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OlgaM077 [116]
2 years ago
7

Prove the divisbility of the following numbers.

Mathematics
1 answer:
Anastaziya [24]2 years ago
7 0

Answer:

3^16

Step-by-step explanation:

12^8 * 9^12

Rewrite 12 as 3*4  and 9 as 3*3

(3*4)^8  * (3*3)^12

We know that (ab)^c = a^c * b^c

3^8  4^8  3^12  3^12

We can write 4 as 2^2

3^8  2^2^8  3^12  3^12

We know a^b^c = a^(b*c)

3^8  2^(2*8)  3^12  3^12

3^8  2^(16)  3^12  3^12

We also know that a^b *a^c *a^d = a^(b+c+d)

2^(16)   3^8   3^12  3^12

2^(16)  3^(8+12+12)

2^16  3^(32)

But we need 6 ^16 so we will need a 3^16  3^32 = 3^16 * ^16  (16+16=32)

2^16 *3^16 *3^16

Remember a^b*c^b = (ac)^b

(2*3)^16 3^16

6^16  3^16

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850-53x m= 720-39x m
insens350 [35]

Answer:

9.286

Step-by-step explanation:

I'm not guaranteeing this answer. If this is correctly written without any indication of how to deal with x, then here is as much as you can do.

850-53x m= 720-39x m                         Subtract 720 from both sides.

850 - 720 - 53x = 720 - 720 - 39xm      Combine

- 53xm + 130 = - 39xm                             Add 53x

-53x+53xm + 130 = -39x + 53xm            Combine

                      130 = 14xm                         Divide by 14

xm = 130/14

xm = 9.28

===============================

You can use the same steps above. I'm abbreviating the steps because they are the same.

I'm sure there is more to the problem, but I can't imagine what it is. If you have additional directions, put it under this answer. I will get it as a comment.

850-53m= 720-39m

850 - 720 - 53m = - 39m

130 - 53m = - 39m

130 = -39m + 53m

130 = 14m

130/14 = m

m =9.286

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2 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
Eight rolls of paper towels cost $4.80. At the same unit rate, how much will six rolls of paper towels cost?
julia-pushkina [17]

Answer:

$28.80

Step-by-step explanation:

4.80 x 6 = 28.8

Hope this helped!

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Find the measure of the exterior angles of the following regular polygons: a triangle, a quadrilateral, a pentagon, an octagon,
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Answer:

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Quadrilateral: 90

Pentagon: 72

Octagon: 45

Decagon: 36

30-gon: 10

50-gon: 7.2

100-gon: 3.6

Step-by-step explanation:

360/n = the measure on the exterior angle

n = the number of sides

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