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题目内容
A storage facility rents units of two sizes, small and large. Each small unit has a capacity of 800 cubic feet and a monthly rental fee of $95. Each large unit has a capacity of 2,000 cubic feet and a monthly rental fee of $200. The total of the capacities of all the units is 98,400 cubic feet. For a month in which all the units are rented, the total of the monthly rental fees for all the units is $10,560. What is the total number of units that the storage facility has?

Quantity A

x

Quantity B

112


x=4+c

y=4x+c

The average (arithmetic mean) of x and y is 17.

Quantity A

c

Quantity B

3


$$l_{1}$$∥$$l_{2}$$



Quantity A

m

Quantity B

130


In a geometric sequence with $$100$$ terms, the first term is positive and each term after the first term is equal to $$r$$ times the preceding term, where $$r \gt 2$$.

Quantity A

The sum of the first $$99$$ terms of the sequence

Quantity B

The last term of the sequence


Let x and y be positive integers such that when y is divided by x, the remainder is 4, and when y+10 is divided by x, the remainder is 2. Which of the following must be an integer?
A right triangle has sides of length 2, 5, and $$x$$. A second right triangle has sides of length 4, 7, and $$y$$. A third right triangle has sides of length $$x$$, $$y$$, and $$n$$. Which of the following could be the value of $$n$$?
Which of the following points lie(s) inside the region expressed by $$y \geq -2x+1$$?

Indicate all such points?
Line k: y=mx (m≠0)

Line l is perpendicular to line k and passes through point (1, m).

Which of the following could be the x-intercept of line l?

Indicate all such points.
From X to Z, A and B have different choices of routes. A goes directly from X to Z at an average speed of 20mile/h for 10 miles, while B starts first from X to Y at an average speed of 20mile/h for 7miles, and then from Y to Z at an average speed of 30mile/h for 4miles. What is the minimum minutes from X to Z between A and B?
In a store, $$\frac{2}{3}$$ of the employers take care of the customers and $$\frac{1}{5}$$ of the employers wash dishes. What is the proportion of employers who do not take care of the customers or wash dishes?
In a list of 9 integers, the median is 1, the mean is 0, the only mode is 2, and the greatest is 3.

Quantity A

The least possible range of the 9 integers

Quantity B

5


There are two equilateral parallelogram P and Q. The perimeter of Q is twice as that of P. Both P and Q have a diagonal of 6, and the other diagonal of P is 8. Which of the following is the length of the other diagonal of Q?


The circumference of a circle with radius 3 is divided into 4 arcs of lengths x, y, z, and w, as shown.

Quantity A

The average (arithmetic mean) of x, y, z, w

Quantity B


The expression $$x^{4}+2x^{2}y^{2}+9y^{4}$$ is equivalent to which of the following?
a=3+|x-4| (-2 ≤ x ≤ 5)

What is the positive difference between the greatest and least value of a?
Set A={1, 5, 9, 13, 10}

Set B={1, 5, 9, 13, 9}

Set C={1, 5, 9, 13, 7}

Set D={1, 5, 9, 13, 5}

Which of the following statement illustrates the exact order of standard deviation of these sets of numbers from the lowest to the greatest?

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