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O is the center of the semicircle.

Quantity A

The perimeter of △ABO

Quantity B

The length of arc BCD


$$3x+2y=8$$

$$x$$ and $$y$$ are integers and $$x \gt y$$.

Quantity A

3x+4y

Quantity B

8






S equals the area of a square region (not shown) with sides of length 2x.

Quantity A

The area of the region enclosed by the pentagon shown

Quantity B

$$\frac{7}{2}S$$


x, y, and z are negative numbers.

Quantity A

x+y+z

Quantity B

$$\frac{1}{x+y+z}$$


One of the incongruities of modern industry, according to Reck and Graedel, is that we manufacture modern products with the most sophisticated technologies available yet generally adopt relatively ____________ approaches to recycling them.
x < y < 0

Quantity A

$$\frac{1}{2}(x+y)$$

Quantity B

$$\frac{1}{2}$$x + y


The area of circular region $$C_1$$ is 4 times the area of circular region $$C_2$$.

Quantity A

The radius of $$C_1$$

Quantity B

Twice the radius of $$C_2$$


The average (arithmetic mean) monthly sales at a certain company for the past $$k$$ months was $$m$$ dollars. Which of the following expressions represents the sales, in dollars, for the current month if the average monthly sales for the $$k+1$$ months will be 10 percent greater than the average monthly sales for the $$k$$ months?
$$2^{-9}$$-$$2^{-10}$$=
a < 0

b < 0

Quantity A

In the xy -plane, the slope of the line containing the points (a, b) and (0, 2)

Quantity B

In the xy -plane, the slope of the line containing the points (a, b) and (2, 0)




Quantity A

The standard deviation of the 3 numbers x, x+1, and x+70

Quantity B

The standard deviation of the 3 numbers x+ 10, x+11, and x+80




There are 25 students in Ms. Ware's class-15 of these students take French, 12 of these students take Spanish, and 8 of these students take Latin. If all 25 students in Ms.Ware's class take at least one of these three language courses, which of the following is the greatest possible number of students in the class who could be taking all three language courses?
The explanation of tornado formation according to which tornadoes form during a twisting clash of air masses is clearly(i)________: such clashes occur very frequently both in the United States and in countries where tornadoes are(ii) ________.
An exercise ball is made from soft elastic that has uniform thickness of 2 millimeters, and the interior of the ball is filled with air. The ball is in the shape of a sphere and has an exterior diameter of 65 centimeters. What is the radius of the interior of the ball, in millimeters?
A realtor sold two storefront properties. The realtor sold one of the properties for a profit of 25 percent of its original purchase price and the other property for a loss of 25 percent of its original purchase price. If the realtor sold each property for $210,000, by what amount did the sum of the original purchase prices of the two properties exceed $420,000?
Research indicates that the habitat ________ commonly observed for meadow voles and prairie voles living in a single ecosystem results primarily from species differences in habitat tolerance, with interspecific competition playing a lesser role.
The author mentions "other resources" primarily in order to
What is the least integer that can be expressed as a product of four different integers, each of which has a value between -5 and 4, inclusive?

Quantity A

The area of triangular region A

Quantity B

The area of triangular region B






In the figure shown, the area of the circular region is approximately 50 percent of the area of the shaded region. The area of the rectangular region is approximately what percent of the area of the circular region?

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