Convert 12 liters to gallons given that 1 gallon is 3.78 liters. Round your answer to the nearest tenth. gallons on
Convert 12 liters to gallons given that 1 gallon is 3.78 liters. Round your answer to the nearest tenth. gallons on
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![**Converting Liters to Gallons**
When converting from one unit of measurement to another, it's crucial to know the conversion factor. In this case, we need to convert 12 liters to gallons. We are given the conversion factor that 1 gallon is equivalent to 3.78 liters.
**Problem:**
Convert 12 liters to gallons given that 1 gallon is 3.78 liters. Round your answer to the nearest tenth.
**Solution:**
1. Begin with the given information: 12 liters.
2. Use the conversion factor to set up the equation.
\[
\text{Gallons} = \frac{\text{Liters}}{\text{Conversion Factor}}
\]
3. Plug the numbers into the equation:
\[
\text{Gallons} = \frac{12 \text{ liters}}{3.78 \text{ liters/gallon}}
\]
4. Calculate the value:
\[
\text{Gallons} \approx 3.1746
\]
5. Round the answer to the nearest tenth:
\[
\text{Gallons} \approx 3.2
\]
**Answer:**
3.2 gallons
**Interactive Task:**
Please enter your answer in the provided space below.
[ ___ ] gallons](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F308ceb38-0706-4842-834f-0067ef9276f7%2F351344c9-bec8-48ac-9527-ce1706e8e115%2Fu6wgw2u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Converting Liters to Gallons**
When converting from one unit of measurement to another, it's crucial to know the conversion factor. In this case, we need to convert 12 liters to gallons. We are given the conversion factor that 1 gallon is equivalent to 3.78 liters.
**Problem:**
Convert 12 liters to gallons given that 1 gallon is 3.78 liters. Round your answer to the nearest tenth.
**Solution:**
1. Begin with the given information: 12 liters.
2. Use the conversion factor to set up the equation.
\[
\text{Gallons} = \frac{\text{Liters}}{\text{Conversion Factor}}
\]
3. Plug the numbers into the equation:
\[
\text{Gallons} = \frac{12 \text{ liters}}{3.78 \text{ liters/gallon}}
\]
4. Calculate the value:
\[
\text{Gallons} \approx 3.1746
\]
5. Round the answer to the nearest tenth:
\[
\text{Gallons} \approx 3.2
\]
**Answer:**
3.2 gallons
**Interactive Task:**
Please enter your answer in the provided space below.
[ ___ ] gallons
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