Solve the problem. Round answer to the nearest tenth, if appropriate.A rectangular garden has an area of 12 ft by 5 ft. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 138 ft2?

A. 5 ft
B. 10 ft
C. 4 ft
D. 3 ft


Answer: D

Mathematics

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Provide an appropriate response.Give the signs of the three trigonometric functions of the vector with the endpoint (-4, -7).

A. sine, negative; cosine, positive, tangent, negative B. sine, positive; cosine, positive, tangent, positive C. sine, negative; cosine, negative, tangent, positive D. sine, negative; cosine, negative, tangent, negative

Mathematics

Solve the problem.Ozone levels inside a building should not exceed 50 parts per billion (ppb). In a scientific study, an air filter was able to remove 44% of the ozone entering a building. Approximate the range of ozone concentrations in outside air that this filter will reduce to an acceptable level.

A. 71 ppb ? x ? 89 ppb B. x ? 89 ppb C. x ? 89 ppb D. x ? 107 ppb

Mathematics

Convert as indicated. If necessary, round to two decimal places.78 kilometers to miles

A. 23.4 mi B. 125.58 mi C. 48.36 mi D. 198.12 mi

Mathematics

Use two equations in two variables to solve the following problem.Two pairs of shoes and four pairs of socks cost $107, and three pairs of shoes and five pairs of socks cost $156. Find the cost of a pair of socks. 

A. $6.50 B. $5.50 C. $6.00 D. $4.50 E. $4.00

Mathematics