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motikmotik
2 years ago
6

What prime factor is common to 35, 84 and 21?​

Mathematics
2 answers:
Vika [28.1K]2 years ago
4 0

Answer:

7 is the prime factor that is common to all three numbers.

7x5 = 35

7x12 = 84

7x3 = 21

Let me know if this helps!

inn [45]2 years ago
4 0
Answer: 7

35/7=5
84/7=12
21/7=3

5, 12, and 3 don’t have any common factors so 7 is the prime factor.
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3 years ago
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madreJ [45]

Answer:

2. n = 11

4. g = -2

6. t = 21

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10. y = -1

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2. 63  = -3(1 - 2n)

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-21=1-2n\\2n=1+21\\2n=22\\n=\frac{22}{2} \\\therefore n=11

4. -g + 2(3 + g) = -4(g + 1)

First we will open the bracket by distributive property A( B +C) = AB + AC

-g+2\times 3 + 2\times g = -4\times g + -4\times 1\\-g+6+ 2g=-4g-4\\\textrm{we will take all the g term the left side and the constant to the right side}\\4g-g+2g=-6-4\\5g=-10\\g=\frac{-10}{5}\\\therefore g=-2

6.-3(t +5 ) + (4t + 2) = 8

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10. -4( 2 - y) + 3y = 3(y - 4)

Using distributive property A( B +C) = AB + AC we get

-4\times 2 --4\times y + 3y = 3\times y -3\times 4\\-8+4y+3y =3y-12\\\textrm{all the y terms to the left side and the constant to the right side}\\4y+3y-3y=-12+8\\4y=-4\\y=\frac{-4}{4}\\ \therefore y=-1

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Answer:

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