Complete the problem to represent the situation given by the equation 0.40e + 10 + 15 = 0.20e + 5 + 25. at one store a trophy costs $15, initial engraving set-up cost $0.40 , and engraving costs $0.20 per letter. at another store, the same trophy costs $25 , initial engraving set-up costs $5, and engraving costs $10 per letter. how many letters, e, must be engraved for the costs to be the same?

(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 don't see any

step-by-step explanation:

at least two

step-by-step explanation: