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Question
- larry needs to make as many 12 inch strips as possible from a 125 m roll of wire. how many can he make? hint: start with what you know...do you know how many strips, or how much wire you have? second: use dimensional analysis and conversion factors to arrive at your answer. (7 points) you must show all your work to receive full credit.
Step1: Convert meters to inches
We know that 1 meter = 39.37 inches. So, to convert 125 meters to inches, we multiply 125 by 39.37.
$125\ m\times\frac{39.37\ in}{1\ m}=125\times39.37\ in = 4921.25\ in$
Step2: Calculate number of 12 - inch strips
To find the number of 12 - inch strips, we divide the total length in inches by 12. Let the number of strips be $n$.
$n=\frac{4921.25\ in}{12\ in/strip}\approx410.104$
Since we can't have a fraction of a strip, we take the floor of the number, so we can make 410 strips.
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Larry can make 410 strips.