Frank created a circle graph to show how he spent his time one day. He spent 8 hours at school, 8 hours sleeping, and the rest of the time hanging out at home. What percentages will be included in his circle graph?

Question

17-08-2017
Mathematics

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Frank created a circle graph to show how he spent his time one day. He spent 8 hours at school, 8 hours sleeping, and the rest of the time hanging out at home. What percentages will be included in his circle graph?

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calculista calculista · Answer 1 · 2018-12-07T23:41:33+01:00

Answer:

The three percentages are the same and equal to [tex]33.33\%[/tex]

Step-by-step explanation:

Let

x------> is the time hanging out at home

y------> is the time he spends sleeping

z------> is the time he spends in school.

we know that

One day has [tex]24[/tex] hours

so

[tex]x+y+z=24[/tex]

[tex]y=8\ hours[/tex]

[tex]z=8\ hours[/tex]

Substitute the values and solve for x

[tex]x+8+8=24[/tex]

[tex]x=24-16=8\ hours[/tex]

Find the percentages

[tex]x=\frac{8}{24}*100=33.33\%[/tex]

[tex]y=\frac{8}{24}*100=33.33\%[/tex]

[tex]z=\frac{8}{24}*100=33.33\%[/tex]

The three percentages are the same and equal to [tex]33.33\%[/tex]

MrRoyal MrRoyal · Answer 2 · 2022-02-07T14:41:24+01:00

The percentages will be included in his circle graph is 33%

The given parameters are:

School = 8 hours

Sleep = 8 hours

Given that there are 24 hours in a day, the time spent hanging out at home is calculated as:

Home = 24 - School - Sleep

This gives

Home = 24 - 8 - 8

Home = 8

So, we have:

School = 8 hours

Sleep = 8 hours

Home = 8 hours

The above shows that he spends the same amount of time in the three tasks; this means that each task will have the same percentage

So, the percentage is then calculated as:

[tex]Percentage = \frac{8}{24} * 100\%[/tex]

[tex]Percentage = 33\%[/tex]

Hence, the percentages will be included in his circle graph is 33%