Aboat travels 229.2 miles in 38.2 hours. how much time will it take traveling 405.8 miles

Write and solve an equation of ratios:

229.2 miles 38.2 hrs

=

405.8 miles x

Perform cross-multiplication: 229.2x = (38.2)(405.8)

x = 67.6 hours (answer)

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)