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timofeeve [1]
3 years ago
11

Mr and mrs Jones buy cinema tickets for themselves and their three children. the cost of an adult ticket is £6 more than a child

ticket. the cost of the five tickets is £45
work out the cost of an adult ticket
Mathematics
1 answer:
ElenaW [278]3 years ago
7 0

Answer:

£12.60

Step-by-step explanation:

let the cost of a child ticket be x then the cost of an adult ticket is x + 6

Sum the costs and equate to 45

x + 6 + x + 6 + 3x = 45 , that is

5x + 12 = 45 ( subtract 12 from both sides )

5x = 33 ( divide both sides by 5 )

x = 6.6

Cost of and adult ticket = x + 6 = 6.60 + 6 = £12.60

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Point M is the midpoint of AB. The coordinates of point A are (−7, 1) and the coordinates of M are (−2, 2). What are the coordin
notka56 [123]

Answer:

\huge{\boxed{\sf{ ( 3 , 3 ) }}}

Step-by-step explanation:

Co-ordinates of point A = ( -7 , 1 )

Co-ordinates of point M = ( -2 , 2 )

Let the co-ordinates of point B be ( x , y )

A ( -7 , 1 ) \longrightarrow ( x1 , y1 )

B ( x , y ) \longrightarrow ( x2 , y2 )

Now,

Midpoint = (\frac{x1 + x2}{2}  , \frac{y1 + y2}{2} )

⇒( -2 , 2 ) = ( \frac{-7 + x}{2}  , \frac{1 + y}{2} )

Finding the value of x :                    

⇒-2 = \frac{-7 + x}{2}

Do cross multiplication                

⇒-4 = -7 + x

⇒-7 + x = -4

⇒x = -4 + 7

⇒x = 3

Now, finding the value of y

⇒2 = \frac{1+y}{2}

Do cross multiplication

⇒4 = 1+y

⇒1+y = 4

⇒y = 4 - 1

⇒y = 3

Hence, The co-ordinates of point B = ( 3 , 3 )

Hope I helped!

Best regards!

~\text{ TheAnimeGirl}

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Step-by-step explanation:

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