Amanda is hosting a school play at Midtown High School. To buy a ticket, she charges $11 per child and $13 per adult. If there are a total of 214 tickets sold and she earns a
revenue of $2,592, how many adults and how many children attended the play?

119 adults, 95 kids

Step-by-step explanation:

11x+13y=2592

X+y=214

11x + 13(214-x) = 2592

11x + 2782 -13x = 2592

-2x = -190

X = 95

95 + y = 214

Y= 119

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !