A group of parents is planning an end-of-year party for the eighth grade class at Ridgeway Middle School. The party will cost $450 for the room rental and entertainment, plus $25 per person
for food. The parents have budgeted $5000 for the C party. How many people can attend if the party
stays within budget?
A. They have to invite 182 people.
B. They can invite up to 182 people.
C. They can invite more than 182 people.
D. They can invite up to 200 people.
I

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is symmetric about the line y = 120,000.

step-by-step explanation:

answer: 193

explanation:

200-7 = 193

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