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题目内容
$$x^2 – x \gt 0$$, and $$|x| \lt 1$$

Quantity A

$$|x|$$

Quantity B

$$x$$
A map scale of 1:50,000 means that 1 unit on the map represents 50,000 of the same units in actual distance. On a map drawn to this scale, approximately how many inches represent an actual distance of 4.5 miles? (1 mile=63,360 inches)
Give your answer to the nearest 0.1 inch.
If $$0 \lt x \lt 1$$, what is the median of $$\frac{x}{2}, x, x^{-1}, \sqrt{x},$$ and $$ x^2$$?
If $$\frac{x+2}{x-3} = \frac{x+1}{x},$$ where $$x \neq 0$$ and $$x \neq 3$$, what is the value of $$x$$?
Give your answer as a fraction.
$$0 \lt y \lt x$$

Quantity A

$$\frac{1}{\frac{x}{y}-1}$$

Quantity B

$$\frac{x}{y}-1$$
The lempira is the currency of Honduras, and the quetzal is the currency of Guatemala. In January 2016, the exchange rates for United States dollars and the other two currencies were 1 United States dollar for 22.48 lempiras and 1 United States dollar for 7.55 quetzales. Based on these exchange rates, approximately what was the value of 1 lempira in quetzales?
$$xy \neq 0$$ and $$x \gt y$$.

Quantity A

$$\frac{1}{x}$$

Quantity B

$$\frac{1}{y}$$
1 nonillion = $$(1,000)^{10}$$
When written as an integer, 1 nonillion has $$k$$ zeros.

Quantity A

$$k$$

Quantity B

$$30$$
$$x^2+x-6=0$$

Quantity A

$$\frac{1}{1+3^x}$$

Quantity B

$$\frac{1}{1+5^x}$$

Point $$O$$ is the center of the circle.

Quantity A

$$r^2$$

Quantity B

The area of triangular region $$ABC$$
20, 20, 20, 18, 18, 18, 24, 24, 21, $$x$$
The numbers shown, including $$x$$, represent the ages, in years, of 10 people.

Quantity A

The median age of the 10 people

Quantity B

20 years

$$a, b, c,$$ and $$d$$ are numbers on the number line shown.

Quantity A

$$ad$$

Quantity B

$$bc$$
$$x \lt 0$$

Quantity A

$$(x^3)^7$$

Quantity B

$$(x^3)(x^7)$$
$$17^{13}-17=x$$

Quantity A

The units digit of the integer $$x$$

Quantity B

$$1$$
For all numbers $$a$$ and $$b$$, the operation $$\bigotimes$$ is defined by the following equation.

$$ a \bigotimes b= \begin{cases} 2,\quad if \quad a \gt b\\ 0,\quad if \quad a=b\\ b+1,\quad if \quad a \lt b \end{cases} $$
What is the value of ((1 $$\bigotimes$$ 2) $$\bigotimes$$ 1) $$\bigotimes$$ 2?

The area of square region $$ABCD$$ is 16

Quantity A

The area of the circular region

Quantity B

$$4π$$
The cost $$r$$, in dollars, of an order of $$m$$ carboard boxes is given by $$r = 0.55m+14.00$$.
What is the number of carboard boxes in an order that costs $$$212.00$$?
How many of the companies planning to make an acquisition gave the reason that was given by the least number of surveyed companies?
How many of the five reasons given were given by more than 800 of the companies planning to make an acquisition?

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