Cinema tickets for 1 adult and 3 children cost €27. The cost for 2 adults and 5 children is €48. Find the cost of one adult ticket and the cost of one child ticket.

Answers

Answer 1
Lets name adult price as X and child price as Y
then
1X+3Y=27 (1)
2X+5Y=48 (2)

From (1) we see that X=27-3Y
Lets replace X in (2) with this formula

2(27-3Y)+5Y=48 or 54-6Y+5Y=48 and 54-Y=48 and Y=54-48 so Y=6

From (1) X=27-3*6; X=27-18; X=9

Adult = 9€
Child = 6€

Related Questions

PLS HELP!!!!!
Which pair of fractions shows 5/6 and 3/8 correctly converted with their least common denominator? A. 5/48 and 3/48 B. 40/48 and 18/48 C. 5/24 and 3/24 D. 20/24 and 9/24

PLS HELP!!!!!

Answers

B but I may be wrong but I hope I heped

12(x-17) rewrite the expression without using grouping signals

Answers

Grouping signals means parentheses so we need to distribute:

12x - 204

Hope this helps!
you have to do the distributive property and you get 12x - 204

A train travels 558 miles in 3 hours. At this rate, how far does the train travel per hour?

Answers

558 divided by 3 = 186 answer is 186mph
[tex]3 hours = 558 miles 1hour = x miles Cross multiply 3x = 558*1 3x = 558 Divide both sides by 3 3x/3 = 558/3 x= 186 [/tex]


I hope I helped!

100 envelopes cost you .70 what would 250 envelopes cost you

Answers

250/100 = 2.5
2.5*7 = 1.75
$1.75

Hope this helped!
1.75 is the answer









that's is the answer

The minimum height for riding on the Super Screaming Spinner at the theme park is 52 inches. Which of the following expressions shows the height to ride?

A. h < 52
B. h ≤ 52
C. h > 52
D. h ≥ 52

Answers

Answer:

D )Expression for height to ride is h ≥ 52

Step-by-step explanation:

Given : The minimum height for riding on the Super Screaming Spinner at the theme park is 52 inches.

To find : Which of the following expressions shows the height to ride.

Solution : We have given that

Minimum height of spinner = 52 inches.

It state that  height of spinner for riding at least  52 it mean it must be 52 or greater than 52

Therefore, D )Expression for height to ride is h ≥ 52

Answer:  Option 'D' is correct.

Step-by-step explanation:

Since we have given that

The minimum height for riding on the Super Screaming Spinner at the theme park is 52 inches.

So, Let the height to ride be 'h'.

We have mentioned that value of h is must be greater than or equal to 52 inches.

So, it becomes,

[tex]h\geq 52\ inches[/tex]

Hence, Option 'D' is correct.

HELP ME PLEASE!!!!!!!! Evaluate. 2⋅(5855)

Answers

The explanation provides a step-by-step process to determine the minimum trips required for the miners to cross the river.

To determine the minimum number of trips required for the miners to cross the river, we need to carefully consider the constraints given.

First, A and B can cross together because the maximum combined weight of their cargoes is 90 kg (40 + 50) which is less than 100 kg.

Then, A returns alone, carrying B's cargo, leaving B and C on the other side. B and C cross together as the combined weight of their cargoes is 40 kg (20 + 20) which is less than 100 kg.

Finally, B returns and takes A's cargo, crossing with C's cargo. In total, the minimum number of trips needed is 9 (Option A).

When Mr. J. Raff took his two children to the zoo, their tickets cost $8.75. The next family in line was Mrs. Ella Fant with Grandpa and the five Fant kids. Their tickets cost a total of $19.75. How much does the zoo charge for each adult and for each child?

Answers

A + 2K = 8.75
2A + 5K = 19.75
Change the first expression so that we can subtract the As
2A + 5K = 19.75
2A+4K= 17.50
If the signs are the same, subtract one expression from another
K= 2.25
substitute K into any expression to get A
A+4.50= 8.75
Subtract 4.50
a=4.25


K=$2.50
A= $4.25


Final answer:

The zoo charges approximately $4.42 for each adult and $0.92 for each child.

Explanation:

To determine the cost of an adult ticket, we can subtract the cost of the children's ticket from the total cost. Let's set up a system of equations using variables for the cost of an adult ticket (a) and the cost of a child ticket (c):

a + 2c = 8.75

a + 5c = 19.75

Multiplying the first equation by 5 and subtracting the second equation from it, we get:

5a + 10c - a - 5c = 43.75 - 19.75

4a + 5c = 24

Now we can solve this system of equations to find the values of 'a' and 'c'.

Multiplying the first equation by 4 and subtracting the second equation from it, we get:

4a + 8c - 4a - 20c = 35 - 24

-12c = -11

c = -11 / -12

c = 11 / 12

Substituting the value of 'c' back into the first equation, we get:

a + 2 * (11 / 12) = 8.75

a + 11 / 6 = 8.75

a = 8.75 - 11 / 6

a = 53 / 12

So, the zoo charges approximately $4.42 for each adult and $0.92 for each child.

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A polygon is regular if each of its sides has the same length. Find the perimeter of the regular polygon. #36

Answers

36) Answer: 3cm

Finding the value of x:
5 - 2x = -4x + 9
-2x + 4x = -5 + 9
2x = 4
x = 2

Finding one side of the triangle:
5 - 2(2)
= 1cm

Perimeter of the triangle:
1 x 3
= 3cm

The perimeter of the triangle is 3 unit.

What is a Triangle?

A triangle is a polygon with three sides, angles and vertices.

The triangle is classified into various types on the basis of the angle and on the basis of the equality of the length of the sides, as obtuse , acute and right angled triangle and scalene, isosceles and equilateral triangle.

A polygon is called regular if it has all sides equal.

The figure shows a triangle.

The two sides of the triangle are 5-2x and -4x+9

When all the sides of the triangle is equal, it is called an equilateral triangle.

5-2x = -4x +9

Taking the like terms on one side,

-2x +4x = 9 -5

2x = 4

x = 2

The measure of each side is,

5 - 2*2 = 1

-4x +9 = -4 * 2 +9 = 1

The side length is 1 unit.

The perimeter of a triangle is the sum of all sides, as all the sides are equal, the perimeter is equal to 3 * side.

Perimeter = 3 * 1

Perimeter = 3 unit.

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lester and kari are playing a number pattern game. kari wrote the following pattern. 45.5,49,52.5,__,59.5

what is the unknown number in the pattern kari wrote?

show work

Answers

the answer is going to be 3.5 more than 52.5 so the answer is 56.

At basketball camp, Kyle scored 4 more than one fifth as many points as Kurt. If Kyle scored 12 points, how many points did Kurt score?

Answers

Kyle: 4 + 1/5*12
=4+2.4
=6.4

Naomi is two-thirds as tall as her father. If Naomi is 54 inches tall, how tall is her father?

Answers

54/2*3
=27*3
=81
answer is 81 inches

Answer:

Naomi's father is 81 inches tall.

Step-by-step explanation:

Naomi is two-thirds as tall as her father.

Let "x" be the Naomi's father height.

Naomi is 54 inches tall.

[tex]\frac{2}{3}.x = 54[/tex]

We need to solve for x.

To solve for x, multiply both sides by the reciprocal of [tex]\frac{2}{3}[/tex].

The reciprocal of [tex]\frac{2}{3}[/tex] is [tex]\frac{3}{2}[/tex].

[tex]\frac{3}{2} . \frac{2}{3} . x = 54.\frac{3}{2}[/tex]

x = [tex]54.\frac{3}{2}[/tex]

x = 27.3

x = 81

So, Naomi's father is 81 inches tall.

Please help me out with this

Answers

The numbers in the chart are -7.1, -3.4, -1.2, 2.1, and 3.4. So, from greatest to least the numbers will be:

3.4, 2.1, -1.2, -3.4, and then -7.1.

With absolute value, the numbers from greatest to least are: 

|7.1|, |3.4|, 3.4, 2.1, |1.2|.

However, this is assuming that Friday is 3.4, which was given information on the last question. Hope this helps!

256804 to nearest hundred thousand

Answers

is this the question (2,568.04 to the nearest thousand or is it 256.804 to the nearest thousand?)

I believe if you round up the answer would be 300,000

in order for Brady to earn a b in his biology course, his test scores must average at 80%. ON the first 5 tests, he has an average of 77%. There is one test remaining in the course. What is the minimum score Brady needs to earn on the last test to receive a b in the class?

Answers

In order for him to have a 77% on his first 5 tests, that means the total amount of points earned on those 5 tests was 385 points out of 500 points.
(77*5 out of 5*100 points)
So if we want to add a test and have a 80% average this is what we have to do:
(385+x)/6 = 80 (multiply by 6 on both sides)
385 + x = 480 (minus 385 on both sides)
x = 95

Answer:

Brady needs to earn a 95% on the final test

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

Before we can actually solve this we need to create a formula that calculates the grade of the last test in order to get an average of 80%. Since he got a 77% average for his first 5 tests, we can multiply 0.77 by 5, add the final test and then divide by the total amount of tests taken. Like so,

[tex]0.80 = \frac{(0.77*5)+x}{6}[/tex]

[tex]0.80 = \frac{3.85+x}{6}[/tex] .... multiply both sides by 6

[tex]4.8 = 3.85+x[/tex] ... subtract both sides by 3.85

[tex]0.95 = x[/tex]

Finally, we can see that Brady needs to earn a 95% on the final test in order to increase his overall average to 80%.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

twice a number (x) is less than 10

Answers

2x < 10

Solving:

Divide each side by 2

x < 5

Hope this helps!

I need the answer to RACING in Blue

Thanks

Answers

I'm not up to this in math yet, but I'm guessing you add all the numbers together?

if a data set has 16 data values the number of values in the upper quartile is

Answers

A set of data has an interquartile range of 20 and a lower quartile range of 6. if the data is symmetrica, what is the value of the median?

Please help and explain the outcome..Thanks so much

Answer:

its 4

Step-by-step explanation:

Which expression is not equivalent to the others? Explain your reasoning.
_-1/4 -1/4 1/-4 _-1/-4

Answers

The expression that is not equivalent it the last one:  -1/-4
The rest of the expressions are equal to: -0.25
The last one is: 0.25

The reason it is not equivalent is because it is a negative divided by a negative whereas the rest are a negative divided by a positive. A negative divided by a negative will equal a positive. It was the only positive integer in the expressions listed above. Thus, the answer is: -1/-4

What is 11 divided by 3

Answers

11÷3= 3 2/3
There would be a remainder which goes on and on as a decimal.. so you need to write it as a mixed number instead..

How can the statement be written as a conditional statement in if-then form? Lines on a coordinate plane are perpendicular if they have opposite reciprocal slopes.
A) If lines on a coordinate plane have opposite reciprocal slopes, then they are perpendicular.
B) If lines are on a coordinate plane, then they are perpendicular.
C) If lines are on a coordinate plane, then they have opposite reciprocal slopes.
D) If lines have opposite reciprocal slopes and are perpendicular, then they are on a coordinate plane.

Answers

the answer IS A. got it right on e2020

Final answer:

The correct conditional statement in if-then form for the given statement is 'If lines on a coordinate plane have opposite reciprocal slopes, then they are perpendicular', which is option (A).

Explanation:

The given statement can be written as a conditional statement in if-then form: 'If lines on a coordinate plane have opposite reciprocal slopes, then they are perpendicular'. This represents the option (A). Here, the 'if' part presents the condition of lines on a coordinate plane having opposite reciprocal slopes, and the 'then' part gives the conclusion that they are perpendicular. It's called conditional since the conclusion depends on the condition being true.

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What is 5.3 divided by 0.2

Answers

26.5 is the answer have a nice day!
Final answer:

5.3 divided by 0.2 is equal to 26.5.

Explanation:

To calculate 5.3 divided by 0.2, you can divide the numerator (5.3) by the denominator (0.2). In this case, 5.3 divided by 0.2 is equal to 26.5.

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What is 23.3 divided by 119?

Answers

it think it is .12 hope it helps
It is .1170, but rounded it would become .12

Translate into an algebraic expression:

How old Steve will be in 2 years if k years ago he was w years old?

Answers

to find his current age we need to add his age back then and the amount of years.

k + w is his current age.

We need to find his age 2 years in the future.

k+w+2 is your answer

Hope this helps!

Solve for x.
6x - 2 = x - 2
--------
4


The 6x - 2 is divided by 4

Answers

[tex]\frac{6x-2}{4}=x-2[/tex]
multiply both sides by 4
6x-2=4(x-2)
6x-2=4x-8
minus 4x both sides
2x-2=-8
add 2 to both sides
2x=-6
divide both sides by 2
x=-3

Chris wants to order DVD’s over the internet.Each dvd cost $15.99 and shipping the entire order costs $9.99.If he can spend no more than $100,how many DVD’s could he buy (please so all work)

Answers

Answer: There are 3 DVD s that can be bought with under $100.

Step-by-step explanation:

Since we have given that

Cost of DVD = $15.99

Cost of Shipping = $ 9.99

Total cost per DVD would be

$15.99 + $9.99 = $ 25.98

Amount he has to spend no more than $ 100.

So, number of DVDs would be

100 ÷ 25.98 = 3.84

Hence, there are 3 DVD s that can be bought with under $100.

Chris can order 3 DVDs over the internet, if he spent $100.    

Given here,  

Cost of DVD = $15.99  

Shipping Cost = $ 9.99

Amount spend = $ 100.

Total cost per DVD,  

$15.99 + $9.99 = $ 25.98

 

So, number of DVDs would be buy,  

100 ÷ 25.98 = 3.84

Therefore, Chris can order 3 DVDs over the internet, if he spent $100.

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https://brainly.com/question/21398141

Chase answers 3/4 of his math questions correctly. There were 40 questions on the test.

a. How many did he get right?

b. How many did he miss?

Answers

1. find out how many 4thrs make up 40 which 10 would be one 4 so he would have 30 right and 10 wrong because together 30 + 10=40 which is the whole amount

The ratio of the side length of Square A to the side length of Square B is 4:9. The side length of Square A is 12 yards. What is the perimeter of Square B?

Answers

A/B : 4/9 = 12/B
         cross multiply
         (4)(B) = (9)(12)
         4B = 108
         B = 108/4
         B = 27

P = 4a...where a is the length of one side
P = 4(27)
P = 108 yds <=== perimeter of square B
         

What is the value of p? 3+17p=−32−11p

Answers

3+17p=−32−11p
17p + 11p = -32 - 3
28p = -35
    p = -35/28
    p = -5/4
or 
    p = -1 1/4

The value of p in this equation 3 + 17p = -32 - 11p is -5/4. To find the value of p, we need to solve the equation: 3 + 17p = -32 - 11p

First, let's gather all the terms involving p on one side of the equation:

17p + 11p = -32 - 3

Now, combine the p terms:

28p = -35

Now, isolate p by dividing both sides of the equation by 28:

p = -35 / 28

To simplify the fraction, we can divide both the numerator and denominator by the greatest common divisor (GCD) of 35 and 28, which is 7: p = -5/4

So, the value of p is -5/4.

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round 5370288 to the nearest 100,000

Answers

5400000 because 7 is after three so it turns to 4
Salutations!

Round 5,370,288 to the nearest 100,000

To round the number to the nearest hundred thousands, you need to know whether the number next to hundred thousands is greater than 5 or lesser than 5. If it's greater than 5, round up by adding plus 1 to the hundred thousands place. If it's lesser than 5, round down by adding zeros accordingly.

5,370,288 rounded to the nearest thousands is 5,400,000.

Hope I helped :D

Find the greatest factor of 70, 30 and 50

Answers

The greatest common factor is 10
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