A side of the triangle below has been extended to form an exterior angle of 118°. Find the value of x.

Answer:

Section A = 27,500 seats

Section B = 14,800 seats

Section C = 12,700 seats

Step-by-step explanation:

Section A = $42

Section B = $24

Section C = $18

Revenue = $1,738,800

Total number of seats = 55,000

The number of seats in Section A equals the total number of seats in Sections B and C

A = B + C

A + B + C = 55,000

42A + 24B + 18C = $1,738,800

Substitute A = B + C into the equations

B + C + B + C = 55,000

42(B + C) + 24B + 18C = $1,738,800

2B + 2C = 55,000

42B + 42C + 24B + 18C = 1,738,800

2B + 2C = 55,000

66B + 60C = 1,738,800

Multiply (1) by 30

60B + 60C = 1,650,000. (1)

66B + 60C = 1,738,800. (2)

Subtract (1) from (2)

66B - 60B = 1,738,800 - 1,650,000

6B = 88,800

B = 88,800/6

= 14,800

B = 14,800

Substitute the value of B into

2B + 2C = 55,000

2(14,800) + 2C = 55,000

29,600 + 2C = 55,000

2C = 55,000 - 29,600

2C = 25,400

C = 25,400/2

= 12,700

C = 12,700

Substitute the values of B and 6 into

A + B + C = 55,000

A + 14,800 + 12,700 = 55,000

A + 27,500 = 55,000

A = 55,000 - 27,500

= 27,500

A = 27,500

Section A = 27,500 seats

Section B = 14,800 seats

Section C = 12,700 seats

Answer:

Section A has 27,500 seats

Section B has 14,800‬ seats

Section C has 12,700‬ seats

Step-by-step explanation:

To solve this, we will have equations:

let x = seats at section A

  y= seats at section B

 Z = seats at section C

we will get the following equation:

So from the question, x = y + z ..........(1)

                     x + y + z = 55,000 .........(2)

                  42x + 24y + 18z = 1,738,800 .... (3)

input equation (1) into (2)

 y + z + y + z = 55,000

2y + 2z = 55,000...... (4)

so for exuation (3), input equation (1) into (3):

42x + 24y + 18z = 1,738,800

42(y + z) + 24y + 18z = 1,738,800

42y + 42z + 24y + 18z = 1,738,800

collect like terms:

66y + 60z = 1,738,800 ..... (5)

multiply equation (4) by -30. -30 is chosen to remove z from the equation so we could get what y is

-60y - 60z = - 1,650,000‬ ...... (6)

add equation (5) and (6)

6y + 0 = 88,800‬

y = 14,800‬ seats

Input the value of y into equation (4) to find z

2y + 2z = 55,000

2(14,800) + 2z = 55,000

29,600 + 2z = 55,000

2z = 25,400‬

z = 12,700‬ seats

To find the number of seats in section A we use equation (2)

x + y + z = 55,000

x +14,800 + 12,700 = 55,000

x + 27,500 = 55,000

x = 27,500 seats

To verify our answer to see if the number of seats in Section A equals the total number of seats in Sections B and C.

total number of seats in Sections B and C = 14,800 + 12,700 = 27,500

so number of seats in section A = B + C

Answer:

answer is 5 minutes

Step-by-step explanation:

Answer:

175

Step-by-step explanation:

x / 7

100 (the mean goal)

100 + 65 + 120 + 150 + 90 + 0 + y = 700

100 + 65 + 120 + 150 + 90 + 0 + 175 = 700

700 / 7

100

Answer:

i think 3:4 dont take my word for it thoughn

Step-by-step explanation:

Answer:

D = (3.5,1)

Step-by-step explanation:

(-2.5,5) is given

you must do (x+6,y-4)

x y

(-2.5,5)

-2.5+6=3.5

x=3.5

5-4=1

y=1

(3.5,1)

Answer:

(3.5, 1)

Step-by-step explanation:

edg 2021

Answer:

Well from all the exams and assignments I've had, 100 points is the full grade so losing 100 points would mean you would fail with a 0

Answer:

Step-by-step explanation:

Free points ig

The solution is : the quotient 6 1/2 divided by 3 2/3 is 1 17/22.

Here, we have,

given that,

6 1/2 divided by 3 2/3

Given the following mathematical expression;

6 1/2 /  3 2/3

We would apply the law of indices for fractions.

6 1/2 /  3 2/3

= 13/2 / 11/3

=13*3/ 2*11

=39/22

=1 17/22

Hence, The solution is : the quotient 6 1/2 divided by 3 2/3 is 1 17/22.

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Answer:

26.25 bottles

Step-by-step explanation:

A flower garden in the form of trapezoid is shown. The length of longer base is labeled 18 feet, shorter base is 15 feet, height is 4 feet, and one leg is 5 feet.

Formula for perimeter of a trapezoid = Side a + side b + length a + length b

For the trapezium shown, its perimeter step 1,

we have to find the missing length

Length a

We are given height = 4 feet

Length of the longer base = 18 feet

Length of the shorter base = 15 feet

Different would give us the base of the right angle triangle

= 18 - 15 = 3 feet

Using Pythagoras Theorem we can find the side a = c

a² + b² = c²

3² + 4² = c²

9 + 16 = c²

c = √25

c = 5 feet

Hence side a = 5 feet

Perimeter of the Trapezoid shown =

18 feet + 15 feet + 5 feet + 5 feet

= 38 feet.

From the question,

You need two bottles of fertilizer to treat the flower garden shown. How many bottles do you need to treat a similar garden with a perimeter of 105 feet

Hence:

38 feet = 2 bottles

105 feet = x bottles

Cross y

= 38 × x = 105 × 2

= 38x = 105 × 2

x = 105 × 2/38

x = 26.25 bottles

26.25 bottles of fertilizer is needed to treat the garden with a perimeter of 105

Answer:

2:6

Simplest= 1:3

Answer:

B

Step-by-step explanation:

The graph for y= √x+1 is shown below.

The square root function f(x)=√x has domain [0,∞) with range  [0,∞).

Similarly the given function is y=f(x)= √x+1

From the graph, it is clear that the function is valid for x≥0 because x<0 √x will be imaginary.

So the domain of the function f(x)= √x+1 will be [0,∞).

As we know,

√x ≥0

⇒ √x+1≥0+1

⇒√x+1 ≥ 1

⇒f(x) ≥ 1

the function f(x) has range [1,∞).

f(x)=√x+1 ha y intercept at x=0

f(0)= √0+1=1

f(x) has y intercept at (0,1).

Function F(x) will increase from point (0,1).

Therefore The graph for y= √x+1 is shown below.

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Answer:

44

Step-by-step explanation:

5*2=10-50=40+4=44

Answer:

The solution is x = 2 and x = 4

Step-by-step explanation:

Let us revise some rules in logarithmic function:

Let us solve the question

∵ [tex]log_{2}(x)+log_{2}(6-x)=3[/tex]

→ By using the first rule above

∴ [tex]log_{2}(x)(6-x)=3[/tex]

→ Multiply x by (6 - x)

∵ x(6 - x) = x(6) - x(x) = 6x - x²

∴ [tex]log_{2}(6x-x^{2})=3[/tex]

→ Change the logarithmic function to exponential function using

   the second rule above

∴ [tex]2^{3}=(6x-x^{2})[/tex]

∵ 2³ = 8

∴ 8 = 6x - x²

→ Add x² to both sides

∴ x² + 8 = 6x

→ Subtract 6x from both sides

∴ x² - 6x + 8 = 0

→ Factorize it into 2 brackets

∴ (x - 2)(x - 4) = 0

→ Equate each factor by 0 to find the values of x

∵ x - 2 = 0

→ Add 2 to both sides

∴ x = 2

∵ x - 4 = 0

→ Add 4 to both sides

∴ x = 4

∴ The values of x are 2 and 4

∴ The solution of the equation is x = 2 and x = 4

Answer: 5

Step-by-step explanation:

The question is asking how many tenths are in one half. You need to divide one half by one tenth. To divide fractions you need to invert and multiply.

1/2 ÷ 1/10

Step 1: Invert and multiply

1/2 × 10/1 = 10/2

Step 2: Simplify

10/2 = 5

Answer:

y=3x^2+12x+13

a=3

b=12

c=13

Step-by-step explanation:

Answer:

Regular price guests = 3300

Discount price guests = 1100

Step-by-step explanation:

Breakeven point is the point where total revenue and total cost are equal.

Now, we know total cost is $66,000 per month.

Now, we are told that the museum sells 75% of its tickets for the regular price of $14.

If the total number of tickets is x. It means the number of regular tickets guests is 75%x = 0.75x

We are told that variable cost per guest in each group is $2. This means that total revenue from regular tickets guest is;

14(0.75x) + 2(0.75x) = 12x

Now, the remaining tickets are discount tickets sold for $10.

It means number of discount tickets guests = 0.25x

Total revenue from discount tickets =

10(0.25x) + 2(0.25x) = 3x

Thus, at break even point, we have;

12x + 3x = 66000

15x = 66000

x = 66000/15

x = 4400

Thus;

Regular price guests = 0.75 × 4400 = 3300

Discount price guests = 0.25 × 4400 = 1100

Answer:

Segment bisector: JK

MN = 52

since the 26 is right on a little line, tick mark or wtv, im no sure if MN= 78 or 52 but i'd just put 52. Sorry if im

wrongStep-by-step explanation:

Segment bisector is the line in half

The segment bisector of MN is JK and the measure of MN is 52.

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

The only bisector of MN is JK and it is at the midpoint of the line segment MN so it will be a bisector.

Now,

Since JK is the bisector of MN

M(JK) = (JK)N

26 = (JK)N

So,

MN = 2(26) = 52

Hence "The segment bisector of MN is JK and the measure of MN is 52".

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Is that 2m=43 or m^2=43??

If 2m=43 then...

m=43/2

m=21.5

If m^2=43 then...

m=√43

Answer:m=21.5

Step-by-step explanation:

Answer:

machine language

Step-by-step explanation:

The computers in this generation used machine code as the programming language.

The machine language also referred to as the native language of the computer system is the first generation programming language. In the machine language, a programmer only deals with a binary number. They are translation free and can be directly executed by the computers.

Answer: 77/12

Step-by-step explanation:

1) 11/12 * 7 = (11*7)/12 = 77/12

Answer:

yes

Step-by-step explanation:

we start by opening the brackets so it will be -25 plus 15 v is equals to 115. negative times a negative is a positive so -5 times -3 we we have gotten positive 15v there I hope you understood so our new equation is -25 + 15v is equals to 115 collect the like terms 15v is equals to 115 + 25 15 v is equals to 140 divide both sides by 15 so v is equals to 9 and 1/3

Problem 1

---------------------------------

Explanation:

The notation (f o g)(x) means f( g(x) ). Here g(x) is the inner function.

So,

f(x) = x+1

f( g(x) ) = g(x) + 1 .... replace every x with g(x)

f( g(x) ) = 6x+1 ... plug in g(x) = 6x

(f o g)(x) = 6x+1

Now let's flip things around

g(x) = 6x

g( f(x) ) = 6*( f(x) ) .... replace every x with f(x)

g( f(x) ) = 6(x+1) .... plug in f(x) = x+1

g( f(x) ) = 6x+6

(g o f)(x) = 6x+6

This shows that (f o g)(x) = (g o f)(x)  is a false equation for the given f(x) and g(x) functions.

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

Problem 2

---------------------------------

Explanation:

Let's say that g(x) produced a number that wasn't in the domain of f(x). This would mean that f( g(x) ) would be undefined.

For example, let

f(x) = 1/(x+2)

g(x) = -2

The g(x) function will always produce the output -2 regardless of what the input x is. Feeding that -2 output into f(x) leads to 1/(x+2) = 1/(-2+2) = 1/0 which is undefined.

So it's important that the outputs of g(x) line up with the domain of f(x). Outputs of g(x) must be valid inputs of f(x).

The given statement is false.

Composite function is a combination of two or more than two functions combined by mathematical operation of addition,subtraction,multiplication and division.Where output of one function is input to the other function.

According to the given question two functions are given f(x) and g(x) and and we have to compose in different order and see if they are same or not.

Given, f(x) = x + 1 and g(x) = 6x

So, (fog)(x) is, output of g(x) is the input of f(x) which is

f(6x) = (6x) + 1

f(6x) = 6x + 1.

Now, (gof)(x) is, output of f(x) is now input of g(x) which is

g(x+1) = 6(x+1)

g(x+1) = 6x + 6.

Thus we can see fog(x) ≠ gof(x).

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Answer: The answer is 5 1/2

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST!

5 × -92 =

Just a quick response on how to solve this, thanks a ton!

Answer:

-460

Answer: -460

Step-by-step explanation:

[tex] {x}^{2} - 6x - 7 = (x - 7)(x + 1) \\ [/tex]

[tex]width = (x - 7)[/tex]

So

[tex]length = (x + 1)[/tex]

Just it...

So we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

Find the difference between the two, divide by the years, and should get the percent of change

Step-by-step explanation:

The change in percentage is 69.89%.

Given that, a gym's membership in 2012 was $9,300.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

The current membership is $2,800.

We know that, the percentage change = (New value - Original value)/Original value × 100

Now, the percentage change = (9300-2800)/9300 × 100

= 6500/9300 × 100

= 0.6989 × 100

= 69.89%

Therefore, the change in percentage is 69.89%.

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9514 1404 393

Answer:

  A. Given; B. multiplication; C. distributive; D. collect terms; E. addition; F. division

Step-by-step explanation:

You are expected to compare each line to the previous line and identify the changes. Apart from combining like terms (collecting terms), there are generally only three properties of interest: distributive property, addition property, multiplication property. Of course, subtraction and division are just addition and multiplication using the appropriate (additive, multiplicative) inverse.

The distributive property involves adding or deleting parentheses, so it is easy to identify.

If terms disappear, it can be due to terms being combined, or due to addition/subtraction. If coefficients disappear, it will generally be due to multiplication/division.

__

-2.5(-2-3x)+2.5(-4x-1) = -2x -4x . . . . Given

-5(-2 -3x) +5(-4x -1) = -4x -8x . . . . multiplication by 2 (fractions eliminated)

10 +15x -20x -5 = -4x -8x . . . . distributive property (eliminate parentheses)

-5x +5 = -12x . . . . collect terms

5 = -7x . . . . addition of 5x (-5x term disappeared)

-5/7 = x . . . . division by -7 (x coefficient of -7 disappeared)