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题目内容
At a farmers market, the price of peanuts ranges from $2 to $3 per pound and the price of cashews ranges from $4 to $5 per pound. Which of the following represents the least possible price, in dollars, of 6 pounds of the two kinds of nuts, of which p pounds are peanuts and the rest are cashews?
The function f is defined for all integers n greater than 2 by f(n)=(1)(2)(3)...(n-2). That is, f(n) is the product of the first n-2 positive integers. What is the value of $$\frac{f(9)}{f(8)}$$?
In the xy-plane, a line that has a slope of -3 passes through the points (3, k) and (-2, m).

Quantity A

k-m

Quantity B

-15

Quantity A

The distance between point (5, 5) and the origin

Quantity B

The distance between point (4, 6) and the origin


In quadrilateral QRST, the length of RS is less than the length of QT, and RS is parallel to QT.

Quantity A

The length of QR

Quantity B

The length of ST
Two line segments of equal length bisect each other.

Quantity A

The number of circles that pass through at least three of the four endpoints

Quantity B

2
In the ceiling of a room, an opening was cut in the shape of a square with sides that are 1 foot in length. A circular fixture will be placed over the opening. If the circular fixture covers the square opening completely, which of the following could be the diameter of the circular fixture. in inches? (Note: 1 foot = 12 inches)

Indicate all such diameters.
Between two concentric circles, one with radius r and another with radius (r+2)

Quantity A

The area of the smaller circle with radius r

Quantity B

The area of the region between these two concentric circles


The figure shows square ABCD inscribed in a circle. What is the ratio of arc ABC to the sum of lengths of line segments AB, BD and CD?
The larger of two right circular cylindrical containers has an inside radius of 3 inches, and the smaller has an inside radius of 1.5 inches; each of the containers has an inside height of 10 inches. If the smaller container were filled with water until the depth of the water was 9 inches, and then its water were poured into the empty larger container, what would be the depth of the water, in inches, in the larger container?


The figure shows a wooden toy wheel made by removing a smaller right circular cylinder from a larger right circular cylinder so that the cylinders are centered around the same axis. Line segments BC and AD are diameters of the smaller and larger cylinders, respectively, and line segment EF represents the width of both cylinders. The lengths, in centimeters, of BC, AD, and EF are 3, 7, and 2, respectively. Approximately what is the volume, in cubic centimeters, of the wood contained in the finished wheel?
Twenty-five out of 48 employees salaries of Business Y are less than $38,500 per year.

Quantity A

The median salary for the 48 employees at Business Y

Quantity B

$38,000
Larry and Tony work for different companies. Larry`s salary is the $$90^{th}$$ percentile of the salaries in his company, and Tony`s salary is the $$70^{th}$$ percentile of the salaries in his company.

Which of the following statements individually provide(s) sufficient additional information to conclude that Larry`s salary is higher than Tony`s salary?

Indicate all such statements.
The sum of the first n positive integers can be found using the formula $$\frac{n(n+1)}{2}$$.

The sum of the first n positive odd integers can be found using the formula $$(\frac{s}{2})^2$$, where s is the sum of the first and last odd integer.

If x is equal to the sum of the integers from 1 to 100, and if y is equal to $$\frac{1}{2}$$ of the sum of the odd integers from 1 to 199, what is the value of x-y?
In a university, a certain committee consists of 6 faculty members, 4 administrators and 3 students. A subcommittee of 5 members will be selected from the committee. Professor Smith, who is one of the 6 faculty members, and Ms. Wilson, who is one of the 4 administrators must be on the subcommittee. The other 3 subcommittee members will be selected at random from the rest of the committee. How many different 5-member subcommittees can be selected?
Although critics and curators have placed Romare Bearden in any number of contexts-with collage artists, with Black Atlantic artists, among American Abstractionists, or with artists from the Civil Rights era-he (i) ___________ the (ii) ___________ of the conventional art world.
Despite dogs` talent for detecting those high-pitched whistles that are inaudible to us, dogs` ability to locate sounds is _________ compared with ours.
Far from ___________ innovation, as the patent system was designed to do, the patenting of concepts such as gene sequences gives individuals and corporations a legal choke to hold over ideas that should be useful to all.
Journal editors note that the peer review process has difficulty detecting _______________: deliberate misinformation, if it is clever enough, might sail right through no matter how scrupulous the reviews.
The theater presented directors and designers with a remarkably (i)________ space, since the placement of the stage and of the audience could be (ii)_________ the needs of the production. And though audiences were sometimes unsettled when they found themselves thrust into the midst of the action, on balance they saw this as adding to the (iii)__________ of the performance.

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