Mr and Mrs Smith buy tickets for themselves and 4 children
The cost of an adult ticket is £6 more than the child ticket
The total cost of the 6 tickets are £40.50
What is the cost of an adult ticket?

Answer:

x = 17

Step-by-step explanation:

∠ DCE = ∠ ACE ( vertically opposite angles )

The sum of the 3 angles in a triangle = 180° , then

∠ DCE = 180° - (100 +x) = 180 - 100 - x = 80 - x

∠ ACE = 180 - (49 + 4x) = 180 - 49 - 4x = 131 - 4x

Equating the 2 angles

80 - x = 131 - 4x ( add 4x to both sides )

80 + 3x = 131 ( subtract 80 from both sides )

3x = 51 ( divide both sides by 3 )

x = 17

Answer

116.4k+ views

Hint: We will write the first ten odd natural numbers and then add them to find their sum. We will then substitute the values in the formula of arithmetic mean , a1+a2...+ann, where n is the number of terms and a1,a2,..an are n observations.

Complete step-by-step answer:

We have to find the arithmetic mean of first ten odd natural numbers .

Natural numbers are counting numbers and starts from 1.

Odd numbers are not multiples of 2.

The first ten odd natural numbers are 1,3,5,7,9,11,13,15,17,19.

Arithmetic mean is calculated by adding all the observations by the total number of observations.

Arithmetic mean is given by a1+a2...+ann, where n is the number of terms and a1,a2,..an are n observations.

Therefore, we will calculate the sum of the first ten odd natural numbers.

⇒1+3+5+7+9+11+13+15+17+19⇒100

Now, we will divide this by 10 as there are a total 10 numbers.

10010=10

Hence, the arithmetic mean of first ten odd natural numbers is 10.

Note: Arithmetic mean is also known as average or simply mean. Odd numbers are not divisible by 2. The sum of n odd natural numbers is also given by n2

Answer:

y=4

Step-by-step explanation:

84=30y-9y, first you collect like terms.

84=21y, swap the sides

21y=84, devide both sides and you get y =4

Answer:

It is 0.6 miles

Step-by-step explanation:

Answer:

[tex]6.56\times10^{-7}[/tex]

Step-by-step explanation:

[tex]1nm[/tex] is equal to [tex]1\times 10^{-9}m[/tex] so you have the next relation

[tex]\frac{1nm}{1\times 10^{-9}m} = \frac{656nm}{x}[/tex]

Then isolating [tex]x[/tex] you have

[tex]x = \frac{6.56\times 10^{2}nm \cdot 1\times 10^{-9}m}{1nm} = 6.56\times 10^{-7}m[/tex]

Answer:

You can use the exponential rule where

[tex](n^x)^y=n^{xy}[/tex]

Therefore,

[tex](a^3)^{-2}=a^{3*(-2)}=a^{-6}[/tex]

[tex]\\ \rm\leadsto (a^3)^{-2}[/tex]

[tex]\\ \rm\leadsto a^{-6}[/tex]

[tex]\\ \rm\leadsto \dfrac{1}{a^6}[/tex]

Answer:

6$

Step-by-step explanation:

2+4=6

20%+40%=60%

The new price after the increase is $2.8 .

Percentage increase is the difference between the final value and the initial value, expressed in the form of a percentage. In other words, it is the difference between the final value and the initial value which is divided by the initial value and then multiplied by 100.

According to the question

The price of chocolate bar = $2

The price of a particular chocolate bar is increased by 40%,

i.e

The percent increase in the price of chocolate bar = 40%

Now,

increase prize :

= [tex]2*\frac{40}{100}[/tex]

= $0.8  

The new price after the increase

= $2.8

Hence, the new price after the increase is $2.8 .

To know more about  percent increase here:

https://brainly.com/question/13533684

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Answer:

For the question a i think its b

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

-5(-12)+(-15)

--> Multiply -5 and -12 to get 60

60-15

--> Subtract 15 from 60 to get 45

Hope this helps you!

Answer:

x=23

Step-by-step explanation:

3x+4x+19=180 is the equation you would set up because the two angles added up would be 180 degrees.

:))

Answer:

7 Seconds

Step-by-step explanation:

This is kinematics

Vf=Vi+at

t=[tex]\frac{Vf-Vi}{a}[/tex]

t=[tex]\frac{62-13}{7}[/tex]

t=[tex]\frac{49}{7} =7[/tex]

Answer:

[tex]2.\bar{81}mm[/tex]

Step-by-step explanation:

First the formula for find the are of a trapezoid is:

[tex]A = \frac{h(a+b)}{2}[/tex]

Where [tex]a[/tex] is the top, [tex]h[/tex] the height and [tex]b[/tex] the base measures.

Then we need to know what is the base ([tex]b[/tex]), for that isolate [tex]b[/tex] from the equation

[tex]2A = h(a+b)\\\frac{2A}{h} = a+b\\\frac{2A}{h} - a = b[/tex]

Then in the new equation replace the given values:

[tex]A = 65mm^2\\a = 9mm\\h = 11mm[/tex]

[tex]\frac{2 \cdot 65mm^2}{11mm} -9mm = b\\\frac{130mm^2}{11mm} -9mm = b\\11.\bar{81}mm -9mm = b\\2.\bar{81}mm = b[/tex]

So the final answer is [tex]2.\bar{81}mm[/tex]

Answer:

12

Step-by-step explanation:

There is a right angle formed, hence this triangle is a right-angled triangle.

Using Pythagoras Theorem,

[tex]a^2+b^2=c^2[/tex]

[tex]16^2+b^2=20^2[/tex]

[tex]256+b^2=400[/tex]

[tex]b^2=400-256=144[/tex]

[tex]b=12[/tex]

The missing length is 12

Answer:

g(x)o(x) = -6x²-4x+16

Answer:

4(7+6)

Step-by-step explanation:

first find GCF

prime factorize

28= 2*2*7 24=2*2*2*3

only common factor is 2

there are at least 2 2s in each

apply

4(7+6)

Answer:

x≤5/3

So any number at 5/3 or above is a solution

Step-by-step explanation:

Subtract 4 on both sides:

5≤3x

Divide 3 on both sides

x≤5/3

So any number at 5/3 or above is a solution

Hope this helps!

Answer:

Quotient is basically division.

Step-by-step explanation:

1329/4 is basically

332.25 is the answer

Answer:

3.1

Step-by-step explanation:

Answer:

$40,516.86

Step-by-step explanation:

start by taking 35,000 and multiplying it by 0.05 to get 5% of the number. then add that number (1,750) to the original 35,000 and you should get 36,750. this would be the first year. Then multiply 36,750 by 0.05 again and add that number (1837.5) to the original 36,750 and you should get 38,587.5. Finally multiply that by 0.05 and add that number (1,929.375) to the original 38,587.5 and you should get 40516.875. Round to the hundredths since it is money.

Answer:

  a) interior angle: 156°

  b) exterior angle: 24°

Step-by-step explanation:

The sum of the exterior angles of a convex polygon is 360°. Then the exterior angle of a regular 15-gon will be ...

  360°/15 = 24°

__

The interior angle of a convex polygon is the supplement of the exterior angle at that vertex. For an exterior angle of 24°, a regular 15-gon will have an interior angle of ...

  180° -24° = 156°

_____

Additional comment

We find it easier to work this problem by finding the exterior angle first. Note that the results only apply to a 15-gon in which all interior angles are congruent.

Answer:

X = 73, Y = 138

Step-by-step explanation:

Answer:

Step-by-step explanation:

y - 4 = -2(x - 6)          It might be easier to do if we removed the brackets and collect like terms.

y - 4 = -2x + 12          Add 4 to both sides

y = - 2x + 4 + 12        Combine

y = - 2x + 16

It's not one because -6*-2 + 16 = 28 for y.

It's B

y = -2 * 6 + 16

y = - 12 + 16

y = 4

(6,4) is the answer.

c: doesn't appear to be right. Any minus sign is going to make the number in front of x  + which only adds to 16 making bigger.

d: -2*4 + 16 = - 8 + 16 = 8 which is incorrect. The answer should by 6 not 8

Answer:

The answer is A (-2)^3 * 6^3

Answer:

ui100

Step-by-step explanation:

125

The temperature of a pan of water on the stove after 5 minutes would be 40°C.

Temperature is the measure of the degree of hotness and coldness which is expressed in different scales.

The temperature of a pan of water increases steadily from 22°C to 100°C at a rate of 8°C per minute.

We need to find the temperature after 5 minutes.

Rate of temperature per minute = 8°C

Rate of temperature after 5 minutes = 8°C × 5

                                                            = 40°C

Therefore, the temperature after 5 minutes would be 40°C.

Learn more about temperature;

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Answer:

7. The area should be 32. Multiply 5 by 4 to get 20. Find the missing length to multiply by 3, which is 4, and multiply. 3 * 4 = 12. Add 20 + 12 and get 32 cm.

8. The area should be 70. You did pretty well, but when finding the area of a triangle, divide the product by 2, or multiply by 0.5. 5 * 8 = 40/2 or 40 * 0.5 which both equal 20. 50, plus the area of the triangle, 20, will get you 70.

Answer:

letter D

Step-by-step explanation:

it's my guess I think it's correct

Answer:

m = 8

Step-by-step explanation:

2m + m = 24 ( collect like terms on left side )

3m = 24 ( divide both sides by 3 )

m = 8

Answer:

m = 8

Step-by-step explanation:

2m + m = 24

3m = 24

(3m)/3 = (24/3)

m = 8

Check:

2*8 + 8 = 24

16 + 8 = 24