hey guys my little friend needs help 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 UR ANSWER IN WORDS AND NO COPYING

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

Therefore, there is (3/16) gallon water per bin

Step-by-step explanation:

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

what level of math? also i don't need to be paid if i can you.