Answer: just turn them into decimals and use a calculator then turn them back into fractions in simplified form
Step-by-step explanation:
Answer:
45
Step-by step
What do we already know about the equation?
We know that they EACH bought a hockey puck($17) and 2 shirts
Half of 214 is 107. So they had to have spent 107 separately
So we make the equation and let s represent shirts
2s + 17 = 107
- 17 -17
2s= 90. DIVIDE by 2
s = 45
Answer:
the third one
Step-by-step explanation:
the absolute value of -6 is 6
When dividing same numbers with different exponents (they’re both 10 so this works different than if they were different numbers) you subtract the top exponent by the bottom exponent. So 15-4=11 ultimately making the solution 10^11. Hope this helps :)
Let's start from what we know.

Note that:

(sign of last term will be + when n is even and - when n is odd).
Sum is finite so we can split it into two sums, first

with only positive trems (squares of even numbers) and second

with negative (squares of odd numbers). So:

And now the proof.
1) n is even.
In this case, both

and

have

terms. For example if n=8 then:

Generally, there will be:

Now, calculate our sum:



So in this case we prove, that:

2) n is odd.
Here,

has more terms than

. For example if n=7 then:

So there is

terms in

,

terms in

and:

Now, we can calculate our sum:




We consider all possible n so we prove that: