Use a proportion to solve the problem.The ratio of the width to the length of a picture frame is 8 to 13. If the width of the frame is 9 inches, what is its length?

A. 5.5 inches
B. 22 inches
C. 17 inches
D. 14.625 inches


Answer: D

Mathematics

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Write the negation of the conditional. Use the fact that the negation of p ? q is p ? ~q.If she doesn't study, she won't pass her math test.

A. She studies and will pass her math test. B. She doesn't study and will pass her math test. C. She doesn't study and she won't pass her math test. D. If she doesn't study, she will pass her math test.

Mathematics

Solve the problem.A company determines that its cost (in dollars) of producing x machine parts is given by  and that its revenue (in dollars) for selling x machine parts is given by . Write a system of inequalities that would represent the profit region for producing x machine parts. Then graph the system. 

A. C ? 0.2x2 + 2
R ? 12x - 0.2x2

B. C ? 0.2x2 + 2
R ? 12x - 0.2x2

C. C ? 0.2x2 + 2
R ? 12x - 0.2x2

D. C ? 0.2x2 + 2
R ? 12x - 0.2x2

Mathematics

Find the unknown length in the space figure.Find the distance d. Give an exact answer.

A. 2
B. 6
C. 2
D. 6

Mathematics

Find all complex solutions for the equation. = 1 + 

A. {-12, 14} B. {12, -14} C. {-20, 14} D. ?

Mathematics