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题目： There are X girls in a class, and their average height is M inches. In the same class, there are Y boys with an average height of N inches. What is the average height of all the students in the class?

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题目： In the figure to the right, what is the value of x?Note: Not drawn to scale.

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题目： What is the slope of the line represented by the equation x + 2y = 1?

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题目： If a, b, c, and d are integers and$$ ab^{2}c^{3}d^{4} > 0$$, which of the following must be positive? I. $$a^{2}cd $$II. $$bc^{4}d $$III.$$ a^{3}c^{3}d^{2} $$

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题目： Pablo plays 3 rounds of a game, in which his chances of winning each round are$$\frac{1}{3} ,\frac{1}{6} , and\frac{1}{n}$$ , respectively. If$$ n \neq 0$$, what is the probability that Pablo wins the first two rounds, but loses the third?

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题目： Jack pours water into a bucket until the bucket is filled to 60% of its capacity. Jill then fills the bucket to capacity by pouring an additional $$\frac{2}{3}$$ of a gallon of water into the bucket. What is the capacity of the bucket, in gallons?

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题目： The perimeter of a rectangular yard is completely surrounded by a fence that measures 40 meters. What is the length of the yard if the area of the yard is 64 meters squared?

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题目： If $$3^{2n} = (\frac{1}{9})^{n+2}$$, what is the value of n?

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题目： $$\frac{49+49}{49+49^{2}}$$=

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题目： If a and b represent positive single digits in the correctly worked computation above, what is the value of a + 2b?

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题目： A circus clown is entertaining kids by making balloon animals. The clown can make any one the following animals: giraffe, dog, elephant, or monkey. The clown has five colors of balloons to choose from: red, yellow, blue, green, and purple. If the clown is just as likely to make any one of the animals and choose any one color, what is the probability that the clown will make a purple elephant?

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题目： S1 = 7S2 = 10...Sn = 3n + 4For the sequence above, in which any term n is defined as 3n + 4, what is the value of n for the first term in the sequence to exceed 50?

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Found in the wild only in Australia and New Guinea, powerful back legs with long feet distinguish kangaroos from other large mammals.

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Every workday at dawn, the patriarch of one of the city's five richest families leaves his mansion and walks to city hall.

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The declining number of graduate students majoring in engineering has resulted in less skilled engineers qualified to work in modern industries that have become increasingly high-tech.