Math Problem Statement
Homework_Measurements.pdf
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Solution
The document you provided includes a series of unit conversion and measurement questions. Here’s a quick breakdown of each problem along with the methods or formulas required for their solutions:
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0.65 miles to feet: Use the conversion .
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3.01 meters to centimeters: Use .
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0.87 milligrams to kilograms: Use .
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0.87 kiloliters to liters: Use .
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120 fluid ounces to gallons: Use .
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13 weeks to days: Use .
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5.75 dozen eggs to eggs: Use .
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0.65 square miles to acres: Use .
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5 kilometers to miles: Use .
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76 quarts to gallons: Use .
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18 yards to feet: Use .
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1.80 meters to centimeters: Use .
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283 milliliters to liters: Use .
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35.6 milliliters to liters: Use .
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948 millimeters to centimeters: Use .
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1.25 miles to feet: Use .
17-20. These questions focus on selecting appropriate units or approximate values based on common measurements.
21-23. These involve more complex calculations:
- Question 21: Convert Usain Bolt’s speed in meters per second to miles per hour.
- Question 22: Calculate average pace in different units and projected times/distances based on a given pace.
- Question 23: Calculate the length of Harvard Bridge in feet using a unique measurement unit called “smoots.”
If you'd like solutions for specific questions or further breakdowns, let me know!
Expanded Practice Questions
- Convert 2.5 miles to kilometers.
- Express 500 grams in pounds.
- How many inches are in 1.75 meters?
- A recipe calls for 4 cups of flour. Convert this to liters.
- If a runner averages 6 minutes per kilometer, how long will it take them to run 5 miles?
Tip
For unit conversions, make sure you’re consistent with units throughout the calculations and double-check conversion factors.
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Math Problem Analysis
Mathematical Concepts
Unit Conversion
Measurement Analysis
Speed and Pace Calculations
Formulas
1 mile = 5280 feet
1 meter = 100 centimeters
1 kilogram = 1,000,000 milligrams
1 kiloliter = 1000 liters
1 gallon = 128 fluid ounces
1 week = 7 days
1 dozen = 12 units
1 square mile = 640 acres
1 mile = 1.609 kilometers
1 yard = 3 feet
1 liter = 1000 milliliters
1 centimeter = 10 millimeters
Theorems
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Suitable Grade Level
Grades 9-12
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