hair stylist schedules 1/4 hour to trim a customer care and 1/6 hour to style the customers are there plans to work re and 1/3 hours each day for 5 days each week how many appointments going to hair salty schedule this week because Marie must be trimmed and styled
Well, if a hair stylist schedules 1/4 hour to trim a customer's hair and 1/6 hour to style it, we can add these two times together to get the time needed for a complete appointment. So that would be 1/4 + 1/6 = 5/12 hour.
Now, if the stylist plans to work for 1/3 hours each day for 5 days each week, we can multiply these two values together to find the total hours available in a week. So that would be 1/3 * 5 = 5/3 hours.
To figure out how many appointments the hair stylist can schedule in a week, we can divide the total available hours by the time needed for each appointment. So that would be (5/3) / (5/12) = (5/3) * (12/5) = 4.
So it looks like the hair stylist can schedule 4 appointments this week. Don't worry, Marie will get her trim and style!
To determine the number of appointments the hair stylist will schedule in a week, we need to calculate the total time needed for each appointment.
To trim a customer's hair, the stylist schedules 1/4 hour, and to style the customer's hair, they schedule 1/6 hour. So, the total time per appointment can be calculated as follows:
Total time per appointment = Time for trimming + Time for styling
= 1/4 hour + 1/6 hour
We need to find the least common multiple (LCM) of 4 and 6 to add the fractions:
LCM of 4 and 6 = 12
So, the total time per appointment is:
Total time per appointment = (1/4) * (3/3) + (1/6) * (2/2)
= 3/12 + 2/12
= 5/12 hour.
Now, let's calculate the total available working hours in a week:
Total working hours in a week = Time per day * Number of days in a week
= 1/3 hour * 5 days
= 5/3 hour.
To find the number of appointments that can be scheduled, we can divide the total available working hours by the total time per appointment:
Number of appointments = Total working hours in a week / Total time per appointment
= (5/3) hour / (5/12) hour
= (5/3) * (12/5)
= 4.
Therefore, the hair stylist can schedule 4 appointments in a week.
To find out how many appointments the hair stylist will schedule this week, we need to calculate the time required for each customer and then divide the total available working hours by the time for each appointment.
Step 1: Calculate the total time required for each appointment
The hair stylist schedules 1/4 hour to trim a customer and 1/6 hour to style the customer's hair. We need to find the combined time required to trim and style each customer's hair:
Total time required per appointment = Time to trim + Time to style
Total time required per appointment = 1/4 hour + 1/6 hour
To add these fractions together, we need a common denominator. In this case, the least common denominator is 12:
Total time required per appointment = (1/4)(3/3) + (1/6)(2/2)
Total time required per appointment = 3/12 + 2/12
Total time required per appointment = 5/12 hour
Step 2: Calculate the total available working hours for the week
The stylist plans to work 1/3 hours each day for 5 days each week. To find the total available working hours for the week, we need to multiply the daily working hours by the number of days worked:
Total available working hours per week = Daily working hours * Number of days worked
Total available working hours per week = (1/3 hour/day) * 5 days
Total available working hours per week = 5/3 hours
Step 3: Calculate the number of appointments scheduled
To determine the number of appointments scheduled, we divide the total available working hours per week by the time required per appointment:
Number of appointments scheduled = Total available working hours per week / Total time required per appointment
Number of appointments scheduled = (5/3 hours) / (5/12 hours)
Number of appointments scheduled = (5/3) * (12/5)
Number of appointments scheduled = 20/15
Number of appointments scheduled = 4/3
Since we can't schedule fractional appointments, the hair stylist will schedule a total of 1 full appointment this week.
Therefore, the hair stylist will schedule 1 appointment this week for Marie to be trimmed and styled.