1) The expression representing how many more college hats were sold than professional hats is ![m+5](https://tex.z-dn.net/?f=m%2B5)
when
,
more college hats were sold
2) The equivalent expression to
is
. The explanation is found in the steps below
3) The length of one side of the square scrapbooking page will be
. The working is shown below.
1) According to the question,
is the number of months hats were sold.
is the number of college hats sold in
months
is the number of professional hats sold in
months
Since
when
the expression representing how many more college hats were sold than professional hats is
![(6m+3)-(5m-2)\\=6m+3-5m+2\\=m+5](https://tex.z-dn.net/?f=%286m%2B3%29-%285m-2%29%5C%5C%3D6m%2B3-5m%2B2%5C%5C%3Dm%2B5)
when the number of months hats were sold is
,
, and
![m+5=(10)+5=15hats](https://tex.z-dn.net/?f=m%2B5%3D%2810%29%2B5%3D15hats)
more college hats were sold in
months
2) To get the equivalent expression to
, carry out the steps below
remove brackets
![-12x+6-2x](https://tex.z-dn.net/?f=-12x%2B6-2x)
arrange like terms
![-12x-2x+6](https://tex.z-dn.net/?f=-12x-2x%2B6)
simplify like terms
![-14x+6](https://tex.z-dn.net/?f=-14x%2B6)
The answer is (D)
3) Let the length of one side of the square be ![s](https://tex.z-dn.net/?f=s)
The perimeter will be
![4s=8x+20](https://tex.z-dn.net/?f=4s%3D8x%2B20)
making
the subject of the formula
![\dfrac{4s}{4}=\dfrac{8x+20}{4}\\\\s=(2x+5)\text{ inches}](https://tex.z-dn.net/?f=%5Cdfrac%7B4s%7D%7B4%7D%3D%5Cdfrac%7B8x%2B20%7D%7B4%7D%5C%5C%5C%5Cs%3D%282x%2B5%29%5Ctext%7B%20inches%7D)
Learn more about word problems here: brainly.com/question/17067890