A school is selling tickets to their Spring theater production Student tickets cost $6 each and non-student tickets cost $9 each There are a total of 250 seats available in the auditorium where the production will be held, and there are two different show times that people can choose to attend. The school is hoping to sell enough tickets to raise at least $2,700 for the theater department Let s represent the number of student tickets sold and let n represent the number of non-student tickets sold. Which points on the graph would lie within the solution region for the system of inequalities modeled by this situation?​

Answer:

[tex]= -2x^2 +4x+ 16[/tex]

Step-by-step explanation:

From the given equation:

[tex](x+ 2 ) \ and \ (-2x +8)[/tex]

As a single equation, we have:

[tex]= (x + 2) \ \times \ ( -2x + 8) \ = 0[/tex]

open brackets

[tex]\implies -2x^2 +8x +(-4x) + 16[/tex]

[tex]= -2x^2 +4x+ 16[/tex]

Answer:

(1)+49

(x+7)^2

(2) +16

(x+16)^2

(3) +25/4

(x+5/2)^2

Answer:

see explanation

Step-by-step explanation:

To complete the square

add ( half the coefficient of the x- term )²

x² + 14x

= x² + 2(7)x + 49

= (x + 7)²

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

x² - 8x

= x² + 2(- 4)x + 16

= (x - 4)²

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

x² + 5x

= x² + 2([tex]\frac{5}{2}[/tex] )x + [tex]\frac{25}{4}[/tex]

= (x + [tex]\frac{5}{2}[/tex] )²

Answer:

q>3<10

good luck :)

Which is the same as 15.39 ÷ 100?

[tex]15.39 ÷ 100 = \dfrac{1539}{100} \div 100 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \dfrac{1539}{100} \times \dfrac{1}{100} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: =\dfrac{1539}{10000} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =\dfrac{1539}{1000 \times 10} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =\dfrac{1539}{1000} \times \dfrac{1}{10} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =1.539 \div 10[/tex]

Hence, c is the correct option.

its answer is c .........

Answer:

ok what do you what me to do with it

Step-by-step explanation:

Answer:

thank you to your question i dont know if my

answer is correct this is my answer letter B

Answer:

54degrees

Step-by-step explanation:

there is a similar angle that is also 54 so x must be 54 degrees

pls correct me if im wrong

Answer:

k = 51

Step-by-step explanation:

You just have to substitute the variable into -7

k = -10t - 19

k = -10(-7) - 19

k = 70 - 19

k = 51

Answer:

⇒Store i charges $4 for one-time membership fee and a fee of $1.50 per rented DVD

⇒Store ii charges $5 for one-time membership fee and a fee of $2 per rented DVD

⇒ Renting a DVD in shop {i} is cheaper than in shop {ii}

Step-by-step explanation:

In the first store, the equation for cost can be calculated as;

Find slope using the data set

Number of DVDs rented               Cost {$}

1                                                        5.50

2                                                        7.0

3                                                         8.50

m= Δy/Δx

m= 8.50 - 5.50 / 3-1

m= 3/2 = 1.5

Write the equation

m= Δy/Δx

1.5 = y-7/ x-2

1.5 { x-2 } = y-7

1.5 x - 3.0 = y-7

1.5x -3.0 + 7 = y

1.5 x + 4= y

C= 4 + 1.5 d  ------where d is the number of DVDs rented

Comparing the two equations that model the cost of renting DVDs

i) C= 4 + 1.5d

ii) C=5 + 2d

⇒Store i charges $4 for one-time membership fee and a fee of $1.50 per rented DVD

⇒Store ii charges $5 for one-time membership fee and a fee of $2 per rented DVD

For example 2 DVDs are rented in both store, you can find the store which is cheaper as;

i) C= 4 + 1.5d  = 4+ 1.5*2 = 4 + 3 = $7

ii) C=5 + 2d = 5 + 2 * 2 = 5 + 4 = $9

⇒ Renting a DVD in shop {i} is cheaper than in shop {ii}

   Renting a DVD from store (2) is costlier than renting from store (2).

         y = mx + b

         Here, m = slope of the line

         b = y-intercept

For store (1),

Let the linear equation representing the cost for renting the DVDs is,

C = md + b

Here, m = slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

And 'd' = Number of DVDs

Let the two points lying on the line are (1, 5.5) and (2, 7),

So the slope will be,

[tex]m=\frac{7-5.5}{2-1}=1.5[/tex]

Equation of the line will be → C = 1.5d + b

Since, this line passes through a third point (3, 8.5),

Substitute the values in the equation of the line,

8.5 = 1.5(3)+ b

8.5 - 4.5 = b

b = 4

Hence, equation of the line for the cost of renting a DVD from store (1) will be,

C = 1.5d + 4 ---------(1)

For store (2),

Equation of the line has been given as,

C = 2d + 5 ------(2)

Equation (1) represents a fixed cost of $4 and $1.5 for renting each DVD.

Equation (2) represents a fixed cost of $5 and $2 for renting each DVD.

If Donnie rents a DVD from both the stores,

Cost for renting DVDs at store (1) → C = 1.5(1) + 4 = $5.5

Cost for renting one DVD at store (2) → C = 2(1) + 5 = $7

      Therefore, renting a DVD from store (2) is costlier than renting from store (2).

Learn more about the linear equations here,

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Answer:

40 minutes

Step-by-step explanation:

Last year she ran five miles in 50 minutes

This year her timing improved by 20%. This means she runs 5 miles in 20% less time than last year

How long does it take her to run five miles?

= 50 minutes - 20% of 50 minutes

= 50 minutes - 20/100 * 50 minutes

= 50 minutes - 0.2 * 50 minutes

= 50 minutes - 10 minutes

= 40 minutes

This year, it takes her 40 minutes to run 5 miles

Answer:

110

Step-by-step explanation:

In the triangle angle theorem the angles will all add up to equal 180.

180-20-50=110

Answer:

The original line and new line are the same.

Step-by-step explanation:

Lines have infinite length. Translating a horizontal line to the right or left will give the same line.

Answer:

225

505

Step-by-step explanation:

Answer:

157.5 and 505

Step-by-step explanation:

1.5 * 105

you can times both by 10 to get whole number

15*105 = 1575

add the decimal back

157.5

5 * 101 = 505

Answer:

$4.50

Step-by-step explanation:

50 x 0.09 = 4.5

They arrive at the same answer because Jenna used the distributive property while Mia used the order of operations PEMDAS. In a lot of aspects of math, there are many approaches to reach the same answer.

Jenna's approach makes more sense, in my opinion, because when we multiply large numbers we're going to use the distributive property anyway. So why not just have it written down instead of done mentally in our head.

As a visual way to see why this works, check out the diagram below. We have a rectangle with height 5. The length of 34 is broken up into 30 and 4, so 34 = 30+4.

The blue portion has area of 5*30 = 150, while the red portion has area of 5*4 = 20. The two regions combine to 150+20 = 170.

So this diagram shows why Jenna's method is valid. Mia's method is valid as well, but again, we'll use some form of the distributive property to multiply 5 and 34. The only advantage that Mia has is that she uses one less written step compared to Jenna.

Answer:

Step-by-step explanation:

Set 5x+9 equal with  4x +17 and solve for x

Then set whatever x is equal to y+ 20 and solve and find y

Then your done

Answer:

32/50 reduced is 26/25.

Answer: 16/25

Step-by-step explanation:

- Factor 2 out of 32

- 2 (16)/50

-  16/25

Answer: the 2nd one tan(- 5x/6)

Step-by-step explanation: because if you equal the numbers it will become a negative number i hope this helps :)

Answer:

the total distance walked is 20 km

Step-by-step explanation:

The computation of the total distance he walked is shown below:

Let us assume the total distance walked be d

Now the total time would be

Total time = (d ÷ 2) ÷ 8 +  (d ÷ 2) ÷ 5 = 3.25

d ÷ 16 + d ÷ 10 = 3.25

(5d + 8d) ÷ 80=3.25

13d = 260

d = 20 km

Hence, the total distance walked is 20 km

Answer:

brainliest plss

Step-by-step explanation:

1. y = 35x

2. y = 30x + 1

3. y = 35x

   y = 30 x + 1

4. Its more convenient to substitute y because It's easier.

    35x = 30(x + 1)

5.  35x = 30x + 1

    35x = 30x + 30

    35x -30x = 30

    5x = 30

    x = 6    (30/5 = 6)

    35 x 6 = 210 (y)

6. Both people have read 210 pages and it takes amir 6 days to catch up.

Answer:

1:14

Step-by-step explanation:

The ratio of the number of albums sold to the number of songs sold is 1:4.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

Charge for one Album = $7

Each song charges = $1.5

Total Albums and songs sold = 170

and, total worth of both = $442.00

The system of Equations can be

x + y = 170

and, 7x + 1.5y = 442

Then, 7x + 1.5(170 - x) = 442

7x + 255 - 1.5x = 442

5.5x = 187

x= 34

and, y= 170- 34 = 136

So, ratio = 34 / 136

              = 1/4

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Answer:

The answer would be -10

Step-by-step explanation:

(-2)+2*(-2)-10

4-4-10

-10

Answer:

180= 2x + 37 + 67 + 90

2x = 180 - 37 - 67 - 90

2x = -14

X= -7

A = -7 + 37 = 30

-7 + 67 = 60

30 + 60 + 90 = 180°

Answer:

6 divded by 5

Step-by-step explanation:

Answer:

(4,4)

Step-by-step explanation:

The intersection point of 10y-11x=-4 and -2y+3x=4 is (4,4) on a graph.

As per linear equation, the solution of the given system of equations is x = 4, y = 4.

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."

Given system of linear equation is:

10y - 11x = - 4 ......(1)

- 2y + 3x = 4​ ......(2)

Multiplying the equation (1) by 1 and Multiplying the equation (2) by 5 and then add both equations, we get:

   10y - 11x = - 4

+  (- 10y) + 15x = 20

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

    4x = 16

⇒ x = 4

Now, substituting the value of 'x' in the equation (2), we get:

- 2y + 3(4) = 4

⇒ - 2y + 12 = 4

⇒ - 2y = 4 - 12

⇒ - 2y = - 8

⇒ y = 4

Therefore, the solution of the given system of equations is x = 4, y = 4.

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Answer:

I would say the answer is 5.03m^2

Step-by-step explanation:

Hope this helps! Please consider marking brainliest! I hope you have an amazing day. Always remember, your smart and you got this! -Alycia :)

Answer:

a

Step-by-step explanation: