The local theater sells tickets to its plays at a rate of $38 each. patrons who attend multiple shows are encouraged to buy an annual membership for $80. members are able to buy tickets at a discounted rate of $20 each. roger expects to attend 6 shows this year. grace expects to attend 4 shows. who would benefit from buying a membership this year? neither grace nor roger only grace only roger both grace and roger

Roger will benefit

Step-by-step explanation:

38 times 4 = 152 without membership for Grace

38 times 6 = 228 without membership for Roger

20 times 4 = 80 + 80 = 160 (Grace cost with membership)

20 times 6 = 120 + 80 = 200 (Roger cost with membership)

152 - 160 = -8 ( Grace pays $8 more with the membership)

228 - 200 = 28 ( Roger saves $28 with a membership)

So Roger gets the better deal.

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi