OG19 OG20 OG2022
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In a certain fraction, the denominator is 16 greater than the numerator. If the fraction is equivalent to 80 percent, what is the denominator of the fraction?
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OG19 OG20 OG2022
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Greg assembles units of a certain product at a factory . Each day he is paid $2.00 per unit for the first 40 units that he assembles and $2.50 for each additional unit that he assembles that day ,if Greg assembled at least 30 units on each of two days and was paid a total of $180.00 for assembling units on the two days, what is the greatest possible number of units that he could have assembled on one of the two days ?
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OG18 OG19 OG20 OG2022
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Which of the following is greatest?
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OG18 OG19 OG20 OG2022
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Al and Ben are drivers for SD Trucking Company. One snowy day, Ben left SD at 8:00 a.m. heading east and Al left SD at 11:00 a.m. heading west. At a particular time later that day, the dispatcher retrieved data from SD`s vehicle tracking system. The data showed that, up to that time, Al had averaged 40 miles per hour and Ben had averaged 20 miles per hour. It also showed that Al and Ben had driven a combined total of 240 miles. At what time did the dispatcher retrieve data from the vehicle tracking system?
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OG16 OG17 OG18 OG19 OG20 OG2022
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Of the land owned by a farmer, 90 percent was cleared for planting. Of the cleared land, 40 percent was planted with soybeans and 50 percent of the cleared land was planted with wheat. If the remaining 720 acres of cleared land was planted with corn, how many acres did the farmer own?
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OG16 OG17 OG18 OG19 OG20 OG2022
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At the start of an experiment, a certain population consisted of 3 animals. At the end of each month after the start of the experiment, the population size was double its size at the beginning of that month. Which of the following represents the population size at the end of 10 months?
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OG19 OG20 OG2022
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If($$\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6})=r(\frac{1}{9}+\frac{1}{12}+\frac{1}{15}+\frac{1}{18}$$) ,then r=
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OG17 OG18 OG19 OG20 OG2022
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If x and y are positive integers such that y is a multiple of 5 and 3x + 4y = 200,then x must be a multiple of which of the following?
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OG16 OG17 OG18 OG19 OG20 OG2022
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Which of the following expressions can be written as an integer?(1) $$(\sqrt{82}+\sqrt{82})^{2}$$(2) $$({82})(\sqrt{82})$$(3) $$\frac{(\sqrt{82})(\sqrt{82})}{82}$$
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OG16 OG17 OG18 OG19 OG20 OG2022
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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?
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OG16 OG17 OG18 OG19 OG20 OG2022
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In the xy-coordinate plane, which of the following points must lie on the line kx + 3y = 6 for every possible value of k?
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OG16 OG17 OG18 OG19 OG20 OG2022
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If $${x}^{2}-{2}<{0}$$, which of the following specifies all the possible values of x ?
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OG18 OG19 OG20 OG2022
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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?
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OG17 OG18 OG19 OG20 OG2022
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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?
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OG18 OG19 OG20 OG2022
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If k is a positive integer, what is the remainder when $$(k + 2)({k}^{3} – k)$$ is divided by 6 ?
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OG19 OG20 OG2022
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Which of the following fractions is closest to $$\frac{1}{2}$$
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OG18 OG19 OG20 OG2022
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If p $$\neq 0$$ and $$p - \frac{1-p^{2}}{p} = \frac{r}{p}$$, then r =
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OG17 OG18 OG19 OG20 OG2022
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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 ?
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OG18 OG19 OG20 OG2022
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What number is 108 more than two-thirds of itself?
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OG21 OG2022
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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?
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