Question

Choose any four (4) of the following five problems to solve. Show all work leading to your answer. 1. Randy drives his car to work each day. Suppose the expression 6 6 x x3 represents the total time it takes Randy to drive to work in a day, where x represents the average speed of the car in miles per hour, during the first part of the drive. a. Use addition to simplify the expression 6 6 x x3 . Show all the steps necessary to write the expression with a common denominator and to simplify the expression.

Answer 1

`(8)/(x)` is answer.

Explanation:

Correct Question Statement

Randy drives his car to work each day. Suppose the expression
`(6)/(x) +(6)/(3x)` represents the total time it takes Randy to drive to work in a day, where x represents the average speed of the car in miles per hour, during the first part of the drive. a. Use addition to simplify the expression
`(6)/(x) +(6)/(3x)` . Show all the steps necessary to write the expression with a common denominator and to simplify the expression.

ANSWER

`(6)/(x)`

by simplifying denominator of above expression, we multiply it with
`(3)/(3)`

Thus, it becomes:

=
`(6)/(x)` *
`(3)/(3)`

=
`(6*3)/(3*x)`

=
`(18)/(3x)`

Now we can add both expressions:

`(18)/(3x) + (6)/(3x)`

=
`(24)/(3x)`

Further simplifying

=
`(8)/(x)` ANSWER