What is 6 plus 6 equals what ???
2 answers:
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The number of stamps and the cost are illustrations of unit rates
40 stamps would cost $22
The cost of 15 postage stamps is $8.25
Start by calculating the unit rate of the stamps.
So, the number of stamps for $22 is calculated by dividing $22 by the unit rate.
So, we have:
Hence, 40 stamps would cost $22
Read more about unit rates at:
Answer:
Step-by-step explanation:
We will prove by mathematical induction that, for every natural n,
We will prove our base case (when n=1) to be true:
Base case:
As stated in the qustion,
Inductive hypothesis:
Given a natural n,
Now, we will assume the inductive hypothesis and then use this assumption, involving n, to prove the statement for n + 1.
Inductive step:
Let´s analyze the problem with n+1 stones. In order to move the n+1 stones from A to C we have to:
- Move the first n stones from A to C (
moves).
- Move the biggest stone from A to B (1 move).
- Move the first n stones from C to A (
- Move the biggest stone from B to C (1 move).
- Move the first n stones from A to C (
Then,
.
Therefore, using the inductive hypothesis,
With this we have proved our statement to be true for n+1.
In conlusion, for every natural n,