Allison practices her violin for at least 12 hours per week. she practices for three fourths of an hour each session. If Allison has already practiced 3 hours this week. How many more sessions remain for her to meet or exceed her weekly practice goal? Pls help! 100 pts for an 100 on this question

Answer:

Allison needs at least 12 more sessions to reach the goal

Step-by-step explanation:

The first thing we must do for this case is to define a variable

We have then:

x: number of sessions.

We write now the inequality that represents the problem.

We have then:

(3/4) x + 3 > 12

From here, we clear the value of x:

(3/4) x > 12 - 3 (3/4)x > 9x >(4/3) * 9x > 12

Answer:

12 more sessions

Step-by-step explanation:

a session is 3/4 of an hour, which is 45 mins. Allison needs to practice 12 hours a week, 720 minutes. If we divide 720 by 45, we get 16, which is the number of session Allison needs to do in order to reach her goal.
Since she already practiced 3 hours, we can find out how many sessions she already completed by dividing 180 by 45. The answer is 4. Now all we need to do is subtract 4 from 16 to find out how many sessions she has left. 16-4 is 12, so we have our answer.

Hope this helped!

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