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题目内容
The number of different subsets of 4 elements that can be selected from a set of 6 elements is 15. How many more different subsets of 4 elements can be selected from a set of 8 elements than from a set of 6 elements?
There are 8 marbles in a box, and each marble is either green or yellow. One marble is to be chosen at random from the box, without replacement, and then another marble is to be chosen at random from the box. If the first marble chosen is green, then the probability that the second marble chosen will be green is $$\frac{2}{7}$$.

Quantity A

The probability that the second marble chosen will be yellow given that the first marble chosen is yellow

Quantity B

$$\frac{4}{7}$$


$$x=1-t$$ $$y=1- t/2$$ $$z=1-\sqrt{t}$$ $$If 0 \lt t \lt 1$$, which of the following inequalities correctly orders $$x$$, $$y$$, and $$z$$?
Ken has four bills in his wallet that are worth $1, $5, $10, and $20, respectively. How many different sums of money are possible in which one or more of these bills are used?
Indicate all such sums.
$$x \lt y$$ $$x$$ and $$y$$ are integers.

Quantity A

The number of integers between x and y, inclusive

Quantity B

$$y-x+1$$


When the integer n is divided by 33, the remainder is 6. Which of the following must be a divisor of n?

Quantity A

The remainder when 23 is divided by 8

Quantity B

The remainder when 23 is divided by 7


$$x$$ is the units digit of the number $$11^{14} - 1$$.

Quantity A

$$x$$

Quantity B

$$1$$


The price of a bag containing 5 pounds of flour is $1.99. (1 pound=16 ounces)

Quantity A

The price per ounce of flour in this bag

Quantity B

$$$0.03$$


Quantity A

$$-n+2$$

Quantity B

$$4$$




On the number line shown, $$Q$$ is the midpoint of line segment $$PS$$, $$QR=9$$, and $$RS=16$$. What number corresponds to point $$P$$?
A certain trunk contains only 6 blankets and 3 pillows. The weight of each blanket is exactly 3 times the weight of each pillow. The trunk alone weighs the same as all the blankets and pillows combined. The weight of the 3 pillows is what fraction of the total weight of the trunk and its contents?
At a certain store, two smartphones, $$A$$ and $$B$$, had the same original price. The price of A in December was 20 percent less than its original price, and its price in January was 20 percent greater than its price in December. The price of B in December was 30 percent less than its original price, and its price in January was 30 percent greater than its price in December. Which of the following statements is true about the prices of A and B in January?
A certain state charges a sales tax of 3 percent on food and a sales tax of 6 percent on clothing. Judy purchased several food items and several clothing items in the state. The total price of the items, excluding the sales tax, was $140, and the total sales tax on the items was less than $5.50. Which of the following could be the price of the clothing items that Judy purchased, excluding the sales tax?
Indicate all such prices.
At a furniture store, the original price of a chair was discounted by 30 percent. A customer purchased the chair at the discounted price and paid a sales tax of 8 percent on the discounted price. If the customer paid a total of $$x$$ dollars for the chair, what was the dollar amount of the original price of the chair, in terms of $$x$$?
An object travels at a speed of 80 kilometers per hour. Which of the following is closest to this object' s speed in miles per second? (1 kilometer equals 0.621 mile, rounded to the nearest thousandth.)
In a 100-milliliter solution, 9 percent of the volume is alcohol and the rest is water. How many milliliters of water must be added to this solution to make a new solution that is 6 percent alcohol?
$$x$$ and $$s$$ are positive.

Quantity A

The amount of money invested for one year at $$\frac{x}{2}$$ percent simple annual interest that will earn $$2s$$ dollars in interest in that year

Quantity B

The amount of money invested for one year at $$x$$ percent simple annual interest that will earn $$s$$ dollars in interest in that year


Which of the following equations does NOT belong to the family of equations of the form $$kx^2=2k^2*y$$, where k is a nonzero integer?
Which of the following is equal to $$\frac{5^9-5^8}{4}$$

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