Solve the problem.Mary lives on a corner lot. The neighborhood children have been cutting diagonally across her lawn instead of walking around the yard. If the diagonal distance across the lawn is  and the longer part of the sidewalk is twice the shorter length, how many feet are the children saving by cutting across the lawn? Round to the nearest foot if necessary.

A. 67 ft
B. 29 ft
C. 17 ft
D. 22 ft


Answer: C

Mathematics

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The speed S, in meters per second, of sound in the ocean depends on the depth D, in kilometers. (It depends on other quantities as well, but those will be ignored for this problem.)  The relationship is . At what depth is the speed of sound 1,604.04 meters per second? ?

A. 4.18 kilometers B. 5.24 kilometers C. 28,802.68 kilometers D. 4.12 kilometers

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Simplify.(7-2 × 2-4)-1

A.
B. 76 × 26
C. 72 × 24
D.

Mathematics

Use a vertical format to add the polynomials.4x 8 - 6x 7 + 4x 6 + 4

A. -5x8 - 5x7 + 12x6 + 3 B. 13x8 - 15x7 - 5x6 + 12 C. -7x42 + 12 D. 13x16 - 15x14 - 5x12 + 12

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Solve using Cramer's rule, if possible. If it is not possible, state whether the system is inconsistent or has infinitely many solutions.

A. (0, -6) B. Inconsistent C. Infinitely many solutions D. (1, -7)

Mathematics