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Scilla [17]
2 years ago
9

Serenity has 83.2 ounces of candy left over from Halloween. She want to give each of her friends 1.28 ounces of candy. How many

friends can Serenity share the Halloween candy with?​
Mathematics
1 answer:
nlexa [21]2 years ago
4 0
83.2 divided by 1.28 equals the number of friends she can share with 65 people
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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.

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2 years ago
Eldar cooks lasagna and spaghetti using pesto sauce.
BaLLatris [955]
Mikasa kills eren and Levi gets his legs broken and a scar on his eye and Sasha dies to a kid
4 0
3 years ago
given the equation -4 square root of x-3=12, solve for x and identify if it is an extraneous solution
pogonyaev
I don't remember what is a extraneous solution, but i hope it helps

3 0
3 years ago
What four factors were used to create this product game board 9,15,18,21,30,35,36,42,49
IgorLugansk [536]
To see what are the factors use, we write each of the numbers, as product of prime factors:

9= 3 \cdot 3\\\\
15=3 \cdot 5\\\\
18= 2 \cdot 9 = 2 \cdot 3 \cdot3\\\\21= 3\cdot 7\\\\30=3 \cdot10=3 \cdot 2 \cdot 5\\\\35=5 \cdot7\\\\36=6\cdot6=2\cdot3\cdot2\cdot3\\\\42=6\cdot7=2\cdot3\cdot7\\\\49=7\cdot7


As we can see, the 4 factors used to produce the numbers in the list are {2, 3, 5, 7}


Answer:  {2, 3, 5, 7}
5 0
3 years ago
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Can you please help me with this
Y_Kistochka [10]

Answer:

1157 / 500

Step-by-step explanation:

8 0
3 years ago
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