83

Pumping alone at their respective constant rates, one inlet pipe fills an empty tank to $$\frac{1}{2}$$ of capacity in 3 hours and a second inlet pipe fills the same empty tank to $$\frac{2}{3}$$ of capacity in 6 hours. How many hours will it take both pipes, pumping simultaneously at their respective constant rates, to fill the empty tank to capacity?

84

In the xycoordinate plane, which of the following points must lie on the line kx + 3y = 6 for every possible value of k?

85

If $${x}^{2}{2}<{0}$$, which of the following specifies all the possible values of x ?

86

Shawana made a schedule for reading books during 4 weeks (28 days) of her summer vacation. She has checked out 12 books from the library. The number of pages in each book and the order in which she plans to read the books are shown in the table above. She will read exactly 50 pages each day. The only exception will be that she will never begin the next book on the same day that she finishes the previous one, and therefore on some days she may read fewer than 50 pages. At the end of the 28th day, how many books will Shawana have finished?

87

In Western Europe, x bicycles were sold in each of the years 1990 and 1993. The bicycle producers of Western Europe had a 42 percent share of this market in 1990 and a 33 percent share in 1993. Which of the following represents the decrease in the annual number of bicycles produced and sold in Western Europe from 1990 to 1993?

88

If k is a positive integer, what is the remainder when $$(k + 2)({k}^{3} – k)$$ is divided by 6 ?

89

Which of the following fractions is closest to $$\frac{1}{2}$$

90

If p $$\neq 0$$ and $$p  \frac{1p^{2}}{p} = \frac{r}{p}$$, then r =

91

If the range of the six numbers 4, 3, 14, 7, 10, and x is 12, what is the difference between the greatest possible value of x and least possible value of x ?

92

What number is 108 more than twothirds of itself?

92

A service provider charges c dollars for the first 50 hours of service used per month and 40 cents for each 30 minutes in excess of 50 hours used during the month.If x is an integer greater than 50,which of the following expressions gives this service provider's charge,in dollars,for a month in which x hours of service were used?

94

A salesperson who had been driving at a speed of 100 kilometers per hour slowed down to a speed of 47 kilometers per hour. Approximately how many miles per hour was the speed reduced?
(1kilometer≈0.625mile)

95

Company P had 15 percent more employees in December than it had in January. If Company P had 460 employees in December, how many employees did it have in January?

96

The table above shows the numbers of hours of television programs that Jane recorded last week and the numbers of hours she spent viewing these recorded programs.No recorded program was viewed more than once.If h is the number of hours of recorded programs she had not yet viewed by the end of Friday,which of the following intervals represents all of the possible values of h?

97

A dance troupe has a total of 50 dancers split into 2 groups. The costumes worn by Group A cost $80 each, and those worn by Group B cost $90 each. If the total cost of all the costumes is $4,270, what is the total cost of the costumes worn by Group B?

98

A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of body weight, by what percent was the prescribed dosage greater than the typical dosage?

99

The function f is defined by $${f}({x})=\sqrt x{10}$$ for all positive numbers x. If $$u = f(t)$$ for some positive numbers $$t$$ and $$u$$. What is t in terms of $$u$$?

100

If rectangle ABCD is inscribed in the circle above, what is the area of the circular region?

101

In quadrilateral ABCD above, what is the length of AB ?

102

Threefourths of the area of a rectangular lawn 30 feet wide by 40 feet long is to be enclosed by a rectangular fence. If the enclosure has full width and reduced length rather than full length and reduced width, how much less fence will be needed?
