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. (any and all answers will get 5 stars, best answer gets brainliest!

  3/16 gallon

Step-by-step explanation:

You essentially want the unit rate, gallons per bin. To find that, divide the given number of gallons by the fraction of bin it fills:

  (1/8 gallon)/(2/3 bin) = (1/8·3/2) gallon/bin = 3/16 gallon/bin

That is, 3/16 gallon will fill the bin.

Comment on dividing fractions

Of course, dividing fractions is the same as multiplying by the inverse of the denominator.

  (a/b)/(c/d) = (a/b)·(d/c) = (ad)/(bc)

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.