Write a system of equations to describe the problem situation. Use guess and check to solve the problem.

A boat travels 12 miles upstream to a fishing spot. The trip takes 1.2 hours. The return trip, downstream, takes 0.8 hour. Find the speed of the current, c.

A) c = 2.0 mph
B) c = 2.5 mph
C) c = 2.8 mph
D) c = 3.0 mph
E) c = 3.5 mph


B) c = 2.5 mph

Mathematics

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Solve the problem.The function A(x) = 1.06x -.02x3 gives the approximate alcohol level (in tenths of a percent) in a person's blood x hours after drinking about 8 ounces of 100-proof whiskey. What would the person's alcohol level be 2 hours after drinking? Give answer as a percent.

A. 0.196% B. 0.208% C. 1.96% D. 2.08%

Mathematics

Find the required value by setting up the general equation and then evaluating.Find f when p = 4 if f varies directly as the square root of p, and f = 8 when p = 16.

A. 4 B. 6 C. 1 D. 2

Mathematics

Use the inverse trig functions to express the angle in terms of the indicated unknown side. Express angle A in terms of c. Use one of the inverse trig functions tan-1, sin-1, or cos-1.

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

Mathematics

Use properties of logarithms to write the expression in terms of logarithms of x, y, z.log4   

A. 5 log4 x + 3 log4 y + log4 3 B. 5 log4 x - 3 log4 y - log4 3 C. (5 log4 x)(3 log4 y) - log4 3 D. 5 log4 x + 3 log4 y - log4 3

Mathematics