Amelia rented a DVD and it was due to be returned on 26 November. She actually returned it to the shop on 12 December. The rental shop applies a fine of 9p for every day the DVD is overdue. Work out the total fine paid by Amelia, give your answer in £.

Answer: 216 square units

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Explanation:

A common pythagorean triple you may be familiar with is the 3-4-5 right triangle. This has two legs of 3 and 4, and a hypotenuse of 5. The perimeter is 3+4+5 = 7+5 = 12. Note how this is a factor of 72.

If we multiply the perimeter (12) by 6, then 12*6 = 72. So we have scaled the triangle by a factor of 6. Each length is 6 times longer

the side length 3 becomes 3*6 = 18

the side length 4 becomes 4*6 = 24

the side length 5 becomes 5*6 = 30

The new perimeter is 18+24+30 = 42+30 = 72

The last step is to find the area. The two legs of this triangle are the base and height

area = 0.5*base*height

area = 0.5*18*24

area = 9*24

area = 216

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Or you could find the area of the 3-4-5 right triangle to get

area = 0.5*base*height = 0.5*3*4 = 6

then multiply by 36 to get 6*36 = 216. The 36 is the square of the scale factor 6 we applied above. The new lengths are 6 times longer, so the new area is 6^2 = 36 times larger.

Answer:

$240,000

Step-by-step explanation:

Mr. Sanford's fortune is x

Then we got the equation:

Mr. Sanford’s fortune was $240,000

Answer:

-15

3

Step-by-step explanation:

6x-y=-9

6x-(15)=-9

-12x-4y=0

-12x-4(3) =0

-12-12=0

Answer:

i would like to  say you divide but not shure im just starting 8th grade but good luck

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

f(0) = 7

f(1) = 2f(0) - 3 = 11

f(2) = 2f(1) - 3 = 19

f(3) = 2f(2) - 3 = 35

Answer:

20

Step-by-step explanation:

I do not know how to explain it for you thanks

Answer:

27

Step-by-step explanation:

2+7=9.

9x3=27

72+9=81

27x3=81

Answer:

[tex]\huge\boxed{4}[/tex]

Step-by-step explanation:

=> [tex]\sqrt{b^2-4ac}[/tex]

Given that a = 3 , b = 8 and c = 4

=> [tex]\sqrt{(8)^2-4(3)(4)}[/tex]

=> [tex]\sqrt{64-48}[/tex]

=> [tex]\sqrt{16}[/tex]

=> 4

Answer:

a) 39

b) 4

Step-by-step explanation:

[tex] {7}^{2} = 7 \times 7 = 49[/tex]

Answer:

0.6875

Step-by-step explanation:

11 divide 16 and you get 0.6875

Answer:

The answer is 11/16=0.6875.

Answer:

it is D

Step-by-step explanation:

Answer:

1024π, 3215.36

Step-by-step explanation:

The formula for the area of a circle is πr^2

R is the radius, which is already given to us. We need to find r^2

32x32=1024

1024π

We can leave it in terms of pi or we can solve it out.

1024x3.14=3215.36

1024π, 3215.36

Answer:

see below

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi * 32^2

A =1024 pi units^2

If we use pi = 3.14

A = 3215.36 units^2

If we use the pi button

A =3216.990877 units^2

Answer:

Option (3)

Step-by-step explanation:

If binomial (x - 6) and trinomial (-2x² + x + 9) are the factors of a polynomial then their multiplication will be equal to the polynomial.

(x - 6)(-2x² + x + 9) = x(-2x² + x + 9) - 6(-2x² + x + 9)

                              = -2x³ + x² + 9x + 12x² - 6x - 54

                              = -2x³ + 13x² + 3x - 54

Therefore, Option (3) will be the correct option.

Answer:

16x - 5

Step-by-step explanation:

2(x-3) + 2(7x+1) since there are 4 sides, 2 which have the same dimensions

2x - 6 + 14x + 1 = 16x - 5

The simplified expression of the perimeter of the rectangle should be 16x - 4.

Given that

We know that

The perimeter of the rectangle be

= 2(length + breadth)

= 2(x - 3 + 7x +1)

= 2x - 6 + 14x + 2

= 16x - 4

Therefore we can conclude that the simplified expression of the perimeter of the rectangle should be 16x - 4.

Learn more about the rectangle here: brainly.com/question/20733283

Answer:

a20=a+19d

or,100=a+19d

or, a=100-19d--------(I)

again,

a50=a+49d

or, 400=a+49d

or, a=400-49d--------(ii)

equating equations,we get

100-19d=400-49d

or, 30d=300

so, d=10

Step-by-step explanation:

plz mark it as brainliest

Answer:  The answers are in the steps.

Step-by-step explanation:

A standard form equation says that Ax + By=C

SO we have to set all the equations to be like that.

43.  y = 12x     Subtract 12x from both sides.

    -12x + 1y = 0      In this case -12  is A, 1 is B , and 0 is C.

44 .  -4y =3x -24      subtract 3x from both sides

     -3x - 4y = -24     A is -3 , B is -4, and  C is -24  

45. 4x = 8y - 12         Subtract 8y from both sides.  

   -8y     -8y

  4x - 8y = -12         A is 4, B is -8 and C  is -12  

46. If we are given the equation y=65x and x represent the number of hours spent driving. And it says that how far do you travel in 8 hours then plot 8 into the equation for x and solve for y.

y = 65(8)

y= 520  

They traveled 520 miles in 8 hours .

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Explanation:

It might help to move either line m or line n to make them parallel to one another. This isn't required but it might help to see the answer better.

Angles 1 and 2 are between lines m and n, so they are interior angles. They are alternate interior angles as they are on alternate sides of the transversal line.

Angles 2 and 3 are on the same side of the transversal, and both are above their adjacent parallel line counterpart, so they are corresponding angles.

Angles 3 and 4 are outside the interior region, and they alternate on either side of the transversal. They are alternate exterior angles.

Angles 1 and 4 are corresponding for similar reasons as angles 2 and 3 are.

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Notes:

Answer:

Step-by-step explanation:

sum of angles of parallelogram=360 degrees

adjacent angles add up to 180 degrees (supplementary angles)

Angle A=104 (DAB=104)

Angle D=180-104=76 degrees (angle ADB)

Angle B=60 degrees

Angle C=180-60=120 (DCB)    

Answer:

Hey there!

Let x be the number.

Thus, we have [tex](x-9)^3[/tex]

Hope this helps :)

Answer:

B: A way to draw precise figures using a compass and a straightedge.

Step-by-step explanation:

In geometry, the term 'construction' refers to the draw geometrical shapes and figures accurately. The lines, angles, figures, and shapes are drawn with the help of a compass, ruler, and pencil. Arcs and lines are drawn neatly and angles are constructed. The lines and shapes are constructed without known lengths or angles with the help of the compass, pencil, and ruler.

Answer:

the answer is actually PS (7x - 7)

Hoped that I helped

Answer: 3 min

Step-by-step explanation:

Step 1. Find the constant speed

you walked 1000 feet in 15 min

1000 ft/ 15min=200/3 ft / min

Step 2. Apply the constant speed to the left distance

You already walked 1000 feet and it is total 1200 feet

1200-1000=200 feet left

distance ÷ speed=time

200 ÷ (200/3)=3 min

Hope this helps!! :)

Please let me know if you have any question

Answer: 14 minutes

Step-by-step explanation:

Given: A tap pours [tex]6\dfrac13[/tex] liters of water per minute.

To find : Time taken to fill an[tex]88 \dfrac23[/tex] liters capacity tank.

which is given by :-

Time = [tex]88 \dfrac23\div 6\dfrac13[/tex] minutes

[tex]=\dfrac{3\times88+2}{3}\div\dfrac{3\times6+1}{3}[/tex]  minutes

[tex]=\dfrac{266}{3}\div \dfrac{19}{3}[/tex] minutes

[tex]=\dfrac{266}{3}\times\dfrac{3}{19}[/tex]  minutes

[tex]=\dfrac{266}{19}=14\text{ minutes}[/tex]

Hence, it will take 14 minutes to fill an[tex]88 \dfrac23[/tex] liters capacity tank.

Answer:

infinite solutions

Step-by-step explanation:

2x-6 = 3x+1-X-7

Combine like terms

2x-6 = 3x-x +1-7

2x-6 = 2x -6

subtract 2x from each side

-6 = -6

Since this is a true statement, x can be any real number

Answer:

22 hours

Step-by-step explanation:

pay rate = (amount of money)/time

(pay rate) * time = amount of money

time = (amount of money)/(pay rate)

time = $275/($12.50/hour)

time = 22

Answer: 22 hours

Answer:

22 hours

Step-by-step explanation:

We know that Terrance makes $12.50 per hour and he made $275 a week. We can divide 275 by 12.50 :

275 ÷ 12.50 = 22

So Terrance worked 22 hours

Check answer:

22 x 12.50 = 275

Answer:

Neither

Step-by-step explanation:

The function is neither because if it was even it would follow the rules of:

[tex]f(-x)=f(x)[/tex]

and if it was odd it would follow the rules of:

[tex]-f(x)=f(-x)[/tex]

but instead it follows the rule:

[tex]-f(x)\neq f(-x))\\[/tex]