For the carpet:
Given:
Area = x^2 + x - 20 ft^2
Length = x+ 5 ft
As a carpet is rectangular, the area is defined as the product of the length and the width. To obtain an expression of the carpet's width, the area is to be divided by the length, which is shown below:
__x_-_4___x + 5|x^2 + x - 20 x^2 + 5x -------- -4x - 20 -4x - 20 -------- 0
Therefore, the expression of width = x - 4.
Applying the value of x = 20 to obtain the measurements of the carpet, we obtain the following:
Width = x - 4 = 20 - 4 = 16ft
Length = x+ 5 = 20 + 5 = 25ft.
Therefore, the carpet is 25ft x 16ft.
For the wall:
The same principles apply to the wall as it is also assumed to be rectangular.
Given:
Area = <span>x^2 + 17x + 30 ft^2
Width = x + 2
To obtain the expression for the wall's length, Area is to be divided by the Width, which is shown below:
__x_+_15______x + 2|x^2 + 17x + 30 x^2 + 2x -------- 15x + 30 15x + 30 --------- 0
Therefore, the expression for the wall's length is x + 15.
Applying the value of x = 20 to obtain the wall's dimensions:
Length = x + 15 = 20 + 15 = 35ft.
Width = x + 2 = 20 + 2 = 22ft.
Therefore the wall has measurements of 35ft x 22ft.</span>
Answer:
32
Step-by-step explanation:
72 + 76 = 148
180 - 148 = 32
I hope this helps!!
Answer: Charles bought a used car and later sold it for a 20% profit. If he sold it for $4680, how much did Charles pay for the car?
---------------------------
Let the price he paid equal "x".
EQUATION:
x + 0.20x = 4680
1.2x = 4680
x = $3900 (price he paid for the car.
Answer:
or 
(they're the same)
Step-by-step explanation:
First Part:
- Multiply them together: 64 × 64 × 2 = 8192
Second Part:
- Multiply them together: 128 × 256 = 32768
Wrap it all up:
- 8192 ÷ 32768 = 0.25 = 1/4
I hope this helps!
Answer: 
proportion of candies are green.
Solution:
In bag A, 
candies are yellow.
this proportion shows ratio of favorable over total candies.
Here numerator number is 2.
So, Total number of yellow candies should be 2x
Total number of candies in Bag A would be 3x
Number of green candies in bag A = 3x-2x = x
Now we find the portion of green candies in bag A
portion of candies are green in bag A
