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The design shown in the figure consists of squares and is created in several steps. In the first step, a square measuring 1 inch on each side is drawn. In the second step, a 1-inch-wide border is drawn around the square, creating a larger square. In each subsequent step, a 1-inch-wide border is drawn around the largest existing square. What is the number of steps that will be needed in order to create a design in which the largest existing square measures 47 inches on each side?

_____ steps
It can be inferred from the passage that members of "feminist consciousness-raising groups"
She was skeptical about the (i)____________reviews of the latest production of the play, feeling that the production she had seen years earlier was (ii)____________, and that any successive attempts must undoubtedly fall short.
A survey conducted by the department of motor vehicles on a sample of 200 car owners revealed that 15 percent of the sample had an expired driver's license, 10 percent had one or more outstanding parking tickets, and 78 percent had neither an expired driver's license nor any outstanding parking tickets. How many car owners in the sample had both an expired driver's license and one or more outstanding parking tickets?


A homeowner wants to pour concrete for a new patio and walkway according to the layout shown above. If the concrete is to be $$\frac{1}{3}$$ foot thick, how many cubic feet of concrete will be needed to form the patio and walkway?
Six identical marbles are to be distributed among 4 cups numbered 1 through 4 so that in the resulting distribution there will be at least one marble in each cup. How many different distributions are possible?
When the positive integer t is divided by 5, the remainder is 3, and when t is divided by 6, the remainder is 2.

Quantity A

t

Quantity B

38


The author's mention of the fact that the ethnographic print texts "existed well before Silko was born" serves primarily to
While other authors surely_______American novelist Toni Morrison's literary style, there really was no precedent for the sorts of books she conceived.
If $$p$$ is an even integer, which of the following must be an odd integer?


The table shows the relative frequency distribution of the numbers in data set B. Which of the following boxplots is a summary of the numbers in data set B?

The author would likely include which of the following evidence in the "facts of chronology"
Of the paperbacks in a private library, 5 percent are biographies. If 3 percent of all the books in the library are paperbacks that are biographies, what percecnt of all the books in the library are paperbacks?
The harmonic mean of two positive numbers is the reciprocal of the average (arithmetic mean) of their reciprocals. The harmonic mean of 10 and 20 is closest to which of the following?
A teacher will assign a group project to 2 or more of the 4 students James, Kalla, Lomi, and Michelle. To how many different groups of students can the teacher assign the project?
Last year a certain school offered three different math classes for juniors: algebra, geometry, and statistics. Of a total of 24 students enrolled in these math classes, 12 students were enrolled in algebra, 8 students were enrolled in geometry, and 6 students were enrolled in both algebra and geometry. If no student who was enrolled in statistics was enrolled in algebra or geometry, how many students were enrolled in statistics?_____ _____students
A list consists of 12 consecutive even integers and 12 consecutive odd integers such that the greatest even integer is 11 more than the greatest odd integer. What is the range of the integers in the list?


A 20-foot ladder leaning against a vertical wall with the base of the ladder 10 feet from the wall is pulled 2 feet farther out from the wall, causing the top of the ladder to drop x feet.

Quantity A

x

Quantity B

2


Last month a recycling facility received 175 used automobile batteries, all of which arrived at the facility in crates. Each of these crates contained 19, 20, or 21 used automobile batteries.

Quantity A

The number of crates containing used automatic batteries that arrived at the facility last month

Quantity B

9


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