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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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lana [24]

Answer:

y= -4x-9

Step-by-step explanation:

first you distribute the -4:    y+5= -4x-4

then you subtract 5 from both sides to isolate the variable but keep the equation balanced:     y= -4x-9

4 0
3 years ago
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What is the next number to follow 17, 18, 22, 31, 47, ?
Minchanka [31]

Answer:

  72

Step-by-step explanation:

First differences are ...

  18 -17 = 1

  22 -18 = 4

  31 -22 = 9

  47 -31 = 16

We observe that these are square numbers. The next square number is 25, so we expect the next number in sequence to be ...

  47 +25 = 72

3 0
2 years ago
Jerome has 1/4 of the group's video games at his house. Mario has 2/5 of the video games at his house. what fraction of the grou
serious [3.7K]

Answer: 13/20 of the video games at both of their houses.


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6 0
3 years ago
Mina drew 15hearts,6stars and 16 circles.What is the ratio of stars to hearts to circles?
GenaCL600 [577]

answer

6:15:16

step-by-step explanation

the ratio of stars to hearts to circles is stars:hearts:circles

plug in 6 for stars, 15 for hearts, and 16 for circles

6:15:16

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Given sets X, Y, Z, and U, find the set Xn(X - Y) using the listing method.
Aliun [14]

Answer:

{f, a}

Step-by-step explanation:

Given the sets:

X = {d, c, f, a}

Y = {d, e, c}

Z ={e, c, b, f, g}

U = {a, b, c, d, e, f, g}

To obtain the set X n (X - Y)

We first obtain :

(X - Y) :

The elements in X that are not in Y

(X - Y) = {f, a}

X n (X - Y) :

X = {d, c, f, a} intersection

(X - Y) = {f, a}

X n (X - Y) = elements in X and (X - Y)

X n (X - Y) = {f, a}

6 0
3 years ago
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