Evaluate the expression when P=2/3

3/4p - 2p

-5/6

Step-by-step explanation:

This is because we can substitute p for 2/3.

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

This shall equal:

6/12 - 4/3

In order to subtract, we need the same denominator meaning we need that three on 4/3 to be 12. So multiply 4/3 and 4/4

Equation shall be like this:

6/12 - 16/12

Now subtract keep the denominator the same!

-10/12

Simply/reduce (divide by 2/2)

-5/6!!

the answer is 1/4

step-by-step explanation:

(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