Translate from English to an algebraic expression or equation, whichever is appropriate. Let the variable x represent the number.The product of  and a number, decreased by 9, is 4 more than the number.

A. x - 9 = x + 4
B. x + 9 = x + 4
C. x - 9 + x = 4
D. x - 9 = x - 4


Answer: A

Mathematics

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Find the sum. + 1 +  + . . . + 9

A.
B. 66
C.
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Find the length of the third side of the right triangle. Where appropriate, give both an exact answer and an approximation to three decimal places.

A.  ? 11.402
B.  = 56.0
C.  ? 2.828
D.  ? 10.583

Mathematics

Solve the problem.A summer camp wants to hire counselors and aides to fill its staffing needs at minimum cost. The average monthly salary of a counselor is $2400 and the average monthly salary of an aide is $1100. The camp can accommodate up to 45 staff members and needs at least 30 to run properly. They must have at least 10 aides, and may have up to 3 aides for every 2 counselors. How many counselors and how many aides should the camp hire to minimize cost?

A. 12 counselors and 18 aides B. 27 counselors and 18 aides C. 18 counselors and 12 aides D. 35 counselors and 10 aides

Mathematics

Write an algebraic equation and use it to solve the problem.A hot air balloon spent several minutes ascending. It then stayed at a level altitude for three times as long as it had ascended. It took 4 minutes less to descend than it did to ascend. The entire trip took one hour and 31 minutes. For how long was the balloon at a level altitude?

A. 15 minutes B. 34 minutes C. 19 minutes D. 57 minutes

Mathematics