Solve.A cyclist biked uphill 3 mi at a speed r mph and then returned (downhill) at three times the speed. How long did the whole trip take? Write the answer as a single rational expression.

A.  hr
B.  hr
C.  hr
D.  hr


Answer: D

Mathematics

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For the given function, find the rate of change.y = 700 - 6x

A. 5 B. 700 C. -6 D. 6

Mathematics

Solve.The sum of the areas of two square plots of land is 2122 m2 and the difference of their areas is 1240 m2. Find a length of a side of each plot.

A. 22 m, 62 m B. 40 m ,20 m C. 5.25 m, 41 m D. 41 m, 21 m

Mathematics

Approximate the area of the circle using 3.14 for ?.

A. 50.24 ft.2 B. 24.12 ft.2 C. 12.56 ft.2 D. 25.12 ft.2

Mathematics

Solve the problem. A reasonable quadratic model for the population of a certain city is found to be    where P(t) is the population (in thousands) of the city in the year that is t years since 2012. A reasonable quadratic model for the consumption of bottled water in the city is  , where B(t) is the total amount of bottled water (in thousands of gallons) consumed by the residents of the city in the year that is t years since 2012. Let M(t) be the annual mean consumption of bottled water per person in the year that is t years since 2012. If M(t) is obtained by

finding the ratio , what are the units of M?

A. people per gallon
B. gallons per thousand people
C. gallons per person
D. thousands of gallons per person

Mathematics