1) Mary is packing boxe at the packing factory. Mary packs boxes at a rate of 10 boxes every 6 minutes
Roger packs boxes at a rate of 15 boxes every 8
minutes
Who has that fastest rate per minute?

Roger

Step-by-step explanation:

Find the rate they pack each box.

10/6 = 1.7 (Rounded)

Mary packs 1.7 boxes each minute.

15/8 = 1.9 (Rounded)

Roger packs 1.9 boxes each minute.

Roger packs faster.

Roger

Step-by-step explanation:

Mary packs at 1.66

Roger packs at 1.87

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)

good luck on your studies! : )

david edward.