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