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题目内容
How many ordered paris $$(x, y)$$, where both $$x$$ and $$y$$ are integers, are solutions of the equation $$x^2+y^2=5$$?
Bucket $$Q$$ currently contains $$5$$ times as much water as bucket $$R$$ contains. If $$10$$ liters of water will be transferred from $$Q$$ to $$R$$, then $$Q$$ will contain $$2$$ times as much water as $$R$$ will contain. How many liters of water does $$Q$$ currently contain?
List $$C$$: $$\frac{1}{2}, \frac{1}{4}, \frac{1}{8}$$
List $$D$$: $$(\frac{1}{2})^2, (\frac{1}{4})^2, (\frac{1}{8})^2$$
The range of the numbers in list $$C$$ is $$r$$, and the range of the numbers in list $$D$$ is $$t$$. If $$r = kt$$, what is the value of $$k$$?
if $$\frac{x+2}{x-3} = \frac{x+1}{x}$$, where $$x \neq 0$$ and $$x \neq 3$$, what is the value of $$x$$?
Give your answer as a fraction


The perimeter of equilateral pentagon $$ABCDE$$ is twice the perimeter of equilateral triangle $$RST$$.

Quantity A

The length of one side of pentagon $$ABCDE$$

Quantity B

The length of one side of triangle $$RST$$
$$xy \lt 0$$
$$yz \lt 0$$

Quantity A

$$xz$$

Quantity B

$$0$$
A speed of m miles per hour $$(m \gt 0)$$ is equivalent to a speed of $$f$$ feet per second. ($$1$$ mile = $$5,280$$ feet)

Quantity A

$$m$$

Quantity B

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


If the tank tips over so that it rests on one of the $$25$$-inch by $$40$$-inch faces, what will be the depth of the water in the tank?
The number of cases in which of the following case categories was closest to $$\frac{1}{8}$$ of the total number of cases for 1994?
In which of the following two categories was the combined total number of cases handled closest to $$20,000$$?
If Legal Services' average cost per case for family matters was twice the average cost per case for housing matters, then the ratio of Legal Services' total cost for family matter cases to Legal Services' total cost for housing matter cases was closest to
The line in the xy-plane shown is the graph of $$y = -2x+6$$. What is the value of $$a+b$$?
Of the children in a classroom, $$6$$ have $$2$$ pens and $$1$$ pencil each and the rest have $$1$$ pen and $$3$$ pencils each. If the children in the classroom have a total of $$2$$ more pencils than pens, how many of the children have $$1$$ pen and $$3$$ pencils each?
$$x$$ and $$y$$ are integers.
$$x \gt 5$$
$$-10 \lt y \lt -5$$

Quantity A

The greatest possible value of the product $$xy$$

Quantity B

$$-36$$
Of the $$10,000$$ people in City $$N$$ who travel to work by bus, car, or subway, $$4,000$$ people travel to work by bus, $$2,000$$ people travel by car, and $$6,000$$ travel by subway. The least possible number of people traveling to work by bus only is $$X$$.

Quantity A

$$X$$

Quantity B

$$2,000$$
In the xy-coordinate plane, $$P$$ is a point that is equidistant from points $$(3,0)$$ and $$(3,4)$$.

Quantity A

The x-coordinate of $$P$$

Quantity B

$$2$$
$$a \lt -4 \lt b \lt c \lt -3 \lt 0 \lt 2 \lt d \lt 3$$
Given the compound inequality above, which of the following statements is true?
A certain town with a population of $$50,000$$ uses an average of $$5,000,000$$ gallons of water per day. If the average number of gallons of water used per person per day remained the same and the population of the town increased to $$65,000$$, by how many gallons would the average amount of water used by the town per day increase?
$$2p+t=5h$$
$$p+2t=7h$$
Which of the following represents the average (arithmetic mean) of $$p$$ and $$t$$ in terms of $$h$$?

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