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题目内容
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


In rectangle ABCD, side DC is divided into five equal segments by points P,Q,R and S.

Quantity A

The area of ∆MCQ

Quantity B

The area of ∆NSP
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
$$a \gt 0$$

Quantity A

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

Quantity B

$$a^{2}$$+$$a^{-2}$$
$$|2y -5| \lt 1$$

Quantity A

$$y$$

Quantity B

$$1$$
If r postage stamps were divided evenly among 3 girls, each girl would receive s postage stamps. If the r postage stamps were dividded evenly among 5 girls, each girl would receive t postage stamps. If s-t=48, what is the value of r?
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?
In the xy-plane, the point (t, t-1) lies on the line with equation y = $$ - \frac{1}{2}$$ x +$$\frac{1}{3}$$. What is the value of t?

Give your answer as a fraction.

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