Solve the problem.The Family Fine Arts Center charges $21 per adult and $12 per senior citizen for its performances. On a recent weekend evening when 422 people paid admission, the total receipts were $6045. How many who paid were senior citizens?

A. 313 senior citizens
B. 223 senior citizens
C. 109 senior citizens
D. 199 senior citizens


Answer: A

Mathematics

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Factor. If the polynomial is prime, so state.u2 - 16u + 63

A. (u + 7)(u - 9) B. (u - 7)(u - 9) C. (u - 7)(u + 9) D. (u + 7)(u + 9)

Mathematics

For the given polar equation, write an equivalent rectangular equation.r = 1 + 2 sin ?

A.  = x2 + y2 + 2y
B. x2 + y2 =  + 2x
C. x2 + y2 =  + 2y
D.  = x2 + y2 + 2x

Mathematics

How many common tangents do these circles have?

A. 1 B. 2 C. 3 D. 4

Mathematics

Provide an appropriate response.Let f(q) = -12q3 + 10q - 8 and g(q) = -6q3 + 3q + 10. Find (f + g)(q).

A. -6q + 7q - 18 B. -18q3  + 13q + 2 C. -33q3  - 13q - 2 D. -34q - 7q + 18

Mathematics