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Quantity A

The number of integers n such that -9 < 2n+1 < 15

Quantity B

11


x is a positive integer.

g > 0

Quantity A

$$g^{x}$$+$$\frac{1}{g^{x}}$$

Quantity B

1


The volume of a rectangular solid is 60, and the area of one of its faces is 11.

Quantity A

The surface area of the solid

Quantity B

100


Which of the following best represents the graph of the equation $$y-5x+4=0$$ in the xy-plane?



Two shaded square regions, including their edges, are shown above in the xy -plane and are labeled I and II, respectively. $$S$$ is the set of all possible slopes of line segments $$PQ$$, where point $$P$$ is in region I and point $$Q$$ is in region II.

Quantity A

The greatest member of set $$S$$

Quantity B

$$\frac{4}{3}$$




Lines k and l lie in the xy-plane and are parallel.

Quantity A

a

Quantity B

b


Of the following, which graph best represents a shaded region in which every point $$(x, y)$$ satisfies the inequality $$y ≤ |x|$$?


Quantity A

The length of line segment AB

Quantity B

The length of line segment DC




Quantity A

y

Quantity B

115




The figure above shows a ceramic tile in the shape of an equilateral triangle with sides of length 12 inches. Parts of the tile are gray, as represented by the shaded regions, and the rest of the tile is white. The equilateral triangle in the middle of the tile has sides of length 9 inches and consists of nine congruent equilateral triangles. What fraction of the area of the tile is gray?


In the figure above, if square ABCD has a perimeter of 24, then x=?
Two line segments of equal length bisect each other.

Quantity A

The number of circles that pass through at least three of the four endpoints

Quantity B

2


Parallelogram ABCD has adjacent sides of length 10 and 16.

Quantity A

The area of the region enclosed by ABCD

Quantity B

155


The lengths of two diagonals of a parallelogram are 10 and 24, respectively. If the two diagonals are perpendicular to each other, then what is the perimeter of the parallelogram?


A tank in the shape of a right circular cylinder is enclosed by walls and fencing. The figure shows a horizontal cross section of the tank and the enclosure, where the circle representing the tank is tangent to each of the four line segments representing the sides of the enclosure. The lengths of the fencing represented by line segments AD and CD are 17.5 meters and 14.5 meters, respectively, and the length of the wall represented by line segment BC is 7 meters. Approximately what is the circumference of the tank in meters?
A box manufacturer is designing a closed box in the shape of a rectangular solid. The ratio of the lengths of the sides of the box is 1 to 2 to 3. The total surface area of the box is 550 square inches. What is the volume of the box, in cubic inches?
A certain type of storage container is in the shape of a rectangular solid that is 6 meters long, 2 meters wide, and 2.5 meters high. In a container ship, 12 of these storage containers were stacked together face to face to form a large rectangular block that is 12 meters long, 6 meters wide, and 5 meters high. The total surface area of all the container faces that are against other faces is approximately what percent of the surface area of the entire container stack?


The figure shows a wooden toy wheel made by removing a smaller right circular cylinder from a larger right circular cylinder so that the cylinders are centered around the same axis. Line segments BC and AD are diameters of the smaller and larger cylinders, respectively, and line segment EF represents the width of both cylinders. The lengths, in centimeters, of BC, AD, and EF are 3, 7, and 2, respectively. Approximately what is the volume, in cubic centimeters, of the wood contained in the finished wheel?
Approximately what percent of the families in the sample own more than 3 motor vehicles?
How many of the families own exactly 2 motor vehicles?

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