Solve.The perimeter of a school's rectangular field is 666 feet. The length of the field is twice the width. The principal decides to cut down some trees and increase the length of the field by 70 feet and the width by 20 feet. How much larger will the area of the new field be compared to the area of the old field?
A. 24,642 square feet
B. 13,610 square feet
C. 38,252 square feet
D. 846 square feet
Answer: B
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Solve the problem.Three trains - one eastbound, one westbound, and one northbound - leave a city at the same time. The speed of the northbound train is 10 miles per hour greater than the speed of the eastbound train. After 8 hours, the distance between the westbound train and the eastbound train is 560 miles. Twice the speed of the westbound train is 40 miles per hour more than the speed of the northbound train. Find the speeds of the three trains.
A. eastbound, 30 mph; westbound, 40 mph; northbound, 40 mph B. eastbound, 20 mph; westbound, 50 mph; northbound, 40 mph C. eastbound, 40 mph; westbound, 40 mph; northbound, 30 mph D. eastbound, 40 mph; westbound, 40 mph; northbound, 50 mph
Find an equation of the line satisfying the following conditions. If possible, write the equation in slope-intercept form. Horizontal, passing through (5, 6)
A. y = -5 B. y = 6 C. x = -6 D. x = 5
Find a rational function that satisfies the given conditions. Answers may vary, but try to give the simplest answer possible.Vertical asymptotes x = -1, x = 6
A. f(x) =
B. f(x) =
C. f(x) =
D. f(x) =
Solve the problem.Yearly sales at a certain department store follow the model where y is the total sales in thousands of dollars and x is the number of years after 1992. In what year will the sales first be less than
A. 1994 B. 1991 C. 1990 D. 1995