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题目内容
What is the greatest number that can be expressed as a product of four different integers, where each of the integers is between $$-7$$ and $$6$$, inclusive?
Container $$Q$$ contains exactly $$120$$ balls and container $$R$$ contains exactly $$6$$ balls. The balls in container $$Q$$ are numbered from $$1$$ to $$120$$, respectively, and the balls in container $$R$$ are numbered from $$1$$ to $$6$$, respectively. A ball is to be chosen at random from each of containers $$Q$$ and $$R$$.

Quantity A

The probability that the number of the ball chosen from container $$Q$$ will be divisible by $$2$$ or $$3$$

Quantity B

The probability that the number of the ball chosen from container R will be divisible by $$2$$ or $$3$$

Quantity A

The remainder when $$2^5$$ is divided by $$3^3$$

Quantity B

The remainder when $$2^5$$ is divided by $$3^2$$
$$x$$ and $$y$$ are positive integers, and $$y$$ is odd.

Quantity A

The remainder when $$(x+y)(y+7)$$ is divided by $$2$$

Quantity B

$$1$$
if $$r$$ cannot equal $$1$$ or $$-1$$, then $$\frac{1}{r-1} - \frac{1}{r+1} =$$
A box contains yellow tennis balls and white tennis balls. The number of yellow tennis balls in the box is $$10$$ more than the number of white tennis balls. If $$2$$ of the yellow balls are replaced by $$2$$ white balls, the ratio of the number of yellow balls to the number of white balls will be $$4$$ to $$3$$. What is the total number of tennis balls in the box?
Total number: __________
$$\frac{0.00004}{40,000}=$$
$$|2n-1|+|3t+2|=0$$

Quantity A

$$n$$

Quantity B

$$t$$
$$R \gt 0$$
$$137$$ percent of $$R$$ is equal to $$S$$.

Quantity A

$$0.137R$$

Quantity B

$$S$$
The discounted price of a certain suit is $$20$$ percent less than the original price of the suit. If the discounted of the suit plus a sales tax of $$5$$ percent of the discounted price equals $$ $67.20$$, what was the original price of the suit?
Last week Elaine earned $$ $140$$ working at a store, and an additional $$ $10$$ per hour for making deliveries for the store. She spent $$ $3$$ for gasoline for every $$2$$ hours that she made deliveries. Last week, after deducting the amount she spent for gasoline, Elaine earned $$ $242$$. For how many hours did Elaine make deliveries for the store last week?
______hours


According to the table shown, what is the amount of income tax owed by a person whose income was $$ $54,800$$ in year $$X$$?
The weekly sales commission at Company $$X$$ is $$2$$ percent of the first $$ $2,000$$ of weekly sales plus $$15$$ percent of the weekly sales in excess of the first $$ $2,000$$. The weekly sales commission at Company $$Y$$ is $$5$$ percent of the first $$ $2,000$$ of weekly sales plus $$10$$ percent of the weekly sales in excess of the first $$ $2,000$$. In a given week, what is the amount of weekly sales at Company $$Y$$ that would earn the same weekly sales commission as $$ $5,000$$ in weekly sales at Company $$X$$?
Investors $$X$$ and $$Y$$ each invested a principal of $$ $10,000$$ at simple annual interest rates for one year. At the end of the first year, both investors added the interest to the principal and reinvested the sum for one year, also at simple annual interest rates.

Quantity A

The total interest earned on the investment by Investor $$X$$ at a rate of $$10$$ percent the first year and $$6$$ percent the second year

Quantity B

The total interest earned on the investment by Investor $$Y$$ at a rate of $$6$$ percent the first year and $$10$$ percent the second year
$$Z$$ dollars invested for one year at a simple interest rate of $$x$$ percent will earn $$20$$ dollars in interest.
$$Y$$ dollars invested for one year at a simple interest rate of $$\frac{x}{2}$$ percent will earn $$40$$ dollars in interest.

Quantity A

$$Y$$

Quantity B

$$4Z$$
A total of $$ $36,000$$ was invested for one month in a new money market account that paid simple annual interest at the rate of $$r$$ percent. If the investment earned $$ $360$$ in interest for the month, what is the value of $$r$$?
A total of $$ $24,000$$ was invested for one month in a new money market account that paid simple annual interest at the rate of $$r$$ percent. If the investment earned $$ $180$$ in interest for the month, what is the value of $$r$$?
Tanya deposited money for one year in each of two different accounts, $$A$$ and $$B$$. Account $$A$$ paid $$x$$ percent simple annual interest, and account $$B$$ paid $$2x$$ percent simple annual interest, where $$x \gt 0$$. The amount deposited in account $$A$$ earned $$d$$ dollars in interest, and the amount deposited in account $$B$$ earned $$2d$$ dollars in interest.

Quantity A

The amount deposited in account A

Quantity B

The amount deposited in account B
Irene had $$ $20,000$$ in savings. She used some of her savings to purchase a computer. Of the amount remaining, she invested $$40$$ percent at $$6$$ percent simple annual interest and the rest at $$10$$ percent simple annual interest. If Irene's income from the interest totaled $$ $1260$$ for the first year, how much of her savings did she use to purchase the computer?

Quantity A

The amount of interest earned in a $$1$$-year period on $$$100$$ invested at an interest rate of $$6$$ percent compounded annually

Quantity B

The amount of interest earned in a $$2$$-year period on $$$100$$ invested at an interest rate of $$3$$ percent compounded annually

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