Question

Choose all that give the correct expression for the quantity described.

The difference of nine times a number x and the quotient of that number and 5.

Answer 1

`(44x)/(5)`

Explanation:

The given statement is " The difference of nine times a number x and the quotient of that number and 5 "

Nine time of the number x = 9x

Quotient of the number x and 5 =
`(x)/(5)`

Now Difference of these two statements will be = 9x -
`(x)/(5)`

By simplifying it further

9x -
`(x)/(5)` =
`(45x-x)/(5)=(44x)/(5)`

Therefore, algebraic expression will be
`(44x)/(5)`

Answer 2

`9x - (x)/(5) = (44x)/(5)`

Explanation:

We have to convert the given statement into an expression. We can do this by breaking it into smaller parts.

The Difference of "Nine times a number x" and "The quotient of that number and 5"

So, the overall expression is difference of two terms. The first term is:

Nine Times a number x. This can be expressed as 9x.

The second term is:

Quotient of that number and 5. The number is x. So the second term is:

Quotient of x and 5. Quotient means division. Thus the expression becomes:

`(x)/(5)`

Now we can set up the entire expression as:

`9x - (x)/(5)`

By taking LCM, we can also expression this in a single fraction as:

`(45x-x)/(5)=(44x)/(5)`