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An organization offers only three types of annual memberships. Basic memberships cost $50 each, standard memberships cost $70 each, and premium memberships cost $100 each. Last year, a total of 200 memberships were purchased at an average arithmetic mean) cost of $80 per membership.

Which of the following statements individually provide(s) sufficient additional information to determine the number of premium memberships purchased last year?

Indicate all such statements
The operation ⭕️ is defined by x ⭕️ y=$$\frac{1}{x}$$+$$\frac{1}{y}$$ for all positive numbers x and y. Which of the following statements must be true for all positive numbers m and r?

Indicate all such statements.
In the $$xy$$-plane, line $$m$$ passes through the point $$(7, 7)$$ and is perpendicular to the line $$x+y=4$$. The point $$(a, b)$$ is on line $$m$$ and is halfway between the point $$(7, 7)$$ and the line $$x+y=4$$. What is the value of $$a+b$$?

Quantity A

100!

Quantity B

$$(50!)^{2}$$


When Kim Dae Jung was decisively elected South Korea's president in December 1997, he was considered something of ____________ but nevertheless the right man for the time and the job.
Which of the following, if true, most strengthens the argument?

Quantity A

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

Quantity B

1




When called before Congress to testify about the revocation of his passport, Paul Robeson defiantly ____________ his inquisitors for violating his rights.
In a certain survey, 40 percent of the people surveyed own at least one dog, 30 percent own at least one cat, and 40 percent own neither a dog nor a cat. Of those surveyed that own at least one dog, what percent also own at least one cat?
The circumference of circle C is equal to the perimeter of square S.

Quantity A

The ratio of the area enclosed by C to the area enclosed by S

Quantity B

1




Quantity A

RS

Quantity B

3


Quantity A

$$(x-0.7)^{2}$$

Quantity B

$$(0.7-x)^{2}$$


In 1970 approximately what percent of United States residents were older than 5 but younger than 65 years old?
Of the 10 selected years, which had the greatest total number of United States residents in the combined age groups of "5 years and younger" and "65 years and older"?
Of the following which best describes how the number of United States residents that were in the age-group"5 years and younger"changed from 1900 to 1940?
0 < x < 1

Quantity A

$$\sqrt{x}$$+$$\sqrt{1-x}$$

Quantity B

1




Over the years, some researchers and educators have (i)____________ the argument for hands-on learning of science, (ii)____________ that a more straightforward approach-known as direct instruction-has the potential to help students learn science more effectively.
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?

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