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2 years ago

1.09g/mL to lbs/gal Please show how to solve it too

Mathematics

2 answers:

kirill115 [55]2 years ago

6 0

Answer : 1.09 g/ml is equal to the 10.9 lbs/gal

Step-by-step explanation :

Conversion factors

1 gram = 0.0022 lbs

1 ml = 0.00022 gallon

First we have to convert 'gram' into'lbs'.

$\frac{1.09g}{1ml}=\frac{1.09g}{1ml}\times \frac{0.0022\text{ lbs}}{1g}=\frac{1.09\times 0.0022\text{ lbs}}{1ml}=\frac{0.002398\text{ lbs}}{1ml}$

Now we have to convert 'ml' into 'gallon'.

$\frac{0.002398\text{ lbs}}{1ml}=\frac{0.002398\text{ lbs}}{1ml}\times \frac{1ml}{0.00022\text{ gallon}}=\frac{10.9\text{ lbs}}{1\text{gallon}}=10.9\text{ lbs}/gallon$

Thus, 1.09 g/ml is equal to the 10.9 lbs/gal

GaryK [48]2 years ago

4 0

For this case we must take into account the following conversions:

1 pound = 450 grams

1 mL = 0.00026 gallons

We apply the transformation of units to the following expression:

$1.09\frac{g}{mL}$

We have then:

$(1.09\frac{g}{mL})(\frac{1}{450}\frac{lbs}{g}) = 0.0024\frac{lbs}{mL}$

$(0.0024\frac{lbs}{mL})(\frac{1}{0.00026}\frac{mL}{gal}) = 9.23\frac{lbs}{gal}$

Answer:

Applying both transformations to the given expression we have:

$9.23\frac{lbs}{gal}$

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