Respuesta :
So one is 2 3/4 an hour is 60min so 60 divided by four is 15 min and 15 times 3 is 45 min 2 hours is 120 mins so 120 plus 45 is 165 mins there another one is 5 hours and 1/2 hour and 1/2 of 60 is 30 5 hours equals 300 mins plus 30 equals 330 and finally there is 3 hours and 3/5 of an hour 60 divided by 5 equals 12 times 3 is 36 , 3 hours equals 180 mins plus 36 equals 216 min so add all mins from each day is 165 plus 330 plus 216 equals 711 mins divided by 60 or by 1 hour equals 11 and a half or 12 hours ( depends if you round the final number of 11.85 or not)
Answer:
[tex]3\frac{19}{20}=3.95[/tex] days.
Step-by-step explanation:
Let n represent number of hours Trina will work each day this week.
We have been given that Trina always works three days a week. This week she worked 2 3/4 hours on Monday, 3 3/5 hours on Friday, and 5 1/2 hours on Saturday.
[tex]\text{Total hours worked by Trina this week}=2\frac{3}{4}+3\frac{3}{5}+5\frac{1}{2}[/tex]
[tex]\text{Total hours worked by Trina this week}=\frac{11}{4}+\frac{18}{5}+\frac{11}{2}[/tex]
Make a common denominator:
[tex]\text{Total hours worked by Trina this week}=\frac{11*5}{4*5}+\frac{18*4}{5*4}+\frac{11*10}{2*10}[/tex]
[tex]\text{Total hours worked by Trina this week}=\frac{55}{20}+3\frac{72}{20}+\frac{110}{20}[/tex]
[tex]\text{Total hours worked by Trina this week}=\frac{55+72+110}{20}[/tex]
[tex]\text{Total hours worked by Trina this week}=\frac{237}{20}[/tex]
Since Trina works three days per week, so number of hours worked in 3 days would be [tex]3n[/tex].
The number of hours worked by next week will be equal to number of hours worked this week, so:
[tex]3n=\frac{237}{20}[/tex]
[tex]\frac{3n}{3}=\frac{237}{20*3}[/tex]
[tex]n=\frac{79*3}{20*3}[/tex]
[tex]n=\frac{79}{20}[/tex]
[tex]n=3\frac{19}{20}=3.95[/tex]
Therefore, Trina will work [tex]3\frac{19}{20}[/tex] days or 3.95 days next week.
