James left a bin outside in his garden to collect rainwater. he notices that 1/4 gallon of water fills 2/3 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.

1 bin holds 3/8 gallons of water.

Step-by-step explanation:

1/4 of a gallon=2/3 of a bin.

x gallon=1 bin

We want to find the value of "x" in this situation.

To make 2/3 equal 1, we have to multiply by 3/2, which uses the inverse property. Since we used the inverse property on the bin, we then have to multiply the gallon, 1/4, by 3/2 because we multiplied the bin by 3/2. 1/4 times 3/2 is 3/8 and 2/3 times 3/2 is 6/6 or 1. so now 3/8 gall=1 bin.  

Therefore, one bin holds 3/8 gallon water.

b

step-by-step explanation:

given

- 2 (3x + 12y - 5 - 17x - 16y + 4 )

simplify the parenthesis by collecting like terms

= - 2 (- 14x - 4y - 1) ← distribute the parenthesis by - 2

= 28x + 8y + 2 → b