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The parallel sides (bases) of trapezoid RSTU have lengths 3 and 9, and the nonparallel sides have lengths 4 and 6, as shown in the figure. Line segment AB (not shown) is parallel to the two bases of RSTU with point A on side RS and point B on side TU. If AB divides the trapezoid into two trapezoids having equal perimeters, what is the sum of the lengths of the nonparallel sides of trapezoid RABU?
Which of the following double inequalities involving $$\sqrt[3]{0.8}$$ is true?
For how many of the five response categories in the table was the number of responses less than 750?
27 < |$$x^{3}$$| < 125

Quantity A

x

Quantity B

4


The median value for a sample of 7 numbers is 50.

The median value for a sample of 9 numbers is 52.

Quantity A

The median value for the combined sample of the 16 numbers

Quantity B

51




The probability that each toss of a certain coin will result in heads is 0.5. If the probability that n tosses of the coin will each result in heads is greater than 0.0002, what is the greatest possible value of n?
What fraction of all the integers between 1 and 2,000, inclusive, are squares of an integer?

Give your answer as a fraction.


Of the employees in the 2001 workforce who were hired in 1997, 40 percent were hired to fill positions in a new subdivision of Company I. Approximately how many of the employees in the 2001 workforce were hired in 1997 to fill positions in the new subdivision?


ABCD is a square, as shown above.

Quantity A

$$\frac{BC+CD}{BD}$$

Quantity B

2


A candy shop owner decides to create a mixed assortment of candies by mixing two kinds of candies. One kind costs the owner 90 cents per pound, while another costs the owner 70 cents per pound. If the mixed assortment of candies costs the owner 85 cents per pound, and 30 pounds of 90 cents kind is used in the process, then what is the total pounds of mixed candies that can be created?
x > y > z

Quantity A

xy

Quantity B

yz


z > 140



Quantity A

y-x

Quantity B

10


There is an octahedral (8-faces) die whose faces each have one different number from the set {1, 2, 3, 4, 5, 6, 7, 8}. The die is rolled twice, and the number appearing on top after the first roll is recorded as the x-coordinate of a point A, while the number appearing on top after the second roll is recorded as the y-coordinate of the point A. What is the total number of all the possible points A that can be created?
Last week painter A started a job on Tuesday, completing $$\frac{1}{5}$$ of the job that day, and on Wednesday another printer B completed $$\frac{1}{6}$$ of the job that remained.

Quantity A

The fraction of the job that was not completed by the end of the day last Wednesday

Quantity B

$$\frac{2}{3}$$


0 < s < t

Quantity A

$$\frac{s}{t}$$+0.4

Quantity B

$$\frac{5s+2t}{5t}$$


The average (arithmetic mean) of the 4 integers q, r, s, and t is 0.

Quantity A

The average of the 4 integers q+10, r, s, and t

Quantity B

The average of the 5 integers q, r, s, t, and 10




Point O and point X are the centers of the two circles in the figure. If the length of arc PSX is 6π, what is the circumference of the circle with center O?


The design shown in the figure consists of squares and is created in several steps. In the first step, a square measuring 1 inch on each side is drawn. In the second step, a 1-inch-wide border is drawn around the square, creating a larger square. In each subsequent step, a 1-inch-wide border is drawn around the largest existing square. What is the number of steps that will be needed in order to create a design in which the largest existing square measures 47 inches on each side?

_____ steps
If $$n$$, $$k$$, and $$r$$ are positive integers such that $$n^{k}=10r+3$$, which of the following could be the value of $$n$$?
If Laplace's nebular theory were correct, it can most reasonably be assumed that

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