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
Answer:
Step-by-step explanation:
The equation being shown in the question is the absolute value of x. Absolute values when graphed show up as a V-shaped graph pointing upwards. This is because whatever value is passed as an input will output a positive, regardless of whether the input is positive or negative. Meaning that both 4 and -4 will output 4. That is why the graph is a V-shaped because the outputs repeat for both positive and negative inputs. In this case since the negative is outside the absolute value brackets the positive value given from the absolute value of the input will be turned into a negative. So this will cause the V-shape graph to be reflected across the x-axis. As seen in the attached picture below.
Answer:
3+4p+8t
Step-by-step explanation:
We have been given an expression:
3+2(2p+4t)
We will simplify the equation:
Firstly, we will open the parenthesis by multiplying it with the 2 given outside of the parenthesis we get:
3+4p+8t
Since, we have two variables so it can not be further solved therefore,
This is the maximum simplification of the given expression.
Answer:
true
Step-by-step explanation:
the segment ¯AB¯ is congruent to the segment ¯BC¯