Question

2. Write an algebraic expression for the total number of minutes in h hours and 20 minutes.

3. Write an algebraic expression for the total number of hours in 2 hours and x minutes.
4. Write an algebraic expression for the total number of hours in y hours and 45 minutes.

Answer 1

The expressions are:

2.
`60h+20\ minutes`

3.
`2+(x)/(60)\ hours`

4.
`y+0.75\ hours`

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:
`60*h = 60h`

And there are also 20 minutes so the algebraic expression is:

`60h+20\ minutes`

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

`x\ minutes = (x)/(60)\ hours`

There are 2 hours already so the expression will be:

`2+(x)/(60)\ hours`

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

`45\ minutes = (45)/(60)\ hours = 0.75\ hours`

The expression is:

`y+0.75\ hours`

Hence,

The expressions are:

2.
`60h+20\ minutes`

3.
`2+(x)/(60)\ hours`

4.
`y+0.75\ hours`