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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$${2}^{-17}$$?
OG20	What is the greatest prime factor of $${2}^{100}-{2}^{96}$$ ?
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.
300难题 OG20	A certain truck traveling at 55 miles per hour gets 4.5 miles per gallon of diesel fuel consumed. Traveling at 60 miles per hour, the truck gets only 3.5 miles per gallon. On a 500-mile trip, if the truck used a total of 120 gallons of diesel fuel and traveled part of the trip at 55 miles per hour and the rest at 60 miles per hour, how many miles did it travel at 55 miles per hour?
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.