To solve the problem of [tex]\(349 \, \text{lb} \, 6 \, \text{oz} \div 130\)[/tex], we need to follow these steps:
1. Convert the total weight into ounces:
- There are 16 ounces in a pound.
- Convert 349 pounds to ounces: [tex]\(349 \times 16 = 5584 \, \text{oz}\)[/tex].
- Add the 6 ounces: [tex]\(5584 \, \text{oz} + 6 \, \text{oz} = 5590 \, \text{oz}\)[/tex].
- So, the total weight in ounces is 5590 ounces.
2. Perform the division:
- Divide the total ounces by 130:
[tex]\[
5590 \, \text{oz} \div 130 = 43 \, \text{oz}
\][/tex]
3. Convert the quotient back to pounds and ounces:
- There are 16 ounces in a pound.
- Determine the number of pounds: [tex]\(\lfloor 43 \div 16 \rfloor = 2 \, \text{lb}\)[/tex]
- Determine the remaining ounces:
[tex]\[
43 \, \text{oz} - (2 \times 16) = 43 \, \text{oz} - 32 \, \text{oz} = 11 \, \text{oz}
\][/tex]
- Therefore, 43 ounces is equivalent to 2 pounds and 11 ounces.
So, the result of dividing [tex]\(349 \, \text{lb} \, 6 \, \text{oz} \div 130\)[/tex] is [tex]\(2 \, \text{lb} \, 11 \, \text{oz}\)[/tex].
The correct answer is:
- [tex]\(\boxed{2 \, \text{lb} \, 11 \, \text{oz}}\)[/tex]
