A baker tops each specialty cupcake with a flower that he makes from buttercream frosting. He can make 56 flowers each hour. Suppose the baker made 392 flowers yesterday. How many hours did he spend making the flowers?

7 hours

Step-by-step explanation:

Since the baker can make 56 flowers each hour and the baker made 392 flowers yesterday.

The number of hours that he spend making the flowers will be calculated by dividing the number of flowers made by the flowers made each hour. This will be:

= 392 / 56

= 7.

The baker used 7 hours

(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