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OC is the diameter of the smaller circle, but the radius of the larger circle. O is the center of the larger circle.

Quantity A

The area of the blue region

Quantity B

The sum of the yellow region


Quantity A

-x

Quantity B

-y


The tick marks shown on the number line are evenly spaced. Points D and E have coordinates of $$4^{10}$$ and $$4^{11}$$, respectively. The point that has a coordinate of $$4^{9}$$ is?
On a number line, Point P lies between -3 and -2, Point Q lies between -1 and 0, while Point R lies between 0 and 1.

Quantity A: The distance between point P and point Q

Quantity B: The distance between point Q and point R
How many distinct solutions does the equation |1-|x-215||=1 have?
x≠0, y≠0

|x|+|y|=|x+y|

Which of the following statements must be true?

Indicate all such statements.
|2+k|=|2-k|

Quantity A: k

Quantity B: 0

Quantity A

|$$3+x-x^{2}$$|

Quantity B

|$$x^{2}-x-3$$|
How many x can satisfy the equation | $$x^{2}$$-5x |=1?
f(x)=|x+2|, where -3≤x≤-2, what could be the value of f(x)?

Indicate all such numbers.
If 12 percent of the books in a library are reference books, then the ratio of the number of reference books to the number of nonreference books is closest to which of the following?

Quantity A

The number of tenths equal to 1.4

Quantity B

The number of hundredths equal to 1.3
At first, water accounts for $$\frac{2}{5}$$ of a barrel. Later, 40 gallons of water is removed from the barrel, then the water left only accounts for $$\frac{2}{11}$$ of the barrel. Therefore, how many gallons of water is still needed to fill the barrel?
70% of the employees in a company is lawyer, and 55% of the employees are female. 60% of all the females are lawyer. what is the ratio of male lawyer to all the employees in the company?

Give your answer as a percent.
If x and y are positive and x is 43 percent greater than y, then y must be what percent less than x?

Give your answer to the nearest whole percent.

_____%
z=$$x^{2}$$y, if x decreases by 40%, and y increases by 50%. By what percent will z decrease?
x increases by 10% each year. After increasing by 2 years, the result is 4356, what is the value of x?
The stock price of a certain stock is $6,000 on May $$5^{th}$$. Compared with May $$4^{th}$$, the stock price drops by 8%. The stock price is the same on May$$6^{th}$$ and May $$4^{th}$$. If so, by what percent does the stock price increase from May $$5^{th}$$ to May $$6^{th}$$?

Give your answer to the nearest tenth.
The interior dimensions of a rectangular tank has a length of 110 centimeters, width of 90 centimeters, and height of 270 centimeters. The tank rests on level ground. Based on the assumption that the volume of water increases by 10 percent when it freezes, which of the following is closest to the maximum height, in centimeters, to which the tank can be filled with water so that when the water freezes, the ice would not rise above the top of the tank?
If the price of a product first increased by 30% and then decreased by 30%, then the new price is decreased (or increased) by what percent than the original price? _____%

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