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At a fruit market, the price of each peach is $$x$$ cents and the price of each plum is $$y$$ cents. If the total price of 4 peaches and 3 plums is equal to the total price of 7 peaches and 2 plums, which of the following statements must be true?
Indicate all such statements.
If $$(x-2)(x-5)=0$$, which of the following must be true?
To convert temperature in degrees Celsius ($$C$$) to degrees Fahrenheit ($$F$$), one can use the formula $$F=\frac{9}{5}C+32$$. If the value of $$2C+28$$ is used as an approximation of the value of $$F$$ when $$C=30$$, then the value of the approximation will be how many degrees Fahrenheit greater or less than the value of $$F$$?


Quantity A

$$at+sb$$

Quantity B

$$rc$$


The function of the highlighted sentence is primarily to
The primary purpose of the passage is to
The primary purpose of the passage is to
The primary purpose of the passage is to
The argument is most vulnerable to criticism on which of the following grounds?
Which of the following best describes the function of the highlighted sentence?


A rectangular tile with length l and width w is shown above. What is the ratio of the area of the shaded region of the tile to the area of the tile that is not shaded?
A total of 64 cubical blocks, each 3 inches on an edge, are stacked in layers to form a large cubical block. What is the volume, in cubic inches, of the large block?
Consider a sphere such that the ratio of the surface area of the sphere to its volume is 7. What is the radius of the sphere? (Note: The surface area of a sphere with radius $$r$$ is $$4πr^2$$, and the volume of a sphere with radius $$r$$ is $$\frac{4}{3}$$ $$πr^3$$.)
A manufacturer bought 500 pounds of compound $$C$$ in 1997 and, through a process costing a total of $50, produced from it 450 pounds of compound $$B$$, which was then sold in 1998. lf the compounds were bought and sold at the rates shown in the table and if the only costs to the manufacturer were the cost of the compound $$C$$ and the processing, what was the manufacturer' s total profit from this transaction?
The function f is defined by $$f(x)=x^2-5x+1$$ for all numbers $$x$$. What is the median of all possible values of $$f(n)$$, where n is an integer and $$6 \leq n \leq 14$$?
In a survey of 100 teenagers, 71 of the teenagers reported using at least one of three social media sites—$$A, B$$, and C—and 30 reported using all three sites. At least 15 of the teenagers reported using only site A and at most 15 of the teenagers reported using only site $$B$$. Which of the following values could be the number of teenagers who reported using only site $$C$$?
Indicate all such values.
Three people are in the process of reviewing 50 grant proposals. The numbers of proposals that each has reviewed so far are 32, 28, and 25, respectively.

Quantity A

The number of proposals that have been reviewed by at least 2 reviewers

Quantity B

$$32$$


$$a \lt b$$

Quantity A

$$b-a$$

Quantity B

$$b+a$$




If lines $$s$$ and $$t$$ shown are parallel, how many points in the plane of these lines are equidistant from all three lines?


In the figure the small rectangular region represents a flower garden with dimensions $$x$$ feet by $$y$$ feet, and the shaded region between the two rectangles shown represents a walkway 4 feet wide around three sides of the garden. Which of the following represents the area of the walkway, in square feet?

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