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What is the value of the integer n?(1)$$n(n + 2) = 15$$(2)$$({n}+{2})^{n}={125}$$
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Theater M has 25 rows with 27 seats in each row. How many of the seats were occupied during a certain show?(1)During the show, there was an average (arithmetic mean) of 10 unoccupied seats per row for the front 20 rows.(2)During the show, there was an average (arithmetic mean) of 20 unoccupied seats per row for the back 15 rows.
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 The figure above shows two entries, indicated by m and n, in an addition table. What is the value of n + m?(1)d + y = -3(2)e + z = 12
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If Henry were to add 5 gallons of water to a tank that is already $$\frac3 4$$ full of water, the tank would be $$\frac7 8$$ full. How many gallons of water would the tank hold if it were full?
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OG18-数学分册
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For all positive integers m and v, the expression m Θ v represents the remainder when m is divided by v. What is the value of ((98Θ33)Θ17)-(98Θ(33Θ17)) ?
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On an aerial photograph, the surface of a pond appears as circular region of radius $$\frac7 {16}$$ inch. If a distance of 1 inch on the photograph corresponds to an actual distance of 2 miles, which of the following is the closest estimate of the actual surface area of the pond, in square miles?
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If $${3}^{6x}=8,100$$, what is the value of $$({3}^{x-1})^{3}$$ ?
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Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a second card is drawn. If the cards are drawn at random and if the sum of the numbers on the cards is 8, what is the probability that one of the two cards drawn is numbered 5 ?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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How many prime numbers between 1 and 100 are factors of 7,150 ?
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OG16 OG17 OG18 OG19 OG20 OG2022
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In a certain sequence of 8 numbers, each number after the first is 1 more than the previous number. If the first number is -5, how many of the numbers in the sequence are positive?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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During a trip, Francine traveled x percent of the total distance at an average speed of 40 miles per hour and the rest of the distance at an average speed of 60 miles per hour. In terms of x, what was Francine's average speed for the entire trip?
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OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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A researcher plans to identify each participant in a certain medical experiment with a code consisting of either a single letter or a pair of distinct letters written in alphabetical order. What is the least number of letters that can be used if there are 12 participants, and each participant is to receive a different code?
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A certain roller coaster has 3 cars, and a passenger is equally likely to ride in any 1 of the 3 cars each time that passenger rides the roller coaster. If a certain passenger is to ride the roller coaster 3 times, what is the probability that the passenger will ride in each of the 3 cars?
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OG18-数学分册
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A set of numbers has the property that for any number t in the set, t + 2 is in the set. If -1 is in the set, which of the following must also be in the set?I.-3II.1III.5
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 The figure shows a square patio surrounded by a walkway of width x meters. If the area of the walkway is 132 square meters and the width of the patio is 5 meters greater than the width of the walkway, what is the area of the patio, in square meters?
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OG12 OG15 OG16 OG17 OG18
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When Leo imported a certain item, he paid a 7 percent import tax on the portion of the total value of the item in excess of $1,000. If the amount of the import tax that Leo paid was $87.50, what was the total value of the item?
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KMFPS
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A photographer will arrange 6 people of 6 different heights for photograph by placing them in two rows of three so that each person in the first row is standing in front of someone in the second row. The heights of the people within each row must increase from left to right, and each person in the second row must be taller than the person standing in front of him or her. How many such arrangements of the 6 people are possible?
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OG18-数学分册
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Running at their respective constant rates, machine X takes 2 days longer to produce w widgets than machine Y. At these rates, if the two machines together produce $$\frac5 4$$ w widgets in 3 days, how many days would it take machine X alone to produce 2w widgets?
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June 25, 1982, fell on a Friday. On which day of the week did June 25, 1987, fall? (Note:1984 was a leap year.)
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OG17
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If S is the sum of the reciprocals of the consecutive integers from 91 to 100, inclusive, which of the following is less than S?I.$$\frac1 8$$II.$$\frac1 9$$III. $$\frac1 {10}$$
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