Answer: 150 min
Step-by-step explanation:
2 hours = 120 min, 120 + 30 min = 150 min
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:
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ANSWER
EXPLANATION
The given binomial expansion is:
Compare this to
we have a=2x , b=-3y and n=10
We want to find the coefficient of the term
This implies that, r=5.
The terms in the expansion can be obtained using
We substitute the given values to obtain;
Hence the coefficient is;
Answer:
$3.88
Step-by-step explanation:
You want to leave a 18% tip on a meal that cost $21.58.
First, convert the 18% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 18%) by 100%.So, the conversational term "18%" becomes 18% / 100% = 0.18 in terms of a real mathematical number.
Second, you need to find out what 18% of your $21.58 meal cost is.This is always done by multiplying 0.18 by $21.58, or 0.18 x $21.58=$3.88.
So, the amount of tip you are going to leave is $3.88.
