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题目内容

Quantity A

The number of integer solutions of the equation $$3x^{2}+5x-2=0$$

Quantity B

1
In the distribution of heights in a group of a thousand people, height $$p$$ is at the 42nd percentile, height $$r$$ is at the 48th percentile, height $$s$$ is at the 54th percentile, and height $$t$$ is at the 60th percentile.

Quantity A

$$r-p$$

Quantity B

$$t-s$$
The wholesale prices of four types of backpacks are $$p_{1}$$, $$p_{2}$$, $$p_{3}$$, and $$p_{4}$$. A store orders these backpacks in the quantities of 65, 75, 50, and 60 backpacks, respectively. For which one of the four prices, if it were increased by 20 percent, would the total cost of the order increase by the greatest amount?


In the figure above, ABCD is a square and BC is a diameter of the circle. What is the area of the shaded region?
When the integer n is divided by 35, the remainder is 14. Which of the following must be a divisor of n?
From 1989 to 1992, there was a 10 percent increase in the percent of families that owned directly held stocks. Which of the following is closest to the percent of families who owned directly held stocks in 1989?
If 38.7 percent of the families who owned a home owed money on a home mortgage loan or home equity loan, or both, approximately what percent of United States families owned homes free of both home mortgage and home equity loans?
In 1992, if 7.9 percent of the families in the survey owned both savings bonds and mutual funds, what percent owned neither savings bonds nor mutual funds?


In the xy-plane, the vertices of triangle RST have coordinates (-k,k), (k, 2k), and (k+2, k), as shown. What is the area of triangle RST in terms of k?
b is the tens digit and c is the ones digit of the two-digit positive integer n, where 1 ≤ b ≤ c ≤ 6.

Quantity A

The number of possible values of n

Quantity B

18


Quantity A

The length of chord PQ

Quantity B

r
$$a$$ and $$b$$ are negative, and $$a^{2}-b^{2} \lt 0$$

Quantity A

$$a-b$$

Quantity B

$$0$$
In a certain electric circuit, the current I, in amperes, and the resistance R, in ohms, are related by the equation $$R=\sqrt{3}*I^{2}$$. When the current in the electric circuit is 3 amperes, the resistance is x ohms.

Quantity A

x

Quantity B

12
x and y are positive integers and xy=10.

Quantity A

$$8xy^{3}$$

Quantity B

|9xy-3|
$$(x^{3})(y^{2})=27$$

x > 0 and y > 0

Quantity A

x

Quantity B

y

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