Answer:
The dimension of the rectangular closet before construction = (x + 5) ft by (x + 4) ft
Step-by-step explanation:
The homeowner has a rectangular closet and the area of the closet is (x² + 9x + 20) ft². The area of a rectangle is the length multiplied by the width. The length is given as (x + 5) ft. After construction the area change to (x² + 14x + 48) ft². The length became (x + 6) ft.
The dimensions before construction can be calculated as follows:
Mathematically,
area of rectangle = Length × width
area = (x² + 9x + 20) ft².
Length = (x + 5) ft
Width = unknown
area = LW
(x² + 9x + 20) = (x + 5) W
W = (x² + 9x + 20) / x + 5
W = (x + 4) ft
The dimension of the rectangular closet before construction = (x + 5) ft by (x + 4) ft
It is 100 times bigger because if you divide 0.1 and 0.001 you will get 100.
Juli will need 1.875 pounds of cheese. 1.9 if rounding up.
There are 16 ounces in a pound.
20/8=2.5
2.5*12=30
30/16=1.875
Hope this helps.
Answer:
Fraction is 
Step-by-step explanation:
Let x be the number of Matt's pen
and y be the number of Sarah's pen
4/5 of Sarah's pen (y) = 1/3 of Matt's pen (x)
So equation becomes
Solve for y
Multiply both sides by 5/4
Total number of Matt's and Sarah's pen = x+y
Total number of pens = 
Take LCD 12
Now add the numerators
To express the number of Matts pens as a fraction
We divide the number of Matt's pen 'x' by the total number of pens
we cancel out x at the top and bottom
Take reciprocal of 17/12 and multiply with top 1
So answer is 12/ 17
