Solve the problem.A train ticket in a certain city is . People who use the train also have the option of purchasing a frequent rider pass for  each month. With the pass, each ticket costs only. Determine the number of times in a month the train must be used so that the total monthly cost without the pass is the same as the total monthly cost with the pass.

A. 21 times
B. 23 times
C. 24 times
D. 22 times


Answer: D

Mathematics

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Solve the problem.Find the magnitude of the torque in foot-pounds at point P for the following lever: = 9 in. and  = 30 lb

A. 20.39 ft-lb B. 270 ft-lb C. 16.48 ft-lb D. 9.51 ft-lb

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Rewrite the radical expression using rational exponents. Assume all variables represent nonnegative real numbers.7

A. (5x4y)9/7 B. (5x4y)7/9 C. (5xy)19 D. (5x4y)2

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Solve the inequality and give the solution in interval notation.x3 + 4x2 - 32x > 0

A. (-8, 0) ? (4, ?) B. (-4, 8) C. (-4, 0) ? (8, ?) D. (-8, 4)

Mathematics

Solve the problem.For what numbers ? is f(?) = cot ? not defined?

A. all real numbers
B. odd multiples of  (90°)
C. odd multiples of ? (180°)
D. integral multiples of ? (180°)

Mathematics