Solve the problem.How many gallons of a 30% alcohol solution must be mixed with 60 gallons of a 14% solution to obtain a solution that is 20% alcohol?

A. 12 gal
B. 7 gal
C. 27 gal
D. 36 gal


Answer: D

Mathematics

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Perform the indicated operations and simplify the result. Leave the answer in factored form. ? 

A.
B.
C.
D.

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Provide an appropriate response.You are asked to change  to a mixed number. What should be your first step?

A. Multiply 25 and 24. B. Divide 24 by 25. C. Add 25 and 24. D. Divide 25 by 24.

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Find the equation of the hyperbola satisfying the given conditions.Vertices: (0, ±5); foci: (0, ±11)

A.  -  = 1
B.  -  = 1
C.  -  = 1
D.  -  = 1

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Give the largest interval where the function increases or decreases, as requested.f(x) = 5x2 + 2; increases

A. (0, ?)
B.
C.
D. (-?, 0)

Mathematics