Answer:
<h2>8. D) 2x + 8</h2><h2>9. C) 6x + 32 = 158</h2><h2>10. 50 ft</h2>
Step-by-step explanation:
Look at the picture.
9. The perimeter of the rectangle l × w:
P = 2l + 2w
Substitute l = 2x + 8 and w = x + 8:
P = 2(2x + 8) + 2(x + 8) <em>use the distributive property</em>
P = (2)(2x) + (2)(8) + (2)(x) + (2)(8)
P = 4x + 16 + 2x + 16 <em>combine like terms</em>
P = (4x + 2x) + (16 + 16)
P = 6x + 32
10. Solve the equation:
6x + 32 = 158 <em>subtract 32 from both sides</em>
6x = 126 <em>divide both sides by 6</em>
x = 21
Put the value of x to the expression 2x + 8:
2(21) + 8 = 42 + 8 = 50
The X stands for ‘amount of cars washed’
If you was to wash 100 cars the equation would be
4 x 100 = 400
400-45= 355
Profit = $355
I mean the answer is 34 sorry for the mistake
This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.
Area of a rectangle:
The area of rectangle of length l and width w is given by:
w(2w + 3) = 9
From this, we get that:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots such that , given by the following formulas:
In this question:
Thus a quadratic equation with
Then
Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.
Another similar problem can be found at brainly.com/question/16995958