Translate the problem to a system of equations, then solve using Cramer's Rule.Two different gasohol mixtures are available. One contains 5% alcohol and the other 12% alcohol. How much of each should be mixed to obtain 500 gallons of gasohol containing 10% alcohol?

A. 208 gal 5%, 292 gal 12%
B. 143 gal 5%, 357 gal 12%
C. 357 gal 5%, 357 gal 12%
D. 25 gal 5%, 60 gal 12%


Answer: B

Mathematics

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Write an equivalent fraction satisfying the stated condition.2; numerator = 8

A.
B.
C.
D.

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Perform the indicated operations. Express your answer in standard form.Cube x + 2.

A. x3 + 6x2 + 12x + 8 B. x3 + 8 C. 3x + 6 D. x3 + 6x2 + 6x + 8

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Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros.9i, 

A. f(x) = x4 + 156x2 + 243 B. f(x) = x4 - 78x2 - 243 C. f(x) = x4 - 156x2 + 243 D. f(x) = x4 + 78x2 - 243

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Use interval notation to express the inequality shown in the graph.

A. [2, 3] B. [2, 3) C. (2, 3) D. (2, 3]

Mathematics