Two cyclists leave town at the same time on the same road going on the same direction. cyclists a is going 6 miles per hour faster than cyclist b. after 8 hours, cyclist a has traveled three times the distance as cyclist b. use the equation 24x=8[x+6] to find how fast cyclist b is traveling.

x=3

Step-by-step explanation:

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

Add '-8x' to each side of the equation.

24x + -8x = 48 + 8x + -8x

Combine like terms: 24x + -8x = 16x

16x = 48 + 8x + -8x

Combine like terms: 8x + -8x = 0

16x = 48 + 0

16x = 48

Divide each side by '16'.

x = 3

Simplifying

x = 3

none of the option is correct.

step-by-step explanation:

it says to find which expression equals 9^3 sqrt 10 = ?

9^3 sqrt 10 = 729 sqrt 10.

checking option a. 5 sqrt 10 + 4 sqrt 10

5 sqrt 10 + 4 sqrt 10

= 9 sqrt 10.

checking option b. 5^3 sqrt 10 + 4^3 sqrt 10

5^3 sqrt 10 + 4^3 sqrt 10

= 125 sqrt 10 + 64 sqrt 10

= 189 sqrt 10.

checking option c. 5 sqrt 10 + 4^3 sqrt 10

5 sqrt 10 + 4^3 sqrt 10

= 5 sqrt 10 + 64 sqrt 10

= 69 sqrt 10.

checking option d. 5^3 sqrt 10 + 4 sqrt 10

5^3 sqrt 10 + 4 sqrt 10

= 125 sqrt 10 + 4 sqrt 10

= 129 sqrt 10.

hence, none of the option is correct.

step-by-step explanation: