9. The regular admission price at a museum is
$4.50 per adult and $2.75 per child. This week,
there is a special offer that allows 1 child to get
in for half price with each paying adult. How
much would the total admission price be for
3 children and 2 adults?

Solution:

[tex]\searrow[/tex]

Detailed explanation:

Here we need to find both the circumference and the area of a circle whose diameter is 30 in.

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                                   ⚜  Circumference ⚜

This is the formula that we use for the circumference. [tex]\large\texttt{$C=\pi d$}[/tex].

Here, C is the circumference,

[tex]\pi[/tex] is pi, *

d is the diameter

_____________

* The number pi is an irrational number. This means that no matter how hard we try, we cannot write this number as a fraction. The reason for that is: The number pi has never-ending digits after its decimal point.

To avoid getting never-ending numbers, we will use 3.14 for pi.

_____________

Alright, so now we just stick in the values.

[tex]\boldsymbol{C=3.14\cdot30}[/tex]

[tex]\boldsymbol{C=94.2\:inches}[/tex]

The circumference is successfully calculated.

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                                            ⚜ Area ⚜

This is the formula we will use to work out the area.

[tex]---\mapsto\boldsymbol{A=\pi r^2}[/tex]

Here,

A denotes the area

[tex]\pi[/tex] denotes pi

r denotes the radius (30/2=15, because the diameter is always two times the radius)

[tex]\large\boldsymbol{\therefore,\;the\;radius\;is\;15}[/tex]

Once again, it's just a matter of sticking in the values.

[tex]---\mapsto\boldsymbol{A=3.14\cdot15^2}[/tex]

Remember the Order of Operations!

P.E.M.D.A.S.

P=Parentheses

This operation tells us to evaluate all expressions in the parentheses first, if any are present.

E=Exponents

This one tells us to evaluate all expressions with exponents, if any are present.

M=Multiplication | D=Division

Unlike the two operations above, these two are completely interchangeable.

A=Addition | S=Subtraction

Like M and D, A and S are interchangeable.

_________________

Now let's simplify... According to P.E.M.D.A.S., we should square 15 first.

[tex]---\mapsto\boldsymbol{A=3.14\cdot225}[/tex]

Now, we need to multiply.

[tex]---\mapsto\boldsymbol{A=706.5\;square\;inches}[/tex]

Answer:

Step-by-step explanation:

Answer:

+1560

Step-by-step explanation:

Since the corporation produced 1560 more cars then the answer is simply +1560.

Answer:

I believe d would be the answer.

Step-by-step explanation:

Answer:

Answer: 0.628 radian

Step-by-step explanation:

how to convert from degrees to radians?

Answer:To convert the value of the angle in degree, to its equivalent radians, we need to multiply the given value with π/180. For example, the value of 180 degrees is π in radians.

Answer:

See below

Step-by-step explanation:

- 36  *  PI / 180 = -pi/5 radians  = -  .6283 R

Answer:

51

Step-by-step explanation:

let's set the starting number as x

1. x times 2 = 2x

2. 2x- 138

3. result = 102

So, 2x-138 = 102

Now lets work backwards to solve for x.

1. 2x = 102

x = 51

So the starting number was 51.

Answer:

the answer is L

Step-by-step explanation:

rounding up to any number/decimal requires the digit before the specified digit to be 5 or greater.
rounding down requires the digit to be 4 or less.
if the estimated time to the nearest 0.01 of a second is 35.20 then the actual race time could be from 35.195 to 35.205 since any number between could be rounded to 35.20

Answer:

[tex](5+3\sqrt{2} )^{2} =43+30\sqrt{2}[/tex]  

≈85.43

Step-by-step explanation:

apply the binomial theorem to the square

[tex]=(5)^{2} +2(5)(3\sqrt{2} )+(3\sqrt{2} )^{2}[/tex]

[tex]=25+30\sqrt{2} +18\\[/tex]

[tex]=43+30\sqrt{2}[/tex]

≈85.43

Hope this helps

Hello!

Here, we apply the algebraic identity :

[tex]\boxed {(a + b)^{2} = a^{2} + 2ab + b^{2}}[/tex]

Let's solve!

⇒ (5 + 3√2)²

⇒ (5)² + 2(5)(3√2) + (3√2)²

⇒ 25 + 30√2 + 18

⇒ [tex]\boxed {43 + 30\sqrt{2}}[/tex]

∴ The final answer will be 43 + 30√2.

Answer:

115.38 is what I got when I tryed to work it out

The entry that it will pass on the accounting book based on the information about Galaxy Star Corporation is the credit sales.

It should be noted that credit sales are the sales where the amount that is owed will be paid at alter date.

From the information given, we were informed that the payment will be made after 20 days. Therefore, the appropriate entry will be in town credit sales.

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Answer: B

Step-by-step explanation:

Edge 2023

The value of the probability P(decaf or sugar) is 0.41

From the table, we have:

P(decaf) = 0.05 + 0.08 + 0.09 = 0.22

P(sugar) = 0.19 + 0.08 = 0.27

P(decaf and sugar) = 0.08

The required probability is:

P = P(decaf) + P(sugar) - P(decaf and sugar)

This gives

P = 0.22 + 0.27 - 0.08

Evaluate

P = 0.41

Hence, the value of the probability P(decaf or sugar) is 0.41

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Answer:

ffhjjrhjzxuzdjzdjzsjezjdifi

Answer:

19.51 units = x

Step-by-step explanation:

Here is one way :

Height = 18 cos 47 = 12.276

then     cos 51 = 12.276 /  x

                 x = 12.276 / cos 51 = 19.51

Answer: 0.5m

Hope this helps!

The number is even or less than 12. Then the correct option is C.

The complete question is given below.

A number is selected at random from the set {2, 3, 4, … 10}. Which event, by definition, covers the entire sample space of this experiment?

a. The number is greater than 2.

b. The number is not divisible by 5.

c. The number is even or less than 12.

d. The number is neither prime nor composite.

e. The square root of the number is less than 3.

A set is a group of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

A number is selected at random from the set {2, 3, 4, … 10}.

2, 4, 6, 8, 10 are even, but the rest are odd (BUT note the word “or”). The rest are less than 12. YES

Then the correct option is C.

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Answer:

48π

Step-by-step explanation:

→ State the formula for the surface area of a a cylinder

2π × r × h + 2π × r²

→ Substitute in the numbers

2π × 3 × 5 + 2π × 3²

→ Simplify

48π

==========================================================

Explanation:

We have two concentric circles. Think of a bulls-eye on a dart board. The inner circle is the garden itself. The outer circle is the garden plus the surrounding pathway. What we're interested in is the area of the outer ring, which is the area of the garden path only.

To find this ring area, we'll need to find the area of each circle.

A = area of the smaller circle

A = pi*r^2

A = pi*12^2

A = 144pi

Notice how I took half of the 24 yard diameter to get the radius of 12 yards.

B = area of the larger circle

B = pi*r^2

B = pi*15^2

B = 225pi

Subtract the two results

C = area of the outer ring, aka the garden path only

C = B - A

C = 225pi - 144pi

C = (225-144)pi

C = 81pi

We're told to use 3.14 in place of pi

C = 81*pi

C = 81*3.14

C = 254.34

The garden path has an area of roughly 254.34 square yards.

1 bag of sand covers 8 square yards.

So we'll need (254.34)/(8) = 31.7925 = 32 bags of sand

The answer for f.f (x) = 25 / 4x² and g.g(x)= 4x² -28x +49.

A function is a mathematical statement used to relate a dependent and an independent variable.

It is given that

f(x) = 5/2x

g(x) = 2x - 7

It is asked to found

f.f

g.g

f.f (x) = (5/2x) * (5/2x)

= 25 / 4x²

g.g(x)= ( 2x - 7)( 2x - 7)

= 4x² -28x +49

Both the answers are in its simplified form

Therefore the answer for f.f (x) = 25 / 4x² and g.g(x)= 4x² -28x +49.

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Answer:

69 there hope it helps ;)

Step-by-step explanation:

420

Answer:

Damien is 74 years old now

Step-by-step explanation:

Define the variables:

Given information:

From the given information, create 2 equations:

Equation 1:  d + k = 100

Equation 2:  d - 10 = 4(k - 10)

Rewrite Equation 1 to make k the subject:

⇒ k = 100 - d

Substitute this into Equation 2 and solve for d:

⇒ d - 10 = 4(100 - d - 10)

⇒ d - 10 = 400 - 4d - 40

⇒ d - 10 = 360 - 4d

⇒ d - 10 + 10 = 360 - 4d + 10

⇒ d = 370 - 4d

⇒ d + 4d = 370 - 4d + 4d

⇒ 5d = 370

⇒ 5d ÷ 5 = 370 ÷ 5

⇒ d = 74

Therefore, Damien is 74 years old now.

The multiplication is 120*[tex]a^{3/2}[/tex].

Power defines a base number raised to the exponent, where base number is the factor which is multiplied by itself and exponent denotes the number of times the same base number is multiplied.

Given:

3√(5a) * 8 √(35a²)

= 3√(5a)* 8* a *√7* √5

= 3*8*5*a *√(7a)

= 120 [tex]a^{1/2+1}[/tex]

=120*[tex]a^{3/2}[/tex]

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Answer:

[tex]120a\sqrt{7a}[/tex]

Step-by-step explanation:

It's right on khan academy

Answer:

x=1

Step-by-step explanation:

(2(x+4))/5=2

Multiply both sides by 5

2(x+4)=10

Divide both sides by 2

x+4=5

subtract 4 from both sides

x=1

Answer: [tex]\sqrt{7}[/tex]

Step-by-step explanation:

Using the Pythagorean theorem,

[tex]3^2 + b^2 = 4^2\\\\9+b^2 = 16\\\\b^2 = 7\\\\b=\boxed{\sqrt{7}}[/tex]

Answer:

The commutative property of addition says that changing the order of addends does not change the sum.

(a+b)+c = a+ (b+c)

( -8 + -7) + 6 = -8 + ( -7 + 6)

-15 + 6          =   -8 + -1

-9                  =  -9

Answer:

Hence, proved (a+b) + c = a + (b+c)."

Step-by-step explanation:

first take left hand side and insert the values of a, b, and c and similarly than take right hand side.

L.H.S

(a+b)+c

(-8+(-7))+6

(-8-7)+6

-15+6

-9

R.H.S

a+(b+c)

-8+(-7+6)

-8+(-1)

-8-1

-9

hence, proved (a+b) + c = a + (b+c)."

Answer: 5

Step-by-step explanation:

If [tex]\triangle LMN \cong \triangle FGH[/tex], this means that [tex]\overline{LM} \cong \overline{FG}[/tex] by CPCTC.

Using the distance formula,

[tex]FG=\sqrt{(-3-0)^{2}+(-4-0)^{2}}=5\\\\\therefore LM=\boxed{5}[/tex]

Answer:

the answer above the image

Answer:

a=-4/3, 14/3

Step-by-step explanation:

absolute value only makes the answer become positive whether the value inside is negative or positive.
so -3a+5=9 or -3a+5=-9 all works

-3a+5=9

-3a=4

a=-4/3

If -3a+5=-9

-3a=-14

a=14/3

The function represents the weekly weed growth f(x) = 86(1.01)^7x; They grow at approximately the rate of 1% per day.

The function is a type of relation, or rule, that maps one input to specific single output.

The following function represents the weekly weed growth:

f(x) = 86(1.08)x.

we'll represent the growth function by day g(x). If x is to represent days, then x/7 represents weeks.

We can write,

 g(x) = f(x/7) = 86·1.08^(x/7)

 g(x) = 86·(1.08^(1/7))^x

 g(x) = 86·1.011055^x

The function represents the weekly weed growth f(x) = 86(1.01)^7x; They grow at approximately the rate of 1% per day.

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∠1 and ∠2 are congruent because they are a pair of alternate interior angles , Option C is the right answer.

When two lines do not meet at any point and the distance between them remains constant , then the two lines are called parallel to each other .

It is given that the parallel lines are cut by a transversal and the angles are marked

The angle 1 and angle 2 are congruent because they are pair of alternate interior angles .

Therefore Option C is the right answer.

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