Question

Tiffany is filling her daughter's pool with water for a hose.she can fill the pool at a rate of 1/10 gallons/second.create at least three equivalent ratios that are associated with the rate.

Answer 1

At first I assumed you were asking for 3 different ratios equivalent to 1/10, which could be 2/20, 10/100, or 5/50. But it seems you are asking for ratios equivalent to 1/10 gallons to second.
For this, you could change both the 'gallons' and the 'seconds' to get different unit with the same ratio.
1/10 gallon/second * 60 seconds / 1 minute = 6 gallons/minute
1/10 gallon/second * 1 gallon / 4 quarts = 1/40 quarts/second
combining these two conversions we can do
1/10 gallon/second * 60 second / 1 minute * 1 gallon / 4 quarts = 3/2

Final answer:
1/10 gallons/second = 6 gallons/minute = 1/40 quarts/second = 3/2 quarts/minute
Hope I helped :)

Answer 2

Two possible answers are:

2/20 gallons per minute and 3/30 gallons per minute.

Explanation:

To find equivalent ratios, we are finding equivalent fractions.  To do this, we would multiply the numerator and denominator of the original fraction, 1/10, by the same constant.

(1*2)/(10*2) = 2/20 and (1*3)/(10*3) = 3/30.