Solve the problem.The Family Fine Arts Center charges $25 per adult and $12 per senior citizen for its performances. On a recent weekend evening when 567 people paid admission, the total receipts were $9079. How many who paid were senior citizens?

A. 265 senior citizens
B. 175 senior citizens
C. 302 senior citizens
D. 392 senior citizens


Answer: D

Mathematics

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Determine whether the expression is a polynomial.8x - 5

A. Polynomial B. Not a polynomial

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Fill in the blank with the correct inequality symbol.If x > -4, then 3x  -12.

A. > B. ? C. < D. ?

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For the given quadratic equation, determine whether the parabola opens up or down, find the vertex of the parabola, and find the axis of symmetry.y = -x2 - 7x + 4

A. down; ; x = - 
B. down; ; x = 
C. down; ; x = - 
D. down; ; x = 

Mathematics

Find the minimum value of the objective function and where it occurs, subject to the constraints: ? Objective function: ? z = 4x + y ? Constraints: ?           x ? 0           y ? 0   3x + y ? 15 4x + 3y ? 30 ?

A. Minimum at (3, 0): 12 B. Minimum at (0, 6): 28 C. Minimum at (3, 6): 18 D. Minimum at (0, 0): 0 E. Minimum at (6, 3): 27

Mathematics