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ycow [4]
2 years ago
15

At a concert

Mathematics
1 answer:
Paladinen [302]2 years ago
7 0

Answer:

Each child ticket costs £2

Each adult ticket costs £5

Step-by-step explanation:

Let's define:

C = cost of a child ticket

A = cost of an adult ticket.

We know that:

"3 adult and 4 child tickets cost £23"

This can be written as:

3*A + 4*C = £23

"1 adult and 5 child tickets cost £15"

This can be written as:

1*A + 5*C = £15

Then we have the system of equations:

3*A + 4*C = £23

1*A + 5*C =  £15

To solve it, we start by isolating one of the variables in one of the equations:

Let's isolate A in the second equation:

A = £15 - 5*C

Now let's replace this in the first equation:

3*( £15 - 5*C) + 4*C = £23

Let's solve this for C

£45 - 15*C + 4*C = £23

£45 - 11*C =  £23

£45 - £23 = 11*C

£22 = 11*C

£22/11 = £2 = C

Each child ticket costs £2

And with the equation:

A = £15 - 5*C we can find the price of an adult ticket if we replace the value of C by £2

A = £15 - 5*£2 = £5

Each adult ticket costs £5

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What is 1/2(7x-6)=6x-10
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Step-by-step explanation:

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The area of a rectangular pool is 6992 m².
Nina [5.8K]

Step-by-step explanation:

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2 years ago
Asdfghjkllkjhgfdsaas
natali 33 [55]

Answer:

13

Step-by-step explanation:

(x + 3)^3/2 = 64

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6 0
3 years ago
Read 2 more answers
Graph the line with slope <br> −3/4<br><br> passing through the point <br> , (3,3)
Nookie1986 [14]
Y = mx + b
slope(m) = -3/4
(3,3)....x = 3 and y = 3
now we sub and find b, the y int
3 = -3/4(3) + b
3 = -9/4 + b
3 + 9/4 = b
12/4 + 9/4 = b
21/4 = b.....or 5.25 for graphing purposes

so ur equation is : y = -3/4x + 21/4

ur y int = (0,21/4) or (0,5.25)

ur x int can be found by subbing in 0 for y and solving for x
y = -3/4x + 21/4
0 = -3/4x + 21/4
3/4x = 21/4
x = 21/4 * 4/3
x = 84/12 = 7.....so ur x int is (7,0)

so plot ur points (7,0) and (0,5.25)....now start at (0,5.25) and since the slope is -3/4, come down 3 spaces and go to the right 4 spaces, then down 3, and to the right 4 and u will eventually cross the x axis at (7,0)




8 0
3 years ago
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