Solve the problem.The difference between two positive integers is 54. One integer is three times as great as the other. Find the integers.

A. 27 and 81
B. 54 and 81
C. 27 and 54
D. 81 and 135


Answer: A

Mathematics

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Determine the value of the logarithm. Round to the nearest hundredth.log 3 0.87

A. -0.13 B. -1.24 C. -7.89 D. -0.15

Mathematics

Provide an appropriate response. The cost function for producing a new book is C(x) = 8.5x + 1200. The average cost for producing this book is A(x) = . If 150 books are produced, what is the average cost of producing this book?

A. $16.50 B. $12.50 C. $14.50 D. $18.50

Mathematics

The letters r and ? represent polar coordinates. Write the equation using rectangular coordinates (x, y).r = 1 + 2 sin ?

A. x2 + y2 =  + 2x
B. x2 + y2 =  + 2y
C.  = x2 + y2 + 2x
D.  = x2 + y2 + 2y

Mathematics

Solve using the elimination method. If the system has an infinite number of solutions, use set-builder notation to write the solution set. If the system has no solution, state this.x + y = 0x - y = 8

A. (-4, -3) B. (3, -3) C. (4, -4) D. No solution

Mathematics