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Q unit of water is used to irrigate n acres of land. How many acres of land can 1000 units of water irrigate?
A building with an area of x acres can be divided into many lots. The area of each lot is either $$\frac{1}{4}$$ acre or $$\frac{1}{2}$$ acre.

Quantity A

The greatest possible number of lots minus the least possible number of lots

Quantity B

x


The reduced price of a certain television was x percent less than the television's original price. The ratio of the reduced price of the television to the original price was 5 to 6.

Quantity A

x

Quantity B

20


$$k \gt m$$

Quantity A

|$$m$$| - |-$$k$$|

Quantity B

|$$k$$| - |-$$m$$|


|2+k|=|2-k|

Quantity A

k

Quantity B

0


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

Quantity A

$$x^{2}$$

Quantity B

9


Yesterday a certain merchant had $1,285.00 in total sales. If $$\frac{1}{2}$$ of the total sales were from the sale of merchandise that had been reduced by 50 percent, what would have been the total sales yesterday if all of the merchandise had been sold at full price?
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?
Two water faucets are used to fill a certain tank. Running individually at their respective constant rates, these faucets fill the empty tank in 12 minutes and 20 minutes, respectively. If no water leaves the tank, how many minutes will it take for both faucets running simultaneously at their respective rates to fill the empty tank?

Give your answer as a decimal.
A tank initially contains g gallons of water. Beginning at 1 o'clock in the afternoon, water flows into the top of the tank at a constant rate of x gallons per minute and out of the bottom of the tank at a constant rate of y gallons per minute. If x < y, in how many minutes after 1 o'clock in the afternoon is the volume of water in the tank equal to $$\frac{1}{2}$$g, in terms of g, x, and y ?
A large pump and a small pump are available to fill a public fountain with 7,500 gallons of water. The pumps can be used alone or simultaneously. Working alone at their respective constant rates, the small pump would take 1.6 times as long as the large pump to fill the fountain. Working simultaneously at their respective constant rates, the two pumps would take 3 hours to fill the fountain. How long would the small pump take to fill the fountain, working alone at its constant rate?

_____hours


Tickets for a carnival are sold either individually or in packages of 10 tickets or 20 tickets at the costs shown in the table. A group of friends bought n tickets for the least possible total cost. A second group of friends bought more than n tickets for a total cost that was less than the first group`s total cost. Which of the following could be the value of n?

Indicate all such values.
The sum of n numbers is greater than 48. If the average (arithmetic mean) of the n numbers is 1.2, what is the least possible value of n?
x≠0

y≠0

x+y≠0

Quantity A

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

Quantity B

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


(3.8*$$6^{25}$$) - (0.24*$$6^{26}$$) =
n is an integer.

Quantity A

$$(\frac{2}{3})^{n}$$$$(\frac{3}{2})^{-n}$$

Quantity B

1


If 4 < a < 16, and 8 < b < 27

Quantity A

$$\frac{\sqrt{a}}{\sqrt[3]{b}}$$

Quantity B

1


3x-2k=7

9x-6k=21

Quantity A

x

Quantity B

k




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