A new coffee shop sold 504 cups of hot coffee and 604 cups of iced coffee during its first two days. The ratio of cups of hot coffee sold to cups of iced coffee sold on the first day was 5:3. On the second day the shop sold four times as many cups of iced coffee as the first day. The ratio of cups of hot coffee sold to cups of iced coffee sold on the second day was 7:12. How many cups of each type of coffee did the shop sell each day? A new coffee shop sold 504 cups of hot coffee and 604 cups of iced coffee during its first two days. The ratio of cups of hot coffee sold to cups of iced coffee sold on the first day was 5:3. On the second day the shop sold four times as many cups of iced coffee as the first day. The ratio of cups of hot coffee sold to cups of iced coffee sold on the second day was 7:12. How many cups of each type of coffee did the shop sell each day?

definitely a. the others have almost all data points on one side of the line.

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

i believe it's a.

i'm not sure on this one, most likely correct.