Respuesta :
Answer:
He must spend no more that 25 minutes practising scales.
Step-by-step explanation:
5t + 35 ≤ 60
5t ≤ 25
t ≤ 5.
So the maximum time for practising the scales is 5*5 = 25 minutes.
Answer:
Sven should spend 5 minutes or less on each scale. Maximum times is 25 minutes.
Step-by-step explanation:
Total time to practice piano = 60 minutes
He would like to spend at least 35 minutes playing songs instead of practicing scales.
Let t is the number of minutes he spends on each scale.
The time spend on 5 scales = 5t
Time for playing songs = 60 - 5t
It is given that he would like to spend at least 35 minutes playing songs instead of practicing scales. It means time for playing songs is greater than or equal to 35.
[tex]60-5t\geq 35[/tex]
Subtract 60 from both sides.
[tex]60-5t-60\geq 35-60[/tex]
[tex]-5t\geq -25[/tex]
Divide both sides by -5. If an inequality is divided or multiplied by a negative number, then the sign of inequality is changed.
[tex]t\leq 5[/tex]
Sven should spend 5 minutes or less on each scale.
The maximum value of t is 5, so the maximum time spend on practicing scales is
[tex]\text{Maximum time}=5t\Rightarrow 5(5)=25[/tex]
Therefore, the maximum time is 25 minutes.
