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In the figure above, what is the area of ΔOAB?
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Water enters a vat, whose capacity is 60 liters, through a faucet at the top and leaves the vat through a drain at the bottom. If the vat is empty, the drain is open, and water starts to flow through the faucet at a constant rate of 5 liters per minute, it takes exactly 50 minutes until the vat is full. At what rate, in liters per minute, is water flowing through the drain?

_____liters per minute
The price of a quart of milk was increased by 20%. How many quarts of milk can be purchased for the amount of money that used to buy 30 quarts of milk?
Last year Leo bought two paintings. This year he sold them for $2,000 each. On one, he made a 25% profit, and on the other he had a 25% loss. What was his net loss or profit?
If c and d are odd positive integers, which of the following could be odd? Indicate all such expressions.
Let P and Q be points which are two inches apart, and let A be the area, in square inches, of a circle which passes through P and Q. Which of the following is the set of all possible values of A.
If the total surface area of a cube is 864, what is the volume of the cube?

_____
x>1;y>0

Quantity A

$$y^{x}$$

Quantity B

$$y^{x}+1$$


∠A=45°

Quantity A

CD

Quantity B

DB


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Quantity A

A diagonal of a cube with edge 5

Quantity B

A diagonal of a rectangular prism with sides 3, 4, and 5


a, b, and c are the lengths of the sides of a triangle.

Quantity A

2b

Quantity B

a+b+c


$$(\frac{x}{y})=(\frac{z}{4})$$

x, y, and z are positive

Quantity A

6x

Quantity B

2yz


$$(\frac{1}{x})>\frac{1}{x^{2}},x\neq0$$

Quantity A

x

Quantity B

$$\frac{1}{4}$$


★b=b+2 and $$vb=\frac{b^{2}+1}{b}$$

Quantity A

u(★3)

Quantity B

★(u3)


In a certain college, the ratio of freshmen to sophomores is 1:3.

The ratio of sophomores to juniors is 3:5.

Quantity A

The ratio of freshmen to juniors

Quantity B

0.3


From 7 boys and 4 girls, how many different committees can be selected consisting of 3 boys and 2 girls?
If x>0 and $$x^2+6x+6=22$$, what is the value of x+3?

_____
In a class of 50 students, 18 play basketball, 22 play soccer, and 2 play both basketball and soccer. How many students in the class do not play either basketball or soccer?
If $$y>x^2-1 and x^2>y-1$$, which of the following is a solution to both inequalities?

Indicate all possible choices.
A standard deck of 52 cards is shuffled and one card is drawn.

What is the probability that the card is an ace or a face card?
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