The volume of a rectangular prism is 165 cubic inches. The length of the rectangular prism is 5 inches,

the width is x – 3, and the height is x + 5.

Find the value of x, and the dimensions of the rectangular prism.

Step-by-step explanation:

volume = base area x height

base area = rectangle

so volume = l x w x h

5 x (x-3) x (x+5)

5 x (x^2 + 2x - 15)

5x^2 + 10x - 75 = 165

x^2 + 10x - 240

x = -8

x = 6

taking x = 6 because dimensions cannot be negative

length = 5 inches

width = 3 inches

height = 11 inches

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )