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What is the value of $$\frac{(2t+t-x)}{(t-x)}$$(1)$$\frac{2t}{t-x}=3$$(2)t-x=5
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If the operation * is defined by $$x*y=\sqrt{xy}$$ for all positive numbers x and y, then (5 * 45) * 60 =
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Is n an integer?(1)$${n}^{2}$$ is an integer.(2)$$\sqrt{n}$$ is an integer.
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If x, y, and z are positive integers, is x - y odd?(1)$$x = z^2$$(2)$$y = (z-1)^2$$
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A bar over a sequence of digits in a decimal indicates that the sequence repeats indefinitely.What is the value of $$({10}^{4}-{10}^{2})(0.00\overline{12})$$?
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At a loading dock, each worker on the night crew loaded $$\frac{3}{4}$$ as many boxes as each worker on the day crew. If the night crew has $$\frac{4}{5}$$ as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
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A club collected exactly $599 from its members. If each member contributed at least $12, what is the greatest number of members the club could have?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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If y is the smallest positive integer such that 3,150 multiplied by y is the square of an integer, then y must be
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If [x] is the greatest integer less than or equal to x, what is the value of [-1.6] +[3.4]+[2.7]?
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if $$\frac{(4-x)}{(2+x)}= x$$, what is the value of $${x}^{2} + 3x - 4$$?
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OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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In the first week of the year, Nancy saved $1. In each of the next 51 weeks, she saved $1 more than she had saved in the previous week. What was the total amount that Nancy saved during the 52 weeks?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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In a certain sequence, the term $${x}_{n}$$, is given by the formula $${x}_{n}={2}{x}_{n-1}-\frac{1}{2}({x}_{n-2})$$ for all $${n}\geq{2}$$. If $${x}_{0}=3$$ and $${x}_{1}=2$$, what is the value of $${x}_{3}$$
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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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?
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OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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If $${n}={33}^{43}+{43}^{33}$$, what is the units digit of n?
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if x=-1,then $$\frac{x^4-x^3+x^2}{x-1}$$
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A border of uniform width is placed around a rectangular photograph that measures 8 inches by 10 inches. If the area of the border is 144 square inches, what is the width of the border, in inches?
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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?
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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 ?
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If $${d}=\frac{1}{{2}^{3}\times{5}^{7}}$$ is expressed as a terminating decimal, how many nonzero digits will d have?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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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?
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