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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OG17 OG18 OG19 OG20 OG2022
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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?
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OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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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?
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OG16 OG17 OG18 OG19 OG20 OG2022
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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 $$u$$?
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OG12 OG15 OG16 OG17 OG18
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A glass was filled with 10 ounces of water, and 0.01 ounce of the water evaporated each day during a 20-day period. What percent of the original amount of water evaporated during this period?
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OG18 OG19 OG20 OG2022
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If m and p are positive integers and$$ m^{2} + p^{2} < 100$$, what is the greatest possible value of mp ?
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OG16 OG17 OG18 OG19 OG20 OG2022
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If $$\frac{x}{y}=\frac{c}{d}$$ and $$\frac{d}{c}=\frac{b}{a}$$, which of the following must be true?I. $$\frac{y}{x} = \frac{b}{a}$$II. $$\frac{x}{a} = \frac{y}{b}$$III. $$\frac{y}{a} = \frac{x}{b}$$
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OG16 OG17 OG18 OG19 OG20 OG2022
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If k is an integer and $$({0.0025})({0.025})({0.00025})\times{10}^{k}$$ is an integer, what is the least possible value of k?
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OG16 OG17 OG18 OG19 OG20 OG2022
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If a(a + 2) = 24 and b(b + 2) = 24, where $$ a\neq b,$$ then a + b =
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OG16 OG17 OG18 OG19 OG20 OG2022
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In a recent election, Ms. Robbins received 8,000 votes cast by independent voters, that is, voters not registered with a specific political party. She also received 10 percent of the votes cast by those voters registered with a political party. If N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Ms. Robbins received?
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OG16 OG17 OG18 OG19 OG20 OG2022
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In the figure shown, the triangle is inscribed in the semicircle. If the length of line segment AB is 8 and the length of line segment BC is 6, what is the length of arc ABC?
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OG18 OG19 OG20 OG2022
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A manufacturer makes and sells 2 products, P and Q. The revenue from the sale of each unit of P is $20.00 and the revenue from the sale of each unit of Q is $17.00. Last year the manufacturer sold twice as many units of Q as P. What was the manufacturer's average (arithmetic mean ) revenue per unit sold of these 2 products last year?
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OG15 OG16 OG17 OG18
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On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price per glass on the second day?
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OG18 OG19 OG20
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A worker carries jugs of liquid soap from a production line to a packing area, carrying 4 jugs per trip. If the jugs are packed into cartons that hold 7 jugs each, how many jugs are needed to fill the last partially filled carton after the worker has made 17 trips?
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OG16 OG17 OG18 OG19 OG20 OG2022
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The figure shown above represents a modern painting that consists of four differently colored rectangles, each of which has length l and width w. If the area of the painting is 4,800 square inches, what is the width, in inches, of each of the four rectangles?
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OG12 OG15 OG16 OG17 OG18
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A certain fruit stand sold apples for $0.70 each and bananas for $0.50 each. If a customer purchased both apples and bananas from the stand for a total of $6.30, what total number of apples and bananas did the customer purchase?
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OG15 OG16 OG17 OG18
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In the xy-plane, what is the slope of the line with equation 3x + 7y = 9?
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OG16 OG17 OG18 OG19 OG20 OG2022
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Working simultaneously and independently at an identical constant rate, 4 machines of a certain type can produce a total of x units of product P in 6 days. How many of these machines, working simultaneously and independently at this constant rate, can produce a total of 3x units of product P in 4 days?
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