Every minute, 2.2 gallons of water flows from a shower. a family of 5 people showers for an average of 9 minutes per person every morning.

99 gallons

Step-by-step explanation:

Let as assume we need to find how many gallons of water does the family use for showering every morning.

It is given that every minute 2.2 gallons of water flows from a shower.

Total number of family members = 5

Average time of shower = 9 minutes per person every morning.

Total time of shower = minutes

1 minute = 2.2 gallons

45 minute = 2.2 × 45  gallons

45 minute = 99 gallons

Therefore, in every morning 99 gallons of water was used by the family

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)