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question:Natalia, the librarian, needs to organize her collection of books in January. She has 145 novels, 271 comics, 419 documentaries, and 209 albums to store. Each crate can hold 9 items. How many crates will Natalia need to store all of her books?
answer:Natalia has a total of 145 + 271 + 419 + 209 = 1044 books. To store all of her books, she will need 1044 / 9 = 116 crates. 116 The answer is: 116
question:f x-y=15 and xy=4, what is the value of x^2+y^2?
answer:We can square the equation x - y = 15 to get x^2 - 2xy + y^2 = 225. From this, we can substitute xy = 4 to get x^2 - 8 + y^2 = 225. Rearranging, we have x^2 + y^2 = boxed{233}. The answer is: 233
question:June and Julia live 1 mile apart. It takes June 4 minutes to ride her bike directly to Julia's house. At the same rate, It would take June 14 minutes to ride the X miles from her own house to Bernard's house. What is the value of unknown variable X?
answer:To solve this problem, we need to determine the value of x, which represents the distance from June's house to Bernard's house in miles. We know that June can ride 1 mile in 4 minutes. Therefore, her rate is 1/4 miles per minute. We also know that it would take June 14 minutes to ride from her own house to Bernard's house at the same rate. Therefore, the distance is x miles. We can set up the equation as follows: Rate * Time = Distance (1/4 miles per minute) * 14 minutes = x miles Let's simplify and solve for x: (1/4) * 14 = x 14/4 = x 7/2 = x To simplify the fraction, we multiply both the numerator and the denominator by 2: (7 * 2) / (2 * 2) = x 14/4 = x 7/2 = x The value of x is 7/2 or 3.5 miles. The answer is: 3.5
question:The Chrysler Building has 11 more floors than the Leeward Center. Together they have a total of 35 floors. How many floors does the Chrysler Building have?
answer:Let's assume the number of floors in the Leeward Center is L. According to the problem, the Chrysler Building has 11 more floors, so the number of floors in the Chrysler Building would be L + 11. Together, the Leeward Center and the Chrysler Building have a total of 35 floors, so we can write the equation L + (L + 11) = 35. Combining like terms, we get 2L + 11 = 35. Subtracting 11 from both sides, we get 2L = 24. Dividing both sides by 2, we get L = 12. So the Leeward Center has 12 floors. Therefore, the Chrysler Building has 12 + 11 = 23 floors. 23 The answer is: 23