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A homeowner wants to pour concrete for a new patio and walkway according to the layout shown above. If the concrete is to be $$\frac{1}{3}$$ foot thick, how many cubic feet of concrete will be needed to form the patio and walkway?
$$1,575$$ = ($$3^{2}$$) ($$5^{2}$$) ($$7$$)

How many positive factors does the integer $$1,575$$ have, including the factors $$1$$ and $$1,575$$?
The label "melodrama" tends to have (i)____________ implications when used to describe a film with historical subject matter. Melodrama is widely perceived as antithetical to cinematic realism and thus, from a perspective that seeks (ii)____________ rendering of the historical past, incapable of delivering the necessary (iii)____________.
The development of expertise in artistic and other fields may depend partly on ____________: data suggest that a person's level of achievement correlates strongly with the hours of practice he or she puts in.
Cunliffe is intellectually indebted to the Annales school of French economic and social historians, which emphasized largely static environmental influences and long-term historical continuity and regarded political events mainly as________.
If a and b are positive and a+2b=$$\frac{16-b^{2}}{a}$$, what is the value of $$(a+b)^{3}$$ ?
Once Plowright's research is complete, she will be prepared to talk about it (i)_______, but for now, because she is discussing theories rather than facts and does not want to commit herself to an unsubstantiated claim, she prefers to make only the most (ii)_______comments.
The author mentions "other resources" primarily in order to
Select the sentence that spells out the significance of a finding.


In the rectangular coordinate plane above, how many points (x, y), where both x and y are integers, lie on the circle with center (0, 0) and radius 5?
For a certain type of can, the number of grams of aluminum per can decreased by 20 percent from 1994 to 1998, while the cost per gram of aluminum decreased by 60 percent. If the cost of the aluminum in y cans in 1994 was equal to the cost of aluminum in ky cans in 1998, then k=?
n is the least possible integer such that 108n is the square of an integer.

Quantity A

n

Quantity B

9


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

Quantity A

x

Quantity B

1


A total of $96,000 was invested for one month in a new money market account that paid simple annual interest at the rate of r percent. If the investment earned $960 in interest for the month, what is the value of r?
When the positive integer n is divided by 7, the remainder is 2.

Quantity A

The remainder when 2n+1 is divided by 7

Quantity B

5


Of the 30 college students taking a certain course, 10 are less than 21 years old and 4 received a score higher than 85 percent on the last test.

Quantity A

The number of students who are less than 21 years old and who received a score higher than 85 percent on the last test

Quantity B

3


What is the units digit of the sum $$13^{10}+17^{10}$$ ?
For how many of the possible orderings of the 5 letters of the word "merit" is the first letter m or t?
List A consists of the 5 numbers x, x+ 1, x+ 1, x+ 1, and x+ 2, where x is a positive integer. List B is formed by adding 3 times the range of the numbers in list A to each number in list A. How much greater is the average (arithmetic mean) of the numbers in list B than the average of the numbers in list A?
x > y > 0

Quantity A

$$\frac{x}{y}+\frac{y}{x}$$

Quantity B

2


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