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OG16 OG17 OG18 OG19 OG20 OG2022	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. $$\frac{y}{a} = \frac{x}{b}$$
OG16 OG17 OG18 OG19 OG20 OG2022	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?
OG16 OG17 OG18 OG19 OG20 OG2022	If a(a + 2) = 24 and b(b + 2) = 24, where $$ a\neq b,$$ then a + b =
OG16 OG17 OG18 OG19 OG20 OG2022	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?
OG16 OG17 OG18 OG19 OG20 OG2022	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?
OG18 OG19 OG20 OG2022	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?
OG18 OG19 OG20	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?
OG16 OG17 OG18 OG19 OG20 OG2022	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?
OG16 OG17 OG18 OG19 OG20 OG2022	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?
OG19 OG20 OG2022	The symbol $$\Delta$$ denotes one of the four arithmetic operations: subtraction, multiplication, or division. If 6 $$\Delta$$ 3 $$\le$$ 3, which of the following must be true? I. 2 $$\Delta$$ 2=0 II. 2 $$\Delta$$ 2=1 III. 4 $$\Delta$$ 2=2
OG17 OG18 OG19 OG20 OG2022	If$$ mn \neq 0 $$ and 25 percent of n equals $$37\frac{1}{2}$$ percent of m, what is the value of $$\frac{12n}{m}$$?
OG17 OG18 OG19 OG20 OG2022	Last year Joe grew 1 inch and Sally grew 200 percent more than Joe grew. How many inches did Sally grow last year?
OG19 OG20 OG2022	The table shows partial results of a survey in which consumers were asked to indicate which one of six promotional techniques most influenced their decision to buy a new food product .Of those consumers who indicated one of the four techniques listed ,what fraction indicated either coupons or store displays ?
OG16 OG17 OG18 OG19 OG20 OG2022	The cost C, in dollars, to remove p percent of a certain pollutant from a pond is estimated by using the formula $${c}=\frac{100,000p}{100-p}$$. According to this estimate, how much more would it cost to remove 90 percent of the pollutant from the pond than it would cost to remove 80 percent of the pollutant?
OG16 OG17 OG18 OG19 OG20 OG2022	If $${x}{y}≠{0}$$ and $${x}^{2}{y}^{2}-{x}{y}={6}$$, which of the following could be y in terms of x?I.$$\frac1 {2x}$$II.$$-\frac2 x$$III $$\frac3 x$$
OG16 OG17 OG18 OG19 OG20 OG2022	$$\sqrt{{4.8}*{10}^{9}}$$ is closest in value to
OG18 OG19 OG20 OG2022	Three printing presses, R, S, and T, working together at their respective constant rates, can do a certain printing job in 4 hours. S and T, working together at their respective constant rates, can do the same job in 5 hours. How many hours would it take R, working alone at its constant rate, to do the same job?
OG17 OG16 OG18 OG19 OG20 OG2022	For a party, three solid cheese balls with diameters of 2 inches, 4 inches, and 6 inches, respectively, were combined to form a single cheese ball. What was the approximate diameter, in inches, of the new cheese ball?(The volume of a sphere is $$\frac{4}{3}\pi{r}^{3}$$, where r is the radius.)
OG16 OG17 OG18 OG19 OG20 OG2022	The sum of all the integers k such that -26 < k < 24 is
OG16 OG17 OG18 OG19 OG20 OG2022	The number line shown contains three points R, S, and T, whose coordinates have absolute values r, s, and t, respectively. Which of the following equals the average (arithmetic mean) of the coordinates of the points R, S, and T ?