All categories

4 years ago

Two families go to the cinema.

Mathematics

1 answer:

brilliants [131]4 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

You might be interested in

The quadratic function h(t) = -16.1? + 150 models a ball's height, in feet, over time, in seconds,

Sliva [168]

<h2>Hello!</h2>

The answer is: The first graphic representation.

We are given a quadratic equation, meaning that it could be two possible solutions for the exercise, however, we are talking about time, so we have to consider only the obtained positive values.

Let's make the equation equal to 0 in order to find the values of "t"

$h(t) = -16.1t^2 + 150$

$0=-16.1t^2+150$

$16.1t^2=150$

$t^2=\frac{150}{16.1} =9.32$

$t=+-\sqrt{9.32} =+-3.05$

$t1=3.05$

$t2=-305$

So, discarding the negative value, we can use the possitive value to find the correct graphic representation.

To find the correct graphic representation we must take into consideration the following:

- We must remember that the sign of the coefficient of the quadratic term (t^2) will define if the parabola opens downward or upward.

From the given quadratic (or parabola) equation we have:

$a=-1$

$b=0$

$c=150$

So, since the coefficient of the quadratic term is negative, the parabola opens downward.

- Since we are looking for a graphic that represents the change in height over time, we need to look for a graphic that shows only positive values for the x-axis (time)

- We are looking for a parabola which y-axis intercept is equal to 150.

Therefore, the graphic representation of the quadratic function that models a ball's height over time is the first graphic representation.

Have a nice day!

5 0

2 years ago

Jake is using a horse trailer to take his horses to his new ranch. 1 Horse= 1,200 lb Trailer= 2,700 lb Jake's truck can tow a ma

Kitty [74]

Answer:

Jack can take only 1 horse on his trailer to be towed by the truck without going over the maximum weight the truck.

Step-by-step explanation:

Given:

Weight of 1 horse = 1,200 lb

Weight of trailer = 2,700 lb

Jacks'truck can tow a maximum of 5000 pounds.

To find the maximum number of horses Jack can take in his trailer without going over the maximum weight his truck can tow.

Solution:

Let the maximum number of horses that Jack can take be = $x$

Using unitary method to find weight of $x$ horses.

If 1 horse weights = 1,200 lb

Then $x$ horses will weight in lbs = $1,200\times x = 1,200x$

Total weight of horses and trailer in lbs = $1200x+2700$

Since the maximum weight the truck can tow = 5,000 lb, so the inequality can be given as:

$1200x+2700\leq5000$

Subtracting both sides by 2700.

$1200x+2700-2700\leq5000-2700$

$1200x\leq2300$

Dividing both sides by 1200.

$\frac{1200x}{1200}\leq\frac{2300}{1200}$

$x\leq1.91$

From the inequality solution for $x$ , we can conclude that Jack can take only 1 horse on his trailer to be towed by the truck without going over the maximum weight the truck.

3 0

3 years ago

WILL GIVE BRAINLIEST What is the perimeter of the track, in meters? Use π = 3.14 and round to the nearest hundredth of a meter.

Ivenika [448]

Answer:

Perimeter = 317 m

Step-by-step explanation:

Given track is a composite figure having two semicircles and one rectangle.

Perimeter of the given track = Circumference of two semicircles + 2(length of the rectangle)

Circumference of one semicircle = πr [where 'r' = radius of the semicircle]

= 25π

= 25 × 3.14

= 78.5 m

Length of the rectangle = 80 m

Perimeter of the track = 2(78.5) + 2(80)

= 157 + 160

= 317 m

Therefore, perimeter of the track = 317 m

7 0

3 years ago

There are 10 large fish and 5 small fish. Half of the large fish are red. One fish is selected at random. Find the probability t

Softa [21]

The probability of choosing a large red fish is 5/15 or 1/3

3 0

3 years ago

Rounding 552,945 with the first 5 underlined

NISA [10]

553,000 is the answer for rounding up

8 0

3 years ago