Ellen has $75 in her savings account. she deposits $25 every week. her father also deposits $35 into the account every time ellen mows the lawn. her savings account balance can be shown with the following expression: 75 + 25w + 35m part a: identify a coefficient, a variable, and a constant in this expression. (3 points) part b: if ellen saves for 8 weeks and mows the lawn 2 times, how much will she have in her account? show your work to receive full credit. (4 points) part c: if ellen had $95 in her savings account, would the coefficient, variable, or constant in the expression change? why?

(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