The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $4 and each adult ticket sells for $8.50. The auditorium can hold at most 79 people. The drama club must make no less than $460 from ticket sales to cover the show's costs. If 53 student tickets were sold, determine the minimum number of adult tickets that the drama club must sell in order to meet the show's expenses.

Answer:

Value: 10

Step-by-step explanation:

1. Let us first write down the expression, changing it a bit to our convenience: 2(x - 3) + 2x - 4

2. Substitute this value of x into the expression as such:

2(5 - 3) + 2(5) - 4

3. Now we can approach this first part of the problem in two ways:

Option 1. distribute the 2 to the 5 and then the -3, in 2(5 - 3)

Option 2. subtract 3 from 5, then multiply 2 by that value

4. Given such, let us try the 2nd option for simplicity, and carry on with our calculations: 2(2) + 2(5) - 4

5. Now apply algebra and solve this expression:

2(2) + 2(5) - 4 = 4 + 10 - 4 = 14 - 4 = 10

Answer:

y = -3x + 2

Step-by-step explanation:

To find the slope of an equation you can do (y2-y1)/(x2-x1). Plug the values in from the equation and you get (-1+7)/(1-3), or 6/-2. This means the slope is -3. Then you plug the values of y and x into an equation y = -3x + b, and you get -1 = (-3)1 + b. Solve for b. -1 = -3 + b, (add 3 to each side) 2 = b. Then plug b back into your equation and you get y = -3x + 2

Answer:

-3x+2=y

Step-by-step explanation:

u need to find the slope intercept formula which mx+b=y

m=slope

b=y-intercept

first u should find the slope which is y2-y1/x2-x1

point 1:(1,-1)

point 2:(3,-7)

-7+1/3-1=-6/2=-3

m=-3

now replace the variables

-3(1)+b=-1

-3 times 1=-3

-3+b=-1

add 3 to both sides

b=2

now the equation is -3x+2=y

Answer:

The perimeter of the quadrilateral is that to add all the sides and multiply it by 2 to get the quadrilateral which will be 65.4.

Step-by-step explanation:

Answer:

it equals 41.2 units

Answer:

x = 2

y = - 1

Step-by-step explanation:

Please see the step by step solution in the picture attached below.

Hope it can help you. Have a nice day!

Answer:

infinitly many solutions

Step-by-step explanation:

0=2z-2z

2z-2z=0

so 0=0

infinitly many

Answer:

A

Step-by-step explanation:

You don't have to do anything, the only equation with a slope of -2 is A.

a) Because each pick is independent (we pick and then replace), we just have to find the probability of picking it out once, then cube that. This probability is 4/(3+3+4)=2/5. So, it is 8/125.

b) If we replace it, then we can do it in a strategic way:

The probability of picking it out the first time is 2/5. Now, there are 3 button downs and 9 shirts total.

The second time: 3/9=1/3

Now there are 2 and 8

Third time: 2/8=1/4.

The final probability is 2/5*1/3*1/4=1/30

Answer:

logx+log(x +1)= log6

Step-by-step explanation:

Please find attached photograph for your answer.

Answer:

Explanation:

Plato

Answer:

52.8%

Step-by-step explanation:

To convert a decimal to a percent, you simply need to multiply the decimal by 100. This is because a percent is a fraction of 100. Therefore, since 0.528*100=52.8, the answer is 52.8%. Hope this helps!

Percentage form of number 0.528 is,

⇒ 52.8%

We have to given that;

To convert 0.528 into a percent.

Since, A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Hence, We can change into a percent as,

⇒ 0.528

⇒ 0.528 x 100%

⇒ 52.8%

Learn more about the percent visit:

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Answer:

u = 11

Step-by-step explanation:

6(u+5)=96

Divide both sides by 6

u+5=16

Subtract 5 from both sides

u=11

The variable, u, is equivalent to 11

Answer:

u=11

Step-by-step explanation:

If you multiply  the parentheses by the outside number (6) it will bring you

6u+30=96 then take away 30 from each side to get

6u=66 last step is to divide by six

u=11

Answer:

I believe it is true. So sorry if it's not.

Answer:

C.

Step-by-step explanation:

Answer:

2(2x+19) would be your answer

Answer:

yes that's the answer because the volume of a cylinder= πr²h and the volume of a cone =1/3πr²h

Answer:

C. The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.

Step-by-step explanation:

It's a given that f(x) = x^2 so that means g(x) = f(x) - 9 means g(x) = x^2 - 9

in slope intercept form y = mx + b, b is the y-intercept

since g(x) is just f(x) with the y-intercept as -9 we know that the vertex of the parabola moves downwards 9 units

---

Hope this helps! :) If so, please mark my answer as brainliest

Function g(x) is the translation of function f(x). The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f(x). The correct statement is C.

[tex]f(x)=x^{2}[/tex].

[tex]g(x) = f(x) - 9.[/tex]

From the above functions it is clear that the equation for the graph of g(x) will be,

[tex]g(x)=x^{2} -9[/tex].

The equation [tex]y=mx+c[/tex] is the general equation of any straight line where m is the gradient of the line (how steep the line is) and c is the y -intercept (the point in which the line crosses the y -axis).

Since The y intercept of function f(x) is zero.

Hence in the function g(x), it is 9 units below the intercept of the function f(x). Thus the correct option is C.

For more details on y-intercept follow the link:

https://brainly.com/question/329422

Step-by-step explanation:

I hope it's correct.. And hopefully you understand those steps and also my horrible writing

Answer:

44.4% according to A P E X

Step-by-step explanation:

A P E X

V

=

4

3

π

r

3

=

4

3

·

π

·

6

3

≈

904.77863

Answer:

28 is less than or equal to x

Step-by-step explanation:

20 is less than or equal to x - 8

20 + 8 is less than or equal to x - 8 + 8

You add to cancel out the 8 to isolate x.

28 is less than or equal to x

Answer:

The answer is 3, it's the only answer closest to 200

Step-by-step explanation:

Answer:

1,3,5,15

Step-by-step explanation:

Answer:

Step-by-step explanation:

Factors of 15:

1 , 3 , 5 , 15

Answer:

b

Step-by-step explanation:

Answer:

I dink Bs

Step-by-step explanation:

Step-by-step explanation:

The question is not properly formatted, here is a better format

the expression

[tex]7x+17x-6= (4x+6)[/tex]

[tex]x=42[/tex]

To verify weather the above is correct we need to solve it our-self

[tex]7x+17x-6= (4x+6)[/tex]

Opening up the bracket in the left hand side we have

[tex]7x+17x-6= 4x+6[/tex]

Collecting like terms we have

[tex]7x+17x-4x= 6+6[/tex]

[tex]24x-4x= 12\\20x= 12[/tex]

Divide both side by 20 we have

[tex]x= \frac{12}{20} = \frac{6}{5} \\[/tex]

Answer:

x = 1; y = 6

Step-by-step explanation:

x + 2y = 13

-x + y = 5

Add the equations to eliminate x.

3y = 18

Divide both sides by 3.

y = 6

Now substitute y with 6 in the first equation.

x + 2(6) = 13

x + 12 = 13

Subtract 12 from both sides.

x = 1

Answer: x = 1; y = 6

Answer:

5 flowers are pink

Step-by-step explanation:

Answer:

There are 5 pink flowers.

Step-by-step explanation:

8 flowers - 3 flowers = 5 flowers

hope this helps :)

Answer:

x2+10x+24

Step-by-step explanation:

The expanded expression in standard form is: [tex]x^2 - 10x + 24[/tex]

To expand the expression (x - 4)(x - 6), you can use the distributive property to multiply each term in the first parentheses by each term in the second parentheses. Let's do that step by step:

(x - 4)(x - 6)

Step 1: Multiply x from the first parentheses by both terms in the second parentheses:

[tex]x * x = x^2\\x * -6 = -6x[/tex]

Step 2: Multiply -4 from the first parentheses by both terms in the second parentheses:

-4 * x = -4x

-4 * -6 = 24

Now, put everything together: (x - 4)(x - 6) = [tex]x^2 - 6x - 4x + 24[/tex]

Combine like terms: [tex]x^2 - 10x + 24[/tex]

So, the expanded expression in standard form is:

[tex]x^2 - 10x + 24[/tex]

To know more about standard form here

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Answer:Cholecystitis

Step-by-step explanation:

Answer:

D. Vertex: (3, -1); zeros: (2,0), (4,0), y-intercept: (0,8)

Step-by-step explanation:

I used the desmos graphing calculator. Just plug in your equation and it should be pretty easy to find these points

Answer:

Vertex is (3,-1)  zeros ( 4,0) (2,0) and y intercept (0,8)

Step-by-step explanation:

y = x^2 - 6x+8

Factor

y = (x-4) (x-2)

Set = 0 to find the zeros

0 = (x-4) (x-2)

Using the zero product property

x-4 = 0    x-2 =0

x=4   x=2

The vertex is 1/2 way between the zeros

(4+2)/2 = 6/2 = 3

y = (3-4) (3-2)

  -1 (1)

y = -1

Vertex is (3,-1)

The y intercept is at x=0

y = 0-0+8

y =8