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The solution set of which of the following inequalities is graphed on the number line above?
A safe contains 2 bags of coins and 4 bags of paper money. The total value of the money in the 6 bags is $1,200.

Quantity A

The total value of the money in the bags that contain coins

Quantity B

$401


b=-3

c=6

Quantity A

$$\frac{bc}{b+c}$$

Quantity B

$$\frac{b+c}{bc}$$




The table shows the frequency distribution of the 57 numbers in a list.

Quantity A

The average (arithmetic mean) of the 57 numbers

Quantity B

The median of the 57 numbers


$$\frac{1}{x}$$+$$\frac{1}{y}$$=1

Quantity A

x+y

Quantity B

xy


The operation ⭕️ is defined by a⭕️b=2a+3b for all numbers a and b.

x is a positive number.

Quantity A

(2x) ⭕️(3x)

Quantity B

(3x) ⭕️(2x)




Quantity A

x

Quantity B

25




Quantity A

AC

Quantity B

10


x ≠ 0

Quantity A

$$\frac{x^{2}}{|x|}$$

Quantity B

x


How many three-digit numbers are there of the form 98X, where X is the units digit and the sum of the three digits is divisible by 3?
The sum of 15 consecutive odd integers is k times the median of the 15 integers. What is the value of k?


The stem-and-leaf plot shows the ages, in years, of 30 people. Each age is represented by a stem followed by a leaf in the same row, according to the key. What are we median and range, respectively, of the ages, in years, of the 30 people?
If 2 is a factor of the positive integer p and p is a factor of the positive integer r, which of the following statements must be true?

Indicate all such statements.
A home aquarium in the shape of a rectangular box has an interior base that measures 20 inches by 10 inches. There are 2,400 cubic inches of water in the aquarium when it is filled to 75 percent of its capacity. What is the interior height, in inches, of the aquarium?
The probability that event R will occur is $$\frac{1}{4}$$, and the probability that event S will occur is $$\frac{2}{5}$$. If events R and S are independent, what is the probability that neither of the two events will occur?

Give your answer as a fraction.
Of the 250 students enrolled in a college economics course, 50 percent have never taken an economics course before. If 20 percent of the students in the class are sophomores and 80 percent of the sophomores in the class have never taken an economics course before, how many of the students in the class who have taken an economics course before are not sophomores?
A beaker contained 6 grams of a solution that was 12 percent acid and 88 percent water, by weight. After some water was added to the beaker, the resulting solution was 10 percent acid, by weight. How many grams of water were added to the beaker?
For the sequence 2, x, 7, ........, there is a constant such that each term after the first equals the sum of the preceding term and that constant. What is the value of x?
x is $$\frac{1}{2}$$ of y.

Quantity A

x

Quantity B

y


Quantity A

The sum of the digits of the greatest 4-digit integer that is divisible by 1,000

Quantity B

The sum of the digits of the greatest 3-digit integer that is divisible by 10


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