## Solved Problems

3. The Bieberbach conjecture (L. de Branges 1985).

5. Fermat's last theorem (Wiles 1995, Taylor and Wiles 1995).

6. The Kepler conjecture (Hales 2002).

7. The Taniyama-Shimura conjecture (Breuil et al. in 1999).

8. The honeycomb conjecture (Hales 1999).

11. The strong perfect graph theorem .

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- The calculus section will carry out differentiation as well as definite and indefinite integration.
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Various types of Math Problem Answers are solved here.

Selling price of the first pipe = $1.20

Let’s try to find the cost price of the first pipe

Selling price of the Second pipe = $1.20

Let’s try to find the cost price of the second pipe

Therefore, total cost price of the two pipes = $1.00 + $1.50 = $2.50

And total selling price of the two pipes = $1.20 + $1.20 = $2.40

Therefore, Mr. Jones loss 10 cents.

3. A recipe calls for 2 1/2 cups and I want to make 1 1/2 recipes. How many cups do I need?

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## 5 Simple Math Problems No One Can Solve

Easy to understand, supremely difficult to prove.

## Collatz Conjecture

## Moving Sofa Problem

## Perfect Cuboid Problem

## Inscribed Square Problem

## Happy Ending Problem

## .css-8psjmo:before{content:'//';display:inline;padding-right:0.3125rem;} Science .css-v6ym3h:before{content:'//';display:inline;padding-left:0.3125rem;}

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60 Scientists Are Trying to Block the Sun

A Human Family Still Walks on All Fours

Brain Organoids Are Alive, But Are They Conscious?

Why Human Bones Are Getting More Brittle

Your Computer Might Someday Have a Brain

## Get step-by-step solutions to your math problems

## Try Math Solver

## Get step-by-step explanations

## Graph your math problems

## Practice, practice, practice

## Get math help in your language

## Solving Problems With Math

## Problem Solving and Estimating

## Problem Solving Process

- Identify the question you’re trying to answer.
- Work backwards, identifying the information you will need and the relationships you will use to answer that question.
- Continue working backwards, creating a solution pathway.
- If you are missing necessary information, look it up or estimate it. If you have unnecessary information, ignore it.
- Solve the problem, following your solution pathway.

How many times does your heart beat in a year?

Suppose you count 80 beats in a minute. To convert this to beats per year:

How thick is a single sheet of paper? How much does it weigh?

The first two example questions in this set are examined in more detail here.

There are several possible solution pathways to answer this question. We will explore one.

View the following video for more about the zucchini muffin problem.

You need to replace the boards on your deck. About how much will the materials cost?

This will allow us to estimate the material cost for the whole 384 ft 2 deck

This example is worked through in the following video.

Is it worth buying a Hyundai Sonata hybrid instead the regular Hyundai Sonata?

We can then find the number of gallons each car would require for the year.

If gas in your area averages about $3.50 per gallon, we can use that to find the running cost:

#1. Click here to try this problem.

#2. Click here to try this problem.

#3. Click here to try this problem.

## Example: Sales Tax

The sales tax rate in a city is 9.3%. How much sales tax will you pay on a $140 purchase? Solution:

Click here to try another version of this problem:

## Example: Property Tax

We can compute the equivalent percentage: 3200/215000 = 0.01488, or about 1.49% effective rate.

Taxes are often referred to as progressive, regressive, or flat.

- A flat tax , or proportional tax, charges a constant percentage rate.
- A progressive tax increases the percent rate as the base amount increases.
- A regressive tax decreases the percent rate as the base amount increases.

## Example: Federal Income Tax

## Earning $10,000

What was Stephen’s effective tax rate?

The effective tax rate paid is 1075/10000 = 10.75%

## Example: Gasoline Tax

Click here to try other tax problems .

## Share This Book

## Famous Math Problems

## Open Conjectures

Find information about an unsolved math problem.

## Get information about a mathematical conjecture:

Learn about one of the smale problems:, ask a question about a conjecture:, solved problems.

Find information about a solved problem.

## Find out about a solved problem:

Learn about a mathematical paradox:, get historical information about a theorem:, related examples.

## IMAGES

## VIDEO

## COMMENTS

The six steps of problem solving involve problem definition, problem analysis, developing possible solutions, selecting a solution, implementing the solution and evaluating the outcome. Problem solving models are used to address issues that...

The answer to any math problem depends on upon the question being asked. In most math problems, one needs to determine a missing variable. For instance, if a problem reads as 2+3 = , one needs to figure out what the number after the equals ...

To calculate percentages, convert the percentage to a decimal and multiply it by the number in the problem. For example, to find 40 percent of 50, change it to 0.40 times 50, which gives you the result of 20.

There are many unsolved problems in mathematics. Several famous problems which have recently been solved include: 1. The Pólya conjecture (disproven by

QuickMath allows students to get instant solutions to all kinds of math problems, from algebra and equation solving right through to calculus and matrices.

A collection of mathematics problems with an answer and solution to each problem.

Is there a non-terminating game of beggar-my-neighbour? Sudoku: How many puzzles have exactly one solution? How many puzzles with exactly one solution are

Math Problem Answers · 1. Mrs. · 2. The value of x + x(xx) when x = 2 is: · 3. Mr. · 4. The distance light travels in one year is approximately 5,870,000,000,000

These Are the 10 Hardest Math Problems Ever Solved · The Poincaré Conjecture · Fermat's Last Theorem · The Classification of Finite Simple Groups.

5 Simple Math Problems No One Can Solve · Collatz Conjecture · Moving Sofa Problem · Perfect Cuboid Problem · Inscribed Square Problem · Happy Ending

Online math solver with free step by step solutions to algebra, calculus, and other math problems. Get help on the web or with our math app.

Sample Problems From Intermediate Algebra ; Problem 7 · Solving Absolute Value Equations ; Problem 8 · Solving Inequalities ; Problem 9 · Word Problem ; Problem 10

Problem Solving Process · Identify the question you're trying to answer. · Work backwards, identifying the information you will need and the relationships you

Solved Problems ; Find out about a solved problem: transcendence of pi · angle trisection · knapsack problem ; Learn about a mathematical paradox: Cantor's