Respuesta :
Answer:
[tex]\frac{8}{x}[/tex] is answer.
Step-by-step explanation:
Correct Question Statement
Randy drives his car to work each day. Suppose the expression [tex]\frac{6}{x} +\frac{6}{3x}[/tex] 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 [tex]\frac{6}{x} +\frac{6}{3x}[/tex] . Show all the steps necessary to write the expression with a common denominator and to simplify the expression.
ANSWER
[tex]\frac{6}{x}[/tex]
by simplifying denominator of above expression, we multiply it with [tex]\frac{3}{3}[/tex]
Thus, it becomes:
= [tex]\frac{6}{x}[/tex] * [tex]\frac{3}{3}[/tex]
= [tex]\frac{6*3}{3*x}[/tex]
= [tex]\frac{18}{3x}[/tex]
Now we can add both expressions:
[tex]\frac{18}{3x} + \frac{6}{3x}[/tex]
= [tex]\frac{24}{3x}[/tex]
Further simplifying
= [tex]\frac{8}{x}[/tex] ANSWER
