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2 years ago

Please help.Merry christmas

Mathematics

1 answer:

mario62 [17]2 years ago

3 0

Answer: 3/10 bucket will fill the barrel completely

Step-by-step explanation: If 1/5 of the bucket is 2/3 then we want to find 1/3 of 1/5 and multiply it by 3 to find the whole of the barrell 3/3 so 1/5 divided by 2 is 1/10 and multiplied by 3 is 3/10. In math form its 1/5=.2 so .2 divided by 2 is .1 and multiplied by 3 is .3 which also equals 3/10

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Elementary Algebra Skill

mr_godi [17]

The answer is a = $\frac{4}{-3}$

Step-by-step explanation:

1. Convert the mixed fraction to an improper fraction

To find the numerator, multiply the denominator by the whole number and add the numerator to it.

The denominator remains the same.

So, 2 $\frac{2}{3}$ will be $\frac{8}{3}$

2. Now the equation is,

$\frac{3}{2}$ a - $\frac{4}{3}$ a = $\frac{10}{3}$ + $\frac{8}{3}$ a

3. Take LCM on both sides.

For the left side, multiply the first fraction by $\frac{3}{3}$ and multiply the second fraction by $\frac{2}{2}$

$\frac{3*3}{2*3}$ a - $\frac{4*3}{3*3}$ a = $\frac{10+8a}{3}$

4. Solve by making a the subject

$\frac{9a-8a}{6}$ = $\frac{10+8a}{3}$

$\frac{a}{6}$ = $\frac{10+8a}{3}$

$\frac{3a}{6}$ =10+8a

$\frac{a}{2}$ = 10 + 8a

a = 2(10 + 8a)

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Keyword: Equations

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