Tickets for 2 adults and 4 children at a theme park cost £152.

An adult ticket costs twice as much as a child ticket.

Write and solve an equation to work out the price of an adult ticket​

The Robotics Club Teacher

hope this helps and Merry Christmas and Happy Holidays!!!<3

Answer:

n=7m

Step-by-step explanation:

this answer is good on khan academy

The equation to describe the relationship between m and n will be n = 7m.

Firstly, there is proportional relationship.

Two values x  and  y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.

The constant k is called constant of proportionality.

In order to find an equation between n and m by dividing n/m

m = 3, n = 21

n/m = 21/3 = 7

n = 7m

Now, check using the other two points

m = 5, n = 35

n/m = 35/5 = 7

n = 7m

m = 8, n = 56

n/m = 56/8 = 7

n = 7m

Hence, The equation to describe the relationship between m and n will be n = 7m.

Learn more about proportional relationship variable here:

https://brainly.com/question/13082482

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Answer:

x^2 + 8x + 7

Step-by-step explanation:

We can see this expression as two distributive property expressions:

(x+7)(x+1) = x(x+1) + 7(x+1)

We can then expand and combine like terms:

(x^2 + x) + (7x + 7) = x^2 + 8x + 7

We have our final answer. I hope this helps! :)

Answer:

22222222222222222by5y-step explanation:

Answer:

The answer is 6x -7y = 21

Step-by-step explanation:

Im taking the diagnostic

the equation goes like this

y = ab^x

y = total cost

a = the intital amount (in your case the $1700)

b = the interest (since this is an exponetial growth it should be 1.013)

x = time

soo y = 1700(1.013)^x is the equation

Answer:

135 to 210

Step-by-step explanation:

Given

[tex]Base\ Charge = 10[/tex]

[tex]Additional\ Charge = 25[/tex] monthly

Months = 5 to 8

Required

Determine the range of the function

First, we need to determine the function equation.

Let total charges be y and months be x

[tex]y = Base\ Charge + Additional\ Charge * x[/tex]

[tex]y = 10 + 25 * x[/tex]

[tex]y = 10 + 25x[/tex]

When x = 5:

[tex]y = 10 + 25 * 5[/tex]

[tex]y = 10 + 125[/tex]

[tex]y = 135[/tex]

When x = 8

[tex]y = 10 + 25 * 8[/tex]

[tex]y = 10 + 200[/tex]

[tex]y = 210[/tex]

Hence, the range is 135 to 210

Answer:

6  "surprise" flavors jellybeans

Step-by-step explanation:

From the information given:

The bag contained a mixture of regular flavored jellybeans and "surprise" jellybeans.

There are 40 jellybeans in the bag.

If 15% of the jellybean were "surprise" flavors.

Then, the number of expected "surprise" jellybeans will be:

= 15% of 40 jellybeans

= (15/100) × 40

= 6  "surprise" flavors jellybeans

If  6 surprise jellybean is contained in the bag;

Thus, the number of regular flavored jellybean will be

= 40 - 6

= 34 regular flavored jellybean

Given:

The linear parent function, f(x)=x is vertically compressed by a factor of 4 and reflected over the x-axis.

To find:

The new function.

Solution:

The vertical stretch and compression is defined as

[tex]g(x)=kf(x)[/tex]

If k>1, then f(x) vertically stretched by factor k and if 0<k<1, then f(x) vertically compresses by factor [tex]\dfrac{1}{k}[/tex].

In the given problem, linear parent function, f(x)=x is vertically compressed by a factor of 4. So, [tex]k=\dfrac{1}{4}.[/tex]

[tex]g(x)=\dfrac{1}{4}f(x)[/tex]

Then, it is reflected over the x-axis.

[tex]G(x)=-g(x)[/tex]

[tex]G(x)=-\dfrac{1}{4}f(x)[/tex]       [tex][\because g(x)=\dfrac{1}{4}f(x)][/tex]

[tex]G(x)=-\dfrac{1}{4}x[/tex]       [tex][\because f(x)=x][/tex]

So, the new function is [tex]G(x)=-\dfrac{1}{4}x[/tex].

Therefore, the correct option is B.

Answer:g(x)=-1/4x

Step-by-step explanation:

Step-by-step explanation:

The magnitude of the 2D vector is sqrt[x² + y²].

wrong answer sorry bout that

Answer:

Perpendicular

Step-by-step explanation:

It is a symbol used for showing any two lines perpendicular to each other.

Answer:

The symbol ⊥ is representative of the perpendicularity of lines.

Step-by-step explanation:

For lines to be perpendicular, they must intersect and form a right angle (90 degrees).

For example, in the image shown:

[tex]AB[/tex] ⊥ [tex]XY[/tex]

This is because the two lines intersect and form a right angle.

Answer:

Step-by-step explanation:

We know the slope is rise over run. You can also find slope by using the formula (y2-y1)/(x2-x1) where x1, x2, y1 and y2 are points from the table. These points also aren't random and must correspond with each other. Example x1 and y1.

Answer:

12 minutes

Step-by-step explanation:

85/17=5

60/5=

12

Answer:

-300

Step-by-step explanation:

Answer:

32. 74

Step-by-step explanation:

Round money monetary answers to the nearest cent. ... using the Distributive Property and explain each step. ... Alison has $9.70 in dimes and quarters. ... It takes him 2.4 hours to get to Seattle, driving at 15 miles per hour faster than the.

Answ

A., D., B.

Step-by-step explanation:

Answer:

x divided by7 = 21

therefore x= 3

Step-by-step explanation:

so 21/7 = 3

therefore x=3

Answer:

147

Step-by-step explanation:

you have to multiply 7 by 21

hope this helps dont 4get to like and star

-mercury

Answer: D

Step-by-step explanation: i got it right

Answer:

D

Step-by-step explanation:

Answer:

m =2

Step-by-step explanation:

slope formula is m= y2-y1/x2-x1

m= 9-3/4-1

m= 6/3

m= 2

Answer:

I think its 2,7

Step-by-step explanation:

Answer:

13) 140

14)180

15)100

Step-by-step explanation:

13) a line is 180 and dgf is 80, the other one is 40, so 120 -180 is 60. add hat to 80, and you get 140

14) a line is 180

15) a line is 180 bgd is 40, dgf is 80, so egb is 60, add 60 and 40, and you get 100

Answer:

7a - 28

Step-by-step explanation:

multiply a and -4 by 7

7a - 28

Answer:

A new car would cost 400$

If 140$ is 35% of the price of a new car then all we need to do is find how much 1% of that new car is

35%:140$

divide by 35 on each side

1%:4$

If 1% is 4$ then 100% is 400$

Hope this helped

Step-by-step explanation: