Answer:
[tex]5\frac{22}{25}\ hours[/tex]
Step-by-step explanation:
we know that
[tex]4\frac{1}{5}\ hours=\frac{4*5+1}{5}=\frac{21}{5}\ hours[/tex]
[tex]100\%+40\%=140\%=\frac{140}{100}[/tex]
Let
x ------> new battery life
The equation that represent this situation is
[tex]x=\frac{140}{100} (\frac{21}{5})=\frac{2,940}{500}\ hours[/tex]
convert to mixed number
[tex]\frac{2,940}{500}=\frac{2,500}{500}+\frac{440}{500}=5\frac{22}{25}\ hours[/tex]
