QuestionIf 10 million dollar bills (6.14 inches each) are laid end-to-end, how many times around the 84-mile I-275 loop does this cover? Round to 1 decimal.

Studdy Solution

STEP 1

Assumptions1. The length of a dollar bill is6.14 inches. The length of the I-275 highway loop is84 miles3. We are laying ten million dollar bills end-to-end lengthwise4.1 mile =63,360 inches

STEP 2

First, we need to find the total length of ten million dollar bills laid end-to-end. We can do this by multiplying the length of a single dollar bill by the number of bills.
$Total\, length\, of\, bills = Length\, of\, a\, dollar\, bill \\times Number\, of\, bills$

STEP 3

Now, plug in the given values for the length of a dollar bill and the number of bills to calculate the total length of the bills.
$Total\, length\, of\, bills =6.14\, inches \\times10,000,000$

STEP 4

Calculate the total length of the bills.
$Total\, length\, of\, bills =6.14\, inches \\times10,000,000 =61,400,000\, inches$

STEP 5

Now, we need to convert the length of the I-275 highway loop from miles to inches. We can do this by multiplying the length in miles by the number of inches in a mile.
$Length\, of\, I-275\, in\, inches = Length\, of\, I-275\, in\, miles \\times Number\, of\, inches\, in\, a\, mile$

STEP 6

Plug in the given values for the length of I-275 in miles and the number of inches in a mile to calculate the length of I-275 in inches.
$Length\, of\, I-275\, in\, inches =84\, miles \\times63,360\, inches$

STEP 7

Calculate the length of I-275 in inches.
$Length\, of\, I-275\, in\, inches =84\, miles \\times63,360\, inches =5,322,240\, inches$

STEP 8

Now that we have the total length of the bills and the length of I-275 in inches, we can find how many times the line of bills would go around the loop. We do this by dividing the total length of the bills by the length of I-275 in inches.
$Number\, of\, loops = Total\, length\, of\, bills / Length\, of\, I-275\, in\, inches$

STEP 9

Plug in the values for the total length of the bills and the length of I-275 in inches to calculate the number of loops.
$Number\, of\, loops =61,400,000\, inches /5,322,240\, inches$

STEP 10

Calculate the number of loops.
$Number\, of\, loops =61,400,000\, inches /5,322,240\, inches =.5$ If you laid ten million dollar bills end-to-end lengthwise, the line of bills would reach around Cincinnati's I-275 highway loop approximately.5 times.

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