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Quantity A

$$(\frac{2^{3}}{3^{2}})^{4}$$

Quantity B

$$(\frac{2^{-3}}{3^{-2}})^{-4}$$




The two circles have centers at B and C, respectively, and are mutually tangent. Each circle has radius r.

Quantity A

The perimeter of quadrilateral ABCD

Quantity B

8r


Three lamps had the same original price,but they were sold at different selling prices: A, B,and C.

Selling price A was obtained by applying a 75 percent discount to the original price.

Selling price B was obtained by applying a 50 percent discount to the original price and then applying a 25 percent discount to the discounted price.

Selling price C was obtained by applying a 60 percent discount to the original price and then applying a 15 percent discount to the discounted price.

Which of the following shows A,B,and C listed in order from least to greatest?
Of 50 people surveyed, 32 people reported that they own a dog and the rest reported that they do not own a dog. Of the same group of people surveyed, 19 people reported that they own a cat and the rest reported that they do not own a cat. If 14 of the people who reported they own a dog also reported they own a cat, how many of the people surveyed reported that they do not own either a dog or a cat?
Of the applicants for a job, 6 percent had a degree in computer science and spoke Russian. If 90 percent of the applicants who had a degree in computer science did not speak Russian, what fraction of all the applicants had a degree in computer science?
At a medical clinic, there are exactly 20 medical personnel-8 doctors and 12 nurses. Of these medical personnel, 9 are men, and 3 of the 9 men are nurses. If a doctor is chosen at random, what is the probability that the doctor chosen will be a woman?
What fraction is equivalent to the repeating decimal $$0.0\grave{1}$$ (1 being repeated)?
If one item is to be randomly selected from the items whose manufacturing cost is greater than $140, what is the probability that the item selected will be one whose manufacturing time is greater than 60 minutes?
$$°C =\frac{5}{9}(°F -32)$$

The formula above can be used to convert temperatures from degrees Fahrenheit(°F) to degrees Celsius (°C), where (°F is a certain temperature expressed in degrees Fahrenheit and °C is the same temperature expressed in degrees Celsius. What was the maximum temperature in Atlanta, in degrees Celsius, rounded to the nearest degree?
If a pair of different cities is chosen at random from the seven cities, which of the following is closest to the probability that in the pair chosen, the city with the higher maximum temperature is also the city with the lower minimal temperature?
In a group of 10 people, exactly 4 are vegetarians. A committee of 3 will be formed by randomly selecting 3 people from the group. How many of the possible 3-member committees would include exactly 2 vegetarian members?
A drawer contains socks, of which 6 are white, 7 are red, and 10 are blue. Susan will randomly select socks from the drawer, one at a time and without replacement. What is the least number of socks that Susan must select in order to ensure that 2 of the socks selected are blue?


In the xy-plane shown, the x-axis represents an east-west road, the y -axis represents a north-south road, and the origin represents the intersection of the two roads. Point A and point B represent the centers of Town A and Town B, respectively, and the center of Town A is 5 kilometers north of the intersection. If the line through the origin and point B has slope $$\frac{3}{4}$$, which of the following is closest to the distance, in kilometers, between the centers of Town A and Town B?

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