Question

PLEASE HELP I WILL JIVE YOU 100 POINTS NEEDED ASAP

Answer 1

Answer:

3/3 bin = 3/10 gallon

Step-by-step explanation:

1/5=2/3

1/5+1/10=3/3

1/5=2/10

2/10+1/10=3/10

3/10=1 full bin

Answer 2

Answer:

0.3 galloons of water.

Step-by-step explanation:

We know that 1/5 galloons of water fills 2/3 of the bin.

So, we can write the following fraction:

$\frac{\frac{1}{5}\text{ galloons}}{\frac{2}{3}\text{ bin}}$

We want to find how many galloons will fill the entire bin or 1 whole bin. So, we can write the following proportion:

$\frac{\frac{1}{5}\text{ galloons}}{\frac{2}{3}\text{ bin}}=\frac{x\text{ galloons}}{1\text{ bin}}$

To find our answer, we need to solve for x.

So, let's cross-multiply. This yields:

$\frac{2}{3}x=\frac{1}{5}$

Multiply both sides by 3:

$3(\frac{2}{3}x)=3(\frac{1}{5})$

The left side simplifies. Multiply on the right:

$2x=\frac{3}{5}$

Now, multiply both sides by 1/2:

$\frac{1}{2}(2x)=\frac{1}{2}(\frac{3}{5})$

Simplify the left. Multiply on the right:

$x=\frac{3}{10}$

So, 3/10 of 0.3 of a gallon of water will fill the entire bin.

And we're done!