Nancy left a bin outside in her garden to collect rainwater. She notices that 1 over 2 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.

2/3 gallon

Step-by-step explanation:

you take 1/3, which is the amount you are looking for to fill the rest of the container, then you multiply that times 1/2.  this equals 1/6 of a gallon. then you add that to 1/2 a gallon to find out the total of all the water it takes to fill the bin.  1/2+1/6=3/6+1/6=4/6 or 2/3 gallon simplified. 

HOPE THIS IS CORRECT :)

2/3 gallon

Step-by-step explanation:

You take 1/3, which is the amount you are looking for to fill the rest of the container, then you multiply that times 1/2.  this equals 1/6 of a gallon. then you add that to 1/2 a gallon to find out the total of all the water it takes to fill the bin.  1/2+1/6=3/6+1/6=4/6 or 2/3 gallon simplified.

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.