Mathematics High School

28775 tickets are sold for a football match. Children’s tickets cost £15. The ratio of children to adults is 9:16.
If the total ticket sales makes £615785, what is the difference between the price of an adults ticket and a children’s ticket?

Answers

Answer 1

Answer:

Difference = £10

Step-by-step explanation:

Represent adult with A and children with C

[tex]A + C = 28775[/tex]

[tex]C : A = 9 : 16[/tex]

[tex]Sales = 615785[/tex]

Required

Determine the difference in price of both tickets

[tex]A + C = 28775[/tex]

Convert ratio to fraction

[tex]C : A = 9 : 16[/tex]

[tex]\frac{C}{A} = \frac{9}{16}[/tex]

Cross Multiply

[tex]16C = 9A[/tex]

Make C the subject

[tex]C = \frac{9}{16}A[/tex]

Substitute [tex]C = \frac{9}{16}A[/tex] in [tex]A + C = 28775[/tex]

[tex]A + \frac{9}{16}A = 28775[/tex]

Take LCM

[tex]\frac{16A + 9A}{16} = 28775[/tex]

[tex]\frac{25A}{16} = 28775[/tex]

Multiply both sides by 16

[tex]16 * \frac{25A}{16} = 28775*16[/tex]

[tex]25A= 28775*16[/tex]

[tex]25A= 460400[/tex]

Make A the subject

[tex]A = \frac{460400}{25}[/tex]

[tex]A = 18416[/tex]

Substitute 18416 for A in [tex]C = \frac{9}{16}A[/tex]

[tex]C = \frac{9}{16} * 18416[/tex]

[tex]C = \frac{9* 18416}{16}[/tex]

[tex]C = \frac{165744}{16}[/tex]

[tex]C = 10359[/tex]

If a children ticket costs £15, then total children tickets cost:

[tex]Children = 10359 * 15[/tex]

[tex]Children = 155385[/tex]

The total sales is given as:

[tex]Sales = 615785[/tex]

So, the total cost of adult ticket is:

[tex]Adults = 615785 - 155385[/tex]

[tex]Adults = 460400[/tex]

Recall that number of adults is: 18416

So, an adult ticket costs

[tex]An\ adult\ ticket = \frac{460400}{18416 }[/tex]

[tex]An\ adult\ ticket = 25[/tex]

So, we have that:

Children Ticket = £15

Adult Ticket = £25

The difference is:

Difference = £25 - £15

Difference = £10

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Answers

Answer:

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Step-by-step explanation:

2350/2650

hopefully, i'm right :)

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Mean ??
Mode ??
Median ??

Answers

Answer:

the mean is the sum of them all divided by the number of terms.

mean: 13

the mode is the element that occurs MOST in the data set.

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the median  is the middle value of all of the numbers.

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Answer:

Step-by-step explanation:

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Answers

Answer:

4

Step-by-step explanation:

WILL GIVE BRAINLIEST!!!!!!
Your grandfather would like you to invest in his company. He guarantees that if you invest in the stock of his company you will earn 15% on you r money every year. If you invest $100 and your grandfather is right, how much money will you have after 20 years? Round to the nearest cent.

Answers

Answer:

i=0.099

PMT (annual payment needed) $11,309

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=$114,232.32

hope that helps

pls mark brainliest <3

Answer:

ok so i think it is i=0.099

Step-by-step explanation:

i took the test. the test said it was that answer so yea

PLEASE HELP. WILL GIVE BRAINLIEST AND WORTH 60 POINTS.

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Answers

Answer:

Q1. No solutionQ2. (5, 6)Q3. Infinitely many solutionsQ4. No solutionQ5. (2, 3)

Step-by-step explanation:

Q1.

y = -1/3x - 1x + 3y = -12

Solution

x + 3(-1/3x - 1) = -12x - x - 3 = -12-3 = -12

No solution

Q2

y = 2x - 4y = x + 1

Solution

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Q3

y = -3x + 36x + 2y = 6

Solution

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Infinitely many solutions

Q4

- 5x + y = 1- 10x + 2y = -2 ⇒ -5x + y = -1

Solution

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No solution

Q5

y = 1/2x + 2y = x + 1

Solution

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What is the decimal form of 45/129

Answers

Answer:

0.348837

Step-by-step explanation:

What is...
1. 4x = -36
2. 5x - 15 = 50
3. 4(x + 2) - 17 = 35
4. 6x + 12 = 4x - 18
5. 1/2 (4x - 10) + 5 = x - 11

Answers

Step-by-step explanation:

1Ans: 4x = -36

× = -36/4

× = -9

2Ans: 5x -15 = 50

5x = 50 + 15

5x = 65

x = 65/5

x = 13

3Ans: 4(x + 2) -17 = 35

4x +8 -17 = 35

4x -9 = 35

4x = 35 +9

4x = 44

x = 44/4

x = 11

4Ans: 6x +12 = 4x -18

6x -4x = -18 -12

+2x = -30

x = -30/+2

x = -15

5Ans: 1/2 (4x -10) +5 = x -11

0.5 (4x -10) +5 = x -11

2x -5 +5 = x -11

2x = x -11

2x - x = -11

1x = -11

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x = -11

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Answers

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Answers

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Step-by-step explanation:

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Answers

Answer:

2i - (-3 + i)

Step-by-step explanation:

I think this is it. Sorry if it's wrong

Answer:

7 -3i

Step-by-step explanation:

Simplify by combining the real and imaginary parts of each expression

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Answers

I think that is correct !!

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Answers

Answer:

i think you want the total. it is $4.15

Step-by-step explanation:

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Answers

216 2/3 mi distance they travelled

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Answers

Answer:

D

Step-by-step explanation:

yo u dont even have to work just look that its obtuse and 126 is obtuse so there u go!

Answer:

A seems right to me

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

hope it helps ☺️

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

A fish is 12 Meters below the surface of the ocean. What is the elevation it is -12

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Answers

Answer:

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Step-by-step explanation:

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by substitution method

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8-y=3

-y=3-8

y=5

therefore the value of x=4 and that of y=5

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=-55

PLEASE HELP ME ASAP!!! (you will get 20 points!!!)

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

70+50=120

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Answers

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hope it helps u

3.
Susan has a balance of $110 in her school lunch account, and she spends $6 per day for
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Answers

Answer:

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Answers

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

If 1 cm on the map = 9 meters. 10cm would be 90 meters. Hope this helps!

Answer:

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Step-by-step explanation:

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10
x
B
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Answers

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12 homie

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Answers

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