Last semester Jacob spent 1/3 of an hour doing math homework on each evening that he had math homework.he calculated that he spent 27 hours on math homework last semester. On how many evenings did jacob have math homework

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absor201 absor201 · Answer 1 · 2019-12-16T18:03:14+01:00

Jacob had math homework on 81 evenings.

Step-by-step explanation:

Time spent of each evening = 1/3 of an hour

Time spent in minutes = [tex]\frac{1}{3}*60 = 20\ minutes[/tex]

Total time spent = 27 hours

Total time spent in minutes = 27*60 = 1620 minutes

Let,

x be the number of evenings spent doing math homework.

Time spent each day* Number of evenings = Total time spent

[tex]20x=1620[/tex]

Dividing both sides by 20

[tex]\frac{20x}{20}=\frac{1620}{20}\\x=81[/tex]

Jacob had math homework on 81 evenings.

Keywords: multiplication, division

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