An access ramp needs to rise 24 inches. If the ramp is to have a slope ratio of 1:8, what horizontal distance is needed to build the ramp? Give the answer in feet.
A) 16 feet
B) 14 feet
C) 3 feet
D) 11 feet
E) 192 feet
A) 16 feet
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Solve the problem.Suppose the amount of a radioactive element remaining in a sample of 100 milligrams after x years can be described by A(x) = 100e-0.01322x. How much is remaining after 33 years? Round the answer to the nearest hundredth of a milligram.
A. 43.63 milligrams B. 64.64 milligrams C. 154.69 milligrams D. 0.65 milligrams
Translate the equation into a sentence by using the phrase "varies directly" or "varies inversely". x = 
A. x varies inversely as the square root of v. B. k varies inversely as the square root of v. C. x varies directly as the square root of v. D. x varies inversely as the square of v.
Solve the problem.An electrician charges a fee of $50 plus $35 per hour. Let f(x) be the cost, in dollars, of using the electrician for x hours. Find a formula for f(x).
A. f(x) = 35x + 50 B. f(x) = 50x + 35 C. f(x) = 50x - 35 D. f(x) = 35x - 50
Solve the system of equations using Gaussian elimination or Gauss-Jordan elimination.x - y + z = -3x + y + z = 3x + y - z = -5
A. (4, -4, 3) B. (-4, 3, 4) C. (-4, 4, 3) D. No solution