Tiffany is filling her daughter's pool with water from a house. she can fill the pool at a rate of 1/10 gallons/second. create at least 3 equivalent ratios that are associated with the rate. use a double number line to show your work

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

1/10 gallons/second = 6 gallons/minute = 1/40 quarts/second = 3/2 quarts/minute

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

step-by-step explanation:

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