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question:What is the value of the ceiling function applied to -2.4?
answer:The ceiling function rounds a number up to the nearest integer. Since -2.4 is less than -2 but greater than -3, the ceiling of -2.4 is boxed{-2}.The answer is: -2
question:Steven's teacher sends the class an assignment to collect 60 different fruit seeds. Apples average 6 seeds, pears average 2 seeds, and grapes average 3 seeds. Steven has set aside 4 apples, 3 pears, and 9 grapes to extract their seeds. How many more seeds does he need to fulfill his assignment?
answer:Steven has 4 apples and each apple has an average of 6 seeds, so he has 4 x 6 = 24 apple seeds. He also has 3 pears and each pear has an average of 2 seeds, so he has 3 x 2 = 6 pear seeds. Steven also has 9 grapes and each grape has an average of 3 seeds, so he has 9 x 3 = 27 grape seeds. In total, Steven has 24 + 6 + 27 = 57 seeds from the fruits he has set aside. He needs to collect 60 seeds in total, so he needs 60 - 57 = 3 more seeds. 3 The answer is: 3
question:An apple tree produced x apples in a particular season. The tree made 20% fewer fruits the following season, but the tree fruits production in the second season doubled during the third season. Calculate the total number of fruits the apple tree grew in the three seasons. If we know the answer to the above question is 680, what is the value of unknown variable x?
answer:In the first season, the apple tree produced x apples. In the second season, the tree produced 20% fewer fruits, which means it produced 0.8x apples. In the third season, the tree's fruit production doubled, so it produced 2 * 0.8x = 1.6x apples. The total number of fruits the apple tree grew in the three seasons is the sum of the number of apples produced in each season: x + 0.8x + 1.6x = 3.4x. We are given that the total number of fruits is 680, so we can write: 3.4x = 680. Dividing both sides by 3.4, we get: x = 200. The value of x is 200. 200 The answer is: 200
question:Malou got 91, x, and 92 in her three quizzes. What is her average score? If we know the answer to the above question is 91, what is the value of unknown variable x?
answer:Malou got 91, x, and 92 in her three quizzes. The average score is the sum of the scores divided by the number of quizzes. So the average score is (91 + x + 92) / 3. We are given that the average score is 91, so we can write: (91 + x + 92) / 3 = 91. Multiplying both sides by 3, we get: 91 + x + 92 = 273. Combining like terms, we get: x = 90. The value of x is 90. 90 The answer is: 90