Alex and his 5 friends shared the cost of one season ticket for events at the sports complex. A seat for all games, events, concerts, and performances cost $900. There are 48 events. Alex only Attened 14 of them. Ben only Attened 6. Carle only attened 16. Donna only attened 4.Eathen only atteanded 3. and Felix only attende 5. how much did they each pay sepritlly.

y=mx+b

step-by-step explanation:

m slope

b y-intercept

the 3rd on is correct

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