Answer:
19
Step-by-step explanation:
Since it is a 90° angle we can say that 3x-15+2x+10 = 90.
3x-15+2x+10 = 90
5x-5=90
5x=95
x=19
By solving this we find that x is equal to 19.
Answer:
x= 5
Step-by-step explanation:
John’s father will pay $300.
If you divide $500 into 5 equal parts, each part will be comprised of $100. In other words, 1/5 of $500 is $100. This is proven because $100 • 5 = $500.
But since you are trying to find 3/5 of $500, (not 1/5, which is what we just found). This means we must find the total value of 3 of the five equal parts. To do this, multiply
$100 • 3, since $100 is 1/5 of $500.
$100 • 3=$300, so the answer is B. Johns father will pay $300.
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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Answer:
About 17 weeks
Step-by-step explanation:
Given
Ryan:
<em />
<em> (weekly)</em>
Sarah:
(weekly)
Required
Determine the number of weeks they have the same cards
Represent the number of weeks with w:
For Both individuals, number of card at any given week is:
So,
For Ryan, the expression is:
For Sarah, the expression is:
To determine the number of weeks, we have to equate both equations:
Collect Like Terms
Solve for w
16.6 implies about 17 weeks, because 16.6 approximates to 17
<em>Conclusively, Ryan and Sarah will have the same number of balls in about 17 weeks</em>
