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question:f a factory produced 12,000 dolls and their associated accessories last month, where each doll required 2 shoes, 3 bags, 1 set of cosmetics, and 5 hats, and each doll took 45 seconds to make and each accessory took 10 seconds to make, what was the total amount of time, in seconds, spent on machine operations to manufacture all the dolls and accessories?
answer:To manufacture 12,000 dolls, the factory needed 12,000 x 2 = 24,000 shoes. To manufacture 12,000 dolls, the factory needed 12,000 x 3 = 36,000 bags. To manufacture 12,000 dolls, the factory needed 12,000 x 1 = 12,000 sets of cosmetics. To manufacture 12,000 dolls, the factory needed 12,000 x 5 = 60,000 hats. To manufacture 24,000 shoes, which took 10 seconds each, the factory spent a total of 24,000 x 10 = 240,000 seconds. To manufacture 36,000 bags, which took 10 seconds each, the factory spent a total of 36,000 x 10 = 360,000 seconds. To manufacture 12,000 sets of cosmetics, which took 10 seconds each, the factory spent a total of 12,000 x 10 = 120,000 seconds. To manufacture 60,000 hats, which took 10 seconds each, the factory spent a total of 60,000 x 10 = 600,000 seconds. To manufacture 12,000 dolls, which took 45 seconds each, the factory spent a total of 12,000 x 45 = 540,000 seconds. The total amount of time spent on machine operations to manufacture all the dolls and accessories is 240,000 + 360,000 + 120,000 + 600,000 + 540,000 = 1,860,000 seconds. 1860000 The answer is: 1860000
question:Victoria was given a x bill by her mother to buy her friends snacks for their group meeting. She bought 2 boxes of pizza that costs 12 each and 2 packs of juice drinks that cost 2 each. Victoria should return 22 money to her mother. What is the value of unknown variable x?
answer:To solve this problem, we need to determine the value of x, which represents the initial amount of money Victoria was given by her mother. Let's break down the information given: Cost of each box of pizza: 12 Number of boxes of pizza: 2 Cost of each pack of juice drinks: 2 Number of packs of juice drinks: 2 Amount of money Victoria should return: 22 We can set up the equation as follows: Initial amount of money - (Number of boxes of pizza * Cost of each box of pizza) - (Number of packs of juice drinks * Cost of each pack of juice drinks) = Amount of money Victoria should return x - (2 * 12) - (2 * 2) = 22 Let's simplify and solve for x: x - 24 - 4 = 22 x - 28 = 22 To isolate x, we add 28 to both sides of the equation: x - 28 + 28 = 22 + 28 x = 50 The value of x is 50. 50 The answer is: 50
question:Shari walks at a constant rate of X miles per hour. After 1.5 hours, how many miles did she walk? Express your answer as a decimal to the nearest tenth. If we know the answer to the above question is 4.5, what is the value of unknown variable X?
answer:We are given that Shari walks at a constant rate of X miles per hour. To find the distance she walked after 1.5 hours, we can use the formula: Distance = Rate * Time Substituting the given values, we have: Distance = X miles per hour * 1.5 hours Distance = 1.5X miles Given that the distance is 4.5 miles, we can write: 4.5 miles = 1.5X miles To solve for X, we can divide both sides of the equation by 1.5: frac{4.5}{1.5} = X Simplifying, we find: X = 3 The value of X is 3. The answer is: 3
question:vey and his friend Sam decided to run a footrace in their school track field to see who was better at running. While at it, Harvey runs 8 miles more than his friend Sam, who runs a total of 12 miles. Calculate the total number of miles the two friends run together.
answer:If Harvey runs 8 miles more than Sam, then Harvey runs 12 + 8 = 20 miles. The total number of miles the two friends run together is 12 + 20 = 32 miles. 32 The answer is: 32