5. which expression is equivalent to 4(1/3x - 1) - 3(2/5x - 3)?
a. 2/15x + 5 c. 2/15x - 13
b. 2/15x - 4 d. 2/15x - 10

A) 2/15x+5

Step-by-step explanation:

4(1/3x-1)-3(2/5x-3)

4/3x-4-6/5x+9

4/3x-6/5x-4+9

20/15x-18/15x+5

2/15x+5

46 dollars is the answer.

step-by-step explanation:

6*6 = 36,         36+10=46

(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