The constant of proportionality k is 3.5
Step-by-step explanation:
Proportionality describes any relationship that is always in the same
ratio
If two quantities x and y are in proportionality, then
1. y ∝ x
2. y = k x , where k is the constant of proportionality
∵ x ⇒ 6 , 7 , 8 , 9
∵ y ⇒ 21 , 24.5 , 28 , 31.5
∵ y ∝ x
∴ y = k x
- Use x = 6 and y = 21 to find the value of k
∵ x = 6 and y = 21
∴ 21 = k (6)
- Divide both sides by 6
∴ k = 3.5
- Use x = 7 and y = 24.5 to find the value of k
∵ x = 7 and y = 24.5
∴ 24.5 = k (7)
- Divide both sides by 7
∴ k = 3.5
- Use x = 8 and y = 28 to find the value of k
∵ x = 8 and y = 28
∴ 28 = k (8)
- Divide both sides by 8
∴ k = 3.5
- Use x = 9 and y = 31.5 to find the value of k
∵ x = 9 and y = 31.5
∴ 31.5 = k (9)
- Divide both sides by 9
∴ k = 3.5
The constant of proportionality k is 3.5
Learn more:
You can learn more about proportionality in brainly.com/question/10708697
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The inverse of the statement is 'If it is Wednesday, then it is not sunny'
<h3>What is the inverse of a word?</h3>
The inverse of a word is simply the contrary nature or quality and could be termed opposite or reverse of a proposition or theorem that is formed by'
- contradicting both the subject and predicate
- Contradicting both the hypothesis and conclusion of a given proposition or theorem
For instance, the inverse of "if A then B" is "if not-A then not-B" and 'if not A, then B" is 'If A, not B ' is termed a compare contrapositive
From the information given, we have;
'If it is not Wednesday, then it is sunny'
We can see that the inverse of the proposition is;
'If it is Wednesday, then it is not sunny'
Thus, the inverse of the statement is 'If it is Wednesday, then it is not sunny'
Learn more about inverse here:
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The perimeter of the triangle is B) 27.4
Please let me know if you need an explanation.
Answer:
There will be 213 songs in each group.
Step-by-step explanation:
Suppose, the number of songs in each group is 
As he has 4 different groups of songs, so the t<u>otal number of songs in all 4 groups</u> will be: 
Given that, the mp3 player has a <u>total of 852 songs</u>. So, the equation will be........

So, there will be 213 songs in each group.
Answer:
5,750
Step-by-step explanation:
if he has 10 of each then you can multiply each bag by 10 and then multiply the amount of bags to the amount the coin is worth