Raj is a champion marathon runner. He has measured the length of his practice route around his neighborhood and found that it is 6 3/5of a mile long. This afternoon he ran this route 3 2/3times before stopping. How many miles did he run? Write your answer as a mixed number!

Step-by-step explanation:

The distance is:

24 1/5

Step-by-step explanation:

Length of the route = 6 3/5 miles

Number of rounds = 3 2/3

Distance?

The distance is:

6 3/5 * 3 2/3 =

33/5 * 11/3 =

11*11/5 =

121/5 =

24 1/5 miles

the reporter's right

step-by-step explanation:

1/4 = .25 / 25%

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 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.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

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

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.