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The average (arithmetic mean) of three positive numbers is 10. One of the numbers is 12. The product of the other two numbers is 32. What is the greatest of the three numbers?
Which of the following is a prime factor of 1,554? Indicate all possible correct answers.
Aperson walking 3 miles per hour goes from point A to point B in 10 minutes. How many miles is it from point A to point B?
Marie has twice as many brothers as sisters. Her brother Max has the same number of brothers as sisters. How many brothers and sisters are there?
Which of the following could be the sum of 1 + 2 + 3 + ... + n, where n≤10? Indicate all possible correct answers.
There are 65 calories in 4 ounces of a certain type of juice. How many calories are in 28 ounces of the juice?
The perimeter of a rectangle is 80. The difference between the length and width of the rectangle is 20. What is the area of the rectangle?

_____square units
Arectangular solid with length 8, width 4, and height 2 has the same volume as a cube. What is the length of an edge of the cube?

_____
y>0

Quantity A

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

Quantity B

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


n is an integer, and n>2

Quantity A

$$3^{n}$$

Quantity B

$$n^{3}$$


Quantity A

The slope of the line with the equation 3x+4y=7

Quantity B

The slope of the line with the equation 3(x-2)+y=7-6(y+ 4)


Quantity A

The percent decrease from 20 to 16

Quantity B

The percent decrease from 24 to 20


xy = 35

x and y are both positive integers greater than 1.

Quantity A

x+y

Quantity B

3x


Quantity A

The number of distinct diagonals 10 that can be drawn inside a hexagon

Quantity B

10


Quantity A

The length of the hypotenuse of a right triangle with legs of lengths 20 and 15

Quantity B

The length of a diagonal of a rectangle with a length of 24 and a width of 7


Triangle ABC lies in the xy-plane with C at (0, 0), A at (-4, 0), and B at (x, y), where x and y are both negative. The area of triangle ABC is 12.

Quantity A

y

Quantity B

-5


At Best Burgers restaurant, two hamburgers and five bags of French fries cost the same as four hamburgers and two bags of French fries.If a single bag of French fries costs $1.50, what is the cost of two hamburgers?
For every 3,256 widgets produced, exactly 16 are defective. At this rate, how many widgets were produced during a period in which exactly 36 widgets were defective?
If 840 is 21 percent of c, what is 47% of c?
The angles of a triangle are in the ratio 5:6:7. What is the degree measure of the largest angle?

_____degrees

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