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题目内容
On the first day of work for a certain task, $$\frac{1}{3}$$ of the work was completed. On the second day of work for the task, $$\frac{1}{4}$$ of the work that remained was completed. What fraction of all the work for the task remained to be completed after the second day?


Which of the following is closest to the median length of the time periods, in months, during which trees produced pollen in the six regions?


The table above shows the times, in seconds, that it took each of 5 mechanics to perform a simple task. For the 5 times shown, if the median is greater than the average (arithmetic mean), which of the following could be the value of x?

Indicate all such values.

Quantity A

$$89!-88!$$

Quantity B

$$(87!)(88)^{2}$$
A coin collector bought a certain coin for $25, sold it for $35, then bought is back for $45, and finally sold it for $55. What was the gain or loss for the collector on this series of transactions?
The distance from the center of tree A to the center of tree B is 20 feet. The distance from the center of tree A to the center of tree C is 12 feet. The centers of the three trees are not, in a straight line. Which of the following values could be the distance, in feet, from the center of tree B to the center of tree C?

Indicate all such values,
If $$m$$ is the median of fifteen consecutive even integers, then the greatest of these fifteen integers is
If $$r$$ and $$s$$ are positive integers, which of the following is equal to $$r$$ percent of $$s$$ percent of $$200$$?
By the end of the 1970s, the postmodern novel had degenerated from a bold attempt to (i)____________ the conventions of traditional narrative into a literary style as (ii)____________ as any other. There are, it seems, (iii)____________ number of ways to avoid telling a straightforward story.
Ralph Cohen, in his 1964 critical history of Thomson's The Seasons, argued nearly half a century ago that illustrations are criticism of the works they illustrate. More recently, critics have fruitfully explored illustrations of the works of Defoe and Sterne. In her study of graphic design and the novel, Janine Barchas has explained the function of illustrations as interpretive guides." Barchas mainly discusses frontispieces, but her point applies to other kinds of illustrations. In the case of Tobias Smollett, illustrations not only indicate what illustrators thought of the novels, but may also reveal how those novels were received by readers. The number and diversity of the images are especially valuable because, as Fred W. Boege long ago demonstrated, we know relatively little about how eighteenth-century readers conceived of Smollett as a novelist. Our understanding of Smollett's reception has improved since Boege's time, but some difficulties in knowing what readers thought of Smollett remain, because recorded responses are scanty. Roderick Random, for instance, did not receive any reviews, since it was published before reviewing contemporary fiction became widespread. And reviews of the other novels consist mainly of large excerpts from the work itself with a few general remarks on how well the characters are conceived. Nor do the few responses we have provide a consistent picture of how Smollett was read. The illustrations, therefore, give us alternative perspectives that can only enrich our understanding of Smollett's reception.
Machines G and H cut sheets of plastic into pieces that are used in car manufacturing. Working alone at its constant rate, machine G cuts 10 sheets of plastic in 8 minutes. Working alone at its constant rate, machine H cuts 20 sheets of plastic in 24 minutes. How many minutes does it take machines G and H, working simultaneously at their respective constant rates, to cut a total of 30 sheets of plastic?
For each of the three years 2018, 2019, and 2020, the value of a car at the end of the year was x percent less than its value at the end of the preceding year. If the value of the car was $20,000 at the end of 2017 and $18,400 at the end of 2018, which of the following is closest to the percent decrease in the value of the car from the end of 2018 to the end of 2020?

Quantity A

$$3^{-2}$$

Quantity B

$$0.1$$


$$S$$ equals the area of a square region (not shown) with sides of length $$2x$$.

Quantity A

The area of the region enclosed by the pentagon shown

Quantity B

$$\frac{7}{2}S$$
In the xy-plane, line k has a positive slope and intersects the line y=4-x at a point with x-coordinate 3. Which of the following values could be the y-intercept of k?

Indicate all such values.
In a poll of 200 people who answered either yes or no to each of two questions, 170 people answered yes to the first question and 10 people answered yes to the second question. Which of the following could be the number of people polled who answered no to both questions?

Indicate all such numbers.
The early-nineteenth-century British economy did not experience a rapid and wholesale "industrial revolution," as scholars once claimed. Nevertheless, the more gradual and uneven picture that has emerged at the aggregate level should not disguise the fact that in some regions and industries dramatic discontinuities occurred, creating an economic configuration (and a cultural response) that became very different very quickly. Perhaps paradoxically, the recent scholarly emphasis on gradualism has placed focus on the 1830s as a decade of critical change, when economic development accelerated significantly and a recognizable "industrial" economy first became visible, with many industries and occupations rapidly evolving. Factories and machines did not become ubiquitous, but they became dominant images of the age and a powerful motor for the development of new social identities.
In the xy-plane, the point $$(t, t-1)$$ lies on the line with equation $$y=-\frac{1}{2} x +\frac{1}{3}$$. What is the value of $$t$$?

Give your answer as a fraction.
$$x \lt y \lt 0$$

Quantity A

$$\frac{1}{2}(x+y)$$

Quantity B

$$\frac{1}{2}x + y$$
Ted sold two houses. He sold one of the houses for a profit of 20 percent of its purchase price, and he sold the other house for a loss of 20 percent of its purchase price. If the selling price of each house was $192,000, by what amount did the sum of the purchase prices of the two houses exceed $384,000?

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