A worker is paid from Noon to 3 PM. They get a 15-minute break during their paid time. Enter the percent of the number of minutes in their break as a part of their whole paid shift. Round your answer to the nearest tenth of a percent.
This is so confusing!

8.3%

Step-by-step explanation:

A worker is paid from noon to 3 pm. So the worker works for 3 hours.

To find the percentage, we need to have the same units.

To do this, convert 3 hours to minutes and get 180 minutes.

We can now write a fraction (break minutes/total work time) to find the percent of the number of minutes in their break as a part of their whole paid shift.

This fraction is 15/180.

We can now simplify this fraction to 1/12.

Then convert into decimal form and get 0.0833.

Finally convert this decimal into a percentage by multiplying by 100 and get 8.3%

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)