At the movie theatre, child admission is $5.70 and adult admission is $9.50, 146 tickets were sold for a total sales of $1075.40. How many adult tickets were sold that day?

x = number of children tickets sold = 82 tickets

y = number of adult tickets sold = 64 tickets

Step-by-step explanation:

Let

x = number of children tickets sold

y = number of adult tickets sold

x + y = 146 (1)

5.70x + 9.50y = 1075.40 (2)

From (1)

x = 146 - y

Substitute x = 146 - y into (2)

5.70x + 9.50y = 1075.40 (2)

5.70(146 - y) + 9.50y = 1075.40

832.2 - 5.70y + 9.50y = 1075.40

- 5.70y + 9.50y = 1075.40 - 832.2

3.8y = 243.2

y = 243.2/3.8

y = 64

Substitute y = 64 into (1)

x + y = 146

x + 64 = 146

x = 146 - 64

x = 82

x = number of children tickets sold = 82 tickets

y = number of adult tickets sold = 64 tickets

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 !

yes

step-by-step explanation:

yes