Billy wants to buy these tickets for a show: 4 adult tickets at £15 each and 2 child tickets at £10 each. A 10% booking fee is added to the ticket price. 3% is then added for paying by credit card. Work out the total charge for these tickets when paying by credit card.

Answer:

B) 1/3

Step-by-step explanation:

If n=1 and k=3, then 8^n=2^k is true. Therefore, n/k=1/3.

Step-by-step explanation:

A. r=42/2=21

B.

[tex] {21}^{2} \pi + 60 \times 42 = \\ = 441\pi + 2520[/tex]

C.

[tex]42\pi + 60 \times 2 = \\ = 42\pi + 120[/tex]

100 people

6x4= 24

100-24= 76

76÷4= 19

19+4=23

lmk if I'm wrong

Answer:

5 times

Step-by-step explanation:

1/6·30=5

so your answer is b)5

Can i have a brainliest please or 10 points?

Answer:

your answer will be P=27

Step-by-step explanation:

hope it helps...

Answer:

12897 square feet

Step-by-step explanation:

So first find the area of the square:  

85 * 85 = 7225

Then, the two semi circles together is a full circle. Use the circle area formula,

A = πr^2

The radius (r) would be half the diameter of the circle. The diameter of the circle would be 85. So half of that is 42.5. The radius is 42.5

Now:

A = π(42.5)^2

A = 3.14(42.5)^2

A = 3.14(1806.25)

A = 5671.625

Lastly, add the two areas up for the square and circle:

7225 + 5671.625 = 12896.625

Round to nearest tenth: 12897

Answer:

Step-by-step explanation:

To find:-

Answer:-

We are here given that the value of,

[tex]\longrightarrow \cos\theta=\dfrac{3}{\sqrt{22}} \\[/tex]

And we know that cosine is the ratio of base and hypotenuse. Therefore,

[tex]\longrightarrow \cos\theta =\dfrac{b}{h} \\[/tex]

So we can also say that,

[tex]\longrightarrow \cos\theta = \dfrac{b}{h}=\dfrac{3}{\sqrt{22}}\\[/tex]

Let us take the given ratio to be 3x:√22x . Now we may find out the value of perpendicular using Pythagoras theorem . The Pythagoras theorem is ,

Pythagoras theorem:-

Mathematically,

[tex]\longrightarrow \boxed{ \boldsymbol{p^2+b^2=h^2}} \\[/tex]

where the symbols have their usual meaning.

On substituting the respective values, we have;

[tex]\longrightarrow p^2+(3x)^2=(\sqrt{22}x)^2 \\[/tex]

[tex]\longrightarrow p^2 = 22x^2-9x^2\\[/tex]

[tex]\longrightarrow p^2=13x^2 \\[/tex]

[tex]\longrightarrow \boldsymbol{ p = \sqrt{13}x} \\[/tex]

Now again , we know that, tangent is defined as the ratio of perpendicular and base. Therefore,

[tex]\longrightarrow \tan\theta = \dfrac{p}{b} \\[/tex]

[tex]\longrightarrow \tan\theta = \dfrac{\sqrt{13}x}{3x}\\[/tex]

[tex]\longrightarrow \boldsymbol{ \tan\theta = \dfrac{\sqrt{13}}{3}}\\[/tex]

Now we may use a identity which is ,

[tex]\longrightarrow\boxed{ \boldsymbol{ \tan (2x)= \dfrac{2\tan x}{1-\tan^2 x}}}\\[/tex]

On substituting the respective values, we have;

[tex]\longrightarrow \tan2\theta = \dfrac{ 2\tan\theta}{1- \tan^2\theta}\\[/tex]

[tex]\longrightarrow \tan2\theta = \dfrac{2\bigg(\dfrac{\sqrt{13}}{3}\bigg)}{1-\bigg(\dfrac{\sqrt{13}}{3}\bigg)^2 } \\[/tex]

[tex]\longrightarrow \tan2\theta = \dfrac{\dfrac{2\sqrt{13}}{3}}{1-\dfrac{13}{9}} \\[/tex]

[tex]\longrightarrow \tan2\theta = \dfrac{\dfrac{2\sqrt{13}}{3}}{\dfrac{9-13}{9}} \\[/tex]

[tex]\longrightarrow \tan2\theta = \dfrac{\dfrac{2\sqrt{13}}{3}}{\dfrac{-4}{9}} \\[/tex]

[tex]\longrightarrow \tan2\theta = -\dfrac{2\sqrt{13}\cdot 9}{3\cdot 4 } \\[/tex]

[tex]\longrightarrow \boxed{\boldsymbol{ \tan2\theta = -\dfrac{3\sqrt{13}}{2}}} \\[/tex]

This is the required answer .

Answer:

138.16

Step-by-step explanation:

Answer:

I believe answer B.

Answer:

by inscribed angle rule do it.

Step-by-step explanation:

hope this help

Answer:

70°

Step-by-step explanation:

∠ADC is a inscribed angle. ∠ABC is a central angle. The inscribed angle's measurement will be 1/2 of the measurement of the central angle.

In this case, the inscribed angle ∠ADC is given to you with a measurement of 35°. To solve for ∠ABC, multiply 2 to the given value:

35 x 2 = 70

70° is your answer.

~

Answer:

top=170mm squared

shape 2=76.27 cm squared

shape 3=62.862 cm squared

Step-by-step explanation:

top shape...

(18x15)-4(5x5)=area

270-4(25)=area

270-100=area

170=area

shape 2...

diameter of circle is 6 so radius is 3...

area=pier^2

a=28.27 and their are two half circles so that makes one whole circle

(8x6)+28.27=76.27 cm squared

shape 3...

total of rectangle with a half circle subtracted.  r=4 d=8

so

11x8=88 for rectangle then subtract half circle

a=pie r^2

a=50.27

50.27/2=25.135 subtract this from rectangle total...

88-25.135=62.862 cm squared

9514 1404 393

Answer:

  d.  40

Step-by-step explanation:

Consider the square ...

  (px +q)² = (px)² +2(px)(q) +q² = p²x² +2pqx +q²

Comparing this to your expression, you see ...

  16 = p²   ⇒   p = ±4

  25 = q²   ⇒   q = ±5

  -b = 2pq = 2(±4)(±5) = ±40

The expression is a perfect square trinomial when b = 40.

_____

Additional comment

When the linear term has a negative coefficient, we know the signs of the binomial terms are different. We conventionally write the square with the constant term in the binomial being negative:

  16x² -40x +25 = (4x -5)²

Answer:

1895

Step-by-step explanation:

Answer:

18N

Step-by-step explanation:

According to Newtons second law

F ∝ a

F =  ka

k is the constant of proportionality

When a force of 8 N acts on a certain object, the acceleration of the object is 4 m/s2, hence;

8 = 4k

k = 8/4

k = 2

If a = 9m/s², F = ?

Recall F = ka

F = 2 * 9

F = 18N

Hence the force will be 18N

Answer:

200

Step-by-step explanation:

Length*Width*Hight= 4*10*5=200

hope this helps

Answer:  I am pretty sure it is 200

Step-by-step explanation:

I may be wrong sorry if it is have a good day :)

Answer:

404 adult tickets were sold, and 250 child tickets.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that

x is the number of adult tickets sold.

y is the number of child tickets sold.

654 tickets were sold.

This means that

[tex]x + y = 654[/tex]

[tex]y = 654 - x[/tex]

Admission prices at a football game were $5 for adults and $ 2 for children. The total value of the tickets sold was $2520.

This means that

[tex]5x + 2y = 2520[/tex]

Since [tex]y = 654 - x[/tex]

[tex]5x + 2(654 - x) = 2520[/tex]

[tex]5x + 1308 - 2x = 2520[/tex]

[tex]3x = 1212[/tex]

[tex]x = \frac{1212}{3}[/tex]

[tex]x = 404[/tex]

[tex]y = 654 - x = 654 - 404 = 250[/tex]

404 adult tickets were sold, and 250 child tickets.

Answer:

6/12, 4/8

Step-by-step explanation:

Step-by-step explanation:

Hi,

You will have to move the pre-image 15 units to the right. You're also going to have to flip the image horizontally (kind of like flipping it across the x-axis) and after that, you're going to have to flip it so that it's facing the left side.

1) 15 units right

2) Flip-up

3) Flip to the left

Hope this helps :)

Answer:

37.5

Step-by-step explanation:

16/46 = 20/(20+x)

or, 16(20+x) = 46×20

or, 320 + 16x = 920

or, 16x = 600

or, x = 600/16

x = 37.5

Answer:

Fraction : 3/9

Decimal : 0.33333333 (the .3 continues)

Percent : 33.33333%

Step-by-step explanation:

Dividing 3 by 9 will give you a continous set of 3.

Answer:

Step-by-step explanation:

The sequence you gave is not arithmetic.  I'm assuming the sequence is

21, 6, -9, -24.

d is the common difference between adjacent terms.

a₂ = a₁ + d

6 = 21 + d

d = -15

nth term = a₁ + (n-1)d = 21 - (n-1)15

pyramid A: 16 + [tex]8\sqrt{5[/tex]

pyramid B: 400 + [tex]8\sqrt{125[/tex]

pyramid A: 4 by 4= 16 cm.

with a height of 1 and length of 2, we use pythagorean theorem to find height of other surfaces to be square root of 5. area of triangle is 1/2 bh

square root of 5 multiplied by 4 and divided by 2 is 2 root 5

multiply this by 4 sides total for 8 root 5

Add the 8 root 5 to 16

To find pyramid B: use ratio of 25:1 and multiply 16 by 25 to find 400, and root 5 to 125

Step-by-step explanation:

Number of pork chops Mrs Spina bought =

Number of boxes x number of pork chops per box

= 4x8

= 32

Number of Pork chops to freeze = 32 - 12 (set aside) = 20

Number of packs of pork chops to freeze = Number of pork chops to freeze / pork chops per pack

= 20/4

= 5 packs.

Answer:

200

Step-by-step explanation:

Volume of juice

[tex] = 3.5 \times 6 \times 9 \\ = 189 \\ \approx \: 200 \: {cm}^{3} [/tex]

D. None of the above

the correct answer is 7,460 as some non native english is the correct answer to the question

Answer:

56.6 yd

Step-by-step explanation:

in the picture above

pls mark as brainliest