Answer:
The expressions are:
2. [tex]60h+20\ minutes[/tex]
3. [tex]2+\frac{x}{60}\ hours[/tex]
4. [tex]y+0.75\ hours[/tex]
Step-by-step explanation:
The given expressions have to be converted into algebraic expressions.
So,
2. Write an algebraic expression for the total number of minutes in h hours and 20 minutes.
Here,
h is a variable that can have any value but the 20 minutes will remain same with any number of hours.
If h is for hour, the number of minutes in h hours will be: [tex]60*h = 60h[/tex]
And there are also 20 minutes so the algebraic expression is:
[tex]60h+20\ minutes[/tex]
3. Write an algebraic expression for the total number of hours in 2 hours and x minutes.
In order to convert minutes into hour, the minutes are divided by 60
So converting x minutes into hour means
[tex]x\ minutes = \frac{x}{60}\ hours[/tex]
There are 2 hours already so the expression will be:
[tex]2+\frac{x}{60}\ hours[/tex]
4. Write an algebraic expression for the total number of hours in y hours and 45 minutes.
Converting 45 minutes to hours by dividing by 60
[tex]45\ minutes = \frac{45}{60}\ hours = 0.75\ hours[/tex]
The expression is:
[tex]y+0.75\ hours[/tex]
Hence,
The expressions are:
2. [tex]60h+20\ minutes[/tex]
3. [tex]2+\frac{x}{60}\ hours[/tex]
4. [tex]y+0.75\ hours[/tex]