📘 unit conversion
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.
Mps To Kmph
1. **State the problem:** Convert 20 metres per second (m/s) to kilometres per hour (km/h) using the given number machine rule.
2. **Formula used:** To convert from m/s to km/h, mu
Height Conversion
1. **Problem 9: Convert Alia's height from inches to centimeters.**
We know Alia's height is 56 inches.
Km To Meters
1. The problem is to convert a length from kilometers to meters.
2. We know that 1 kilometer equals 1000 meters.
Kg To Hg
1. The problem is to convert 0.23 kilograms (kg) to hectograms (hg).
2. Recall the conversion factor: 1 kilogram = 10 hectograms.
Pint To Ml
1. The problem is to convert 0.25 pt (pint) to ml (milliliters).
2. We use the conversion factor: 1 US pint = 473.176 ml.
Percent To Mm
1. The problem asks to convert 21% into millimeters.
2. Percent means per hundred, so 21% is $\frac{21}{100}$.
Road Trip Days
1. **State the problem:** Harper wants to drive a total of 1600 kilometres but will only drive a maximum of 225 miles each day. We need to find how many whole days Harper will need
Feet Inches
1. The problem asks to calculate feet and inches, but no specific measurements or numbers were provided.
2. To convert a length to feet and inches, you typically start with a measu
Mm To Meters
1. The problem is to convert 89 millimeters (mm) to meters (m) correctly.
2. Recall the conversion factor: 1 meter = 1000 millimeters.
Time To Seconds
1. Convert each time duration to seconds by using the conversions: 1 hour = 3600 seconds, 1 minute = 60 seconds, 1 day = 86400 seconds, 1 week = 604800 seconds.
2. Calculate each c
Unit Conversion
1. **State the problem:** Convert 28 grams per nanometer cubed (g/nm³) to kilograms per centimeter cubed (kg/cm³).
2. **Understand the units:**
Length Addition
1. **Stating the problem:** We need to add the lengths given in different units: 0.75 m, 231 dam, 25000 mm, 2.25 dm, and 1.94 hm, then find the correct total length from the given
Length Addition
1. Stating the problem: We need to add the lengths given in different units: 0.75 m, 231 dam, 25000 mm, 2.25 dm, and 1.94 hm.
2. Convert all units to meters (m) for easy addition:
Mpg To Kmpl
1. **State the problem:** Convert 54 miles per gallon (mpg) into kilometres per litre (km/L).
2. **Given conversions:**
Flow Rate Conversion
1. The problem asks to convert a flow rate from millilitres per second to litres per hour.
2. We start with the given rate: 240 millilitres per second.
Ml To Liters
1. **State the problem:** Convert 450 milliliters (mL) to liters (L).
2. **Recall the conversion factor:** 1 liter (L) = 1000 milliliters (mL).
Grapefruit Juice Volume
1. The problem states that the factory produced $0.07 \text{ m}^3$ of grapefruit juice and $4000 \text{ cm}^3$ was removed for quality testing. We need to find out how much is left
Office Area
1. Let's start by stating the problem: We know Tina's office area is 8.2 m².
2. Bill's office area is 7100 cm² larger than Tina's office.
Mass Conversion
1. The problem asks to convert 5 kilograms and 5 grams into grams.
2. We know that 1 kilogram equals 1000 grams.
Unit Conversion
1. Stating the problem: Convert $3\,\text{dm} + 4\,\text{cm}$ into centimeters.
2. Recall the unit conversions: 1 decimeter (dm) = 10 centimeters (cm).
Height Weight Conversion
1. **State the problem:** Convert height from feet and inches to meters, and weight from pounds to kilograms.
2. **Convert height:** The player is 6 ft 10 1/5 in tall. First, conve