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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	if $$\frac{1}{x}-\frac{1}{x+1}=\frac{1}{x+4}$$ then x could be
OG12 OG15 OG16 OG17 OG18 OG19 OG19 OG20 OG2022	$$(\frac{1}{2})^{-3}(\frac{1}{4})^{-2}(\frac{1}{16})^{-1}=$$
OG18 OG19 OG20 OG2022	The figure shown above consists of a shaded 9-sided polygon 9 unshaded isosceles triangles. For each isosceles triangle, the longest side is a side of the shaded polygon and the two sides of equal length are extensions of the two adjacent sides of the shaded polygon. What is the value of a?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	List T consists of 30 positive decimals, none of which is an integer, and the sum of the 30 decimals is S. The estimated sum of the 30 decimals, £, is defined as follows. Each decimal in T whose tenths digit is even is rounded up to the nearest integer, and each decimal in T whose tenths digit is odd is rounded down to the nearest integer; E is the sum of the resulting integers. If $$\frac{1}{3}$$ of the decimals in T have a tenths digit that is even, which of the following is a possible value of E - S ?I.-16II.6III.10
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If $$5-\frac{6}{x}=x$$ then x has how many possible values?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75 percent fescue. If a mixture of X and Y contains 30 percent ryegrass, what percent of the weight of the mixture is X ?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	How many of the integers that satisfy the inequality $${\frac{(x+2)(x+3)}{x-2}}\ge{0}$$ are less than 5 ?
OG18 OG19 OG20 OG2022	Of the 150 houses in a certain development, 60 percent have air - conditioning, 50 percent have a sunporch, and 30 percent have a swimming pool. If 5 of the houses have all three of these amenities and 5 have none of them, how many of the houses have exactly two of these amenities?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	The value of $$\frac{({2}^{-14}+{2}^{-15}+{2}^{-16}+{2}^{-17})}{5}$$ is how many times the value of$${2}^{-17}$$?
OG19 OG20 OG2022	What is the number of pages of a certain journal article? (1)The size of each page is $$5\frac{1}{2}$$ inches by 8 inches. (2)The average(arit metic mean)number of words per page is 250.
OG19 OG20 OG2022	if a certain vase contains only roses and tulips, how many tulips are there in the vase? (1 )The number of roses in the vase is 4 times the number of tulips in the vase . (2)There is a total of 20 flowers in the vase.
OG19 OG20 OG2022	The cost of 10 pounds of apples and 2 pounds of grapes was $12. What was the cost per pound of apples? (1)The cost per pound of grapes was $2 (2)The cost of 2 pounds of apples was less than the cost of 1 pound of grapes.
OG19 OG20 OG2022	What was the median annual salary for the employees at Company X last year? (1)Last year there were 29 employees at Company X (2)Last year 12 employees at Company X had an annual salary of $24,000
OG19 OG20 OG2022	How many basic units of currency X are equivalent to 250 basic units of currency Y? (1)100 basic units of currency X are equivalent to 625 basic units of currency Y. (2)2,000 basic units of currency X are equivalent to 12, 500 basic units of currency Y
OG19 OG20 OG2022	A company bought 3 printers and 1 scanner. What was the price of the scanner? (1)The total price of the printers and the scanner was $1, 300. (2)The price of each printer was 4 times the price of the scanner.
OG17 OG18 OG19 OG20 OG2022	In the figure above, point D is on $$\overline {AC}$$. What is the degree measure of $$\angle BAC$$?(1)The measure of $$\angle BDC$$ is 60°.(2)The degree measure of $$\angle BAC$$ is less than the degree measure of $$\angle BDC$$.
OG19 OG20 OG2022	Each of the 256 solid-colored marbles in a box is either blue, green, or purple What is the ratio of the number of blue marbles to the number of purple marbles in the box? (1)The number of green marbles in the box is 4 times the number of blue marbles in the box. (2)There are 192 green marbles in the box.
OG18 OG19 OG20 OG2022	A certain mixture of paint requires blue, yellow, and red paints in ratios of 2:3:1, respectively, and no other ingredients. If there are ample quantities of the blue and red paints available, is there enough of the yellow paint available to make the desired amount of the mixture? (1) Exactly 20 quarts of the mixture are needed. (2) Exactly 10 quarts of the yellow paint are available.
OG19 OG20 OG2022	The research funds of a certain company were divided among three departments, X, Y, and Z. Which one of the three departments received the greatest proportion of the research funds? (1)The research funds received by departments X and Y were in the ratio 3 to 5, respectively. (2)The research funds received by departments X and Z were in the ratio 2 to 1, respectively.
OG19 OG20 OG2022	In a certain class, some students donated cans of food to a local food bank .What was the average(arithmetic mean)number of cans donated per student in the class? (1) The students donated a total of 56 cans of food. (2) The total number of cans donated was 40 greater than the total number of students in the class.