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A certain store sells circular rugs at a constant price per square foot. If a circular rug with diameter 5 feet costs $250, what is the cost of a circular rug with diameter 9 feet?
A company has assets worth $150,000 and liabilities worth $70,000, giving it an asset-to-liability ratio of approximately 2.1. The company will borrow x dollars, and the amount borrowed will be added to both the assets and the liabilities. If the asset-to-liability ratio is to be greater than 1.2 after the money is borrowed, which of the following could be the value of x?

Indicate all such values.


In the xy-plane, the equation of line RS is y = x - 3

Quantity A: The area of triangular region RST

Quantity B:40
x and y are prime numbers

x+y is odd

Quantity A: x

Quantity B:3
When the total cost of 90 dollars for the rental of a van was evenly divided among n passengers, the cost to each passenger was less than 23 dollars.

Quantity A: n

Quantity B:5
Quantity A:$$\frac{1}{5}$$ percent of 59

Quantity B:0.2
(x-3)(x+3)=(2x-1)

Quantity A: x

Quantity B:2
On the number line, P is a point between -3 and -2, Q is a point between -1 and 0, and R is a point between 0 and 1.

Quantity A

The distance between P and Q

Quantity B

The distance between Q and R


The function $$f$$ is defined for all numbers $$x$$ by $$f(x)=57x^2-kx+925$$, where k is a constant, and $$f(x)$$=$$f(-x)$$ for all $$x$$.

Quantity A

k

Quantity B

0


A box manufacturer is designing a closed box in the shape of a rectangular solid. The ratio of the lengths of the sides of the box is 1 to 2 to 3. The total surface area of the box is 550 square inches. What is the volume of the box, in cubic inches?


In square MNOP shown, the two shaded square regions have areas in the ratio 9 to 1. If square region MNOP has area 144, what is the area of each of the two unshaded rectangular regions?


The circle in the xy-plane shown has radius 5 and center O. Line l has a slope of $$\frac{1}{2}$$ and passes through the center of the circle. P is the point in the first quadrant at which l intersects the circle. Which of the following represents the coordinates of point P?
The letters in a certain name can be arranged in exactly 180 different orders. Which of the following could be that name?


A box contains 12 candies of four different flavors. The table above shows the numbers of candies of each flavor. If 2 candies are to be selected at random from the box, without replacement, what is the probability that of the 2 candies selected one will be a caramel candy and the other will be a cherry candy?
Z=$$123^{4}$$-$$123^{3}$$+$$123^{2}$$-123

What is the remainder when Z is divided by 122?
Approximately what percent of the families in the sample own more than 3 motor vehicles?
How many of the families own exactly 2 motor vehicles?
If a family were selected at random from the survey sample, what is the probability that the family would own more than 2 motor vehicles?
If a, b, and c are positive integers such that $$\frac{a}{c}$$=0.075 and $$\frac{b}{c}$$=0.09, what is the least possible value of c?

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