Katherine spends 7 h a day in school. This includes a 30 min lunch break each day.

a) Write a ratio that compares the time for her lunch break with the total time she spends at school each day.
b) Write a ratio that compares the time for her lunch breaks for a week with the total time she spends at school each week.
c) Determine the number of hours of lunch break she has in a month of school days.

a) 30:420

b) 150:2100
c) 10 h

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i need help with a question

a) To write a ratio that compares the time for Katherine's lunch break with the total time she spends at school each day, we need to find the ratio of the lunch break time to the total time.

Katherine spends 7 hours in school each day, which includes a 30-minute lunch break. To convert 30 minutes to hours, we divide it by 60 since there are 60 minutes in an hour.

30 minutes ÷ 60 = 0.5 hours

So, she spends 0.5 hours for her lunch break each day.

Now, we can write the ratio:
Lunch Break Time : Total Time = 0.5 hours : 7 hours

b) To write a ratio that compares the time for Katherine's lunch breaks for a week with the total time she spends at school each week, we need to find the ratio of the lunch break time for a week to the total time for a week.

We know that Katherine spends 7 hours in school each day, including a 30-minute lunch break. To find the total time she spends at school each week, we multiply the daily time by the number of school days in a week. Let's assume there are 5 school days in a week.

Total time for a week = Total time per day × Number of school days per week
Total time for a week = 7 hours × 5 days
Total time for a week = 35 hours

To find the time for Katherine's lunch breaks for a week, we multiply the lunch break time per day by the number of school days in a week.

Lunch break time for a week = Lunch break time per day × Number of school days per week
Lunch break time for a week = 0.5 hours × 5 days
Lunch break time for a week = 2.5 hours

Now, we can write the ratio:
Lunch Break Time for a week : Total Time for a week = 2.5 hours : 35 hours

c) To determine the number of hours of lunch break she has in a month of school days, we need to know the number of school days in a month.

Let's assume there are 20 school days in a month.

To find the number of hours of lunch break she has in a month, we multiply the lunch break time per day by the number of school days in a month.

Lunch break time in a month = Lunch break time per day × Number of school days in a month
Lunch break time in a month = 0.5 hours × 20 days
Lunch break time in a month = 10 hours

So, Katherine has 10 hours of lunch break in a month of school days.

a) 0.5/7

Please try the other two problems, and someone will check your work.