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vagabundo [1.1K]
3 years ago
6

Determine the GCF of 56f3g2 and 70fg3.

Mathematics
1 answer:
Natali5045456 [20]3 years ago
7 0

Answer:

Option C) \text{GCF} = 14fg^2

Step-by-step explanation:

We are given the following:

56f^3g^2 \text{ and }70fg^3

We have to find the greatest common factor of the two expressions.

We will use the technique of prime factorization to do so:

56f^3g^2\\\\=2\times 2\times 2\times 7\times f\times f\times f\times g\times g\\\\70fg^3\\\\=2\times 5\times 7\times f\times g\times g\times g

The common factors of both expressions are:

\text{Common factors} = 2\times 7\times f\times g\times g

Thus, the greatest common factor is:

\text{GCF} = 14fg^2

Option C) is the correct option.

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6 0
3 years ago
You collect 140 total pieces of candy trick or treating and 35 of them are m&m's. What fraction of the candy is not m&m'
tekilochka [14]

\frac{3}{4} of the candy is not m&m's.

Step-by-step explanation:

Given,

Total pieces of candy = 140

Number of m&m's = 35

Fraction = \frac{Number\ of\ m&m}{Total\ pieces\ of\ candy}

Fraction = \frac{35}{140}

Both 35 and 140 are multiples of 7, therefore,

Fraction of m&m's = \frac{5}{20} = \frac{1}{4}

As the number of m&m's fraction and not m&m's fraction will make a total of 1, therefore

fraction of m&m's + fraction of not m&m's = 1

fraction of not m&m's = 1 - fraction of m&m's

fraction of not m&m's = 1-\frac{1}{4}=\frac{4-1}{4}

fraction of not m&m's = \frac{3}{4}

\frac{3}{4} of the candy is not m&m's.

Keywords: fraction, subtraction

Learn more about fractions at:

  • brainly.com/question/8929610
  • brainly.com/question/8908016

#LearnwithBrainly

7 0
3 years ago
What is metamorphosis ​
Lena [83]

Answer:

The transformation of an organism throughout life :)

Step-by-step explanation:

This can be seen through the life of frogs, butterflies, moths, and more!

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3 0
2 years ago
What is the slope of a line parallel to line A
BigorU [14]
Find the slope of A. The slope of a line parallel to A would have the same slope of A. Remember, slope=rise over run. 
8 0
3 years ago
Find X in each figure. Picture of figures in comments.
Bad White [126]
A. 1/2(140-100) = 20
X = 20


B. 4^2 = 3 (x+3)
16 = 3x + 9
X = 7/3
4 0
3 years ago
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