Write an algebraic equation and use it to solve the problem.A hot air balloon spent several minutes ascending. It then stayed at a level altitude for three times as long as it had ascended. It took 4 minutes less to descend than it did to ascend. The entire trip took one hour and 31 minutes. For how long was the balloon at a level altitude?
A. 15 minutes
B. 34 minutes
C. 19 minutes
D. 57 minutes
Answer: D
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Solve the problem.Rachel's bus leaves at 1:15 PM and accelerates at the rate of 3 meters per second per second. Rachel, who can run 8 meters per second, arrives at the bus station 5 seconds after the bus has left. Find parametric equations that describe the motions of the bus and Rachel as a function of time, and simulate the motion of the bus and Rachel by simultaneously graphing these equations.
A. Bus: x1 = 
t2, y1 = 2;
Rachel: x2 = 8(t - 5), y2 = 4
B. Bus: x1 = 3t2, y1 = 2;
Rachel: x2 = 8(t - 5), y2 = 4
C. Bus: x1 = 
t2, y1 = 2;
Rachel: x2 = 8(t + 5), y2 = 4
D. Bus: x1 = 3t2, y1 = 2;
Rachel: x2 = 8(t - 5), y2 = 4
A box with an open top is to be constructed from a rectangular piece of card board with dimensions b = 4 in. by a = 28 in. by cutting out equal squares of side x at each corner and then folding up the sides as in the figure.
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Determine whether the pair of lines is parallel, perpendicular, or neither.12x + 4y = 16 6x + 2y = 10
A. Parallel B. Perpendicular C. Neither
Perform the indicated operation.5.859 - 5.397
A. 0.562 B. 0.462 C. 10.256 D. 11.256