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Genrish500 [490]
3 years ago
13

Tickets for a cinema cost £a for adults and £c for children. 2 adults and 3 children cost £42.70. 3 adults and 5 children cost £

67.30.
How much does it cost for 1 adult and 1 child?​
Mathematics
1 answer:
svetoff [14.1K]3 years ago
8 0

Answer:

c = 6.5, a = 11.6

Step-by-step explanation:

2a + 3c = 42.7

3a + 5c = 67.3

Elimination

(2a+3c = 42.7)*3

(3a+5c = 67.3)*2

(1) 6a+9c = 128.1

(2) 6a+10c = 134.6

(2) - (1)

c = 6.5

Substitue 'c' in any of the equation

2a + 3(6.5) = 42.7 or 3a + 5(6.5) = 67.3

2a + 19.5 = 42.7 3a + 32.5 = 67.3

2a = 42.7 - 19.5 3a = 67.3 - 32.5

2a = 23.2 3a = 34.8

a = 11.6 a = 11.6

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Answer:

put a dot at (0,2) which is just two up on the middle line. then from the dot count down 5 and to the right 3 and make another dot. then keep doing that until you run off the graph and draw a line connecting all the points.

Step-by-step explanation:

i think this is right, if not im sorry

3 0
3 years ago
A parallelogram has a height of x cm. The length of its base is 4 cm greater than its height. A triangle has the same height as
LuckyWell [14K]

The value of x when the triangle and the parallelogram have the same area is 6 units

<h3>The dimensions</h3>

The dimension of the parallelogram is given as:

  • Height = x
  • Base = 4 + x

The dimension of the triangle is given as:

  • Height = x
  • Base = 20

<h3>Areas</h3>

The area of a shape is the amount of space it occupies

The area of the parallelogram is calculated as:

Area = x (4 + x)

The area of the triangle is calculated as:

Area = 0.5 \times 20 \times x

Area = 10x

Both areas are equal.

So, we have:

x(4 + x) = 10x

Divide both sides by x

4 + x = 10

Subtract 4 from both sides

x =6

Hence, the value of x is 6 units

Read more about areas at:

brainly.com/question/2126265

4 0
2 years ago
What is 145% of 90 help me please<br>​
Pachacha [2.7K]

Answer:

130.5

Step-by-step explanation:

<em>145% of 90 = 145% * 90</em>

<em>145% = 1.45</em>

Substitute: 1.45 * 90

Multiply: 130.5

4 0
3 years ago
15 Points!
NNADVOKAT [17]
Using the Pythagorean Theorem we can solve this:

20^2 + 6^2 = X^2

400 + 36 = x^2

436 = x^2

x = SQRT(436)

x = 20.9 feet long
3 0
3 years ago
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fiasKO [112]

Answer:

4 + 3p ≥ 40

Step-by-step explanation:

4 points in the first round plus 3p (identical scores) has to be at least 40 points or higher to move on.

6 0
2 years ago
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