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LiRa [457]
2 years ago
14

When renting a limo for prom, the number of people varies inversely with the cost per person. Originally there were 4 people and

the cost per person was $57. If the number of people changed to 12, what would be the new cost per person?
Mathematics
1 answer:
ioda2 years ago
4 0

Answer:The new cost per person= $19 when there are 12 people

Step-by-step explanation:

Step 1

Let Number of people be rep as N

And Cost per person = C

such that the relationship of  number of people which varies inversely with the cost per person is given as

N∝ 1/C

Introducing constant of proportionality, k, we have that

N= K/C

such that when there were 4 people the cost per person was $57, K would be

N= K/C

4 = K /57

k= 57 X 4

k=228

Step 2

Therefore If the number of people changed to 12, cost per person would be

N= K/C

12= 228 / C

C= 228/12

C= 19

The new cost per person= $19 when there are 12 people

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In your own words, explain the steps you would need to take to find a slope from data in a table.
OverLord2011 [107]

Answer:

Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The volume of a cylinder is 4x3 cubic units and its height is x units.
Anastasy [175]

Answer:

The answer to your question is r = 2x

Step-by-step explanation:

Volume of a cylinder = V = π r² h

r = radius

h = height = x

Volume = 4x³

Then

                  r² = \frac{volume}{\pi h}

                  r² = \frac{4x^{3} }{\pi x}

                  r² = 4x²

                  r = 2x

7 0
2 years ago
A card is drawn from a​ well-shuffled deck of 52 cards. Find the probability of drawing a diamond or a spade.
AveGali [126]

Answer:

2/13

Step-by-step explanation:

For a deck of card

Total cards = 52

Total spade = 4

Total diamond = 4

pr(drawing a spade) = number of spade/total cards

pr(drawing a spade) = 4/52 = 1/13

pr(drawing a diamond)  = 4/52 = 1/13

Pr(diamond or a spade) = 1/13 + 1/13 = 2/13

8 0
3 years ago
Please help with this question, thank you
Semmy [17]
Remark
The key step is just to subtract 5 from both sides. The pointed of the inequality still points away from the variable and towards the number. As long as that remains true, the correct answer can be found.

Solution
2.7 ≤ b + 5  Subtract 5 from both sides.
2.7 - 5 ≤ b
- 2.3 ≤ b      Write with the variable on the left.
b ≥ - 2.3  <<<< answer  
6 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!! How many 4-digit numbers divisible by 5, all of the digits of which are even, are there?
saul85 [17]

Answer:

I assume you know Arithmetic Progression .

so, we have to find the first and last 4-digit number divisible by 5

first = 1000 ,  last =  9990

we have a formula,   a_{n} = a + (n-1)d

here, a_{n} is the last 4-digit number divisible by 5.

n is the number of 4-digit even numbers divisible by 5

d is the common difference between the numbers, which is 10 in this case

a is the first 4-digit number divisible by 5

9990 = 1000 + (n-1)*10

899 = n-1

n = 900

Hence, there are 900 4-digit even numbers divisible by 5

7 0
2 years ago
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