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题目： If $$\sqrt{2x^{2}+2xy+13y^{2}} = x + 3y$$ , then x =

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题目： Having received his weekly allowance, John spent $$\frac{3}{5}$$ of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.80 at the candy store. What is John's weekly allowance?

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题目： If$$(\frac{1}{2})^{24}(\frac{1}{81})^{k}={{1}\over18^{24}}$$ , then k =

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题目： When 100 is divided by positive integer x, the remainder is 2. What is the remainder when 198 is divided by x?

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题目： In Ophiuchus Corporation, 60% of the total revenue R is devoted to the advertising budget. Five-sixths of this advertising budget was spent on television advertising. Which of the following represents the dollar amount spent on television advertising?

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题目： In a group of 50 students, 31 are taking French, 17 are taking Spanish, and 10 are taking neither French nor Spanish. How many students are taking both French and Spanish?

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题目： What is the area of the circle?

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题目： $${10!-8!}\over{7!}$$=

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题目： If x is the greatest common divisor of 90 and 18, and y is the least common multiple of 51 and 34, then x + y =

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题目： It took Ellen 6 hours to ride her bike a total distance of 120 miles. For the first part of the trip, her speed was constantly 25 miles per hour. For the second part of her trip, her speed was constantly 15 miles per hour. For how many miles did Ellen travel at 25 miles per hour?

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题目： If $$\frac{4}{w} + \frac{4}{x} = \frac{4}{y} and wx = y$$, then the average (arithmetic mean) of w and x is

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题目： $$(2\sqrt{3}+\sqrt{5})(2\sqrt{3}-\sqrt{5})$$

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题目： If the sum of two numbers is 6, and the sum of their reciprocals is $$\frac{15}{8}$$, what is the product of the two numbers?

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题目： Line k is in the rectangular coordinate system. If line k is defined by the equation 3y = 2x + 6, and line k intersects the x-axis at point (a,b), then what is the value of a?

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题目： Given f(x) = 3x – 5, for what value of x does 2*[f(x)] – 1 = f(3x – 6) ?