Solve the problem.How many liters of a 20% alcohol solution must be mixed with 60 liters of a 90% solution to get a 70% solution?

A. 84 L
B. 8.4 L
C. 24 L
D. 2.4 L


Answer: C

Mathematics

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Find an equation for the circle.Center at (5, -7), radius of length 

A. (x - 5)2 + (y + 7)2 = 
B. (x + 5)2 - (y + 7)2 = 25
C. (x + 5)2 + (y - 7)2 = 
D. (x - 5)2 + (y - 7)2 = 

Mathematics

Find all solutions.x3 - 7x2 + 12x = 0

A. {0, -3, -4} B. {0, 3, 4} C. {-3, -4} D. {3, 4}

Mathematics

For the pair of functions, find the indicated sum, difference, product, or quotient.f(x) = 4x - 2, g(x) = 2x2 + 14x + 3Find (f/g)(-5).

A.  
B.  
C. -  
D. - 

Mathematics

Solve the problem.The concentration of alcohol in a person's blood is measurable. Suppose that the risk R (given as a percent) of having an accident while driving a car can be modeled by the equation R = 5ekxwhere x is the variable concentration of alcohol in the blood and k is a constant.Suppose that a concentration of alcohol in the blood of 0.07 results in a 10% risk  of an accident. Find the constant k in the equation.Using this value of k, what is the risk if the concentration is 0.11?

What will be an ideal response?

Mathematics