Solve for x using an equivalent exponential expression.Find the volume of a rectangular box 3 feet by 7.3 feet by 4 feet.
A. 48 cu ft
B. 213.16 cu ft
C. 65.7 cu ft
D. 87.6 cu ft
Answer: D
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A workshop of Peter's Potters makes vases and pitchers. Profit on a vase is $3, profit on a pitcher is $4. Each vase requires hour of labor, each pitcher requires 1 hour of labor. Each item requires 1 unit of time in the kiln. Labor is limited to 4 hours per day and kiln time is limited to 6 units per day. Initial and final tableaux are shown in finding the production plan that will maximize profits: (x = the number of vases and y = the number of pitchers made per day).
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(initial)(final)If labor were increased by one hour a day, the optimal production plan would require how many vases?
A. 3
B. 1
C. 4
D. 2
E. none of these
Write a system of equations for the problem, and then solve the system.At the beginning of a bicycle ride, Raul and Miguel are 90 miles apart. If they leave at the same time and ride in the same direction, Raul overtakes Miguel in 5 hours. If they ride toward each other, they pass each other in 2 hours. What are their speeds?
A. Raul: 32.5 mph; Miguel: 12.5 mph B. Raul: 31.5 mph; Miguel: 13.5 mph C. Raul: 13.5 mph; Miguel: 31.5 mph D. Raul: 32.5 mph; Miguel: 13.5 mph