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OG12 OG15 OG16 OG17
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Car A is 20 miles behind Car B, which is traveling in the same direction along the same route as Car A. Car A is traveling at a constant speed of 58 miles per hour and Car B is traveling at a constant speed of 50 miles per hour. How many hours will it take for Car A to overtake and drive 8 miles ahead of Car B ?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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For the past n days, the average (arithmetic mean) daily production at a company was 50 units. If today's production of 90 units raises the average to 55 units per day, what is the value of n ?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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In an electric circuit, two resistors with resistances x and y are connected in parallel. In this case, if r is the combined resistance of these two resistors, then the reciprocal of r is equal to the sum of the reciprocals of x and y. What is r in terms of x and y ?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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Xavier, Yvonne, and Zelda each try independently to solve a problem. If their individual probabilities for success are $$\frac{1}{4}$$, $$\frac{1}{2}$$ and $$\frac{5}{8}$$ respectively, what is the probability that Xavier and Yvonne, but not Zelda, will solve the problem?
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OG12 OG15 OG16 OG17 OG18 OG19 OG19 OG20 OG2022
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$$(\frac{1}{2})^{-3}(\frac{1}{4})^{-2}(\frac{1}{16})^{-1}=$$
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OG12 OG15 OG16 OG17
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In a certain game, a large container is filled with red, yellow, green, and blue beads worth, respectively, 7, 5, 3, and 2 points each. A number of beads are then removed from the container. If the product of the point values of the removed beads is 147,000, how many red beads were removed?
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OG12 OG15
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if $$\frac{2}{{1}+\frac{2}{y}}=1$$,then y=
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75 percent fescue. If a mixture of X and Y contains 30 percent ryegrass, what percent of the weight of the mixture is X ?
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OG12 OG15
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if $$\frac{(0.0015\times10^m)}{(0.03\times10^k)}={5}\times{10}^{7}$$,then m-k=
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OG12
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if x+y=a and x-y=b,then 2xy=
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PREP07 Test 1
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If n is a positive integer less than 200 and$$\frac{14n}{60}$$is an integer, then n has how many different positive prime factors?
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OG12
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If the area of a square region having sides of length 6 centimeters is equal to the area of a rectangular region having width 2.5 centimeters, then the length of the rectangle, in centimeters, is
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OG12 OG15 OG16 OG17 OG18
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The average distance between the Sun and a certain planet is approximately 2.3 x $${10}^{14}$$ inches. Which of the following is closest to the average distance between the Sun and the planet, in kilometers? (1 kilometer is approximately 3.9 x $${10}^{4}$$ inches.)
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OG12 OG15 OG16 OG17 OG18
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If n is an integer, which of the following must be even?
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OG12 OG15 OG16 OG17 OG18
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The sum $$\frac{7}{8}+\frac{1}{9}$$ is between
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OG12 OG15 OG16 OG17 OG18
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If y is an integer, then the least possible value of |23 - 5y| is
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OG12
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Kelly and Chris packed several boxes with books. If Chris packed 60 percent of the total number of boxes, what was the ratio of the number of boxes Kelly packed to the number of boxes Chris packed?
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OG12
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If r = 0.345, s = $$({0.345})^{2}$$, and t =$$\sqrt{0.345}$$, which of the following is the correct ordering of r, s, and t ?
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OG12 OG15 OG16 OG17 OG18
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In the Johnsons' monthly budget, the dollar amounts allocated to household expenses, food, and miscellaneous items are in the ratio 5:2:1, respectively. If the total amount allocated to these three categories is $1,800, what is the amount allocated to food?
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OG12
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In the xy-coordinate system, if (a,b) and (a + 3,b + k) are two points on the line defined by the equation x = 3y- 7, then k =
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