8. A car travels 85 km in 51 minutes. (a) How far does it travel in 1 hour at the same speed? (b) How many seconds does it take to travel 510 m? step by step answer plz​

Part A

(85 km)/(51 min) = (x km)/(60 min)

85/51 = x/60

85*60 = 51x

5100 = 51x

51x = 5100

x = 5100/51

x = 100

Part B

510 m = 0.510 km

(85 km)/(51 min) = (0.510 km)/(x min)

85/51 = 0.510/x

85x = 51*0.510

85x = 26.01

x = 26.01/85

x = 0.306

This represents the number of minutes. Multiply by 60 to get the number of seconds

0.306 min = 0.306*60 = 18.36

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)