A turtle swims 1 7/8 miles in 1/6 hour. What is the unit rate of the swimming speed
of the turtle in miles per hour?

Speed of turtle = 11.25 miles/hour

Step-by-step explanation:

1 7/8 miles / 1/6 hour

= 15/8 / 1/6

= 15/8 * 6

= 11.25 miles/hour

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)