What expression converts 100 inches per minute to feet per minute?
1 answer:
1 foot= 12 inches.
To convert you must have "2 fractions" to multiply.
Your first fraction must be 100in/1min. (100 inches per 1 minute).
The second should serve to convert inches to feet. It should be 1 foot/ 12 inches. (1 foot per 12 inches).
Your product should be 100ft/12 which equals 8.3 repeating or 25/3 (8 1/3) feet.
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Any number inside the modulus sign becomes positive. This means and so we have,
Solving these gives us
However if we check the second solution in the original equation we obtain . This is false and so
can't be a solution.
Therefore the only solution is .
(Note: I'm not sure why the second solution didn't work but when there's a modulus sign involved it always pays to check your final answers to be sure. I'll have a think about it but in case you find out before I do, I'd be interested to know in the comments.)
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