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Yanka [14]
3 years ago
10

quinn has a bucket of nails that he separates into groups.He finds that 2/5 of his nails are 2 inches long, and 1/3 of his nails

are 3 inches long. The rest of the nails are different sizes. How many nails are either 2 or 3 inches long?
Mathematics
1 answer:
Leokris [45]3 years ago
8 0
11/15 of nails are 2 or 3 inches long
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Elementary Algebra Skill
mr_godi [17]

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

Step-by-step explanation:

<em>1. Convert the mixed fraction to an improper fraction</em>

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}

<em>2. Now the equation is,</em>

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

<em>3. Take LCM on both sides. </em>

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}

<em>4. Solve by making a the subject</em>

\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)

a = 20 + 16a

a-16a = 20

-15a = 20

a = \frac{20}{-15}

a = \frac{4}{-3}

Therefore, the answer is a = \frac{4}{-3}

Keyword: Equations

Learn more about equations at

  • brainly.com/question/10666510
  • brainly.com/question/4460262
  • brainly.com/question/8955867

#LearnwithBrainly

4 0
3 years ago
True or false by definition a simple random sample of size n
Sophie [7]
True

I hope I helped you out
7 0
3 years ago
Let x stand for the number of bananas in one bag. write an equation to find x.
xz_007 [3.2K]
(7-1)/3=x
(14-2)/4=x
1. x=2
2. x=3

If you are looking for the number of bananas per bag you must first subtract your remainders from the total number of bananas, then divide those bananas by the number of bags and you have your answer.
8 0
3 years ago
Read 2 more answers
Rentite in simplest terms: - 10(9c – 7c+8) - 80​
zhannawk [14.2K]

Answer:

-20c-160

Step-by-step explanation:

-10(9c-7c+8)-80

-10(2c+8)-80

-20c-80-80

-20c-160

8 0
3 years ago
Read 2 more answers
An equation is shown.
Anit [1.1K]
We take the equation 4x+y=5 and subtract 4x from both sides to get
                                              y = 5 - 4x
The answer to this question is <span>y=5−4x.</span>
4 0
3 years ago
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