If a bus driver leaves her first stop by 7:00 a. M., her route will take less than 35 minutes. If she leaves after 7:00 a. M., she estimates that the same route will take no less than 43 minutes. Write an inequality which represents the time it takes to drive the route, r.

r < 35 or r ≥ 43

Step-by-step explanation:

We are told that when the bus driver leaves her first stop by 7:00 a.m., her route will take less than 35 minutes.

Since the time it takes to drive the route is r, then;

r < 35

Also, If she leaves after 7:00 a.M., she estimates that the same route will take no less than 43 minutes. Thus;

r ≥ 43

Thus;

r < 35 or r ≥ 43

sorry not sure

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