Questions tagged [problem-solving]

Use this tag when you want to determine the thinking that is needed to solve a certain type of problem, as opposed to looking for a specific answer to a question.

Use this tag when you want to determine the thinking that is needed to solve a certain type of problem, as opposed to looking for a specific answer to a question.

4495 questions
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What's the size of K in this figure?

What's the size of K in this figure? A and a are parallel B and b are parallel
user27994
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Non-convex quadrilateral and pentagon?

Is it possible to draw a non-convex quadrilateral/pentagon and an additional straight line such that the straight line cuts through the interior of each of the quadrilateral/pentagon's edges?
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A question about subspace and finding basis

guys help me I couldn't solve this question I've been working on subspaces for sometime but still cant do this kind of questions.
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Getting rid of product of sequence sign

I am having trouble with equation containing product of sequence: $$\frac {1}{2} = 1 - \frac {\prod \limits_{i=1} ^{n} (366 - i)}{365^n} $$ How can I convert the $\prod \limits_{i=1} ^{n} (366 - i)$ part of the equation so that I can solve the…
VOid
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200 ft race (with turnaround) where two people have different jump lengths but jump the same distance in equal time - who wins and by how much?

This problem is from Problem Solving Strategies - Crossing the River with Dogs and Other Mathematical Adventures by Ken Johnson and Ted Herr. I decided to draw a picture from the segment of $90$ ft to $100$ ft of the race (the wall where they turn…
Joe
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Can problem solving be axiomatized?

Is it possible to develop a set of axioms for solving any problem, that are certain to work? Similar to problem solving strategies or proof strategies, though a set of steps that work indefinitely if applied effectively? And I mean elementary proofs…
user199225
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Find caluclation to equal this value?

How can I find the calculation needed to reach the given value? This is related to programming but I don't see how I can do this myself. A = 1535683044 B = 1583000036 C = 155934150 What equation could be used with A and B to result in C? Edit: Is…
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Math Exercises, Highschool Student

I really want to improve my problem solving skills.. However I have found that most of the exercise books (lots of problems) are above my curent level (e.g. Olympiad and College) I am currently in Highschool and would like to know if there are any…
xAly
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Problem Solving Question - Can't eliminate possibilities based on clues given

The Problem: Ed, the eldest child of the Family family, met a new girl named Candy at the beginning of his senior year in high school. He really liked here, so he wanted her phone number. He knew the first three digits of the number were $492$…
Joe
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problem solving on work rate

please tell me this problem has insufficient data.. 5 men and 2 boys working together can do four times as much work as a man and a boy. working capacities of a woman and a boy are in the ratio ... a. 1:2 b. 1:3 c. 2:1 d. 3:1 the solution given…
user207112
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sides of a rectangle given a ratio and a surface

I am trying to find the sides of a rectangle given a ratio and a surface area. Here is where i am: Given the ratio formula where m:n height * (m / n) = width Given the surface is width * height = surface I get: height * (m / n) * height = surface 2…
Chris
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Systems of Modular Equations

Given the following systems of modular equations: $$ 4^{x}+x^{2}\equiv 1 (mod \: 6)$$ $$7x\equiv 3 (mod \: 9)$$ $$15x\equiv 10 (mod \: 25)$$ Which x solves the system ? It is possible to make use of Chinese remainder theorem, but what to do with…
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Number of complex solutions

Given the following equation: $$ x^{259}=1 $$ $$ x^{413}=1 $$ How many complex solutions for x have? Thanks
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Solve equation with two unknowns (maybe modulo)

Given the following equation: $$ x^{2} - y^{2}=17, \quad 0\neq x,y\in \mathbb N$$ I know for example that one solution is $x=9$, $y=8$, but I do not know how to get it.
Jimmy_J
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Simple probabilistic expression

For the following expression: $$ \prod_{i=0}^{n-1} \frac{2n-i}{3n-i} $$ I'm trying to get a simple expression, unsuccessfully. Many thanks, Jonathan