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Madison has reserved x hours this week for activities. He uses 1/4 of his hours for basketball. He uses 1/3 of his hours to practice playing his saxophone. Write an expression to show how much time he has left for other activities.

Respuesta :

Answer:

Time left for Madison for other activities is [tex]\frac{5x}{12}[/tex] h .

Step-by-step explanation:

Given as :

The time reserved by Madison for activities = x hours

The time uses for basketball = [tex]\frac{1}{4}[/tex] of x = [tex]\frac{x}{4}[/tex] h

The time uses for playing saxophone = [tex]\frac{1}{3}[/tex] of x = [tex]\frac{x}{3}[/tex] h

So , The total time used by him = [tex]\frac{x}{4}[/tex] h +  [tex]\frac{x}{3}[/tex] h

I.e The total time used by him =  [tex]\frac{7x}{12}[/tex] h

Now, The time left for other activities = x h -   [tex]\frac{7x}{12}[/tex] h

I.e  The time left for other activities =  [tex]\frac{12x - 7x}{12}[/tex] h

or,  The time left for other activities =  [tex]\frac{5x}{12}[/tex] h

Hence Time left for Madison for other activities is [tex]\frac{5x}{12}[/tex] h . Answer

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