Answer:
70%
Step-by-step explanation:
Maths homework takes 1/6×150mins
=150/6=25 mins
science homework takes 20/100×150
=3000/100
=30mins
Language Arts homework uses 1/3×150
=150/3
=50 mins
percent of time left for Marsha's social studies homework=total time used / original time
=(25+30+50)mins
=105mins/150mins×100%
=0.7×100
=70%
There is 30 percent of the time is left for Marsha’s social studies homework.
A percentage is a number or ratio that can be expressed as a fraction of 100.
Marsha spends 150 minutes a night doing homework.
Math homework takes 1/6 of that time.
Science homework takes 20% of that time.
Language Arts homework uses 1/3 of that time.
Math homework takes 1/6 of that time.
[tex]\rm = 150\times \dfrac{1}{6}'\\\\= 25 \ minutes[/tex]
Science homework takes 20% of that time.
[tex]= 150 \times \dfrac{20}{100}\\\\= 15 \times 2\\\\=30[/tex]
Language Arts homework uses 1/3 of that time.
[tex]=150\times \dfrac{1}{3}\\\\= 50 \rm \ m inutes\\[/tex]
The percent of the time is left for Marsha’s social studies homework is;
[tex]= \dfrac{150-35-20-50}{150}\times 100\\\\= \dfrac{45}{150}\times 100\\\\= \dfrac{45}{3} \times 2\\\\=\dfrac{90}{3}\\\\= 30 \rm \ percent \\[/tex]
Hence, there is 30 percent of the time is left for Marsha’s social studies homework.
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