1 quarter = 25 cents.
1 dime = 10 cents.
3 quarters = 3*25 = 75 cents.
10 cents = 1 dime.
75 cents = 75 / 10 dimes
= 7.5 dimes.
Therefore 3 quarters equal 7.5 dimes.
Answer:
These correspond to two types of cost: fixed cost and variable cost. Fixed cost (FC): the cost of all fixed inputs in a production process. Another way of saying this: production costs that do not change with the quantity of output produced. Variable cost (VC): the cost of all variable inputs in a production process.
Answer:
the 2nd one (60m minutes)
Step-by-step explanation:
60 minutes in an hour, so if m is the number of hours you would times that by the number of minutes in an hour which is sixty. 60m is 60 times m
Proof by induction
Base case:
n=1: 1*2*3=6 is obviously divisible by six.
Assumption: For every n>1 n(n+1)(n+2) is divisible by 6.
For n+1:
(n+1)(n+2)(n+3)=
(n(n+1)(n+2)+3(n+1)(n+2))
We have assumed that n(n+1)(n+2) is divisble by 6.
We now only need to prove that 3(n+1)(n+2) is divisible by 6.
If 3(n+1)(n+2) is divisible by 6, then (n+1)(n+2) must be divisible by 2.
The "cool" part about this proof.
Since n is a natural number greater than 1 we can say the following:
If n is an odd number, then n+1 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
If n is an even number" then n+2 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
Therefore by using the method of mathematical induction we proved that for every natural number n, n(n+1)(n+2) is divisible by 6. QED.
