Carly is going shopping to buy cookies. She plans to buy 10 chocolate chip cookies c dollars each, 12 peanut butter cookies at p dollars each, and 8 oatmeal raisin cookies r dollars each. White an algebraic expression to represent the total cost in dollars of these cookies carly will buy.

Step-by-step explanation:

Let c represent the cost of one chocolate chip cookie that she wants to buy.

Let p represent the cost of one peanut butter cookie that she wants to buy.

Let r represent the cost of one oatmeal raisin cookie that she wants to buy.

She plans to buy 10 chocolate chip cookies, 12 peanut butter cookies, and 8 oatmeal raisin cookies. Therefore, the algebraic expression used to represent the total cost in dollars of these cookies Carly will buy is

10c + 12p + 8r

(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