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The thin rectangular sheet of metal shown in the figure is 8 inches wide and x inches long. An open box is to be made by cutting a 2-inch square from each corner of the sheet of metal and then folding up the sides. If the volume of the box is to be 48 cubic inches, what is the value of x ?
From a set of 100 numbers, half were selected to form group I, and 60 percent of the remaining numbers were selected to form group II. The average (arithmetic mean) of the numbers in group I is 24.4, and the average of the numbers in group II is 31.5. Which of the following is closest to the average of the numbers in groups I and II combined?

In April 2004 the dollar amount of the Housing expense inregion Q was less than the dollar amount of the Housing expense in which ofthe other regions? Indicate all such regions.
In region P, the expense in the category Other was what fraction of the total of the expenses in the three nonhousing categories?
For the regon in which the range of the dollar amounts of the four expense categories was least, what percent of total living expenses wasthe Transportation expense in that region?
Of the students in a certain group, 22 percent are juniors and 26 percent are seniors. Quantity A The ratio of the number of juniors in the group to the number of seniors in the group. Quantity B $$\frac{4}{5}$$
n is an integer, and k is not an integer. 0 < k < n < k+2 Quantity A: n Quantity B: k +1
A certain brand of dishwashing liquid was sold in two different bottle sizes. The small bottle was sold with $$\frac{2}{5}$$ as many ounces of liquid as the large bottle and was sold at a price that was $$\frac{1}{2}$$ the price of the large bottle. Quantity A The price per ounce of the liquid in the small bottle Quantity B The price per ounce of the liquid in the large bottle
AB=12, AC=30, and AD= 2/5(AC). Quantity A The measure of angle BDC Quantity B 120
Quantity A The area of a triangular region with perimeter 8 Quantity B 8
List L consists of 7 numbers. The range of the numbers in list L is 0. Quantity A The average (arithmetic mean) of the numbers in list L Quantity B 0
s=\|t-2\| Quantity A s+2 Quantity B \|t\|
Survery* of preferred method to obtain news, by age-group *Each person surveyed indicated one of the four methods as his or her preferred method to obtain news.
Which of the following is closest to the percent of all the people survey who indicated the Internet as their preferred method to obtain news?
For the age-group 50 and older, the number of people who indicated the Internet as their preferred method to obtain news is approximately what percent less than the number of people who indicated radio?
If x is 4 more than half of y and if y is 10 more than half of x, what is the value of x?
For the 500 measurements obtained in experiment X, the average (arithmetic mean) value is 280 and the value k is at the 75th percentile. For the 500 measurements obtained in experiment Y, the average value is 280 and the value n is at the 75th percentile. Quantity A: k Quantity B: n
x - y =5 Quantity A $$x^{2} - y^{2}$$ Quantity B 5
$$f (x) = 4x^{2} + 28x + 49$$ for all x. Quantity A The number b such that f(b) is the minimum value of f Quantity B -3

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