Mathematics Stack Exchange
Mathematics Stack Exchange

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
0
votes
2 answers

Number of unique Team parings given 10 players and 2 teams

I yammer a wee bit too much, feel free to skip to TLDR unless you want more background as to why I care about this problem. I was just thinking that it would be a fun to figure out the best 5 players in a team of 10 as this tournament only allows…
Michael Crook
  • 115
0
votes
1 answer

Problem with an equation.

I have this equation: v*t-(u*g*t^2)/2 = d And I'm having trouble solving it for t. Mathematica gave me two results, t -> (v+-Sqrt[-2 d g u+v^2])/(g u) Have no idea how it got it. I did manage to get to t = (d+0.5u*g*t)/v or t^2 = (v*t-d)/(0.5u*) Any…
Mark Segal
  • 191
-1
votes
2 answers

What are the ages?

A man taking the census walks up to the apartment of a mathematician and asks him if he has any children and how old they are. The mathematician says: "${\it\mbox{I have three daughters and the product of their ages is 72}}$". The man tells…
Shaina
  • 1
-1
votes
1 answer

How to solve this equation $8 \left(3^x+5^x+7^x\right)=5\cdot 2^x+2\cdot 4^x+17\cdot 6^x$?

I use Mathematica to solve this equation $$8 \left(3^x+5^x+7^x\right)=5\cdot 2^x+2\cdot 4^x+17\cdot 6^x$$ and get three solutions $x=0\lor x=1\lor x=2.$ I don't know how to solve by hand. How can I solve it?
John Paul Peter
  • 217
-1
votes
2 answers

Solving an equation with quadratic and ratio constraints

I'm struggling with a problem that involves finding all real numbers $p$ that satisfy certain conditions related to a quadratic equation. The equation is as follows: $$p x^2+\left(1+p^2\right) x+p=0$$ The problem asks me to find all values of $p$…
MASF
  • 47
-1
votes
1 answer

Whats the smallest possible value off p and q?

The question is taken from a problem-solving test: Both p and q are positive integers. What's the smallest possible value of the numbers such that: $\frac{p}{q}=0,126126\overline{126}$ I don't really know how to proceed with such a question without…
Stephen21212
  • 41
-1
votes
2 answers

Finding a formula for function f

I need to find a formula for $f(x)$. The only information about $f$ is: $\forall x \in {\rm I\!R}, f(\frac{69x}{1+x}) = x^2$ I am clueless about this one. Thank you for your help!
Billy75
  • 13
-1
votes
1 answer

Ordered of pairs 2 sets

Suppose there are two sets, A={a,b,c} and B={x,y} All ordered pairs in form of (element of A, element of B) All ordered pairs in form of (element of B, element of A)
Grace Hey
  • 77
-1
votes
2 answers

What is the difference between 10 m/s and 10 m/s-1

So i'm struggling to understand what the difference is between 10m/s and 10m/s–1 .The question was a runner runs 100m in 10 seconds what is their velocity.Does putting a -1 after m/s change anything or is that the proper formant.
MathsRookie09
  • 11
-1
votes
4 answers

$x\cdot y = \sqrt2$. What can be said about $x$ and $y$

Given, $x,y\in\Bbb R$ and $x\cdot y=\sqrt{2}$ .Can $x$ and $y$ be taken as $\sqrt[4]{2}$?
vivek
  • 1
-1
votes
1 answer

Finding an interval for rational numbers with a high denominator

I came across a Tricki article with the above title, but it was a stub that didn't say how to do that particular trick. I've run into this issue a few times before (can't put my finger on which contexts at the moment), and I was wondering how you do…
Alok Singh
  • 150
-1
votes
1 answer

Commercial Mathematics. A question on payment.

Please help me out with this problem. Charlie buys a car for \$120,000. He pays half of the amount in cash and agrees to pay the balance in 12 annual instalments of \$5000 each. If the rate of interest is 12% and he pays with the instalment the…
user53167
-1
votes
1 answer

numerical math problem

How to divide Rs.10,000 to four persons proportionately? ( let's say A invested Rs 3,200 B Rs 5,700 C Rs 8400 and D Rs 9,900 respectively.
Sudip
  • 9
-1
votes
1 answer

solving equation using square root

I have a question here... Usually, for $x^2 = 4$ $x=\sqrt{4}$ $x=±2$ But if the question is like this : $y^2 = (x+2)(x+2)$ $y^2 = (x+2)^2$ If I want to find $y$ in term of $x$,I will put square root on both sides. y = ±(x+2) So I'm wondering about…
user30356
  • 13
-1
votes
2 answers

Find the solution without "common sense" assumption

Is it possible to solve the following problem without make a "common sense" assumption? In the year 1887, one person's age was exactly the sum of the digits of his birth's year. What was the person's age? Just to be more clear: With common sense I…
panadestein
  • 103
1 2 3
…
28 29