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题目内容
A bag contains only red marbles and blue marbles and contains at least two of each color.

Quantity A

The probability of drawing a red marble after an additional blue marble has been placed in the bag

Quantity B

The probability of drawing a red marble after one of the red marbles has been removed from the bag


For each order of envelopes, a company charges d dollars per box for the first 100 boxes and $$\frac{2d}{3}$$ dollars per box for any boxes in excess of 100. lf the company charges $660 for an order of 250 boxes of envelopes, what is the value of d?

Quantity A

$$w(2x+2y+2z+1)$$

Quantity B

$$2w(x+y+z)$$


If $$p \gt 0$$ and $$q-p=2$$, then $$\frac{q^2-1}{p+1}=$$
$$a \lt b$$

Quantity A

$$b-a$$

Quantity B

$$b+a$$


$$0 \lt3x \lt 2x^2$$

Quantity A

$$x$$

Quantity B

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


In the xy-plane, the slope of line p is $$\frac{1}{2}$$.

Quantity A

The slope of a line that is perpendicular to line p

Quantity B

$$1$$




In the xy-plane, the vertices of triangle RST have coordinates $$(-k, k), (k, 2k)$$, and $$(k+2, k)$$, as shown. What is the area of triangle RST in terms of $$k$$?


If lines $$s$$ and $$t$$ shown are parallel, how many points in the plane of these lines are equidistant from all three lines?


Quantity A

$$x+y$$

Quantity B

$$200$$


Triangle RST is an isosceles triangle, and the degree measure of angle $$S$$ is greater than the degree measure of angle $$R$$.

Quantity A

$$RS$$

Quantity B

$$ST$$


In triangle $$RST$$, the measure of angle R is $$60°$$ and the measure of angle T is $$45°$$. lf p is a point on line segment $$RT$$ such that $$SP⊥RT$$, the length of which of the following line segments is least?


In the figure the small rectangular region represents a flower garden with dimensions $$x$$ feet by $$y$$ feet, and the shaded region between the two rectangles shown represents a walkway 4 feet wide around three sides of the garden. Which of the following represents the area of the walkway, in square feet?


The circle shown has center O and radius 27.

Quantity A

The length of arc RST

Quantity B

$$15π$$




The two circles in the figure shown have a common center at O, the area of the shaded region is 40π, and the measure of angle AOC is $$90°$$.

Quantity A

The circumference of the smaller circle

Quantity B

The length of arc ABC


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