The correct statement is D.
Step-by-step explanation:
Given,
For backyard
Length = 5x-2
Width = 2x+4
For house
Length = 5x-2
Width = 4x-12
For driveway
Length = x+10
Width = 4x-12
To find the correct statement.
Formula
The area of a rectangle = Length × Width
So,
The area of the house and the driveway = (5x-2)(4x-12) + (x+10)(4x-12)
= (4x-12)(5x-2+x+10)
= (4x-12)(6x+8)
=
= 
So, the correct statement is D
You can cross check the other statements.
Answer:
A) $40
B) 40M = P
C) $3,120
Step-by-step explanation:
Given that at her salon, last week Tammy did 25 manicures and collected $ 1000, to calculate the slope to represent the manicures, write an equation to represent this relation and determine how much would Tammy make if she did 78 manicures in a month the following calculations should be performed:
A)
1000/25 = X
40 = X
Thus, each manicure costs $ 40.
B)
40M = P
C)
78 x 40 = X
3.120 = X
So if she did 78 manicures in a month, Tammy would earn $ 3,120.
Answer: 37 kilograms of walnuts should be mixed.
Step-by-step explanation:
Let x represent the number of kilograms of peanuts needed to make the mixture.
Let y represent the number of kilograms of walnut needed to make the mixture.
The mixture to be made is 100 kg. It means that
x + y = 100
The worth of the mixture is $3.24 per kilogram. It means that the total worth of the mixture is
3.24 × 100 = $324
peanuts cost $2.50 per kilogram and walnuts cost $4.50 per kilogram. It means that
2.5x + 4.5y = 324- - - - - - - - - -1
Substituting x = 100 - y into equation 1, it becomes
2.5(100 - y) + 4.5y = 324
250 - 2.5y + 4.5y = 324
- 2.5y + 4.5y = 324 - 250
2y = 74
y = 74/2 = 37
x = 100 - y = 100 - 37
x = 63
