What is the rate of change? Explain what it means. A group of children go see a movie. Tickets are $8 each and they split a large popcorn. They spend a total of $34.50.
Please please please explain how you got the answer.

Movie tickets cost $5 for children, $8 for adults and $4 for seniors.

The theater earned $1890 in a day. Five times as many adults attended as seniors.

Twice as many children attended as seniors.

Set up and solve a system of equations, to find how many of each type of ticket was sold.

"The theater earned $1890 in a day."

5c + 8a + 4s = 1890

"Five times as many adults attended as seniors."

a = 5s

Twice as many children attended as seniors."

c = 2s

5c + 8a + 4s = 1890

replace c with 2s; replace a with 5s

5(2s) + 8(5s) + 4s = 1890

10s + 40s + 4s = 1890

54s = 1890

s = 1890/54

s = 35 Seniors

then

a = 5(35)

a = 175 adults

and

c = 2(35)

c = 70 children

Step-by-step explanation:

Check solution

70(5) + 175(8) + 35(4) =

350 + 1400 + 140 = 1890; confirms our solutions

answer, 1890

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: