Math Problem Statement
Answer the following: (Show your computation and round off the final answer to 2 decimal places)
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A man makes a 27.0-kilometer trip in 16 minutes. How many miles did he travel?
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The density of propane is 36.28 lb/ft3. Convert this to kg/m3.
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How many significant figures are there in 685.602?
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A length of glass tubing is 0.525 meter. How many inches long is the tubing?
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What is the density in g/mL of a sample mineral oil if it has 250 milliliter and has a mass of 0.23 kilogram?
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If the density of carbon tetrachloride is 0.793 g/mL, and a sample has a volume of 9.29 milliliter, what is the mass?
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What is the density in g/mL of a substance that has mass of 0.987 kg and has a volume of 4.52 x 102 milliliter?
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How many kilometers are there in 2.88 meter?
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How many pounds does 2.00 kilogram of cheese weighs?
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How many degrees Fahrenheit are there in 30.0 °C?
Solution
Here are the solutions with computations:
1. Convert kilometers to miles
Final Answer: 16.78 miles
2. Convert density of propane to kg/m³
Final Answer: 581.30 kg/m³
3. Significant Figures in 685.602
- All nonzero digits are significant.
- Any zeros between significant figures are counted.
- Trailing zeros after a decimal point are significant.
Answer: 6 significant figures
4. Convert meters to inches
Final Answer: 20.67 inches
5. Density in g/mL
Final Answer: 0.92 g/mL
6. Mass of Carbon Tetrachloride Sample
Final Answer: 7.37 g
7. Density of a Substance in g/mL
Final Answer: 2.18 g/mL
8. Convert meters to kilometers
Final Answer: 0.00288 km
9. Convert kilograms to pounds
Final Answer: 4.41 lb
10. Convert Celsius to Fahrenheit
Final Answer: 86.00°F
Would you like further clarifications? Here are five related questions to deepen understanding:
- How do significant figures affect the precision of calculations?
- Why do different materials have different densities?
- What is the relationship between mass, volume, and density?
- How do you convert between different temperature scales (Kelvin, Celsius, Fahrenheit)?
- Why is unit conversion important in scientific measurements?
Tip: Always check unit consistency when performing conversions to avoid miscalculations. 🚀
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Math Problem Analysis
Mathematical Concepts
Unit Conversion
Density Calculation
Significant Figures
Temperature Conversion
Formulas
1 km = 0.621371 miles
1 lb = 0.453592 kg
1 ft^3 = 0.0283168 m^3
Density = Mass / Volume
1 m = 39.3701 inches
1 kg = 2.20462 lb
Fahrenheit = (9/5) * Celsius + 32
Theorems
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Suitable Grade Level
Grades 9-12
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