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Quantity A

The measure of angle BCA

Quantity B

45 degrees
The original price of a dress was greater than $60. Maria bought the dress at a sale price that was equal to 80 percent of the original price. The tax Maria paid on the dress was equal to 4 percent of the sale price.

Quantity A

The dollar amount of the tax Maria paid on the dress

Quantity B

3% of the original price of the dress
For each value x in a list of numerical data with mean m, the deviation of x from the mean m is defined as x-m.

List W consists of 25 different values. The mean of the values in W is 10, and one of the values is 39.

Quantity A

The sum of the deviations of x from the mean 10 for all values x in W except the value 39

Quantity B

0
Five distinct positive integers are less than or equal to 20. The sum of the five integers is 87.

Quantity A

The least possible value of the five integers

Quantity B

14

Quantity A

$$\sqrt{32}+\sqrt{38}$$

Quantity B

$$\sqrt{35}+\sqrt{35}$$
A certain pyramid in Egypt has a height of 138.8 meters and a square base with each side of length 230.4 meters. Approximately what is the volume, in millions of cubic meters, of the pyramid? (Note: The volume of a pyramid is $$\frac{Bh}{3}$$, where B is the area of the base and h is the height.)


If 3 different points are to be chosen at random from the 7 points shown on the circle, what is the probability that the 3 points will be the vertices of a triangle?
Set A contains 12 elements, set B contains 15 elements, and set C contains 18 elements. If the set A∪B∪C contains 28 elements, which of the following sets must be non empty?

Indicate all such sets.
According to a certain model, if the purchase price of a car is p dollars and the annual rate of depreciation is r percent, compounded annually, then the value v of the car, in dollars, n years after it was purchased is given by the formula $$v=p(1-\frac{r}{100})^{n}$$. If the value of a car 4 years after it was purchased is $$\frac{3}{4}$$ of the purchase price, approximately what is the annual rate of depreciation?
Regular hexagon H and regular octagon K have equal perimeters. If the length of a side of H exceeds the length of a side of K by 24, what is the length of a side of K?


In 2017, for how many of the programming languages was the number of job postings between $$\frac{1}{9}$$ and $$\frac{1}{3}$$ of the total number of job postings for the programming languages shown?


Which of the following is the best estimate of the greatest percent decrease from 2017 to 2018 in the number of job postings for the programming languages shown?


Based on the information given, which of the following statements are true? Indicate all such statements.
An employee worked for a certain company for 15 years. The employee`s annual salary for the first year was $40,000. The employee`s annual salary for each year after the first year was x dollars greater than the employee`s annual salary for the preceding year. If the total of the employee`s annual salaries for the 15 years combined was $726,000, what is the value of x?

x=_____
Data set P consists of 32 numbers, including the number 15.2. The sum of the numbers in P is 400. If 15.2 is 0.5 standard deviation above the mean of the numbers in P, which of the following could be a number in P that is 1.5 standard deviations below the mean of the numbers in P?
If -2 < a < -1 < b < 0 < c < 1, which of the following statements about the products ab, ac and bc must be true?
A sailmaker made two flat sails, S and T, each in the shape of a trapezoid with a pair of parallel horizontal bases. The bottom bases of the sails have the same length x, where x is 3 times the length of the top base of sail S, and x is 2 times the length of the top base of sail T. The height of sail T is 1.5 times the height of sail S. Both sails were made of material that had a fixed cost per unit area. If the total cost of the material for sail S was $400, what was the total cost of the material for sail T?
A bag contains 32 identically wrapped pieces of candy, of which 7 are mints, 11 are caramels, and the rest are chocolates. If Jill selects pieces of candy at random, what is the least number she must remove from the bag to be sure that she gets a caramel?
The positive integer a is a factor of 96.

Quantity A

a

Quantity B

7

Quantity A

The average (arithmetic mean) of x+y and x-y

Quantity B

x

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