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题目内容
$$y$$ is an integer between $$6,000$$ and $$15,000$$

Quantity A

The thousands digit of $$y$$

Quantity B

$$4$$


A sewing basket contains several pieces of ribbon, each of which is either $$8$$ inches long or $$13$$ inches long. The total length of all of the pieces is $$100$$ inches.

Quantity A

The number of pieces of ribbon in the basket that are $$8$$ inches long

Quantity B

The number of pieces of ribbon in the basket that are $$13$$ inches long


Which of the following is the graph of the inequality $$|x + 1| \leq 3$$ ?


Greg' s income last year was $$$45,000$$. The graph above shows the distribution of his income, by income source. Based on the information given, which of the following statements about his income last year are true?
Indicate all such statements.
In triangle $$ABC$$, point $$D$$ lies on side $$AB$$ so that $$AD$$ is twice as long as $$DB$$. Point $$E$$ lies on side $$BC$$ so that $$DE$$ is parallel to $$AC$$. If the length of $$DE$$ is $$5$$, what is the length of $$AC$$?
Let $$a$$, $$b$$, and $$c$$ be positive integers such that $$x^2 + cx + 16 = (x+a)(x+b)$$ for all values of $$x$$. What is the largest possible value of $$c$$ minus the smallest possible value of $$c$$?
$$x^2 = (x-1)^2$$

Quantity A

$$x$$

Quantity B

$$\frac{1}{4}$$




The circle is inscribed in the square.

Quantity A

The ratio of the area of the circular region to the area of the square region

Quantity B

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




Quantity A

The sum of the distances $$PQ$$ and $$RS$$

Quantity B

$$3x$$


A class of $$20$$ students is divided into $$4$$ groups, and each group has at least $$3$$ students. Which of the following statements must be true?
Indicate all such statements.
$$\frac{1}{5} \lt x \lt \frac{2}{5}$$
$$\frac{2}{5} \lt y \lt \frac{4}{5}$$
Which of the following could be the value of $$\frac{x}{y}$$?
For which of the five zoos was the ratio of the annual budget to the annual attendance the least in 2003?
The current number of acres at Zoo $$D$$ is approximately what percent less than what the total number of acres will be after the zoo completes its planned acquisition?
$$c\times10^k + d\times10^{(k+1)}=$$


The figure shows the width, length, and height of a rectangular solid. Which of the following statements must be true?
Indicate all such statements.
Helen plays a game at an amusement park in which each player can win prizes valued at $$$1$$, $$$5$$ or $$$10$$. If she plays the game 3 times and wins a prize at least twice, which of the following could be the total value of the prizes won?
Indicate all such values.
A car traveled at an average speed of $$45$$ miles per hour for $$1$$ hour, at an average speed of $$60$$ miles per hour for the next $$\frac{1}{2}$$ hour, and then at an average speed of $$50$$ miles per hour for another $$\frac{1}{2}$$ hour. What was the car's average speed, in miles per hour, for the $$2$$ hours?
If $$a=\frac{b}{6}$$ and $$a =2-c$$, then in terms of $$a$$, what is the value of $$b+c$$ ?


In the rectangular coordinate system above, if $$(6, 5)$$ is the midpoint of $$OP$$, what is the area of triangular region $$OPQ$$?

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