Question

Pls help on 15 show your work my teacher gets so mad ab it I have that written down what it looks like

I have a power triangle hopefully it can help

Answer 1

49 runners.

Explanation:

Hello! Let's help you there!

So, to start, it looks like you have the basis of what you're trying to accomplish and it seems like you're almost there too!

So you know that it's the percentage you need to figure out and divide by 100, it's the second numerator that you're trying to figure out. Since we don't necessarily know what the is/part of the equation, we can use a variable to be able to figure out what the is/part well, is.

When we set it up, it's as such:

`(28)/(100)=(x)/(175)`

We're going to be using the letter x, to represent the unknown number that we're trying to figure out.

In order to solve it, we first cross-multiply. We take the numerator of the first fraction and multiply it by the denominator of the second fraction and the exact same for the denominator of the first fraction and the numerator of the second fraction. So we get:

`28*175=100x`

Now we can evaluate
`28*175` and simplify that down to:

`28*175=4900`

Now it becomes:

`4900=100x`

In order to figure out our mystery value, we want to get rid of the 100 in front of the x. Since it is multiplied to x, we can divide it by 100 to get rid of the 100 in front of the x, but at the same time, we must divide it as well on the other side, so it becomes:

`(4900)/(100) =(100x)/(100)`

Now the answer becomes:

`49=x`

Therefore, our mystery value is 49 runners stopped to take a drink!