Answer:
Step-by-step explanation:
93+(75)
= 168
Answer:
K = 2/1
Step-by-step explanation:
Constant of proportionality can be found using any two given pair of values.
Constant of proportionality = y/x
Therefore, using (1, 2) , we have
Constant of proportionality = y/x = 2/1 = 2
Or it can be written as: k = ²/1 = 2
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.
$48.75
Good this help. Ask if you want me to explain :)
It is asking to find the cost (c) for (p) number of pizzas at $8 each. So 1 pizza would be $8 and 2 would be 2 * 8 = 16 and 3 would be 3 * 8 = 24 and 4 would be 4 * 8 = 32 and p would be p * 8 = c. So the answer is:
c = 8p
15. a ratio is a fraction comparing numbers showing how they relate to each other.
if she mixed 3 ounces of blue and 2 of yellow, this would make 5 ounces of green paint. So the ratio is 3/2. to get 20 ounces of green paint she would have to do this mixture 4 times since she gets five each time. If she mixes 2 ounces of yellow paint four times, she would use 4 * 2 = 8 ounces of yellow painy
