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sara left a bin outside in her garden to collect rainwater. she notices that 1 over 8 gallon of water fills 2 over 3 of the bin. write and solve an equation to find the amount of water that will fill the entire bin. show your work. explain your answer in words.

So,

One-eighth gallon of water will fill two-thirds of the bin.

We want the sentence: "x gallons of water will fill three-thirds of the bin."

What we do is multiply two-thirds by its reciprocal (three-halves) and make sure we do it on both sides.

\frac{1}{8} = \frac{2}{3} x

\frac{3}{2} * \frac{1}{8} = x

\frac{3}{16}\ gal. = x

So your equation would look like this:

\frac{1}{8} * \frac{3}{2}\ gal._{water} = x

Step-by-step explanation:

Credit to this answer goes to @SchwarzschildRadius

Hope this helps :))

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.