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At Betty`s Bagels, bagels normally cost x each, but with purchases of each dozen the customer receives a discount of 1.40 dollars. Billy buys 56 bagels and calculates that he spends an average of 90 cents per bagel. What is the value of x?
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A bookstore stocks $$\frac{1}{5}$$ of its books as fiction works, and $$\frac{1}{3}$$ less than the fiction books as self-help books. What fraction of the total books are the fiction and self-help books?
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Reservoir A contains 450 million gallons of water more than does Reservoir B. If 100 million gallons of water were to be drained from Reservoir A into Reservoir B, then Reservoir A would contain twice as much water as would Reservoir B. How many million gallons of water does Reservoir A currently contain?
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The New Age Entertainment Company produces x mood rings at a cost, in cents, of 80x + 9,000. These x mood rings can be sold for a price, in cents, of 260x. What is the least value of x for which the New Age Entertainment Company does not lose money?
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Let S be a point on a circle whose center is R. If PQ is a chord that passes perpendicularly through the midpoint of RS, then the length of arc PSQ is what fraction of the circle`s circumference?
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Assume that at a particular zoo, $$\frac{2}{5}$$ of all the animals are mammals, and $$\frac{2}{3}$$ of the mammals are allowed to interact directly with the public. If 24 mammals are allowed to interact directly with the public, how many animals in this zoo are NOT mammals?
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In the figure above, the letters L, M, and N denote the areas of the semicircular regions whose diameters are the sides of the triangle, as shown. What is the value of $$\frac{L+M}{N}$$
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A square region has an area of b square inches and a perimeter of n inches. If n = $$\frac{b}{3}$$ what is the length, in inches, of the side of the square?
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The figure above shows four adjacent small squares, forming one large square. The vertices of square RSTU are midpoints of the sides of the small squares. What is the ratio of the area of RSTU to the area of the large outer square?
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In the figure above, an equilateral triangle is inscribed in a circle. How many times greater is the area of the circle than the area of the triangle?
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If $$\frac{(x+2)(x-5)}{(x-3)(x+4)}$$ = 1, then x =
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The figure above shows a rectangle inscribed within a square. How many times greater is the perimeter of the square than the perimeter of the inscribed rectangle?
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For which of the following values of x is $$\frac{x^2}{4}+\frac{x}{2}-4$$ between 0 and 4?
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The New Gotham Department of Transit is taking an inventory of its vehicles. There are three times as many buses as train cars. 20 percent of the buses are powered by alternative fuels, of which 40 percent are powered by biofuels, 20 percent by hydrogen, and the remainder by natural gas. 25 percent of train cars are less than 5 years old, which is half the rate for natural gas buses. What percentage of New Gotham`s vehicles are natural gas buses that are at least 5 years old?
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At Alex`s Burger Palace, customers can purchase 2 veggie burgers and 2 shakes for $6.50. Customers can also purchase 2 veggie burgers and 2 beef burgers for $7.00. Which of the following could be accurate assignments of price to food item?Indicate all possible values.
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Note: Figure not drawn to scale. The radius of Circle Q is 8. If length of arc ABC is greater than 26, which of the following could be the value of the sums of angles AQB and BQC?Indicate all possible values.
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Shares of XYZ Co and ABC Corp are sold on a stock exchange that closes at 5 p.m. each day. At the close of business on Monday, shares of XYZ Co sold for half the price of shares of ABC Corp. On Tuesday and Wednesday, the price of shares of XYZ Co decreased at a rate of $$\frac{1}{5}$$ per day. During that same period, shares of ABC Corp increased at a rate of $$\frac{1}{4}$$ per day. At the close of business on Wednesday, the price of shares of ABC Corp was how many times greater, rounded to the nearest integer, than the price of shares of XYZ Co?_____
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A model rocket takes off from an elevated launch pad 9 feet above the ground. The rocket`s elevation follows the function h = $$-2t^2$$ + 12t + 9, where h represents the height after t seconds. Which of the following ordered pairs (t, h) could be the rocket`s height at a given time?Indicate all possible values.
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If a + b = 15 and 2a - b = 6, what is the value of b?
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If the perimeter of a rectangle is 24 and the length is twice the width, what is the length of the rectangle?
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