Solve.The amount of water used to take a shower varies directly as the amount of time that the shower is in use. A shower lasting 18 minutes requires 9 gallons of water. Find the amount of water used in a shower lasting 8 minutes.

A. 4.5 gallons
B. 144 gallons
C. 3.5 gallons
D. 4 gallons


Answer: D

Mathematics

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Solve the system of equations by Gaussian elimination. If there is an unlimited number of solutions, find two of them.x + 3y - 2z - w = 104x + y + z + 2w = 33-3x - y - 3z - 2w = -33 x - y - 3z -2w = -17

A. x = 3, y = 7, z = -2, w = 7 B. x = 4, y = 5, z = 2, w = 5 C. x = 10, y = 33, z = -33, w = -17 D. Inconsistent

Mathematics

Solve the problem.It is recommended that a woman who is pregnant should exercise such that her heart rate does not exceed 140 beats per minute. Use absolute value notation to write an expression that describes the difference between the heart rate achieved by each of the following pregnant women and the recommended maximum heart rate. Then evaluate that expression.(i) Abigail: 125 beats per minute(ii) Mathilda:  141 beats per minute

A. (i) Abigail:  = 15
(ii) Mathilda:  = 1
B. (i) Abigail:  = -15
(ii) Mathilda:  = -1
C. (i) Abigail: 125 - 140 = -15
(i) Mathilda: 141 - 140 = 1
D. (i) Abigail:  = 265
(ii) Mathilda:  = 281

Mathematics

Find the distance d(P1, P2) between the points P1 and P2.P1 = (4, 3); P2 = (-2, 11)

A. 10 B. 20 C. 11 D. 100

Mathematics

The graph of an exponential function is given. Match the graph to one of the following functions.

A. f(x) = 3x + 2 B. f(x) = 3x + 2 C. f(x) = 3x - 2 D. f(x) = 3x

Mathematics