Tony thinks his pet goldfish , finn, might be lonely. so, tony buys another goldfish to keep finn company. he also buys a large 10-gallon tank so the fish can swim together. if finn currently lives in a 2-quart fish bowls, how many times bigger is his new tank than his old bowl?

20 times bigger.

Step-by-step explanation:

A quart is a liquid unit of measurement that is equal to a quarter of a gallon. Given that, 2-quarts is equal to half of a gallon (0.5-gallon). Now, you just need to divide the volume of the new tank by the volume of the old one.

10-gallons/0.5-gallons = 20

The new tank is 20 times bigger than the old bowl.

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)