If

is odd, then

while if

is even, then the sum would be

The latter case is easier to solve:

which means

.
In the odd case, instead of considering the above equation we can consider the partial sums. If

is odd, then the sum of the even integers between 1 and

would be

Now consider the partial sum up to the second-to-last term,

Subtracting this from the previous partial sum, we have

We're given that the sums must add to

, which means


But taking the differences now yields

and there is only one

for which

; namely,

. However, the sum of the even integers between 1 and 5 is

, whereas

. So there are no solutions to this over the odd integers.
Answer:

Step-by-step explanation:
Given that,
The radius of the sphere, r = 8 mm
We need to find the volume of the sphere. The formula for the volume of a sphere is given by :

Put all the values,

So, the volume of the sphere is equal to
.
The total degrees of a triangle is 180.
So
37+63=100
And well
180-100=80
U=80
Answer:
40 gallons
Step-by-step explanation:
Let the number of gallons that would completely fill the bathtub be represented by N.
Since 12 gallons of water gives 30% of the number of gallons to fill the bathtub, then;
30% of N = 12
x N = 12
30N = 12 x 100
30N = 1200
divide both sides by 30,
N = 
= 40
The number of gallons that would completely fill the bathtub is 40 gallons.
Answer:
sure
Step-by-step explanation: