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Elina [12.6K]
2 years ago
10

PLEASE HELP I WILL JIVE YOU 100 POINTS NEEDED ASAP

Mathematics
2 answers:
Kaylis [27]2 years ago
6 0

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

Anastaziya [24]2 years ago
3 0

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!

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