Kinsley's Auto Wash earns revenues of $13 per customer. In all, how many customers does Kinsley's Auto Wash need to serve in order to have a total of $39 in revenue?

x = 3

Step-by-step explanation:

ok, so in this case we need to create an equation, we can do this based on the info u were given,

-it mentions "per customer" since the amount of customers is unknown we will replace that with x, 13 per customer, 13 per x so that would be 13x and it should equal the total 39 so the equation would be

13x=39

next, we need to solve and get x alone

-start by doing the opposite and dividing 13 by everything

13/13=0 it crosses out

39/13=3

so in this case, x = 3

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240