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OG12	If x, y, and k are positive numbers such that $$(\frac{x}{x+y})({10})+(\frac{y}{x+y})({20})=k$$ and if $$x<{y}$$ which of the following could be the value of k?
OG12 OG15	In the rectangular coordinate system above, if OP < PQ, is the area of region OPQ greater than 48 ?(1)The coordinates of point P are (6,8).(2)The coordinates of point Q are (13,0).
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	During a trip, Francine traveled x percent of the total distance at an average speed of 40 miles per hour and the rest of the distance at an average speed of 60 miles per hour. In terms of x, what was Francine`s average speed for the entire trip?
OG12 OG15 OG16	if x=-1,then $$\frac{x^4-x^3+x^2}{x-1}$$
OG12 OG15	$${S}=\frac{\frac{2}{n}}{\frac{1}{x}+\frac{2}{3x}}$$In the expression above, if $${x}{n}≠{0}$$, what is the value of S?(1)x = 2n(2)$$n =\frac{1}{2}$$
OG12	A toy store regularly sells all stock at a discount of 20 percent to 40 percent. If an additional 25 percent were deducted from the discount price during a special sale, what would be the lowest possible price of a toy costing $16 before any discount?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If n is a positive integer and $$k = {5.1}{10}^{n}$$, what is the value of k ?(1)$$6,000 < k < 500,000$$(2)$${k}^{2}={2.601}{10}^{9}$$
OG12 OG15	If Carmen had 12 more tapes, she would have twice as many tapes as Rafael. Does Carmen have fewer tapes than Rafael?(1)Rafael has more than 5 tapes.(2)Carmen has fewer than 12 tapes.
OG12 OG15	The shaded portion of the rectangular lot shown above represents a flower bed. If the area of the bed is 24 square yards and x = y + 2, then z equals
OG12 OG15 OG16 OG17	If x is an integer, is $$x \mid x \mid < {2}^{X}$$ ?(1)$$x < 0$$(2)$$x = -10$$
OG12 OG15	Jack is now 14 years older than Bill. If in 10 years Jack will be twice as old as Bill, how old will Jack be in 5 years?
OG12 OG15	If n is a positive integer, is the value of b - a at least twice the value of $${3}^{n}-{2}^{n}$$ ?(1)$$a ={2}^{n+1}$$ and $$b={3}^{n+1}$$(2)$$n = 3$$
OG12 OG15 OG16	An empty pool being filled with water at a constant rate takes 8 hours to fill to $$\frac{3}{5}$$ of its capacity. How much more time will it take to finish filling the pool?
OG12 OG15 OG16	A positive number x is multiplied by 2, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ?
OG12 OG15	The inflation index for the year 1989 relative to the year 1970 was 3.56, indicating that, on the average, for each dollar spent in 1970 for goods, $3.56 had to be spent for the same goods in 1989. If the price of a Model K mixer increased precisely according to the inflation index, what was the price of the mixer in 1970 ?(1)The price of the Model K mixer was $102.40 more in 1989 than in 1970.(2)The price of the Model K mixer was $142.40 in 1989.
OG12 OG15	Is $${5}^{k}$$ less than 1,000 ?(1)$${5}^{k+1} >3,000$$(2)$${5}^{k-1}={5}^{k}-500$$
OG12 OG15	A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 2,500 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	For any positive integer n, the sum of the first n positive integers equals $$\frac{n(n+1)} 2$$. What is the sum of all the even integers between 99 and 301?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	The hypotenuse of a right triangle is 10 cm. What is the perimeter, in centimeters, of the triangle?(1)The area of the triangle is 25 square centimeters.(2)The 2 legs of the triangle are of equal length.
OG12 OG15	A committee is composed of w women and m men. If 3 women and 2 men are added to the committee, and if one person is selected at random from the enlarged committee, then the probability that a woman is selected can be represented by