater to reduce flooding in nearby areas and funnels that water down into the aquifer, recharging groundwater and easing the local water shortage. 

“The impulse needs to come from the government,” said Castro Reguera, describing the need for more projects like the one in Iztapalapa. “This might be a chance to put more of these projects in place.”

Incoming Mexico City mayor Clara Brugada, left, stands with Mexico's president-elect Claudia Sheinbaum during an election celebration. Both politicians have received praise for tackling Mexico City's water crisis.

Sheinbaum, however, will have to worry about water issues in areas far from Mexico City, because the country’s northern states are facing a very different water problem than the capital. In these states, which are much drier than the region around Mexico City, the problem is less poor management than it is a lack of supply. The vast majority of water in these areas goes to irrigate crops such as avocados and alfalfa, and another share supplies numerous mining operations, leaving very little leftover for residential use. 

Sheinbaum and her predecessor López Obrador have tried to tackle this problem by curbing so-called water concessions, which grant farms and mines the exclusive right to tap rivers and aquifers. Before the election, López Obrador pushed a constitutional amendment that would have allowed the government to cut off water to mines during a drought, and Sheinbaum has signaled she, too, will support that measure. She has also reportedly called for a revamp of the national water law that would limit water use by farms, though this effort will likely face opposition from powerful agricultural interests. (Neither the president’s office nor the campaign offices of Sheinbaum and Brugada responded to Grist’s interview requests.)

In these northern states as well as in Mexico City, the water crisis is as much a problem of governance as it is one of physical shortage. The country’s national water authority has faced accusations of bribery and corruption for years, and the local authority in Mexico City has faced criticism as well for a lack of transparency about water quality. These are the same utilities that Lomnitz says have underinvested in infrastructure for decades.

But the conditions are ripe for a surge of investment. Sheinbaum holds the presidency, which will give her access to a much larger budget to invest in water storage and treatment projects. Brugada has promised to continue her focus on rainwater harvesting and environmental justice as the mayor of Mexico City. The new head of Mexico City’s regional government is also a member of the Morena party, and which means all the levels of government are aligned for the first time in decades.

Victor Magaña Rueda, an environmental scientist at the National Autonomous University of Mexico who has studied climate impacts in Mexico City, told Grist that he believes Sheinbaum has the political will to turn around the trend of disinvestment and delay.

“She has a very profound knowledge of what the water crisis in Mexico is,” said Magaña. “She is more interested in environmental problems I would say than our president right now. But the important thing is that she knows that we cannot go on in a situation like we lived in for the past few years.”

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International, how to create a ‘world without waste’ here are the plastic industry’s ideas., how a ‘citizen map’ is helping brazil prepare for its next big flood, food’s climate footprint was once again mia at global talks, the kids are not alright: countries fail to include children in their climate plans, no parm, no problem: how modern chefs are veganizing the caesar salad, the quick, quiet death of biden’s natural gas export pause, a biden effort to conserve oceans is leaving out indigenous peoples, report finds, biden admin unveils first-ever heat protections for workers. here’s what to know., modal gallery.

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