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question:If the Great Pyramid of Giza is 20 feet taller than a structure that is 500 feet in height and 234 feet wider than its height, what is the total sum of the height and width of the Great Pyramid of Giza in feet?
answer:The Great Pyramid of Giza is 520 feet tall (since it's 20 feet taller than a 500-foot structure) and its width is 734 feet (as it's 234 feet wider than its height). To find the total sum of the height and width, we simply add these two measures together: Total sum = Height + Width = 520 feet + 734 feet = 1254 feet So, the total sum of the height and width of the Great Pyramid of Giza is 1254 feet.,To find the total sum of the height and width of the Great Pyramid of Giza, we first need to determine its width. The given structure is 500 feet in height and 234 feet wider than its height, so its width is 500 + 234 = 734 feet wide. The Great Pyramid of Giza is 20 feet taller than this structure, so its height is 500 + 20 = 520 feet tall. To find the total sum of the height and width of the Great Pyramid of Giza, we add the height and width: 520 feet (height) + 734 feet (width) = 1254 feet So, the total sum of the height and width of the Great Pyramid of Giza is 1254 feet.,The height of the structure is 500 feet. The Great Pyramid of Giza is 20 feet taller than the structure, so its height is 500 + 20 = 520 feet. The Great Pyramid of Giza is also 234 feet wider than its height, so its width is 520 + 234 = 754 feet. The total sum of the height and width of the Great Pyramid of Giza is 520 + 754 = 1274 feet. 1274 The answer is: 1274
question:What is the total amount of zinc, in milligrams, that Jerry consumes after taking two antacids weighing 2 grams each with a zinc content of 5% by weight, and three smaller antacids weighing 1 gram each with a zinc content of 15%?
answer:First, let's find out how much zinc is in one gram of the higher-concentration antacids: Zinc content in higher-concentration antacids = Zinc content percentage * Weight = 15% * 1 gram = 0.15 grams or 150 milligrams (since there are 1000 milligrams in a gram) Next, let's find out how much zinc is in the two larger antacids: Zinc in two large antacids = Zinc content per antacid * Number of antacids = 0.15 grams * 2 = 0.3 grams or 300 milligrams Now, let's find out how much zinc is in the three smaller antacids: Zinc in three small antacids = Zinc content per antacid * Number of antacids = 0.05 grams * 3 = 0.15 grams or 150 milligrams Finally, let's add up the amount of zinc in all the antacids: Total zinc = Zinc in two large antacids + Zinc in three small antacids = 300 mg + 150 mg = 450 milligrams So, Jerry consumes a total of 450 milligrams of zinc.,To find the total amount of zinc Jerry consumes, we need to calculate the amount of zinc in each antacid and then add them together. For the two 2-gram antacids with 5% zinc content: Zinc in 1 antacid = weight of antacid * zinc content Zinc in 1 antacid = 2 grams * 5% Zinc in 1 antacid = 2 grams * 0.05 Zinc in 1 antacid = 0.1 gram Since Jerry takes two of these antacids: Total zinc from 2 large antacids = 2 * 0.1 = 0.2 grams Now, for the three 1-gram antacids with 15% zinc content: Zinc in 1 antacid = weight of antacid * zinc content Zinc in 1 antacid = 1 gram * 15% Zinc in 1 antacid = 1 gram * 0.15 Zinc in 1 antacid = 0.15 grams Since Jerry takes three of these antacids: Total zinc from 3 small antacids = 3 * 0.15 = 0.45 grams Finally, to find the total amount of zinc Jerry consumes: Total zinc = zinc from large antacids + zinc from small antacids Total zinc = 0.2 grams + 0.45 grams Total zinc = 0.65 grams Since the question asked for the total amount of zinc in milligrams, we need to convert grams to milligrams: Total zinc in milligrams = 0.65 grams * 1000 mg/g Total zinc in milligrams = 650 mg So, Jerry consumes a total of 650 milligrams of zinc.,Each antacid weighs 2 grams and has a zinc content of 5%, so each antacid contains 2 * 0.05 = 0.1 grams of zinc. Jerry takes two of these antacids, so he consumes a total of 2 * 0.1 = 0.2 grams of zinc from the larger antacids. Each smaller antacid weighs 1 gram and has a zinc content of 15%, so each smaller antacid contains 1 * 0.15 = 0.15 grams of zinc. Jerry takes three of these smaller antacids, so he consumes a total of 3 * 0.15 = 0.45 grams of zinc from the smaller antacids. Therefore, Jerry consumes a total of 0.2 + 0.45 = 0.65 grams of zinc. Since there are 1000 milligrams in a gram, Jerry consumes a total of 0.65 * 1000 = 650 milligrams of zinc. 650 The answer is: 650
question:There are 7 trucks that have 20 boxes. There are 5 trucks that have 12 boxes. Each box holds 8 containers of oil. If all of the oil is evenly redistributed onto 10 trucks, how many containers of oil will each truck have?
answer:First, we need to determine the total number of boxes and containers on all trucks. There are 7 trucks with 20 boxes each, so the total number of boxes from those trucks is 7 * 20 = 140 boxes. There are 5 trucks with 12 boxes each, so the total number of boxes from those trucks is 5 * 12 = 60 boxes. In total, there are 140 + 60 = 200 boxes. Each box holds 8 containers of oil, so there are a total of 200 boxes * 8 containers = 1600 containers of oil. Now, we want to evenly distribute these 1600 containers of oil onto 10 trucks. Each truck will receive 1600 containers / 10 trucks = 160 containers of oil. So, each truck will have 160 containers of oil.,There are 7 trucks with 20 boxes each, so there are 7 * 20 = 140 boxes in total. There are also 5 trucks with 12 boxes each, so there are 5 * 12 = 60 boxes in total. In total, there are 140 + 60 = 200 boxes of oil. Each box holds 8 containers of oil, so there are 200 * 8 = 1600 containers of oil in total. If the oil is evenly redistributed onto 10 trucks, each truck will have 1600 / 10 = 160 containers of oil. 160 The answer is: 160, First, let's find out how many containers of oil are currently distributed across the 7 + 5 = 12 trucks. Total containers = (Number of trucks with 20 boxes) * (Boxes per truck) * (Containers per box) + (Number of trucks with 12 boxes) * (Boxes per truck) * (Containers per box) Total containers = (7 trucks) * (20 boxes/truck) * (8 containers/box) + (5 trucks) * (12 boxes/truck) * (8 containers/box) Total containers = 1120 + 480 Now there are 10 trucks left. We need to divide the total number of containers by the number of trucks left to find out how many containers each truck will have: Containers per truck = Total containers / Number of trucks = 1600 containers / 10 trucks = 160 containers Each of the 10 trucks will have 160 containers of oil after the redistribution.
question:James buys 2 puzzles that are 2000 pieces each. He anticipates for these larger puzzles he can do 100 pieces every 10 minutes. So how long would it take to finish both puzzles?
answer:Each puzzle has 2000 pieces, so James has a total of 2 * 2000 = 4000 pieces to complete. He can do 100 pieces every 10 minutes, so it would take him 4000 / 100 = 40 sets of 10 minutes to complete the puzzles. Therefore, it would take James 40 * 10 = 400 minutes to finish both puzzles. 400 The answer is: 400,To determine how long it would take James to finish both puzzles, we need to calculate the time it takes him to complete one puzzle and multiply that by 2. First, let's find out how many pieces he does in an hour using the given information. If he does 100 pieces every 10 minutes, in an hour (60 minutes), he would do: 100 pieces / 10 minutes * 60 minutes = 600 pieces Now, let's find out how many pieces he completes in an entire day (24 hours) by multiplying that hourly rate by 24: 600 pieces / hour * 24 hours = 14400 pieces So, with his current rate, James can complete 14400 pieces in a day. Each puzzle is 2000 pieces, so he would be able to complete both puzzles in: 14400 pieces / 2000 pieces = 7.2 days Therefore, it would take James approximately 7.2 days to finish both puzzles., James wants to complete two puzzles, each containing 2000 pieces. He can put together 100 pieces every 10 minutes. First, let's calculate how many pieces James can assemble in 10 minutes: Pieces per 10 minutes = 100 Since each puzzle has 2000 pieces, we need to determine the number of 10-minute intervals required to complete one puzzle. To do this, divide the total number of pieces in one puzzle by the number of pieces James can do in 10 minutes: Intervals per puzzle = Total pieces / Pieces per 10 minutes Intervals per puzzle = 2000 / 100 Intervals per puzzle = 20 So, it takes James 20 intervals of 10 minutes each to complete one puzzle. Since James needs to complete two puzzles, multiply the number of intervals per puzzle by 2: Total intervals = Intervals per puzzle * 2 Total intervals = 20 * 2 Total intervals = 40 Finally, to find out how long it takes in minutes to complete both puzzles, multiply the total number of intervals by the length of each interval: Time (minutes) = Total intervals * Length of each interval Time (minutes) = 40 * 10 Time (minutes) = 400 It will take James 400 minutes to finish both puzzles. You can convert this time to hours by dividing it by 60: Time (hours) = Time (minutes) / 60 Time (hours) = 400 / 60 Time (hours) ≈ 6.67 Therefore, it will take James approximately 6.67 hours to complete both puzzles.