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. If there are no possible solutions, submit an empty answer.

Answer:

25x² - 1

Step-by-step explanation:

Given

(5x + 1)(5x - 1)

Each term in the second factor is multiplied by each term in the first factor, that is

5x(5x - 1) + 1(5x - 1) ← distribute both parenthesis

= 25x² - 5x + 5x - 1 ← collect like terms

= 25x² - 1

Answer:

y = 4x + 13

Step-by-step explanation:

First of all, if they are parallel, they must have the same slope, so the 4x is the same. all we need to do now is to change the b to make it cross the point (-3, 1). Doing so, we see that the y-intercept becomes 13. Therefore, the equation is y = 4x + 13.

Answer:

The equation: 2n - 3 ≤ -21

The answer to the equation: n ≤ 9

Step-by-step explanation:

How to get the equation:

The difference of symbolizes subtraction. Because we are subtracting twice a number and 3, the first part of the equation can be written as 2n - 3. The n symbolizes the number.

is at most symbolizes a less than or equal to sign. That sign is ≤. And what is it less than or equal to? -21.

Now are equation is 2n - 3 ≤ -21

How to solve it:

2n - 3 ≤ -21

Add 3 to both sides of the equation

2n ≤ 18

Divide both sides of the equation by 2

n ≤ 9

Answer:

9(x-11) = 9

9x-99 = 9

9x = 108

x = 108/9

thus,

x = 12

Answer:

Step-by-step explanation:

A) y = 2x – 7  and f(x) = 7 – 2x

Incorrect. These equations look similar but are not the same. The first has a slope of 2 and a y-intercept of −7. The second function has a slope of −2 and a y-intercept of 7. It slopes in the opposite direction. They do not produce the same graph, so they are not the same function. The correct answer is f(x) = 3x2 + 5 and y = 3x2 + 5.

B) 3x = y – 2  and f(x) = 3x – 2

Incorrect. These equations represent two different functions. If you rewrite the first equation in terms of y, you’ll find the equation of the function is y = 3x + 2. The correct answer is f(x) = 3x2 + 5 and y = 3x2 + 5.

C) f(x) = 3x2 + 5 and y = 3x2 + 5

Correct. The expressions that follow f(x) = and y = are the same, so these are two different ways to write the same function: f(x) = 3x2 + 5 and y = 3x2 + 5.

D) None of the above

Incorrect. Look at the expressions that follow f(x) = and y =. If the expressions are the same, then the equations represent the same exact function. The correct answer is f(x) = 3x2 + 5 and y = 3x2 + 5.

Answer:

There are 35 chickens

Step-by-step explanation:

goats : chickens: total

3               7           3+7 = 10

There are 50 animals

50/10 = 5

Multiply each number by 5

goats : chickens: total

3*5          7 *5         10*5

15              35             50

There are 35 chickens

Answer:

15 goats and 35 chickens

Step-by-step explanation:

goats to chickens - 3:7

3:7

3+7=10

50/10=5

3*5:7*5

15:35

Answer:

0.5

Step-by-step explanation:

-15=-30x

-15/-30=0.5

Answer:

i believe it is 0.2143

Step-by-step explanation:

Answer:

0.21428571428

Step-by-step explanation:

I hope this help.

Answer:

[tex]tan^2(x)[/tex]

Step-by-step explanation:

[tex](sec(x)-1)(sec(x)+1)\\sec^2(x) - 1\\\frac{1}{cos^2(x)} -1\\\frac{1-cos^2(x)}{cos^2(x)} \\\frac{sin^2(x)}{cos^2(x)}\\ \\tan^2(x)[/tex]

Answer:

this is the exact same question I need too

Well if the frying pan has a diameter of 14cm you would need to multiply 14 by 4 or the number of edges your pan/ platter has. Then you know the diamter of the pancake you would be able to make.

Hope I helped! Please let me know in the comments below if this helped you to find your pancake diamete! I personally love pancakes and I am also a huge fan of math and estimating!

If I helped please rate, thanks, and mark me brainliest.

Yours,

Fellow brainiac

Answer:

9x^2-24x+16

Step-by-step explanation:

(3x-4)(3x-4)

FOIL

9x^2-12x-12x+16

9x^2-24x+16

Answer:

Each employee earns $44.50

Step-by-step explanation:

When you divide $178 evenly among 4 employees, each will get $44.50.

178÷4= 44.50

Check: 44.5×4= 178

Answer:

81 is d answer

Step-by-step explanation:

x = 9y

= > 9y + y = 90 substitution

= > y = 9

x =9y = 81 degree

Answer:

b = 1

b = -1

a = 0

Step-by-step explanation:

9514 1404 393

Answer:

  g - 4 = 9

Step-by-step explanation:

If the number is g, then four less than the number is g-4.

If that is 9, then you have the equation ...

  g - 4 = 9

_____

Additional comment

If you add 4 to both sides of the equation, you have its solution.

  g -4 +4 = 9 +4

  g = 13

So, 4 less than 13 is 9.

Answer: (below)

Step-by-step explanation:

y = 2x + 1

slope = 2

y-int = (0, 1)

y = 3x - 1

slope = 3

y-int = (0, -1)

y = 4x

slope = 4

y-int = (0, 0)

y = -3x - 1

slope = -3

y-int = (0, -1)

y = -x - 4

slope = -1

y-int = (0, -4)

y = (2/5)x - 1

slope = 2/5

y-int = (0, -1)

Answer: 1. 80 2. 1/3 3. -300 4. 120 pages Equation: 0.7p = 84, p=120

Answer:

i want some kitty Kat

Answer:

3 days

Step-by-step explanation:

4 1/2 - 3/4 = 3 3/4 - 3/4 = 3 -3/4 = 2 1/4

3 - 1/4 = 2 3/4 - 1/4 = 2 1/2 - 1/4 = 2 1/4

Answer:

−15x+−30

Step-by-step explanation:

Distribute:

=7+(−3)(5x)+(−3)(−10)+−67

=7+−15x+30+−67

Combine Like Terms:

=7+−15x+30+−67

=(−15x)+(7+30+−67)

=−15x+−30

Answer:

Step-by-step explanation:

66

Answer:

ok so

1/3×1/4=1/12

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

Fractions must have common denominators

1/3= 4/12

1/4=3/12

4/12+3/12=7/12

12/12-7/12=5/12

Answer:

[tex]8\frac{1}{2}*11=93\frac{1}{2}[/tex]

Step-by-step explanation:

Simplify the expression.

Answer:

a) line [EA]

b) line [HA]

Step-by-step explanation:

Answer:

a) line(EA)

b) line(HA)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I think I'm not for sure

Answer:

m1=m2 condition for parallelism

m1=m2= 2/3

= y-7/x_6

y=2/3x +3

Answer:

(2,1)

Step-by-step explanation:

multiply by negative three on the first equation then solve

Answer:

(-2, 1)

Step-by-step explanation:

Given:

2x+8y=4...(1)

6x-y=-13...(2)

You would want to have an x or a y value that equals the same in both equations. In this case, we can multiply equation 1 by 3 so that both x's in each equation equal 6x.

(2x+8y=4) x 3...(1)

6x-y=-13...(2)

becomes...

6x+24y=12...(3)

6x-y=-13...(4)

As you can see here, both x's in this equation are equal.

Now we will be combining these equations together. Take the equal x values and make sure they will equal 0. You do that by either subtracting the entire equation or adding it. In this problem, we will be subtracting it because 6x-6x=0

(6x+24y=12) - (6x-y=-13) = 25y =25

Now that we can solve for y separately, 25y=25   y=1

To solve for x, just substitute y into one of the original equations (equations 1 or 2). For this problem, I'll use equation 1.

6x-y=-13

6x-1=-13

6x=-12

x=-2

(This is what I got for my answer and here is the explanation. I apologize if my answer is incorrect. If someone notices a mistake in my answer, please correct me, thank you and have a nice day!)

Answer:

The number of days

Step-by-step explanation: