Solve using a system of linear equations in three variables.The Family Arts Center charges $23 for adults, $18 for senior citizens, and $5 for children under 12 for their live performances on Sunday afternoon. This past Sunday, the paid revenue was
for 738 tickets sold. There were 48 more children than adults. How many children attended?
A. 219 children
B. 257 children
C. 252 children
D. 393 children
Answer: D
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Provide an appropriate response.The proceeds from an event depend on the number of people who attend.(a)Write a function p(n) for the proceeds if each ticket costs $8.00 and the number of tickets sold is n.(b)What is the domain of this function out of context?(c)What is the domain of this function in the given context?(d)Find p(c), p(c + 5), and p(c + 25).(e)What happens to the proceeds when the number who attend increases by a constant m? Describe using an equation.
What will be an ideal response?
Find the exact value of the trigonometric expression without the use of a calculator.If sin ? = , 0 < ? <
and cos ? =
, 0 < ? <
, find the exact value of cos (? + ?).
A.
B. -
C. -
D.
Divide. Simplify, if possible.5 ÷
A. -1
B. -1
C. -1
D. -2
Polar coordinates of a point are given. Find the rectangular coordinates of the point.
A. (-4, -0.7) B. (0.7, 4) C. (4, 0.7) D. (-0.7, -4)