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In the triangle, is y =30, then x =
A veterinarian has 70 clients who own cats, dogs, or both. Of these clients, 36 own cats, including 20 clients who own both cats and dogs. Which of the following statements must be true?

Indicate all such statements.
How many of the age-groups each accounted for more than 15 percent of the total number of occupational injuries in State X in 1998?
In 1998, if one-half of the occupational injuries in the combine 34-and-under age-groups were incurred by men, what was the number of occupational injuries incurred by men in the combined 35-and-over age-groups?
In the rectangular coordinate system, (x,y) is a point on a circle that has center (3,2) and is tangent to the x-axis at (3,0).

Quantity A

The least possible value of x

Quantity B

0


Magdalena took 1 hour to complete a task that had 60 steps. She took 20 minutes to complete the first 30 steps of the task.

Quantity A

The average number of seconds per step that Magdalena took to complete the remaining 30 steps

Quantity B

80


List L consists of the 7 numbers u, -2u, -3u, -4u, -5u, -6u, and -7u, where u≠0.

Quantity A

The median of the 7 numbers in list L

Quantity B

u


a > 0

Quantity A

$$(a+a^{-1})^{2}$$

Quantity B

$$a^{2}$$+$$a^{-2}$$


|2y -5| < 1

Quantity A

y

Quantity B

1


If x postage stamps were divided evenly among 4 boys, each boy would receive y postage stamps. If the x postage stamps were divided evenly among 6 boys, each boy would receive z postage stamps. If y - z =25, what is the value of x?
In the xy-plane, a circle is centered at the point (-4,3) and passes through the origin. What is the area of the circle?


The average (arithmetic mean) of the coordinates of the 7 labeled points on the number line is how much greater or less than the median of the coordinates of the 7 labeled points?
In a neighborhood consisting of 2,000 homes, 80 percent of the homes are valued at $325,000 or less. Which of the following statements about the values of the homes in the neighborhood must be true?

Indicate all such statements.


The thin rectangular sheet of metal shown in the figure is 8 inches wide and x inches long. An open box is to be made by cutting a 2-inch square from each corner of the sheet of metal and then folding up the sides. If the volume of the box is to be 48 cubic inches, what is the value of x ?
From a set of 100 numbers, half were selected to form group I, and 60 percent of the remaining numbers were selected to form group II. The average (arithmetic mean) of the numbers in group I is 24.4, and the average of the numbers in group II is 31.5. Which of the following is closest to the average of the numbers in groups I and II combined?
Which of the following could be the equation of the graph in the xy-plane shown above?

Of the students in a certain group, 22 percent are juniors and 26 percent are seniors.

Quantity A

The ratio of the number of juniors in the group to the number of seniors in the group.

Quantity B

$$\frac{4}{5}$$


n is an integer, and k is not an integer. 0 < k < n < k+2

Quantity A: n

Quantity B: k +1
Which of the following pairs of integers have reciprocals whose sum is either less than $$\frac{1}{3}$$ or greater than $$\frac{1}{2}$$ ?

Indicate all such pairs.
A list consists of 10 positive integers. The sum of the 10 integers is 101. If no integer appears more than twice in the list, what is the greatest possible integer that can appear in the list?

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