OG21 OG2022
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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)
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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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OG21 OG2022
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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?
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OG21 OG2022
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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?
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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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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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OG20 OG2022
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If rectangle ABCD is inscribed in the circle above, what is the area of the circular region?
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OG20 OG2022
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In quadrilateral ABCD above, what is the length of AB ?
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OG20 OG2022
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Three-fourths 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?
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OG20 OG2022
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In the floor plan of an executive's beach house above, the north and south walls of the living room are parallel. What is the floor area, in square feet, of the bedroom?
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OG20 OG2022
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On a scale drawing, a rectangle 1 inch by $$1\frac{1}{3}$$inches represents the floor of a room and the indicated scale is 1 inch equals 15 feet. How many square tiles 6 inches on a side will be needed to cover this floor? (1 foot = 12 inches)
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OG21 OG2022
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According to a survey of 200 people, 60 enjoy skiing and 80 enjoy skating. If the number of people who enjoy neither skiing nor skating is 2 times the number of people who enjoy both skiing and skating, how many people surveyed enjoy neither skiing nor skating?
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OG21 OG2022
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m⊕p = n
n⊕r =m
n⊕q = q
p⊕q = p
q⊕p = r
If the relations shown hold for the operation ⊕ and the numbers m, n, p, q, and r, then [(m ⊕ p) ⊕q] ⊕ p =
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OG21 OG2022
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To rent a tractor, it costs a total of x dollars for the first 24 hours, plus y dollars per hour for each hour in excess of 24 hours. Which of the following represents the cost, in dollars, to rent a tractor for 36 hours?
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OG21 OG2022
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If the mass of 1 cubic centimeter of a certain substance is 7.3 grams, what is the mass, in kilograms, of 1 cubic meter of this substance? (1 cubic meter = 1,000,000 cubic centimeters; 1 kilogram = 1,000 grams)
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OG21 OG2022
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If z≠o and z + $$\frac{1-2z^{2}}{z}$$=$$\frac{w}{z}$$,then ω=
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OG21 OG2022
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For all real numbers a, b, c, d, e,and f,the operation θ is defined by the equation (a, b, c) θ (d, e,f) = ad + be + cf. What is the value of (1,-2, 3)θ(1,-$$\frac{1}{2}$$, $$\frac{1}{3}$$)?
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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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