Answer:
D.
Step-by-step explanation:
the dot is right in between zero and one, which makes it 0.50
X + y = 24
x - y = 2
-------------add
2x = 26
x = 26/2
x = 13
x - y = 2
13 - y = 2
-y = 2 - 13
-y = - 11
y = 11
ur numbers are 11 and 13
Answer:
450
Step-by-step explanation:
We know that Cole did jump rope for 7 1/2 minutes.
In one minute there are 60 seconds. So we know that for each minute there is a 60 in it.
So, 7 x 60 = 420 then a half minute is thirty seconds (we know this because half of sixty is thirty.)
So we simply add 30 to 420 getting 450.
I would say the answer is 4 and 6, if you are allowed to choose more than one answer. If not, I would choose 4
Proving a relation for all natural numbers involves proving it for n = 1 and showing that it holds for n + 1 if it is assumed that it is true for any n.
The relation 2+4+6+...+2n = n^2+n has to be proved.
If n = 1, the right hand side is equal to 2*1 = 2 and the left hand side is equal to 1^1 + 1 = 1 + 1 = 2
Assume that the relation holds for any value of n.
2 + 4 + 6 + ... + 2n + 2(n+1) = n^2 + n + 2(n + 1)
= n^2 + n + 2n + 2
= n^2 + 2n + 1 + n + 1
= (n + 1)^2 + (n + 1)
This shows that the given relation is true for n = 1 and if it is assumed to be true for n it is also true for n + 1.
<span>By mathematical induction the relation is true for any value of n.</span>
