Respuesta :

Answer:

51 and 1/3 hours

Step-by-step explanation:

7 *7 49

1/3*7=7/3=2 1/3 + 49= 51 1/3

ANSWER:  

Arlene is getting [tex]51\frac{1}{3}[/tex] hours of sleep in a week.

SOLUTION:

Given, Arlene sleeps for seven hours and 20 minutes each night

We need find how many hours of sleep does she get in a week as a mixed number?

Now, total sleeping time for each night is 7 hours and 20 minutes

Let us convert hours in to minutes first and then in last we can convert it again to hours.

Sleeping time per one night = 7 hours + 20 minutes

= 7 x 60 minutes + 20 minutes

= 420 + 20 minutes

= 440 minutes

Now, sleeping time per one week = sleeping time per one night x 7 nights

= 440 x 7

= 3080 minutes

Now, sleeping time per week in hours = [tex]\frac{3080 \text { minutes }}{60 \text { minutes }}[/tex]

[tex]=\frac{3060+20}{60}[/tex] [20 is remainder]

[tex]\begin{array}{l}{=51+\frac{20}{60}} \\\\ {=51+\frac{1}{3}} \\\\ {=51 \frac{1}{3}}\end{array}[/tex]

Hence Arlene is getting [tex]51\frac{1}{3}[/tex] hours of sleep in a week.