Solve the problem.How many liters of a 70% alcohol solution must be mixed with 60 liters of a 90% solution to get a 80% solution?

A. 6 liters
B. 120 liters
C. 60 liters
D. 12 liters


Answer: C

Mathematics

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Solve the problem.A simple harmonic motion is described by the equation  where x is the displacement in meters and t is time in seconds. Find positive values of t for which the displacement is .

A.  + 4n sec,  + 4n sec, n an integer
B.  + 4n sec,  + 4n sec, n an integer
C.  + 4n sec,  + 4n sec, n an integer
D.  + 4n sec,  + 4n sec, n an integer

Mathematics

Solve the problem.A trust account manager has $400,000 to be invested in three different accounts. The accounts pay 5%, 6%, and 10%, and the goal is to earn $32,000. Assuming that x dollars are invested at 5%, y dollars are invested at 6%, and z dollars are invested at 8%, what limits must there be on z so that all investment values are non-negative?

A. 200,000 ? z ? 240,000 B. 210,000 ? z ? 250,000 C. 150,000 ? z ? 180,000 D. 150,000 ? z ? 200,000

Mathematics

Graph y = f(x) and y = |f(x)| in the standard viewing rectangle. Determine the x-intercept for the graph of y = |f(x)|.y = -0.9x

A.

x-intercept is 0.
B.

x-intercept is 0.
C.

x-intercept is 0.
D.

x-intercept is 0.

Mathematics

Solve the application and write a sentence answering the question.What is the commission from the sale of $870 worth of books, if the commission rate is 4%?

A. The commission is $348.00. B. The commission is $43.50. C. The commission is $26.10. D. The commission is $34.80.

Mathematics