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boyakko [2]
2 years ago
6

A state park charges an entrance fee based on the number of people in a vehicle. A car containing 2 people is charged $14, a car

containing 4 people is charged $20, and a van containing 8 people is charged $32. 1. How much do you think a bus containing 30 people would be charged?
Mathematics
1 answer:
Hitman42 [59]2 years ago
6 0

The charges of entrance fee for a bus containing 30 people is $98

<h3>Equation</h3>

let

  • Fixed charge = x
  • Additional charge per person = y
  • Number of person = m

Charges For 2 people = mx + y

14 = 2x + y

Charges For 4 people = mx + y

20 = 4x + y

14 = 2x + y

20 = 4x + y

  • subtract both equation

20 - 14 = 4x - 2x

6 = 2x

x = 6/2

x = 3

Substitute x = 3 into

14 = 2x + y

14 = 2(3) + y

14 = 6 + y

14 - 6 = y

8 = y

Charges For 8 people = mx + y

= 8(3) + 8

= 24 + 8

= $32

Therefore,

Charges For 30 people = mx + y

= 30(3) + y

= 90 + 8

= $98

Learn more about equation:

brainly.com/question/14692256

#SPJ1

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Darina [25.2K]

Hey there! I'm happy to help!

Step 2 is incorrect. She added 4 and 2 first, but you are supposed to multiply and divide first. Then she multiplied 6 and 6, which is 36. Then she divided 36 and 2, which is 18, and then she subtracted 7, giving her 11. Step 2 is what threw the whole thing off.

Here is what Sandy should have done.

STEP 1: 6·4+2÷2-7

STEP 2: 24+1-7

STEP 3: 25-7

STEP 4: 18

I hope that this helps! Have a wonderful day! :D

3 0
3 years ago
Read 2 more answers
Euclid Park is shaped like a square, with side length s, and has an area of 121 square kilometers. This equation shows the area
SpyIntel [72]
The answer is 11 because 121/4 (4=sides) =11
6 0
3 years ago
Sheila has to type a 36 page report .When she took her coffee break , she had already typed 20 pages of the report. What fractio
blsea [12.9K]

Answer:

20/36 = 5/9

Step-by-step explanation:

The fraction could be represented by ( # of pages that typed / # of total pages that has to type).

So

20 is number of pages that typed

36 is the total number of pages that has to types

20/36

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3 years ago
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Nostrana [21]
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4 0
3 years ago
Mr. Sanchez’s class sold fruit pies for $1.55 each and Mr. Kelly’s class sold bottles of fruit juice for $1.40 each. Together, t
Blababa [14]

Answer:

x + y = 60 and 1.55x + 1.4y = 88.20 and the solution is x = 32 and y = 28.

Mr. Sanchez’s class earned more money by $10.4.

Step-by-step explanation:

Mr. Sanchez’s class sold fruit pies for $1.55 each and Mr. Kelly’s class sold bottles of fruit juice for $1.40 each.

Let the number of sold fruit pies is x and bottles of fruit juice is y.

So, from the given condition we can write

x + y = 60 ........ (1)

⇒ 1.4x + 1.4y = 84 ....... (2) and

1.55x + 1.4y = 88.20 ........ (3)

Now, solving equations (2) and (3) we get (1.55 - 1.4)y = (88.2 - 84)

⇒ y = 28

And from equation (1) we get x = 60 - 28 = 32.

Therefore, Mr. Sanchez’s class earned more money. (Answer)

Now, this class have earned $(32 × 1.55 - 28 × 1.4) = $10.4 more. (Answer)

5 0
3 years ago
Read 2 more answers
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