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
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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)
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
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Round your answer to the nearest foot.
A. 601 ft
B. 634 ft
C. 651 ft
D. 617 ft
Graph the system of inequalities.2x + 3y ? 6 x - y ? 3 y ? 2
A.
B.
C.
D.
Perform the indicated operation. Assume that all variables are nonnegative.7 - 5
- 7
A. 354
B. 36
C. 7
D. -354