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题目内容
The reciprocal of n equals 8 times the square of n.

Quantity A

$$\frac{1}{n}$$

Quantity B

2
p > 1

Which of the following could be the value of $$\frac{p}{p+1}$$?

Indicate all such values.
|x| ≤ 6 and |y| ≤ 4

x and y are integers, where x≠0. M is the greatest possible value of |$$\frac{y}{x}$$|.

Quantity A

M

Quantity B

1
$$x$$ and $$y$$ are both integers

$$2 \leq x \lt y \leq 7$$,what is the least possible value of $$\frac{x+y}{xy}$$?

Give your answer as a fraction.
x and y are both integers

2 ≤ x < y < 7

What is the maximum value of $$\frac{x+y}{xy}$$?
$$a$$ and $$b$$ are positive integers and $$a \lt b$$.

Quantity A

$$\frac{1}{\frac{1}{a}+\frac{1}{15}+\frac{1}{14}+\frac{1}{13}+\frac{1}{12}}$$

Quantity B

$$\frac{1}{\frac{1}{b}+\frac{1}{15}+\frac{1}{14}+\frac{1}{13}+\frac{1}{12}}$$
For integers x, y, and z, where 1 ≤ x < y < z ≤ 10, what is the least possible value of the expression $$\frac{x-y}{z}$$?

Give your answer as a fraction.
Each of the 1,800 households that participated in a survey owned either one car, two cars, or no cars. If 740 of the households owned only one car and at least $$\frac{1}{3}$$ of the households owned two cars, what is the greatest possible value of the ratio of the number of households that owned no cars to the number of households that owned two cars?

Give your answer as a fraction.
|x| ≤ 6 and |y| ≤ 4

x and y are integers, where x≠0. M is the greatest possible value of |$$\frac{y}{x}$$|.

Quantity A:M

Quantity B:1
$$x^{-1}$$$$y^{-1}$$>0

Quantity A:$$\frac{x^{-1}}{y^{-1}}$$

Quantity B:$$\frac{x}{y}$$
$$\frac{a+1}{b-1}$$=$$\frac{5}{7}$$

Quantity A

$$\frac{a}{b}$$

Quantity B

$$\frac{1}{2}$$
If k and n are each positive integers between 12 and 30, then $$\frac{5+k}{7+n}$$will be equal to $$\frac{5}{7}$$for how many pairs of (k, n)?
$$\frac{6}{1.8}$$=$$\frac{z}{0.9}$$

Quantity A

z

Quantity B

3.8
$$\frac{2x-3}{x-1}$$=0

Quantity A

x

Quantity B

1
$$\frac{x+3y}{-2}$$ = $$\frac{2x+y}{-3}$$

If x and y are positive integers in the equation shown, what is the least possible value of x+y?
If x and y are positive numbers and the ratio of x to y is 5 to 4, which of the following ratios must be equal to 6 to 5?
$$\frac{x+3y}{-2}$$= $$\frac{2x+y}{-3}$$

If x and y are positive integers in the equation shown, what is the least possible value of x+y?
N copies of a certain health magazine cost a total of $64.

R copies of a certain news magazine cost a total of $80.

Quantity A

The ratio of the cost of 1 of the health magazines to the cost of 1 of the news magazines

Quantity B

$$\frac{4}{5}$$
Q unit of water is used to irrigate n acres of land. How many acres of land can 1000 units of water irrigate?
A building with an area of x acres can be divided into many lots. The area of each lot is either $$\frac{1}{4}$$ acre or $$\frac{1}{2}$$ acre.

Quantity A

The greatest possible number of lots minus the least possible number of lots

Quantity B

x

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