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Answer:
373 feet
Step-by-step explanation:
Since the rate of the machine producing ribbon is proportional to time, we can determine the number of inches of ribbon in 8 hours by some quick operations.
There are 16 1/2 hours in 8 hours, so we can multiply 280 by 16.
[tex]280 *16=4480[/tex]
Now, we have the number of inches it can produce in an 8-hour work day. However, we must convert to feet since that is the form of measurement the question is asking for. We can do so by dividing by 12.
[tex]4480/12=373.33[/tex]
Therefore, the number of feet the machine can produce in an 8-hour work day is 373.
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Step-by-step explanation:
the other answer is correct.
a few add-ons :
1 ft = 12 in
30 minutes = 1/2 hour (as every hour has 60 minutes)
every hour has therefore 2 half hours.
1 hour = 2 × 1/2 hour
8 hours = 8 × 2 × 1/2 hours = 16 × 1/2 hour
so, in 16 times the amount of time (8 hours) the machine can produce 16 times the amount of ribbon (16 × 280 in).
16 × 280 = 4480 in
and because every 12 in is 1 ft, this is then
4480/12 = 373.3333333... ft
therefore, 373 is the right answer (rounded).