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3 years ago

Two families go to the cinema.

Mathematics

1 answer:

brilliants [131]3 years ago

8 0

Answer:

Step-by-step explanation:

x= cost of 1 adult ticket

y=cost of 1 kid ticket

so 1 adult+4 childeren=x+4y=19

2 adults and 2 childern=2x+2y=17

elimination

x+4y=19

2x+2y=17

multiply firest equation by -2

-2x-8y=-38

add to first equatuion

-2x-8y=-38

2x+2y=17 +

0x-6y=21

-6y=-21

multiply -2

6y=21

divide by 6

y=21/6=7/2

subsitute

2x+2y=17

2x+2(7/2)=17

2x+14/2=17

2x+7=17

subtract 7 from both sides

2x=10

divide by 2

x=5

1 adult ticket costs £5

1 kid ticket costs £7/2 or £3 and 1/2 or £3.5

hope this helps and give me brainliest pls

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X-intercept (__,__) <br> Y-intercept (__,__)

Irina-Kira [14]

Answer:

X intercept is (0,-250) and Y intercept is (0,100)

Step-by-step explanation:

You just look at where the line intercepts the x and y intercepts

7 0

3 years ago

The two shortest sides of a right triangle are 10 in. And 24 in. long. What is the length of the shortest side of a similar righ

ivanzaharov [21]

If the two shortest sides of the triangle are 10in and 24in, then using Pythagoras' theorem, the longest side =
$\sqrt{10^2 + 24^2}$
= $\sqrt{676}$
= $26$

Now we know the two longest sides of the first triangle (24in and 26in) we can compare them with the two longest sides of the second triangle.
If $x$ = the scale factor the first triangle is enlarged by then
$26x = 39$ and $24x = 36$
⇒ $x = 1.5$

Finally, we need to multiply the smallest side of the first triangle by the scale factor to find the shortest side of the second triangle.
$10(1.5) = 15$
So the length of the shortest side of the other triangle is 15in.

You could, instead, calculate the length of the shortest side of the second triangle by using Pythagoras' theorem and ignoring the first triangle completely.

5 0

3 years ago

Read 2 more answers

oscar bought some markers notebooks and packs of sticky notes for his office he bought the same number of markers as notebooks h

s2008m [1.1K]

The number of each kind of office supply oscar bought is = markers= (43.2 - 4.2y)/3 notebooks = (43.2-3x)/4.2, sticky notes = [43.2 - 4.2y)/3 + (43.2-3x)/4.2] + 3.

<h3>Calculation of total office supply</h3>

The number of markers he bought = X

The number of notebooks he bought= y

The number of sticky notes he bought= z= 3 + X+y

The amount he paid for markers = $1.05*X

The amount he paid for notebooks = $2.25*y

The amount he paid for sticky notes= $1.95 (3 + X+y)

The total amount he paid is = $49.05

That is;

$49.05 = $1.05x + $2.25y + $1.95 (3 + X+y)

$49.05 = $1.05x + $2.25y + $5.85 + $1.95x + $1.95y

$49.05 - $5.85 = 3x + 4.2y

$43.2 = 3x + 4.2y

Make X the subject of formula,

3x = 43.2 - 4.2y

X = (43.2 - 4.2y)/3

y= (43.2-3x)/4.2

z = [43.2 - 4.2y)/3 + (43.2-3x)/4.2] + 3

Learn more about addition here:

brainly.com/question/4721701

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4 0

2 years ago

5 + n2 > 8<br> A. n > 6<br> B. n>3<br> C. n>1.5<br> D. n < 26

san4es73 [151]

N•2>8
then dive both sides 2n>8
and get n>4

4 0

3 years ago

Read 2 more answers

Can you please help me

Mandarinka [93]

Answer: Attached.

Step-by-step explanation:

Either solve the equations directly, or graph them and look for the point of intersection.

8 0

2 years ago