3. Jessica is awake 2/3 of the day. She spends 5/8 of this time at home
a) What fraction of the day is Jessica awake at home?
b) How many hours is Jessica awake at home?

Based on the proportion of the day spent awake and at home, the following are true:

To find this, use the formula:

= Proportion of day awake x Proportion of day at home

= 2 / 3 x 5/8

= 10/24

= 5 / 12

This can be found as:

= Fraction of hours awake at home x Number of hours in a day

= 5 / 12 x 24

= 10 hours

In conclusion, Jessica is awake and at home 10 hours of the day.

Find out more about proportions at link.

 a. 5/12     b. 10 hours

Step-by-step explanation:

5/8 x 2/3 = 10/24 = 5/12

she spends 5/12 of the day awake at home

if a day has 24 hours then 5/12 of that is 5/12 x 24 = 10

so she spends 10 hours awake at home

i'm pretty sure it's 477,585,296, but perhaps my math is incorrect.

(x+3)(x+7)

step-by-step explanation: