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题目内容
a > b > 0

r > s > 0

In the xy-plane, line l crosses the y-axis at (0, a) and crosses the x-axis at (r, 0), while line m crosses the y-axis at (0, b) and crosses the x-axis at (s, 0).

Quantity A

The slope of line l

Quantity B

The slope of line m


The figure represents a flat circular garden with a diameter of 6 feet. A circular border around the garden is 1 foot wide and is represented by the shaded region.

Quantity A

The area of the circular border around the garden

Quantity B

20 square feet
(x-5)($$\frac{2}{x}$$ - 3)=0

x≠5

Quantity A

x

Quantity B

1
n is a positive integer.

$$x_{1}, x_{2},...x_{n}$$ are n numbers.

c is a number.

Quantity A

The standard deviation of the n numbers $$x_{1}, x_{2},...x_{n}$$

Quantity B

The standard deviation of the n numbers $$x_{1}+c, x_{2}+c,...x_{n}+c$$
There are between 90 and 110 students in a certain gym class. When the students are divided into either 3, 5, or 7 teams with each team having an equal number of students, there are two students not placed on any team. Which of the following is the total number of students in the gym class?
Banks S and T pay simple annual interest at the rates of 4 percent and 8 percent, respectively, on a one-year certificate of deposit. What is the amount of an investment in a one-year certificate of deposit at Bank T that erans the same amount of interests as an investment of $7,000 in a one-year certificate of deposit at Bank S?
The phone extensions of a certain company run consecutively from 3000 to 3799. The phone extensions that began with the digits 33 or 34 belong to Division 1 of the company. The phone extensions that end with the digit 0 or 1 belong to managers. What percent of the phone extensions of the company belong to managers in Division 1?
For all numbers a and b, the operation ⭕️ is defined by a ⭕️ b=2a-3b. What is the value of 1 ⭕️ (2 ⭕️ 4)?
In 2003, approximately what was the ratio of the number of acres of millet grown organically to the number of acres of rice grown organically?
From 2005 to 2006, the number of acres of corn grown organically increased by half as much as it did from 2004 to 2005. From 2006 to 2007, the number of acres of corn grown organically increased by half as much as it did from 2005 to 2006. Which of the following is closest to the number of acres of corn grown organically in 2007?
If the number of acres of barley grown was the same in 2004 as it was in 2005, approximately what percent of the number of acres of barley grown in 2004 was grown organically?
The average (arithmetic mean) of the 100 numbers in list S is 5.0. The average of the 20 numbers in list T is m. If the numbers in both lists are combined into one list, the average of the 120 numbers in the combined list is m-3. What is the value of m?


In the xy-plane, line segment PR intersects the x-axis at point Q and is parallel to the y-axis. If the legnth of PQ is twice the length of QR, what are the corrdinates of point R, in terms of a and b?
In a marketing survey of 600 consumers about two brands of coffee, A and B, the consumers responded that they had tried either Brand A only, Brand B only, both brands, or neither brand. In the survey, 130 consumers responded that they had tried neither brand.

Which of the following statements individually provide(s) sufficient additional information to determine the number of consumers who, based on their response, had not tried Brand A?

Indicate all such statements.
The average (arithmetic mean) of 3 integers, x, y, and z, equals the average of 12, 14, 21, and 45.

Quantity A

x+y+z

Quantity B

69

Quantity A

$$5(2^{x})$$

Quantity B

$$4(3^{x})$$


Quantity A

4

Quantity B

k
The dollar value of a certain carving in 1983 was 20 percent greater than its dollar value in 1978. The dollar value of the carving in 1988 was 70 percent greater than its dollar value in 1978.

Quantity A

The percent increase in the dollar value of the carving from 1983 to 1988

Quantity B

50%
x and y are integers, and 2x+3y=5

Quantity A

x+y

Quantity B

0
n > 1

Quantity A

The product of ($$\sqrt{n+1}-\sqrt{n-1}$$) and ($$\sqrt{n+1}+\sqrt{n-1}$$)

Quantity B

2

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