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It is rare for a prominent member of the company to leave without some ____. Smith, who resigned with civility, is an exception.
The discounted price of a certain suit is 20 percent less than the original price of the suit. If the discounted price of the suit plus a sales tax of 5 percent of the discounted price equals $67.20, what was the original price of the suit?
$$a \gt 0$$

Quantity A

$$(a+a^{-1})^{2}$$

Quantity B

$$a^{2}$$+$$a^{-2}$$


The width and the length of a rectangular piece of plywood are 4 feet and 8 feet, respectively. Along one edge of the plywood, a strip $$x$$ inches wide and 8 feet long is removed. Then, along an edge perpendicular to the 8-foot edge, a strip $$x$$ inches wide is removed. For what value of $$x$$ will the remaining rectangular piece have width and length in the ratio of 2 to 5? (1 foot = 12 inches)
A rectangular solid P has height $$2c$$ and a base of width $$a$$ and length $$b$$. Two other rectangular solids, $$Q$$ and $$R$$, each have height c and bases of width $$a$$ and length $$b$$. Which of the following represents the amount by which the sum of the surface areas of $$Q$$ and $$R$$ exceeds the surface areas of $$P$$?
A certain bag contains red balls, green balls, and blue balls and no other balls. The ratio of the number of red balls to the number of blue balls is 2:3, and the ratio of the number of blue balls to the number of green balls is 4:3. The number of blue balls in the bag is what fraction of the total number of balls in the bag?
For each year, the total typical travel time is the sum of the typical time for the morning commuting hours and the typical time for the evening commuting hours. According to the data, which of the following years had the greatest increase in the total typical travel time from the preceding year' s total?
The typical travel time during the morning commuting hours decreased by approximately what percent from 1986 to 1988?
During the morning commuting hours in 1987, what was the average speed, in miles per hour, of a car that traveled the 10 miles on Road H if the car took the typical amount of time to travel the 10 miles?
A coffee shop sells its own brand of ground coffee packaged in two sizes-small and large. The small size is priced at $$k$$ dollars per package, and the large size is priced at $$m$$ dollars per package. If the total price of $$4$$ packages of the coffee is $30, which of the following could be the values of $$k$$ and $$m$$?

Indicate all such values.
The units digit of a positive integer n is 8

Quantity A

The units digit of 3n

Quantity B

The units digit of $$n^{3}$$


Let $$S_8$$ represents the set of integers from $$1$$ to $$8$$, and let $$S_9$$ represents the set of integers from $$1$$ to $$9$$.

Quantity A

The number of the subsets of $$S_8$$

Quantity B

The number of the subsets of $$S_9$$ that contain the integer $$9$$


In a group of 150 people, 40 percent are older than 60 years and 80 percent are employed.Which of the following could be the number of people who are both employed and older than 60 years?
Indicate all such numbers.
The operation @ is defined for all numbers $$x$$ and $$y$$ by the equation $$x@y=x^2+y$$.

Quantity A

($$\frac{2}{3}$$@$$\frac{2}{3}$$)@$$\frac{2}{3}$$

Quantity B

$$\frac{2}{3}$$@($$\frac{2}{3}$$@$$\frac{2}{3}$$)


A line in the xy-plane has the equation $$y=mx+6$$, where $$m$$ is a constant and $$3 \leq m \leq 4$$. Which of the following could be the x-intercept of the line?

Indicate all such values.
The area of square S is twice the area of square T.

Quantity A

The length of a diagonal of square T

Quantity B

The length of a side of square S



The hexagon is both equilateral and equiangular.

Quantity A

$$P$$

Quantity B

$$Q$$




The tick marks shown on the number line are evenly spaced. Points D and E have coordinates of $$4^{10}$$ and $$4^{11}$$, respectively. The point that has a coordinate of $$4^{9}$$ is?
List R={x, y, z, 2.7, 3.8, 5.5}

List S={x, y, z, -2.7, -3.8, -5.5}

If the average (arithmetic mean) of the 6 numbers in list R is r and the average of the 6 numbers in list S is s, then r-s is the average of which of the following lists?

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