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题目内容
In an appliance store, the ratio of the number of radios in stock to the number of television sets in stock is 0.4. Exactly 10 radios and x television sets are added to the appliances in stock, and the ratio of radios to television sets in stock remains at 0.4.

Quantity A

x

Quantity B

30


y is a positive even integer.

Quantity A

x+y

Quantity B

x+1


For all x, $$x^{2}+4x-12 = (x-r)(x+s)$$, where r > 0 and s > 0.

Quantity A

r

Quantity B

s


x and y are integers and 0 < x < y.

Quantity A

$$x^{y}$$

Quantity B

$$y^{x}$$




O is the center of the circle, and OA = BC.

Quantity A

The measure of angle ABC

Quantity B

60°






List L: 84, 73, 87, 88, 75, 90

The standard deviation of the numbers in list L is s. List M consists of 6 different numbers, each of which is obtained by adding 9 to one of the numbers in list L. The standard deviation of the numbers in list M is t.

Quantity A

s+3

Quantity B

t


Two sides of a right triangle have lengths of 5 and 10, respectively.

Quantity A

The length of the third side of the triangle

Quantity B

11




$$\frac{2+\frac{1}{2})^{4}-2^{4}}{(2+\frac{1}{2})^{2}+2^{2}}$$=
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


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