Course Hero The Pretty Pizza Company wants to open a new pizza place on either the north side of town or the south side of town. They want to open the pizza place where the ratio of pizza places per person is less than 0.01. The population of 15 blocks of the north side of town is 225 people per block, and there are already 36 pizza places in the area. The population of 22 blocks of the south area is 275 people per block, and there are 37 pizza places in the area. Where, if anywhere, should the Pretty Pizza Company open a new pizza place

The Pretty Pizza Company should open a new pizza place on the south area.

Step-by-step explanation:

The population of 15 blocks of the north side of town is 225 people per block, and there are already 36 pizza places in the area.

15*225 = 3375 people

36 pizza places

36/3375 = 0.0106 > 0.1

So not on the north side of the town.

The population of 22 blocks of the south area is 275 people per block, and there are 37 pizza places in the area.

22*275 = 6050 people

37 pizza places

37/6050 = 0.006 < 0.1

So, the Pretty Pizza Company should open a new pizza place on the south area.

8

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