28 appointments can be scheduled each week if each customer must be trimmed and styled
<em><u>Solution:</u></em>
From given,
![Time\ to\ trim\ hair = \frac{1}{4}\ hour](https://tex.z-dn.net/?f=Time%5C%20to%5C%20trim%5C%20hair%20%3D%20%5Cfrac%7B1%7D%7B4%7D%5C%20hour)
![Time\ to\ style\ hair = \frac{1}{6}\ hour](https://tex.z-dn.net/?f=Time%5C%20to%5C%20style%5C%20hair%20%3D%20%5Cfrac%7B1%7D%7B6%7D%5C%20hour)
<em><u>Therefore, total time taken for each customer hair to be trimmed and styled is:</u></em>
![Total\ time = \frac{1}{4} + \frac{1}{6} = \frac{6+4}{24} = \frac{10}{24}\ hours\\\\Convert\ to\ minutes\\\\1\ hour = 60\ minutes\\\\Therefore\\\\\frac{10}{24}\ hour = \frac{10}{24} \times 60\ minutes = 25\ minutes](https://tex.z-dn.net/?f=Total%5C%20time%20%3D%20%5Cfrac%7B1%7D%7B4%7D%20%2B%20%5Cfrac%7B1%7D%7B6%7D%20%3D%20%5Cfrac%7B6%2B4%7D%7B24%7D%20%3D%20%5Cfrac%7B10%7D%7B24%7D%5C%20hours%5C%5C%5C%5CConvert%5C%20to%5C%20minutes%5C%5C%5C%5C1%5C%20hour%20%3D%2060%5C%20minutes%5C%5C%5C%5CTherefore%5C%5C%5C%5C%5Cfrac%7B10%7D%7B24%7D%5C%20hour%20%3D%20%5Cfrac%7B10%7D%7B24%7D%20%5Ctimes%2060%5C%20minutes%20%3D%2025%5C%20minutes)
Thus, each customer trim and style = 25 minutes
Given that,
The hairstylist plans to work 2 1/3 hours each day for 5 days each week
Then, for 5 days, the hairstyist will work for:
![Total\ working\ time\ of\ hairstylist = 2\frac{1}{3} \times 5\ hours\\\\\rightarrow \frac{7}{3} \times 5\ hour\\\\Convert\ to\ minutes\\\\\rightarrow \frac{7}{3} \times 5 \times 60\ minutes = 700\ minutes](https://tex.z-dn.net/?f=Total%5C%20working%5C%20time%5C%20of%5C%20hairstylist%20%3D%202%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%205%5C%20hours%5C%5C%5C%5C%5Crightarrow%20%5Cfrac%7B7%7D%7B3%7D%20%5Ctimes%205%5C%20hour%5C%5C%5C%5CConvert%5C%20to%5C%20minutes%5C%5C%5C%5C%5Crightarrow%20%5Cfrac%7B7%7D%7B3%7D%20%5Ctimes%205%20%5Ctimes%2060%5C%20minutes%20%3D%20700%5C%20minutes)
Thus hairstylist will work for 700 minutes each week
<em><u>Total number of appointments:</u></em>
Total number of appointments for each week is found by dividing the working time of hair stylist for each week divided by time spent for each customer for trim and styled
![Number\ of\ appointment = \frac{700}{25} = 28](https://tex.z-dn.net/?f=Number%5C%20of%5C%20appointment%20%3D%20%5Cfrac%7B700%7D%7B25%7D%20%3D%2028)
Thus 28 appointments can be made
Answer:
x=3/2
Step-by-step explanation:
<span>So we wan't to get the value of x in the equation x/35=7. To get x we need to multiply both sides of the equation with 35 and then we get: x=7*35. So after multiplying we get x= 245. To check the solution lets divide 245/7=35. So the correct answer is b. 245.</span>
Answer:
c, 10
Step-by-step explanation:
12 is about 10
n - the larger of two i ntegers
m - the smaller of two integers
n + m = 74 → n = 74 - m
n = 2m + 26
Therefore we have:
2m + 26 = 74 - m |subtract 26 from both sides
2m = 48 - m |add m to both sides
3m = 48 |divide both sides by 3
m = 16
n = 74 - 16 = 58
Answer: 16 and 58.