A sales representative must drive 60 miles to a sales conference. If it takes him 1 1/6 hours to drive to the sales conference, what is his average speed in miles per hour?

The average speed is 51.43 miles per hour

Step-by-step explanation:

The average speed is defined as the time rate of change of distance, that is average speed is the ratio of distance to time. The average speed is given by the equation:

Given that:

distance(d) = 60 miles and time (t) = hours = 1.167 hours

Substituting values:

The average speed is 51.43 miles per hour

The average speed of the sales representative must be 51.43 miles per hour.

Step-by-step explanation:

The average speed is computed by dividing the distance that was travelled by the time that it took to get there. In this case the to complete the route was 1 1/6 = 6/6 + 1/6 =  7/6 hours and the distance is 60 miles, so we have:

v = distance/time = 60/(7/6) = 60*(6/7) = 360/7 = 51.43 miles per hour

The average speed of the sales representative must be 51.43 miles per hour.

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .