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musickatia [10]
3 years ago
9

Use a ratio to compare the values. Simplify the ratio. 5 m to 100 cm

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
6 0
The answer is 
c - 5 : 1
5m = 500 cm
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N is a positive integer
Murrr4er [49]

Part (1)

n is some positive integer. Let's say for now that n is even. So n = 2k, for some integer k

This means n-1 = 2k-1 is odd since subtracting 1 from an even number leads to an odd number.

Now multiply n with n-1 to get

n(n-1) = 2k(2k-1) = 2m

where m = k(2k-1) is an integer

The result 2m is even showing that n(n-1) is even

------------

Let's say that n is odd this time. That means n = 2k+1 for some integer k

And also n-1 = 2k+1-1 = 2k showing n-1 is even

Now multiply n and n-1

n(n-1) = (2k+1)(2k) = 2k(2k+1) = 2m

where m = k(2k+1) is an integer

We've shown that n(n-1) is even here as well.

------------

So overall, n(n-1) is even regardless if n is even or if n is odd.

Either n or n-1 will be even. If you multiply an even number with any number, the result will be even.

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

Part (2)

n is some positive integer

2n is always even since 2 is a factor of 2n

2n+1 is always odd because we're adding 1 to an even number. The sequence of integers goes even,odd,even,odd, etc and it does this forever.

-----------

Another way to see how 2n+1 is odd is to divide 2n+1 over 2 and you'll find that we get (2n+1)/2 = 2n/2+1/2 = n+0.5

The 0.5 at the end is not an integer, so there's no way that (2n+1)/2 is an integer; therefore 2n+1 is odd.

6 0
2 years ago
Using diagonals from a common vertex, how many triangles could be formed from a hexagon?
Komok [63]
A regular hexagon can be dissected into six equilateral triangles by adding a center point
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2 years ago
A rectangle has vertices 2 (2, 2), M (25), N (6,5),
dangina [55]

Answer:

hsushsissnsuselsksbshaioanwjwowhahhshshhahha

8 0
3 years ago
Please answer this quickly
tester [92]

Answer:

C. 5x + 11 = 36

Step-by-step explanation:

You can see in the diagram that there are 5 x variables and eleven which make up the total diagram that says 36 so it would have to be 5x+11 = 36

4 0
3 years ago
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Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters. The radius of sphere A is multiplied by
Tamiku [17]

Answer:

7/8

Step-by-step explanation:

Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters.

WE need find which factor is multiplied with radius of sphere A to produce the radius of sphere B

Diameter of sphere B is 42

Radius = diameter /2

Radius = 42/2= 21

Radius of sphere B = 21

RAdius of sphere A times x= radius of sphere B

24 * x= 21

Divide by 24 on both sides

x= 21/ 24

divide top and bottom by 3

x= 7/ 8

5 0
3 years ago
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