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question:Lily is going abroad on vacation with her family. Each of her 4 siblings is bringing 2 suitcases, and her parents are bringing 3 suitcases. Lily decides that there is already too much luggage and she won't be bringing any. How many suitcases is the entire family bringing on vacation?
answer:Each of Lily's 4 siblings is bringing 2 suitcases, so that's 4 siblings x 2 suitcases each = 8 suitcases. Lily's parents are bringing 3 suitcases, so that's 2 parents x 3 suitcases each = 6 suitcases. In total, the entire family is bringing 8 suitcases + 6 suitcases = 14 suitcases. 14 The answer is: 14
question:Determine the period of the function y = sin x + cos x.
answer:To find the period of a function of the form y = sin x + cos x, we need to find the smallest positive value of p such that f(x+p) = f(x) for all x. We can rewrite the function as y = sqrt{2} left( frac{1}{sqrt{2}} sin x + frac{1}{sqrt{2}} cos x right). Using the identity sin(x+frac{pi}{4}) = frac{1}{sqrt{2}} sin x + frac{1}{sqrt{2}} cos x, we see that the function has a period of boxed{2pi}. The answer is: 2pi
question:Jean is trying to motivate herself to write her final paper. She eats one donut per 2 pages that she writes. If she writes x pages and each donut has 150 calories, how many calories does she eat? If we know the answer to the above question is 900, what is the value of unknown variable x?
answer:Jean eats one donut per 2 pages that she writes, which means she eats (1/2)*x donuts. Each donut has 150 calories, so the total number of calories she eats is: (1/2)*x * 150 = 75x. We are given that the total number of calories she eats is 900, so we can write: 75x = 900. Dividing both sides by 75, we get: x = 12. The value of x is 12. 12 The answer is: 12
question:f a pelican caught 13 fish and a kingfisher caught 7 more fish than the pelican, and a fisherman caught 3 times the total number of fish caught by the pelican and kingfisher, how many additional fish did the fisherman catch compared to the pelican?
answer:The pelican caught 13 fish. The kingfisher caught 7 more fish than the pelican, so it caught 13 + 7 = 20 fish. The fisherman caught 3 times the total number of fish caught by the pelican and kingfisher, so he caught 3 * (13 + 20) = 3 * 33 = 99 fish. Therefore, the fisherman caught 99 - 13 = 86 additional fish compared to the pelican. 86 The answer is: 86