Answer: <em>Constant of proportionality is the constant value of the ratio between two proportional quantities. Two varying quantities are said to be in a relation of proportionality when, either their ratio or their product yields a constant.</em>
Step-by-step explanation:
To find the constant of proportionality, we use the formula k=y/x. So we have k=20/500 = 0.04.
The equation representing this situation will look like y=kx. Substituting in our value of k that we found, we have the equation y=0.04x.
We can use our equation to find the answer to this problem.
Answer:
a)
, b)
or
, c)
or 
Step-by-step explanation:
a) The function is solved by factorization:

b) The function has the following form:


The roots of the polynomial are found by factorization:

or 
c) The function has the following form:


The roots of the polynomial are determined by the General Formula for the Second-Order Polynomial:




The answer would be 3 because 15-4=11, each book is 3.5 pounds
3.5+3.5=7
7+3.5=10.5
Answer:
18
Step-by-step explanation:
6 2 1 How many ways does this produce and are they legitimate?
- 6 2 1
- 6 1 2
- 2 6 1
- 2 1 6
- 1 2 6
- 1 6 2
So any combination that you come up with, will produce 6 variations within those three choices. They are legitimate.
Lets see what you get with at most 5 estates to one person
5 3 1 Which will also give 6 variations. There are no other ways to make 5
4 3 2 Which will give 6 variations
I don't think there are any more possible choices.
Are the only 3 ways the estates can be split given the rules. Each choice leads to 6 other choices. The total is 18
32 divided by 8 = 4
4 x 5 = 20...
there are 20 pupils in 4 teams...
hope this helps!! :D