Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Mr. McCarthy, the owner of two car dealerships in Bloomington, is holding a contest to see which one can sell the most cars. Bloomington Cars has already sold 6 cars, and McCarthy's
Autos has sold 2 cars. Going forward, the salespeople at Bloomington Cars think they can sell 5 cars per day, whereas the salespeople at McCarthy's Autos are aiming for sales of 9 cars per day. If the salespeople's predictions are accurate, it won't be long before the two dealerships are tied. How long will that take? How many cars will each lot have sold?
In days, the dealerships will each have sold ___ cars.

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step-by-step explanation:

(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

step-by-step explanation:

its 512 because parenthesis and to the 2nd power is 512 so it will be 512