Answer :
To find how much the average man weighs, given that it's [tex]\(\frac{1}{1,818}\)[/tex] the weight of a blue whale, we can calculate as follows:
1. Identify the weight of the blue whale:
The average blue whale weighs 300,000 pounds.
2. Determine the fraction of the whale's weight that equals the man's weight:
The average man's weight is [tex]\(\frac{1}{1,818}\)[/tex] of the whale's weight.
3. Calculate the man's weight:
Multiply the whale's weight by this fraction to find the average man's weight:
[tex]\[
\text{Man's weight} = 300,000 \times \frac{1}{1,818}
\][/tex]
Calculating this:
[tex]\[
\text{Man's weight} = \frac{300,000}{1,818}
\][/tex]
[tex]\[
\text{Man's weight} \approx 165.4972376
\][/tex]
4. Convert the decimal to a mixed number:
The result [tex]\(165.4972376\)[/tex] can be expressed as [tex]\(165 \frac{4972376}{10000000}\)[/tex].
To find the equivalent mixed number matching the options, we simplify [tex]\(4972376 / 10000000\)[/tex].
5. Match with given options:
By checking the simplified fraction roughly:
[tex]\[
165 \frac{5}{303}
\][/tex]
This matches closely with the given options.
Conclusion:
The average man weighs approximately [tex]\(165 \frac{5}{303}\)[/tex] pounds, which corresponds to the fourth option: [tex]\(165 \frac{5}{303}\)[/tex] lbs.
1. Identify the weight of the blue whale:
The average blue whale weighs 300,000 pounds.
2. Determine the fraction of the whale's weight that equals the man's weight:
The average man's weight is [tex]\(\frac{1}{1,818}\)[/tex] of the whale's weight.
3. Calculate the man's weight:
Multiply the whale's weight by this fraction to find the average man's weight:
[tex]\[
\text{Man's weight} = 300,000 \times \frac{1}{1,818}
\][/tex]
Calculating this:
[tex]\[
\text{Man's weight} = \frac{300,000}{1,818}
\][/tex]
[tex]\[
\text{Man's weight} \approx 165.4972376
\][/tex]
4. Convert the decimal to a mixed number:
The result [tex]\(165.4972376\)[/tex] can be expressed as [tex]\(165 \frac{4972376}{10000000}\)[/tex].
To find the equivalent mixed number matching the options, we simplify [tex]\(4972376 / 10000000\)[/tex].
5. Match with given options:
By checking the simplified fraction roughly:
[tex]\[
165 \frac{5}{303}
\][/tex]
This matches closely with the given options.
Conclusion:
The average man weighs approximately [tex]\(165 \frac{5}{303}\)[/tex] pounds, which corresponds to the fourth option: [tex]\(165 \frac{5}{303}\)[/tex] lbs.
