Answer:
B. (5x+5)/(x²-2x)
Step-by-step explanation:
As with numerical fractions, division by a rational expression is equivalent to multiplication by its reciprocal.
<h3>As a multiplication problem</h3>
![\dfrac{5}{x-2}\div\dfrac{x}{x+1}=\dfrac{5}{x-2}\times\dfrac{x+1}{x}](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7Bx-2%7D%5Cdiv%5Cdfrac%7Bx%7D%7Bx%2B1%7D%3D%5Cdfrac%7B5%7D%7Bx-2%7D%5Ctimes%5Cdfrac%7Bx%2B1%7D%7Bx%7D)
<h3>Product of rational expressions</h3>
As with numerical fractions, the product is the product of numerators, divided by the product of denominators.
![=\dfrac{5(x+1)}{x(x-2)}=\boxed{\dfrac{5x+5}{x^2-2x}}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B5%28x%2B1%29%7D%7Bx%28x-2%29%7D%3D%5Cboxed%7B%5Cdfrac%7B5x%2B5%7D%7Bx%5E2-2x%7D%7D)
Answer:
60
Step-by-step explanation:
We use unit rate function,
Let h be hours
Let b be baskets
2.5h = 150b
We divide both sides by 2.5
2.5h/2.5 = 150b/2.5
Which will give us
h = 60
First, we have to figure out how much cheese we have total. Do this by adding up all of the various cheeses.
![\frac{2}{3} + \frac{4}{3} + \frac{5}{4} \\ \frac{6}{3} + 1 + \frac{1}{4} \\ 3 \frac{1}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D%20%20%2B%20%20%5Cfrac%7B4%7D%7B3%7D%20%20%2B%20%20%5Cfrac%7B5%7D%7B4%7D%20%5C%5C%20%20%5Cfrac%7B6%7D%7B3%7D%20%20%2B%201%20%2B%20%20%5Cfrac%7B1%7D%7B4%7D%20%20%5C%5C%203%20%5Cfrac%7B1%7D%7B4%7D%20)
Now to split the cheeses into sections of 1/4 pound each, we have to divide by 1/4, which is the same as multipling by 4
![3 \frac{1}{4} \times 4 = 12 + 1 = 13](https://tex.z-dn.net/?f=3%20%5Cfrac%7B1%7D%7B4%7D%20%20%5Ctimes%204%20%3D%2012%20%2B%201%20%3D%2013)
13 slices total
3 and 4 because girls might like the school while boys don't and because men might hate the towel but women might love it.