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题目内容
A ball is dropped onto a concrete floor from a height of 50 feet, after which it bounces n times. After each bounce, the ball rebounds to $$\frac{1}{3}$$ of the height from which it has just fallen. To what height does the ball rebound after the nth bounce?
If $$2x -3 = 5y+ 2,$$ then $$x- \frac{5}{2}y$$=
In the freshman class at College X, there are 400 students taking a certain French course and 500 students taking a certain English course. If 200 students in the freshman class are taking both the French course and the English course, how many students in the freshman class are taking the French course or the English course or both?
Sonia went on a 360-mile trip in her car. She drove the first 200 miles in 4 hours, stopped 45 minutes for lunch, and then drove the rest of the way at an average speed of 58 miles per hour. If the total time for the trip includes the lunch stop, what was the total time for the trip?

Give your answer to the nearest tenth of an hour.

_____hours


For how many of the categories shown was the dollar amount of the expenditures in 1995 less than $1 billion?


Approximately what was the ratio of the dollar amount of the expenditures for prescriptions in 1995 to the dollar amount of the expenditures for prescriptions in 1970?


From 1970 to 1995. the dollar amount of expenditures for nursing home care increased by approximately what percent?
A list consists of 24 different positive four-digit integers ordered from least to greatest. Each integer in the list consists of the four digits 6, 7, 8, and 9, without repetitions. If 8,697 is the nth integer in the list, what is the value of n?

n=_____
The surface area of a sphere of radius r is equal to $$4πr^{2}$$. Sphere K has radius k, and sphere N has radius n. If the ratio of the surface area of sphere K to the surface area of sphere N is 9 to 4, what is the ratio of k to n?
At the end of each business day, the owners of Stores X and Y calculate the total daily revenue received that day. For a five-business-day period, the average (arithmetic mean) total daily revenue was $6,000 for Store X and $5,000 for Store Y. Which of the following statements must be true?

Indicate all such statements.
2x + 5 = 3x - 7

Quantity A

2x+4

Quantity B

3x-6
List K consists of 9 positive integers. In list K, the range of the integers is 20, the mode of the integers is 3, and the median of the integers is 7.

Quantity A

The average (arithmetic mean) of the integers in list K

Quantity B

13
x is the radius of a circular region with circumference 14$$\pi$$, and y is the radius of a circular region with area 16$$\pi$$.

Quantity A

x

Quantity B

y
An amount of 10,000 dollars invested for one year at y percent simple annual interest will earn m dollars in interest, where m > 0. An amount of x dollars invested for one year at 2y percent simple annual interest will earn $$\frac{m}{2}$$ dollars in interest.

Quantity A

x

Quantity B

5,000
When the positive integer n is divided by 3, the remainder is 2, and when n is divided by 7, the remainder is 5.

Quantity A

n

Quantity B

29

Quantity A

The length of the fourth side of a quadrilateral if the length of each of the other three sides is 3

Quantity B

3
n is the greatest integer for which $$252^{5}$$ is divisible by $$ 6^{n} $$.

Quantity A

n

Quantity B

10
In a group of 50 students, 15 students enjoy board games and 20 students enjoy video games. Which of the following could be the number of students who enjoy both board games and video games?

Indicate all such numbers.
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?
List L consists of 50 different values. The average (arithmetic mean) of the values in L is 10. List K is created by adding 3 to each value in L. List G is created by multiplying each value in K by 4 and then subtracting 12 from each product. How much greater is the average of the values in G than the average of the values in L?

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