A dollar bill is 6.14 inches long, 2.61 inches wide, and 0.0043 inches thick. If you laid 4.75-million-dollar bills end to end, how many miles would the trail be (to the nearest mile)?
The correct answer and explanation is :
To find out how many miles a trail of 4.75 million dollar bills laid end to end would be, we need to follow these steps:
Step 1: Determine the length of one dollar bill.
We are told the length of a single dollar bill is 6.14 inches.
Step 2: Calculate the total length of the 4.75 million dollar bills.
Since each dollar bill is 6.14 inches long, the total length of 4.75 million dollar bills can be calculated by multiplying the number of bills by the length of each bill:
[
\text{Total length} = 4.75 \times 10^6 \times 6.14 \text{ inches}
]
[
\text{Total length} = 29,235,000 \text{ inches}
]
Step 3: Convert the total length from inches to miles.
There are 63,360 inches in one mile (since 1 mile = 5,280 feet and 1 foot = 12 inches):
[
1 \text{ mile} = 5,280 \times 12 = 63,360 \text{ inches}
]
To convert the total length in inches to miles, we divide the total length by the number of inches in a mile:
[
\text{Total length in miles} = \frac{29,235,000 \text{ inches}}{63,360 \text{ inches per mile}}
]
[
\text{Total length in miles} \approx 461.0 \text{ miles}
]
Step 4: Round to the nearest mile.
Since 461.0 miles is already an integer, the total length of the trail of 4.75 million dollar bills laid end to end is approximately 461 miles.
Explanation:
This problem involves basic multiplication and conversion. First, we calculated the total length of 4.75 million bills by multiplying the number of bills by the length of one bill. Then, we converted inches to miles by using the conversion factor of 63,360 inches per mile. This gave us the final result, which is approximately 461 miles.
Thus, the trail of 4.75 million dollar bills laid end to end would span about 461 miles.