Answer:
By these examples you are able to see that the square of an odd number is always 1 more than a multiple of 4.
Step-by-step explanation:
For examples,
Let's consider squares of 3, 11, 25, 37 and 131.

8 is a multiple of 4, and 9 is more than 8.

120 is a multiple of 4 and 121 is one more than it.

624 is a multiple of 4 and 625 is one more than it.

1368 is a multiple of 4 and 1369 is one more than 1368.

17160 is a multiple of 4.
First,
, and if we multiply
by
we get

Subtracting this from the numerator gives a remainder of

Next,
, and if we multiply
by
we have

and subtracting this from the previous remainder, we end up with a new remainder of

Next,
, and if we multiply
by
we get

Subtracting from the previous remainder, we get a new remainder of

which contains no more factors of
, so we're done.
So,

You would do 64 divided by 6. You would divide it by 6 because it’s himself AND 5 friends. This would get you to 60. So now each friend has ten. Their would be four left over. So now Nick had 14 cards for himself.
9514 1404 393
Answer:
D) 45 and 1.2
Step-by-step explanation:
The "varies inversely" relationship is described by the equation ...
y = k/x . . . . . . y varies inversely with x (and vice versa)
The value of k can be found from known values of x and y:
xy = k . . . . . . multiply the above equation by x
(10)(6) = k = 60 . . . . using the given values
__
To check if a given pair of numbers satisfies ...
y = 60/x
you can multiply them together to see if the product is 60.
(A) 12×5 = 60
(B) 15×4 = 60
(C) 25×2.4 = 60
(D) 45×1.2 = 54 . . . . . not a possible pair of corresponding values.
45 and 1.2 are not a possible solution for x and y.