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Answer :
Final answer:
To convert units like cups to grams, gallons to quarts, pints to ounces, milligrams to pounds, kilograms to ounces, and centigrams to milligrams, specific conversion factors are used. These conversions involve simple multiplication and are essential for solving problems related to measurements.
Explanation:
Conversion of Various Units
To convert 34 cups into grams, we need to use the fact that 1 cup equals 8 fluid ounces and 1 ounce equals 28.35 grams:
- Convert cups to ounces: 34 cups × 8 ounces/cup = 272 ounces.
- Convert ounces to grams: 272 ounces × 28.35 grams/ounce = 7711.2 grams.
To convert 16 gallons into quarts, we use the conversion factor 1 gallon equals 4 quarts:
- 16 gallons × 4 quarts/gallon = 64 quarts.
For converting 14 pints into ounces, we use 1 pint equals 16 ounces:
- 14 pints × 16 ounces/pint = 224 ounces.
To convert 600 milligrams to pounds, we use the conversion factors 1 gram equals 0.002205 pounds and 1 milligram equals 0.001 grams:
- 600 mg × 0.001 g/mg × 0.002205 lb/g = 0.001323 pounds.
Converting 3 kg to ounces, where 1 kg equals 1000 grams and 1 gram equals 0.0353 ounces:
- 3 kg × 1000 g/kg × 0.0353 oz/g = 105.9 ounces.
To convert 200 centigrams to milligrams, we know that 1 centigram equals 10 milligrams:
- 200 cg × 10 mg/cg = 2000 mg.
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200 centigrams is equivalent to 2000 milligrams. To convert cups to grams, we need to know what substance we are measuring, as different substances have different densities.
Assuming we are measuring water, which has a density of 1 gram per milliliter, we can convert 34 cups into milliliters and then into grams:
34 cups x 0.5 pint/cup x 473.176 ml/pint x 1 g/ml = 7995.5 grams
Therefore, 34 cups of water is equivalent to 7995.5 grams.
To convert gallons to quarts, we simply multiply the number of gallons by 4:
16 gallons x 4 qt/gallon = 64 quarts
Therefore, 16 gallons is equivalent to 64 quarts.
To convert pints to ounces, we simply multiply the number of pints by 16:
14 pints x 16 oz/pint = 224 ounces
Therefore, 14 pints is equivalent to 224 ounces.
To convert milligrams to pounds, we divide the number of milligrams by 453592.37 (the number of milligrams in a pound):
600 mg ÷ 453592.37 = 0.00132277 pounds
Therefore, 600 milligrams is equivalent to 0.00132277 pounds.
To convert kilograms to ounces, we first convert kilograms to grams by multiplying by 1000, and then convert grams to ounces by dividing by 28.35:
3 kg x 1000 g/kg ÷ 28.35 g/oz = 105.82 ounces
Therefore, 3 kilograms is equivalent to 105.82 ounces.
To convert centigrams to milligrams, we simply multiply the number of centigrams by 10:
200 cg x 10 mg/cg = 2000 mg
Therefore, 200 centigrams is equivalent to 2000 milligrams.
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