Shane and Abha earned a team badge that required their team to collect no less than 2000

20002000 cans for recycling. Abha collected

178

178178 more cans than Shane did.

Write an inequality to determine the number of cans,

S

SS, that Shane could have collected.

What is the solution set of the inequality?

S

SS

>/≥/≤

your answer is d 2,500

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

5: 20

step-by-step explanation:

the solution, from the graphing of the two lines, is (3,2), i.e., x = 3, y = 2.