the douglas family visits sealand and is charged $72.00 for 2 adults and 3 child tickets. the williams family also visited sealand and was charged $78.00 for 1 adult and 5 child tickets. how much would it cost the lopez family to go to sealand if they have 3 adults and 4 children

Answers

Answer 1
SIMULTANEOUS EQUATIONS
2a + 3c = 72
1a + 5c = 78 you need to get one of them the same so do 1a +5c=78 x2 =
2a + 10c = 156 , then 2a + 10c = 156 subtract 2a +3c= 72 which is 7c = 84 divide by 7 each side so c = 12 so a child ticket is £12 then so the same for the adults so 2a +3c= 72 x 5 = 10a + 15c =360 then do 1a + 5c = 78 x3 = 3a + 15c= 234 then 10a + 15c =360 subtract 3a + 15 c= 234 = 7a = 126 then divide by 7 each side so a = 18 so an adults ticket is £18
Then do 18 + 18 + 18 + 12 + 12 + 12 + 12 = 102 so it would cost the Lopez family £102 to go to sea-land

hope this makes sense .

Related Questions

(6x+1)+(-6x+1)=0

What property is this

Answers

Answer:

i believe this is the distriputive property

Step-by-step explanation:

hope this helpss

At a football stadium, 5% of the fans in attendance were teenagers. If there were 10 teenagers at the football stadium, what was the total number of people at the stadium?

Answers

Answer:

200 people were at the stadium

Step-by-step explanation:

Let us represent the total number of people at the stadium = x

At a football stadium, 5% of the fans in attendance were teenagers. If there were 10 teenagers at the football stadium

Hence:

5% of total number of people = 10 teenagers

5/100 × x = 10

5x/100 = 10

Cross Multiply

5x = 100 × 10

5x = 1000

Divide both sides by 5

5x/5 = 1000/5

x = 200

The total number of people in the stadium is 200

The ratio of apples to oranges is 4:3. If there are 16 apples, how many total fruits were there?

Answers

Answer:

There are a total of 28 fruits.

Step-by-step explanation:

4 in the ratio is 16. And the unit rate of it is 4. You multiply 3 by 4 which equals 12. 16+12=28.

What is the valur of y in the equation 2(3y - 6) = 0?​

Answers

2 because the difference in the equation must equal 0 so it must equal 6 so 6/3 is 2. Therefore the answer is 2

Answer:

y=2

Step-by-step explanation:

Distribute the 2 into 3y and -6:

6y-12=0

Move the -12 to the other side by adding both sides by 12:

6y-12+12=0+12

=

6y=12

divide both sides by 6:

y=2

What is the mapping notation that will transform triangle ABC to triangle A'B'C'?

Answers

Answer:

A'B'C' = A'(8,-3) B'(8,-6) C'(2,-6)

Step-by-step explanation:

Hope this helps you.

Answer:

Abc=e A

Step-by-step explanation:

someone explained

A train travels 120 km in 2 hours. What is its average speed?

Answers

Answer:

It's speed is 48 km/hr.

Note: The term "average speed" is only used when there are 2 or more given speeds.

Step-by-step explanation:

A function is a relationship between two quantities, called the ___ and the ___?

Answers

Answer:

domain and the range

Step-by-step explanation:

9+3.5g=11−0.5g i need this anwser plz help

Answers

Answer:

g = 1/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

9 + 3.5g = 11 - 0.5g

Step 2: Solve for g

Add 0.5g on both sides:                    9 + 4g = 11Subtract 9 on both sides:                  4g = 2Divide 4 on both sides:                      g = 1/2

Step 3: Check

Plug in g into the original equation to verify it's a solution.

Substitute in g:                    9 + 3.5(1/2) = 11 - 0.5(1/2)Multiply:                               9 + 1.75 = 11 - 0.25Add/Subtract:                      10.75 = 10.75

Here we see that 10.75 does indeed equal 10.75.

∴ g = 1/2 is a solution of the equation.

Answer: g= 0.5

Step-by-step explanation:

Add

3.5g and 0.5g. to get

9+4g=11

then subtract 9 from the 11 and you should get 4g=2.

then divide 4 from 2 and you should get the answer of 2/4.

simplify it and you should get the answer g=0.5

A scout troop sold cups of lemonade to raise money for a camping trip. The graph
below represents the situation.

Answers

Answer:

Part A- 3

Part B- 5

Step-by-step explanation:

Answer:

Part A: 3

Part B: 5y

step explanation:

I need it now plzs

Felipe sold t-shirts and hats at a festival. He made a $5 profit for each t-shirt he sold. He also made a profit of $40 from selling hats. If he made a total profit of $125, how many t-shirts did he sell?

Answers

Answer:

17 t-shirts sold

Step-by-step explanation:

If we assume that we don't need t find the number of hats, then we can say that the profit from -tshirts would be $125 minus 40 or $85

Then we can write the following equation of x is the number of t-shirts:

5x = 85

If we solve by diving both sides of the equation by 5:

5x/5 = 85/5

x = 17 t-shirts sold

Please help, will mark you as the brainiest! Please do NOT answer if you don’t know it!

Answers

Answer:

if oq or and os are bisectors then MN is 40, also it is a perpendicular angle so it would also be 40

Step-by-step explanation:

Sophia earned $480 in 32 hours. How many dollars did she earn per hour?
Sophia earne
dollars per hour.

Answers

Answer:

15 dollars an hour

Step-by-step explanation:

480/32=15

Answer:

Sophia Earned $15

Step-by-step explanation:

All you have to do is divide the amount she earned by the hours she worked to see how much money she earned per hour, then you get $15 dollars per hour.

I’m pretty bad at math :/ cam ya;; help its due today/ What is the slope of the line represented by

y= 12+ 1/2x ?

Answers

Answer:

1/2 (1 , 2)

Step-by-step explanation:

the number before the variable is the slope

Suppose x, y, and z are different positive integers such that xy, yz, and zx are all perfect
squares. Must x, y, and z be perfect squares? Why or why not?

Answers

Answer: Yes, and the numbers are 4, 36, and 9

Step-by-step explanation:

Yes, because it x=4, y=36, and z=9 then 4 * 36=144, 144=12*12 4*9=36, 36=6*6, and 9*36=324, 324=18*18. As you can see they are all perfect squares and 4, 36, and 9 are all perfect sqaures too.

Suppose $P$ is the point $(5,3)$ and $Q$ is the point $(-3,6)$. Find point $T$ such that $Q$ is the midpoint of segment $\overline{PT}$.
help qwikly

Answers

Answer:

(1,4.5)

([tex]\frac{5+(-3)}{2} ,\frac{3+6}{2}[/tex])

help math pls geometry ​

Answers

Answer:

The point is (8,2)

Step-by-step explanation:

Is this a square or rectangle or rhombus, etc.? Yes, because all the lines are all parallel.

Are AB and FG are parallel to each other right? Yes, so that means whatever you do to F will happen to G and we can start on A, it goes 6 down, then two to the right.

Since all lines are parallel how many steps we do on A to get F, we have to do to B to get G. So, (8,2).

Hope this helps!

Given the exponential function f(x) = 16(0.75)x, classify the function as exponential growth or decay and determine the percent rate of growth or decay.

Exponential growth, 75% increase
Exponential decay, 75% decrease
Exponential growth, 25% increase
Exponential decay, 25% decrease

Answers

Answer:

So the rate of decay is 0.25, or 25%.

Step-by-step explanation:

The variable r gives the rate of decay in the formula f(x) = P(1 − r)x = 16(1 − 0.25)x.

Answer:

Exponential decay, 75% decrease

Step-by-step explanation:

took the test

On Thursday the basketball coach ordered 12 pizzas for 36 players who came in for practice. How many pizzas does the coach need to order if 12 players turned up for practice the next day

Answers

Answer:16

Step-by-step explanation:Next day there will be (36+12) or 48 players.

For 36 players 12 pizzas are needed

For 1 player 12/36 pizzas are needed

For 48 players 12/36*48 or 16 pizzas are needed

The number of pizzas that 12 players will need is 4 based on the given ratio.

What are the ratio and proportion?

The ratio is the division of the two numbers.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

The ratio of pizza to players = 36/12

With the same ratio,

The number of pizzas required for x number of 12 players,

12/x = 36/12

x = 144/36 = 4

Hence "Based on the above ratio, 12 players will require 4 pizzas.".

For more information about ratios and proportions,

brainly.com/question/26974513

#SPJ2

slope word propblem for slope

Answers

Answer:

the answer is d(the last one

Step-by-step explanation:

160+25m=40+65m

the sign up fee plus how much each month

Lynn’s father is paying a $20 meal he has 15% off coupon for the Meal after the discount is 7% sales tax is applied what does Lynn father pay for them and explain or show your reasoning

Answers

Answer:

54

Step-by-step explanation:

3 is 5% of what number?

Answers

Answer:

60

Step-by-step explanation:

if 3 represents 5% and we know 5%*20 =100% then

3*20=60 represents 100%

Consider the function f(t) = StartRoot 3 t minus 9 EndRoot. You cannot take the square root of a negative number, so 3t – 9 must be zero.

Answers

Answer:

Greater than or equal to

Step-by-step explanation:

Answer:

1. Consider the function f(t) = .You cannot take the square root of a negative number, so 3t – 9 must be ____ to zero.

answer: C. greater thanless than or equal to✔

2. Set up an inequality showing that the radicand cannot be negative.

answer: A. 3t-9≥ 0

3.What is the domain of the function?

answer: D. Domain: t ≥ 3

hope this helps :)

The perimeter of a rectangle is 36 cm. The length is 10 cm longer than the
width. What are the length and width of the rectangle?

Answers

Answer:

Below

Step-by-step explanation:

X(x+10)=36

x= -5+sqrt 61 or-5-sqrt 61

since only the first one bigger than0, x is -5+sqrt61 and other side is sqrt61+5

Plzzzzzzzz helpe out​

Answers

Answer:

[tex]\frac{cos-sin^{2}+1 }{sin(1+cos)}\\\\=\frac{cos - sin^{2}+sin^{2}+cos^{2} }{sin(1+cos)}\\\\=\frac{cos+cos^{2} }{sin(1+cos)}\\\\=\frac{cos(1+cos)}{sin(1+cos)}\\\\=\frac{cos}{sin}\\\\=cot[/tex]

( 1 = sin² + cos²)

Step-by-step explanation:

Answer:

Sorry i don't understand

) 10 counters in a bag. 4 red, 3 green, 2 pink and 1 blue. Ella picks a counter at random from the bag, notes the colour and then puts it back in the bag. a) Ella uses this method to work out the probability of selecting 2 greens in a row. She writes: "There are four colours, so the probability of selecting a green is 1 4 + 1 4 = 2 4 , so the probability is 1 2 ." a) Make two criticisms of Ella's method. b) Calculate the probability of selecting two counters of the same colour. (

Answers

Answer:

a) i) The probability depends on the total number of counters not on the number of colors.

  ii) There are 10 number of counters not 4

b) [tex]\dfrac{3}{10}[/tex]

Step-by-step explanation:

Given that:

Total number of counters in a bag = 10

Number of red counters = 4

Number of green counters = 3

Number of pink counters = 2

Number of blue counters = 1

a) Ella writes: "There are four colors, so the probability of selecting a green is [tex]\frac{1}4 + \frac{1}4 = \frac{2}4[/tex] , so the probability is [tex]\frac{1}2[/tex]"

Ella has considered the total type of counters here, which is 4.

But Ella must have considered total number of counters which is 10.

  i) The probability depends on the total number of counters not on the number of colors.

  ii) There are 10 number of counters not 4

b) There are 4 colors in the bag.

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

To select 2 counters of the same color:

[tex]P(2\ red) = \dfrac{4}{10}\times \dfrac{4}{10} = \dfrac{16}{100}[/tex]

[tex]P(2\ green) = \dfrac{3}{10}\times \dfrac{3}{10} = \dfrac{9}{100}[/tex]

[tex]P(2\ pink) = \dfrac{2}{10}\times \dfrac{2}{10} = \dfrac{4}{100}[/tex]

[tex]P(2\ blue) = \dfrac{1}{10}\times \dfrac{1}{10} = \dfrac{1}{100}[/tex]

The required probability will be the sum of all 4 above probabilities:

[tex]P(2\ of\ same\ color) = \dfrac{30}{100} = \bold{\dfrac{3}{10} }[/tex]

Working alone, Dan can do a certain job in three hours and Stan can do the same job in two hours. At these rates, how long would it take Dan and Stan to do this job working together?

Answers

Answer:

2 hours and thirty minutes

Step-by-step explanation:

3+2=5

5/2=2.5

What is the value of x if 5^x+2 =5^9

Answers

Answer: 7

Step-by-step explanation: If they equal each other, then that must mean that the exponents equal. Therefore, we can draw out the conclusion that x+2=9, which is x=7

Find the equation of the line.
Use exact numbers.

Answers

Answer:

y=-3/2x+3

Good luck:)

A fireman is on the middle step of a ladder. (There are the same number of steps above him as below him.) If he goes down 4 steps, then up 7 steps, and then down 13 steps, he will be on the first step above the ground. How many steps does the ladder have?​

Answers

Answer:

The ladder has 20 steps

Step-by-step explanation:

10 is the direct middle if you go down 4 that is 6, if you go back up 7 you get 13 and if you go back down 13 and you are on the first step 13-13 is 0, so the ladder has 20 steps.

How do you find the degree of a polynomial function/ graph in algebra 2??

Answers

Answer:

which way are the arrows facing on the graph? How many times does the fuction change directions?

Step-by-step explanation:

if arrows are going in same direction, degree is even and then count the number of direction changes for exact number

if arrows are going in opposite directions, degree is odd and then count direction changes

Other Questions
How do I write a formal letter to my local government chairman per day on average in front of a screen doing very little to no The average & to 18-year-old spends physical activity. A. O hours B. 30 minutes C. 1 hour D. 3 hours or moreplease hurry I really need the answer DE LA LECTURA DEL PRIMER CAPITULO DEL LIBRO "PIENSE Y HAGASE RICO", APLIQUE LA TECNICA DE LA PREDICCIN PARA OBTENER UNA MEJOR COMPRENSION DE LA LECTURA. Which religious ritual involves a Muslim pilgrimage?A. VaisakhiB. HajjC. EasterD. DiwaliE. Lent Every 15 minutes, a shuttle bus transports 14 people to the airport terminal How many people can the shuttle bus transport in 9 trips to the airport terminal? The value of a boat if depreciating at at a rate of 9% per year. In 2006 the boat was worth $17,800. Find the worth of the boat in 2013. Pick one federal agency discussed in the lecture and describe what it does to promote the general welfare in the United States today. How does Acting as Jesus did" make us authentically free? In Romeo and Juliet whay has Montague been worried about his son, Romeo? Please help!! if you can explain if not that is fine. what 3 things would you bring to a deserted island? Is metal denser than milk? Which statement best describes the role of the vice president in Congress?A: The vice president assigns bills to committees in the House of Representatives.B: The vice president casts tie-breaking votes in the House of Representatives.C: The vice president assigns bills to committees in the Senate.D: The vice president casts tie-breaking votes in the Senate How many games did he win? Help what's the simplified expression? PLEASE HELP MARKING PEOPLE AS BRAINLIST The purpose of cytokinesis is to A:Destroy the parent cell B:Divide the parent cell in two C:Rebel against society D:Create a mutation Johnson wants to load Solver in Microsoft Excel. For this, he clicks the series: File > Options > Add-Ins > Manage Box > X > Go > Add-ins available box > Solver Add-in check box > OK. What can X be in the procedure?A) COM Add-insB) Excel Add-insC) Disabled ItemsD) XML Expansion Packs The following claim is made in an argumentative essay: Algebra should not be required for high school graduation. Which counterclaim would be the most effective? Algebra is not really needed in the real world. Algebra skills are needed for jobs in dozens of high-paying fields. Many think that algebra is a fun subject that students enjoy. My big brother failed algebra and had to go to summer school. All three major religions in the Middle East believe this city is very special, or even holy, and therefore one of the most important places in the world.Group of answer choicesJerusalemMedinaMeccaIsrael I need help please I'm not quite sure how the formula works. I thought it was 55*6*9.81 = NWeight * acceleration * gravity = NMy answer was wrong. Could anyone help me understand this question, please?"When landing after a spectacular somersault, a 55.0 kg gymnast decelerates by pushing straight down on the mat. Calculate the force (in N) she must exert if her deceleration is 6.00 times the acceleration of gravity."