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If $$({2}^{x})({2}^{y})={8}$$ and $$({9}^{x})({3}^{y})={81}$$, then (x, y)=
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If $$\frac{x}{y}=\frac{3}{2}$$,then $$\frac{x-y}{x}=$$
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KMFPS
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A box contains 100 balls, numbered from 1 to 100. If three balls are selected at random and with replacement from the box, what is the probability that the sum of the three numbers on the balls selected from the box will be odd?
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0---:-|---:--|-:--:-|--:---|-:----1On the number line above, the segment from 0 to 1 has been divided into fifths, as indicated by the large tick marks, and also into sevenths, as indicated by the small tick marks. What is the least possible distance between any two of the tick marks?
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$$\frac{1}{{1}-\mathbf({\frac{1}{{2}-\frac{1}{3}}\mathbf)}}$$
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PREP07 Test 1
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If the average (arithmetic mean) of the 4 numbers n+2, 2n - 3, 4n + 1, and 7n + 4 is 15, what is the value of n?
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$$(-{3})^{-2}=$$
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PREP07 Test 1
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If a, b, c, and d are consecutive even integers and a < b < c < d, then a + b is how much less than c + d ?
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PREP07 Test 1
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A flower arrangement consists of 30 roses, each of which is either white or red. If a rose is to be selected at random from the flower arrangement, the probability that the rose selected will be white is twice the probability that it will be red. How many white roses are in the flower arrangement?
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The formula $${F}={9}\frac{C}{5}+{32}$$ gives the relationship between the temperature in degrees Fahrenheit, F, and the temperature given in degrees Celsius, C. If the temperature is 85 degrees Fahrenheit, what is the temperature, to the nearest degree, in degrees Celsius?
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PREP07 Test 1
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Is the product of a certain pair of integers even?(1)The sum of the integers is odd.(2)One of the integers is even and the other is odd.
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PREP07 Test 1
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The product P of two prime numbers is between 9 and 55. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then P =
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PREP07 Test 1
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Is x to the right of -5 on the number line?(1)x is to the right of -7 on the number line.(2)x is between -4 and -3 on the number line.
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PREP07 Test 1
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A certain bag contains red, blue, and green marbles. What is the ratio of the number of green marbles to the number of red marbles in the bag?(1)The number of blue marbles in the bag is 2 times the number of green marbles in the bag.(2)The number of blue marbles in the bag is 3 times the number of red marbles in the bag.
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Which of the following fractions has the greatest value?
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If the average (arithmetic mean) of 3, 8, and w is greater than or equal to 7 and less than or equal to 44, what is the greatest possible value of w ?
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PREP07 Test 2
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Juan bought some paperback books that cost $8 each and some hardcover books that cost $25 each. If Juan bought more than 10 paperback books, how many hardcover books did he buy?(1) The total cost of the hardcover books that Juan bought was at least $150.(2) The total cost of all the books that Juan bought was less than $260.
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Harvey teaches a certain number of biology students in 2 classes, K and L. He can divide the students in class K into 7 groups of n students each. He can divide the students in class L into 6 groups of p students each with 1 student left over. How many students are in class L ?(1) n = p(2) There are 5 more students in class K than in class L.
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If n is a positive integer, what is the value of n ? (1) When n is divided by 3, the remainder is 2. (2) When $${n}^{2}$$ is divided by 3, the remainder is 1.
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Jim's income comes from his wages and from tips. For a certain month, if Jim's income from his wages was 180 percent of his income from tips, approximately what percent of his total income came from tips?
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