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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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chubhunter [2.5K]

Answer:

m∠N = 51°

m∠M = 31°

m∠O = 98°

Step-by-step explanation:

It is given that ΔMNO is an isosceles triangle with base NM.

m∠N = (4x + 7)° and m∠M = (2x + 29)°

By the property of an isosceles triangle,

Two legs of an isosceles triangle are equal in measure.

ON ≅ OM

And angles opposite to these equal sides measure the same.

m∠N = m∠M

(4x + 7) = (2x + 29)

4x - 2x = 29 - 7

2x = 22

x = 11

m∠N = (4x + 7)° = 51°

m∠M = (2x + 9)° = 31°

m∠O = 180° - (m∠N + m∠M)

         = 180° - (51° + 31°)

         = 180° - 82°

         = 98°

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3 years ago
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Neko [114]

Answer:

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Step-by-step explanation:

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The sale price for a jacket that regularly costs $85.00 is now $68.00. With sales tax, a customer pays $73.44. Which THREE state
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Answer:

The sales tax rate is 8%.

C. The sale price is 20% less than the regular price

Step-by-step explanation:

Here are the options to this question :

A) The sales tax rate is 6%

B) The sales tax rate is 8%.

C. The sale price is 20% less than the regular price

Sales tax rate = (tax paid / discounted selling price) x 100

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babymother [125]

Solution:

Number of students in Mr.Skinner's class who brought lunch from home if there are 20 students in the class=12

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Answer: What is the question?

Step-by-step explanation:

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