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rusak2 [61]
3 years ago
7

What is the prime factorization of 102

Mathematics
1 answer:
morpeh [17]3 years ago
5 0
<span>102 is a composite number. 102 = 1 x 102, 2 x 51, 3 x 34, or 6 x 17. Factors of 102: 1, 2, 3, 6, 17, 34, 51, 102. Prime factorization: 102 = 2 x 3 x 17.</span>Apr 28, 2014prime factors of 102 | Find the Factors<span>https://findthefactors.com/tag/prime-factors-of-102/</span>
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Solve by the linear combination method (with or without multiplication) <br> 2x+3y= -17, 5x+2y = -4
Amiraneli [1.4K]
2x+3y= -17 
5x+2y= -4
You must cancel either the x or y out to solve so i'm going to cancel the x. 
-5(2x+3y= -17)
2(5x+2y= -4)
This simplifies to: 
-15x -15y=85
15x+4y= -8
The -15x and 15x cancel out leaving you: 
-15y=85 
4y= -8
You add them top numbers by the bottom and get: 
-11y=77
Then divide by -11 to get y by its self.
y= -7
Now that you know what y is just plug it in to either original problem. I will use the second one. 
5x + 2(-7) = -4
5x -14 = -4
5x = 10 
x = 2
So the answer is (2,-7) or x=2 and y=-7
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How many seconds equals 54 minutes
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If a cylinder with height 9 inches and radius rr is filled with water, it can fill a certain pitcher. How many of these pitchers
katrin2010 [14]

Answer:

9 pitchers

Step-by-step explanation:

Given

Cylinder 1:

Radius = r

Height = 9

Cylinder 2:

Radius = 3r

Height = 9

Required

How many pitchers' cylinder 2 can fill

First, we calculate the volume of both cylinders

Volume is calculated as:

Volume = \pi r^2h

For A:

V_A = \pi r^2*9

V_A = 9\pi r^2

For B:

V_B = \pi (3r)^2 * 9

V_B = \pi *9r^2 * 9

V_B = 9* 9\pi r^2

In (a): V_A = 9\pi r^2

So, we have ve:

V_B = 9*V_A

V_B = 9V_A

<em>If the first cylinder can fill 1, then the second can fill 9 pitchers</em>

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I really do not know the answer to this question
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