Mathematics High School

Two families go to a zoo.
The Smith family of two adults and three children pay £61.
The Jones family of three adults and five children pay £96.
Work out the cost of an adult ticket and the cost of a child ticket.

Answers

Answer 1

Answer:

The adult tickets cost £17.00 and child tickets cost £9.00

Step-by-step explanation:

2a + 3c = 61

2a = 61 - 3c

a = 30.5 - 1.5c

3(30.5 - 1.5c) + 5c = 96

91.5 - 4.5c + 5c = 96

91.5 + 0.5c = 96

0.5c = 4.5

c = 9

a = 30.5 - 1.5c

a = 17

The adult tickets cost £17.00 and child tickets cost £9.00

Related Questions

A. g(x) = (- x)2 + 4
O B. g(x) = – x2 - 4
O c. g(x) = (- x)2 - 4
O D. g(x) = – x2 + 4

Answers

I am pretty sure the answer is d

Can someone help me please

Answers

Answer:9/40

Step-by-step explanation:

there is no use of hupotenuse as tanA = p/b

tell whether the slope is positive or negative. then find the slope.​

Answers

Answer:

slope is negative

m=-1

Step-by-step explanation:

the slope of a line is positive if it passes through Quadrants III and I. The slope is negative if it passes through II and IV.

yes, this line passes through Quadrant I alongside II and IV, but it doesn't pass through Quadrant III (it has to pass through Quadrant III to be positive)

that means that the slope of this line must be negative

We can calculate the slope (m) with this formula:

(y2-y1)/(x2-x1)

we can pick two points- for example, (1,3) and (2,2)

label the points:

x1=1

y1=3

x2=2

y2=2

now substitute into the equation

m=(2-3)/(2-1)

m=-1/1

m=-1

the slope is -1

Hope this helps! :)

The diameter of a wheel is 70 cm. How many times will the wheel revovle in order to cover a distance of 110 m?
p.s: please answer soon.

Answers

With a diameter of 70cm, the wheels circumference is 70(pi) or 237.9cm. When we divide 110m/0.2379m or 462.379 revolution. Round as you see fit.

Part A: Which of the following is the MOST reasonable equation for the line of best fit?

A : y = 3/4x + 8
B : y = -3/4x + 8
C : y = x + 8
D : y = 3/4x - 8

Answers

Answer:

A

Step-by-step explanation:

cannot be B because the slope is positive, not negative

cannot be D because the y-intercept is 8, not negative 8

HELP PLZZZ !!!HELP WHICH REPRESENTS THE WIDTH OF THE RECTANGLE IN YARds?!!!!

Answers

6x^2y^7 . width = 48x^3y^9
width = 48x^3y^9/6x^2y^7
width = 8xy^2

Ok so my mom is verbally abusive towards me and makes me cry almost everyday. I really want to run away but I have cameras all sides and some inside and a tracker on my phone that can read texts and show my precise location. I can’t go out of the window because my room has a sensor and I don’t have a roof slope like most of y’all do. I could go out of the kitchen window but one of the backyard cameras will see me jump the fence and leave. what do you think i should do? And what to pack because if I run away today I need to know what to pack and advice.

Answers

Answer: I think if you run away you should get closes and a lot of food go somewhere were she won't find you

Step-by-step explanation:

Please help TIA!!!!!!!!

Answers

Answe to your question would be: 160.14

how to solve 6x+4+5X+2=12X-4 to solve for x


Answers

11x+6=12x-4

6-4=12x-11x

therefore x=2

simple

Answer: x=2

6x+4+5x+2=12x-4

(6x+5x) (4+2) = 12x-4
11x+6=12x-4
-11 -11
6=x-4
-4
2=x

f(x)=x^2-4 need help​

Answers

NHDHDHDHDUDIDIDIDIDIFUFUTURURURURURURURURURURURURURUTURURYRYRYRYRYDYRYRYYRYRURYFRF

Hellohello, if you able to help me then please do. (:

Answers

the answer is L < 5 .

Hello! Can some please help me on this problem?

Answers

Answer:

It is 1) True hope this helps

Anyone knows geometry???
The answer choices are
A: 2 and 8
B: 1 and 4
C: 6 and 7
D: 5 and 8

Answers

Answer:

Option: A

Step-by-step explanation:

Hope it helps you!

Please answer all of the 3.
PLEASE! And I’ll give you 5 stars and a Thanks?! :)

Answers

Answer:

7) 2((7x12) + (7x2) + (12x2)

2(84 + 14 + 24)

2(122)

244

8) 2((13x4) + (4x6) + (13x6))

2(52 + 24 + 78)

2(154)

308

9) 2((4x15) + (4x8) + (15x8))

2(60 + 32 + 120)

2(212)

424

Step-by-step explanation:

Start time: 7:41 P.M.
Elapsed time:
End time: 8:50 P.M.

Answers

Answer:

Elapsed time: 1 hour and 9 minutes

Step-by-step explanation:

7:41 - 8:41 = 1 hour

8:41 - 8:50 = 9 minutes

1 hour and 9 minutes

Hope that helps!

Find the greatest common factor of 14 and 28​

Answers

The greatest common factor of 14 and 28 is 14

what does the variable x represent?

Answers

the x variable represents answer choice b

HELP TEST IS TIMED IF U DON'T KNOW PLEASE DON'T ANSWER
Braxton compared the number of shots taken by each team member during two basketball practices. The results are shown on the dot plots below. The mean number of shots taken at practice 1 is 13 and the mean number of shots taken at practice 2 is 14.5.


A dot plot titled Shots Taken at Practice 1. The number line goes from 10 to 16. There is 1 dot above 10, 1 above 11, 2 above 12, 4 above 13, 2 above 14, 1 above 15, and 1 above 16.
A dot plot titled Shots Taken at Practice 2. The number line goes from 10 to 16. There are 0 dots above 10, 11, and 12, 4 above 13, 2 above 14, 2 above 15, and 4 above 16.

Which is an accurate comparison of the two data sets?
The typical player took more shots at Practice 1, and the shots taken at Practice 1 showed less variability than the shots taken at Practice 2.
The typical player took more shots at Practice 2, and the shots taken at Practice 1 showed more variability than the shots taken at Practice 2.
The typical player took more shots at Practice 1, and the shots taken at Practice 1 showed the same amount of variability as the shots taken at Practice 2.
The typical player took more shots at Practice 2, and the shots taken at Practice 1 showed the same amount of variability as the shots taken at Practice 2.

Answers

The typical player took more shots at Practice 2, and the shots taken at Practice 1 showed more variability than the shots taken at Practice 2.

Answer: The typical player took more shots at Practice 2, and the shots taken at Practice 1 showed more variability than the shots taken at Practice 2.

Step-by-step explanation:

help i’ll give brainliest if you give a correct answer

Answers

Answer:

48 drops

Step-by-step explanation:

32/8 = 4 x 12 = 48 drops

Answer:

48 drops

Step-by-step explanation:

you see that for every 8 drops of yellow there's 12 drops of red and there ends up being 32 drops of yellow and 32/8=4 so you take 12x4 to get how many drops of red.

[tex](3)/(\sqrt(73)) in simpest radical form[/tex]

Answers

Answer:

the answer is [tex]\frac{3\sqrt{73} }{73}[/tex]

Step-by-step explanation:

If you have any questions feel free to ask  - Mark

find lcm of 7 by 24 and 17 by 36​

Answers

Step-by-step explanation:

LCM for 7 by 24=168

LCM for 17 by 36=612

Two parallel lines are cut by a transversal as shown below.
Suppose m∠5 = 104°. Find m∠2 and m∠4.
m∠2 = _°
m∠4 = _°

Answers

Answer:

Angle 2 = Angle 4 = 76

Step-by-step explanation:

Here, we want to get the measures of angle 2 and angle 4

From what we have in the diagram, angle 2 and angle 5 are supplementary (meaning they add up to 180)

The reason for this is because both angles are same side interior angles

Thus,

angle 2 + angle 5 = 180

angle 2 = 180 - angle 5

angle 2 = 180 -104

angle 2 = 76

Furthermore, we can see that angle 2 equals angle 4 as they are vertically opposite angles

Thus, angle 2 = angle 4 = 76

Which if the following is a geometric sequence?
Question 5 options:
A. 6,8,10,12
B. 3,6,12,24
C. 12,6,2,1
D. 5,-15,45,135

Answers

I think the answer is B.....

1. "-4 less than a number is 17."​

Answers

Answer:

yes

Step-by-step explanation:

Am I correct?? If not please correct me

Answers

The answer would actually be A
F(x)=3x^2+4x
G(x)=2x^2-x+1
The two x^2 items are both positive and are added together to be 5x^2
The two x items would be added together to get 3x cause of the -x
Then +1 is just +1
Making the equation 5x^2+3x+1
If we were subtracting you would be absolutely correct, but since we are adding would go the opposite direction.
I hope this helps!

Answer: 5x^2+3x+1

Step-by-step explanation:

Solving for (f+g)(x) add both functions so

(3x^2+4x)+(2x^2-x+1)

Add like terms

3x^2+2x^2=5x^2

4x+-x=3x

+1

Add terms

5x^2+3x+1

What is the distance between (-5,3) and (3,3)?

Answers

(8, 0) is the answer

Answer:

8

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

What is the surface area of the right prism below?

Answers

350
Find the area of each shape then add all of the areas to get your surface area

c + 6 < 7
what’s the answer??

Answers

Answer:

c<1

Step-by-step explanation:

If you needed c by itself this would be c<1

In ΔJKL, the measure of ∠L=90°, the measure of ∠J=9°, and KL = 49 feet. Find the length of JK to the nearest tenth of a foot.

Answers

Answer:

in triangle KLJ

relationship between perpendicular and hypotenuse is given by sin angle

sin9°=p/h

sin9=KL/KJ

sin9=49/x

x=49/sin9=313.2

the length of JK to the nearest tenth of a foot is 313ft

Answer:

Step-by-step explanation:

313.2

Please help me question is in the picture

Answers

Answer:

1. Down

2. 9 units down

3. Left

4. 5 units left

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