Fill in the blanks there are 6 2/3 pounds of walnuts in a container, which will be divided equally into containers that hold 1 1/2 pounds. this would fill and 4/9 containers.

This would fill 4 and 4/9 containers.

Explanation:

Since we have given that

Quantity of walnuts in a container is given by

Quantity of walnuts which divided equally into containers is given by

Now, number of containers they would fill is given by

When we change it into mixed fractions we get,

So, blank will be filled with '4'.

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)