Solve the problem.How many liters of 50%-alcohol solution must be mixed with 20 L of 80%-alcohol solution to get a solution that is 70% alcohol?

A. 3 L
B. 30 L
C. 1 L
D. 10 L


Answer: D

Mathematics

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Factor.64a3 - 27b3

A. (4a - 3b)(16a2 + 12ab + 9b2) B. (4a - 3b)(16a2 + 9b2) C. (4a + 3b2)(16a2 - 12ab + 9b2) D. (64a - 3b)(a2 + 12ab + 9b2)

Mathematics

Solve the problem.The minimum length L of a highway sag curve can be computed by L = ,where ?1 is the downhill grade in degrees (?1< 0°), ?2 is the uphill grade in degrees (?2> 0°), S is the safe stopping distance for a given speed limit, h is the height of the headlights, and ? is the alignment of the headlights in degrees. Compute L for a 55-mph speed limit, where   

alt="" style="vertical-align: -11.0px;" />  and   Round your answer to the nearest foot.

A. 601 ft
B. 634 ft
C. 651 ft
D. 617 ft

Mathematics

Graph the system of inequalities.2x + 3y ? 6  x - y ? 3  y ? 2

A.

B.

C.

D.

Mathematics

Perform the indicated operation. Assume that all variables are nonnegative.7 - 5 - 7

A. 354
B. 36
C. 7
D. -354

Mathematics