Apples are $0.68 and peaches are $0.42.
To find these values, we need to write and solve the following system of equations.
6x + 9y = 7.86
4x + 5y = 4.82
Multiply the first equation by 2 and the second by -3.
12x + 18y = 15.72
-12x - 15y = 14.46
Add the equations together.
3y = 1.26
y = 0.42
Sub in 0.72 and solve for x in either equation and you will get x = 0.68.
Answer is choice B
The ratio of the sides (first to the second) is 11/9 since we divide 22/18 and reduce that fraction
Once we know the scale factor is 11/9, we square it to get (11/9)^2 = 121/81 which is the ratio of the first area to the second area
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:
Step-by-step explanation:
To find the diagonal, use Pythagorean theorem,
diagonal² = side² + side²
= (9√3)² + (9√3)²
= 9²(√3)² + 9²(√3)²
= 81*3 + 81*3
= 243 + 243
= 486
diagonal = √486 = 22.05 units
