A carpenter had a board that was 2 yard long. He used 18 inches on a project. How many feet long was the board when he was done? 2 1/2 feet

4 1/2 feet

3 3/4 feet

1 1/4 feet

4 1/2 ft

Step-by-step explanation:

1 yard = 36 inches

2 yards = 2 × 1 yard = 2 × 36 inches = 72 inches

The board started with a length of 72 inches.

He used 18 inches.

72 in. - 18 in. = 54 in.

He has 54 in. left.

Now we convert 54 in. to ft.

1 ft = 12 in.

54 in. × (1 ft)/(12 in.) = 4.5 ft = 4 1/2 ft

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)