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Which of the following could be a factor of $$\frac{9!}{(6!)(3!)}$$?

Indicate all such numbers.
What is the sum of all the integers between 100 and 400 that have only three positive factors?

Quantity A

The remainder when 11,999,999 is divided by 12

Quantity B

11




Quantity A

The tens digit of

($$4^{100}$$)($$5^{99}$$)

Quantity B

The tens digit of

($$4^{100}$$)($$5^{101}$$)






How many positive three-digit integers with an odd hundreds digit are multiples of 5?
If $$p$$ is an prime number greater than 5, and if 5 is a factor of $$p+p^{2}$$,which of the following might be the remainder when $$p$$ is divided by 5?

Indicate all such numbers.
N is an integer between 10 and 100. When N is divided by 4, 6, and 7, the remainder is 2.

Quantity A

The remainder when N is divided by 11

Quantity B

9


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

$$\frac{4}{5}$$


$$|2x+7| < 13$$

Quantity A

$$x^{2}$$

Quantity B

9


In a certain election, $$\frac{3}{5}$$ of the voters in District K and $$\frac{1}{2}$$ of the voters in District P voted for the candidate Miguel Garcia. If 4 times as many people voted in District K as voted in District P, what percent of the voters in both districts combined voted for Miguel Garcia?
At a furniture store on Monday, the retail price of a table was n dollars. On Wednesday that week, the retail price of the table was reduced to $56. On Friday that week, the price of table was reduced again to 25 percent less than the price on Wednesday. If the ratio of n to the price of the table on Friday is 32 to 21, what is the value of n?
On May 5, 2004, the closing price of Stock A was $60.00, which was a decrease of 8 percent from the closing price of the stock on the previous day, May 4, 2004. On May 6, 2004, the closing price of the stock was exactly the same as the closing price on May 4, 2004. What was the percent increase in the closing price of the stock from May 5, 2004 to May 6, 2004?

Give your answer to the nearest whole percent.

_____%
The speed of light is $$3·10^{8}$$ meters per second, rounded to the nearest $$10^{8}$$ meters per second. A "light-hour" is the distance that light travels in an hour.



Quantity A

The number of kilometers in a light-hour

Quantity B

$$10^{10}$$




1 acre=4,840 square yard

1 yard=3 feet

Quantity A

The number of square feet in 1 acre

Quantity B

40,000


A certain store sells circular rugs at a constant price per square foot. If a circular rug with diameter 5 feet costs $250, what is the cost of a circular rug with diameter 9 feet?
By draining 40 gallons of water from a tank, the amount of water in the tank was decreased from $$\frac{1}{5}$$ of the tank 's full capacity to $$\frac{2}{11}$$ of the tanks full capacity. Water was then added to the tank until the tank was full. How many gallons of water were added to the tank?
Three printers, $$X_1$$, $$X_2$$ and $$X_3$$, work only at their respective constant rates. Working together,$$X_1$$, $$X_2$$ and $$X_3$$ can complete a certain job in 9 hours; working together, $$X_2$$ and $$X_3$$ can complete the same job in 12 hours. Working alone, how many hours will it take $$X_1$$ to complete the job?
A certain charity is conducting a fund-raiser. For the first $9,000 raised by the charity, Company B will contribute $1 for every $3 collected by the charity. For any amount over $9,000 raised by the charity, Company B will contribute $2 for every $5 collected by the charity. How much money must the charity raise in order to reach a total of $68,000, including the contribution from Company B?
x≠0

y≠0

x+y≠0

Quantity A

$$x^{-3}$$+$$y^{-3}$$

Quantity B

$$(x+y)^{-3}$$


Which of the following is the best estimate of $$\frac{(16.8)(10^{3})}{(0.51)(10^{-11})}$$?

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