During basketball season, juanita made 2 out of every 3 free throws she attempted. in the last ballgame, juanita attempted 12 free throws. how many would she have been expected to make?

8

Step-by-step explanation:

2/3 = x/12

First I set up my equation and I looked at my denominators which are 3 and 12. I multiplied 3 times 4 to get 12. Then I took my 2 in the numerator and multiplied it by 4 also and came up with 8.  Whatever I do the the denominator I must  do the same thing to the numerator.

answer: i don't understand. what are the options

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