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题目内容
A bag contains 8 pounds of nuts, and $$\frac{1}{3}$$ of the nuts, by weight, are walnuts. If 3 pounds of walnuts are added to the bag, what will be the fraction of the nuts in the bag, by weight, that are walnuts?
In a group of 10 people, the median height is 70 inches, the average(arithmetic mean) height is 70.5 inches, and the range of the heights is 12 inches. If an additional person who is 74 inches tall joins the group, which of the three statistics must change?
How many distinct solutions does the equation |1-|x-215||=1 have?


A large museum window is composed of 14 identical equilateral triangular glass sections, as represented in the figure shown. If the total area of the window is 19 square meters, which of the following is closest to the perimeter, in meters, of the window?
The circumference of circle C is equal to the perimeter of square S.

Quantity A

The ratio of the area enclosed by C to the area enclosed by S

Quantity B

1
Points A, B, and C are on a circle, and line segment AC is a diameter of the circle. If the radius of the circle is 6, by how much does the length of arc ABC exceed the length of diameter AC?

Give your answer to the nearest integer.
An engineer draws two concentric circles on a blueprint. If the diameter of the outer circle is 6 centimeters greater than the diameter of the inner circle, how much greater, in centimeters, is the circumference of the outer circle than the circumference of the inner circle?
If a sphere is inscribed in a cube, what is the ratio of their volumes (sphere to cube)?
If a cube is inscribed in a sphere whose volume is 36π, what is the volume of the cube?
The recreation director at a local youth club surveyed the members to determine interest in two activities-a hiking trip and a softball game. Of the members surveyed, 60 percent were interested in the hiking trip and 75 percent were interested in the softball game. Of those who were interested in the softball game, $$\frac{2}{3}$$ were also interested in the hiking trip. What percent of the members surveyed were not interested in either of the two activities?
What`s the percentage of water on Earth?

_____ %

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