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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?​

Respuesta :

zoem24

Answer:  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

Parrain

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

  • a. 5 / 12
  • b. 10 hours

Fraction of Day Awake at Home

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

Number of Hours Awake at Home

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 https://brainly.com/question/14966488.

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