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题目内容
When 9 gallons of a solution that is 30 percent alcohol are mixed with 18 gallons of a solution that is x percent alcohol, the resulting mixture is 25 percent alcohol. Which of the following is closest to the value of x?
How many three-digit positive integers have a tens digit equal to 3 or 5?
A certain triangle has sides of lengths 5, 12, and $$x$$. Which of the following could be the value of x?

Indicate all such values.


The table shows four different amounts of money invested on the same day at different simple annual interest rates. If each investment earns the same amount of interest for the first year after the investment is made, what is the value of $$y - x$$?
If $$x$$ is an integer, which of the following must be divisible by 2?
Of the 83 members of a certain club, 48 members enjoy boating and 33 members enjoy fishing. If all except 10 of the members of the club enjoy boating or fishing or both, how many members enjoy boating but not fishing?


The diameter of the circle centered at O is $$d$$.

Quantity A

The perimeter of triangle AOB

Quantity B

$$\frac{5d}{3}$$
If $$t=h^2 +2$$ and $$h$$ is an integer from -5 to 2, inclusive, then the greatest possible value of $$t$$ is how much more than the least possible value of $$t$$?
A manufacturer is designing a closed box in the shape of a rectangular solid where the ratio of the width to the height to the length of the box is 1 to 3 to 5. If the volume of the box is 405 cubic inches, what is the total surface area of the closed box, in square inches?
In the xy-plane, line $$n$$ has x-intercept $$h$$ and y-intercept $$t$$, where h and t are positive numbers. Which of the following points must lie on line $$n$$?

Indicate all such points.
$$y$$ equals $$x$$ percent of $$x$$, where $$0 < x < 100$$.

Quantity A

$$x$$ percent of $$x$$

Quantity B

$$y$$ percent of $$y$$


Quantity A

The length of line segment CG

Quantity B

Twice the length of line segment DF
Which of the following can be expressed as the sum of three consecutive positive integers?
In the xy-plane, which of the following best represents the graph of the equation $$2y-2=\frac{x}{2} - 3$$?
For the 3 numbers in a certain list, the average (arithmetic mean) and the median are equal to 20. If the greatest number in the list is 20 greater than the least number, what is the greatest number in the list?
$$n$$ is an integer between 100 and 200 such that when $$n$$ is divided by 9, the remainder is 4.

Quantity A

The number of possible values of $$n$$

Quantity B

11


On the number line above, the points with coordinates a, b, and c are in the order indicated. Which of the following must be true?


Equilateral triangle ABC is inscribed in a circle with center O and area 64π. What is the height of triangle ABC?
Of the 67 members of a certain club, 48 members enjoy sky diving and 27 members enjoy stock car racing. If all the members of the club enjoy sky diving or stock car racing or both, how many members enjoy sky diving but not stock car racing?

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