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aleksandr82 [10.1K]
3 years ago
14

Pleaseee give me sum answerssss

Mathematics
2 answers:
bija089 [108]3 years ago
6 0

Answer:

D

Step-by-step explanation:

y =94..multiply 5 by94 and get 470

lilavasa [31]3 years ago
5 0
It’s D because the explication is easy
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1. Suppose that a theater charges a school group $4.50 per student to show a special film. Suppose that the theater's operating
elixir [45]

The functions I(x) and E(x) of the theatre's income and expenses are illustrations of linear functions.

<h3>The equation of the theatre's income</h3>

The theatre charges $4.50 per student.

Assume the number of students is x, the equation of the theatre's income would be:

I(x) = 4.5x

<h3>The equation of the theatre's expenses</h3>

The theatre expense per student is $1.25, and the operating cost on the staff is $130

The equation of the theatre's expenses would be:

E(x) = 1.25x + 130

<h3>Complete the table</h3>

Using the formulas I(x) = 4.5x and E(x) = 1.25x + 130, the complete table is:

Students, x  0       10        20     30      40      50      60    70

Income, I      0      45        90     135     180    225    270   315

Expenses, E 130  142.5   155    167.5   180   192.5   205  217.5

<h3>The graph of the theatre's income and expenses</h3>

See attachment

<h3>The pattern by which theatre's income and expenses increase</h3>

The functions I(x) and E(x) are linear functions.

So, the pattern with which the functions increase is a linear pattern.

<h3>The number of students when the theatre's income and expenses are equal</h3>

This means that:

I(x) = E(x)

So, we have:

4.5x = 1.25x + 130

Subtract 1.25 from both sides

3.25x = 130

Divide both sides by 3.25

x = 40

Hence, the number of students is 40

<h3>The theatre profit</h3>

This is the difference between the theatre expenses and their income.

So, we have:

P(x) = E(x) - I(x)

This gives

P(x) = 1.25x + 130 - 4.5x

Simplify

P(x) = 130 - 3.25x

<h3>Solution to the inequalities</h3>

We have:

E(x) < 255

This gives

1.25x + 130 < 255

Subtract 130 from both sides and divide by 1.25

x < 100 students

Also, we have:

I(x) > 675

This gives

4.5x > 657

Solve for x

x > 146 students

Hence, the number of students for the inequalities are less than 100 and greater than 146

Read more about linear equations and inequalities at:

brainly.com/question/11234618

8 0
2 years ago
I have 3 questions, 20 points each please explain your answer and show work, and PLEASE GIVE AN ACTUAL ANSWER. PLEASE ANSWER SOO
alexdok [17]

Answer:

Step-by-step explanation:

1.From the given triangle, ABC, using the proportionality theorem, we get

\frac{FA}{CA}=\frac{EF}{BC}

⇒\frac{8}{40}=\frac{5}{x}

⇒x=25ft

Thus, the height will be 25 feet.

2.  

Statement                                                   Reason

1.∠C≅∠E                                                     Given

2. ∠ABC≅∠DBE                                Vertically opposite angles

3. ΔABC is similar to ΔDBE               AA similarity rule.

5 0
3 years ago
Helppp the tutorsss arent workinggg
Rama09 [41]

Answer:

210.82

Step-by-step explanation:

arc length= 2pi r (Ø/360)

= 2x 3.14 x 47(257/360)=210.82

5 0
2 years ago
Which number is greater and by how much?
Lana71 [14]

Answer:

A

Step-by-step explanation:

first option, as the decrease percentage is applicated on a greater number than the original

e.g.

A

a= 10

B

10 + 50% = 15

15 - 50% = 7,5

A will be greater then B by 25%

4 0
2 years ago
X^2+y^2=25 find the distance of point (x,y) from origin​
storchak [24]

Answer:

5

Step-by-step explanation:

The radius is 5.

All I do was think of the center-radius form a circle

(x-h)^2+(y-k)^2=r^2

x^2     + y^2    =25

(x-0)^2+(y-0)^2=5^2

The center is (0,0) and the radius is 5.

So a point on the circle (x,y) has a distance of 5 from the center

and the center's case here is (0,0).

3 0
2 years ago
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