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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. The auditorium can hold a maximum of 110 people. The drama club must make at least $570 from ticket sales to cover the show's costs. Also, they must sell at least 20 student tickets and a maximum of 70 adult tickets. If xx represents the number of student tickets sold and yy represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer 1

Answer:

hgfxjdt

Step-by-step explanation:


Related Questions

can anyone help me with this question?

Answers

Answer:

45 and 13…......

Step-by-step explanation:

devide

1.Mike buys an item with a price of $15 and uses a 10% off coupon. How much does he save by using this coupon?

Answers

Answer:

14.31

Step-by-step explanation:

In your answers below, for the variable λ type the word lambda; for the derivative d/dx X(x) type X' ; for the double derivative d^2/dx^2 X(x) type X''; etc. Separate variables in the following partial differential equation for u(x,t): t^2uxx+x^2uxt−x^2ut=0

Answers

The final answer of the question which is the specific form of the solution u(x, t) = X(x)T(t)

What is the quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

To separate variables in the partial differential equation t²uxx + x²ux²t - x²zzut = 0, we assume that the solution can be written as a product of two functions, u(x, t) = X(x)T(t).

Let's begin by substituting this into the given equation:

t²(X''(x)T(t)) + x²(X(x)T'(t)) - x^2(X(x)T(t)) = 0

Now, we divide the equation by t²X(x)T(t) to separate the variables:

(X''(x) / X(x)) + (x^2 / t^2)(T'(t) / T(t)) - (x^2 / t^2) = 0

Next, we rearrange the terms:

(X''(x) / X(x)) + ((x² / t²)(T'(t) / T(t))) - (x² / t²) = 0

To satisfy this equation for all x and t, the left-hand side and the right-hand side must be equal to a constant value. Let's call this constant -λ^2:

(X''(x) / X(x)) + ((x² / t²)(T'(t) / T(t))) - (x² / t²) = -λ²

Now, we have two separate ordinary differential equations:

1. X''(x) / X(x) - x² / t² = -λ²

2. T'(t) / T(t) = λ²

Solving each equation separately will give us the general solutions for X(x) and T(t).

The general solution for u(x, t) can then be obtained by taking the product of X(x) and T(t):

u(x, t) = X(x)T(t)

The specific form of the solutions will depend on the boundary conditions or initial conditions given for the problem.

Hence, the final answer of the question which is the specific form of the solution u(x, t) = X(x)T(t)

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I choose a card at random from a well-shuffled deck of 52 cards.
The probability that the card chosen is a spade or a black card
is:




a.

37/52




b.

38/52




c.

39/52




d.

36/52

Answers

The probability of choosing a card that is a spade or a black card is 3/4 or 0.75 which is option C

What is the probability that a randomly choose card is a spade or a black card?

To find the probability of choosing a card that is a spade or a black card, we can consider the number of favorable outcomes and the total number of possible outcomes.

Number of favorable outcomes:

There are 13 spades in a deck of 52 cards.There are 26 black cards (13 spades and 13 clubs) in a deck of 52 cards.

Total number of possible outcomes =  52 cards in a deck.

Now, we can calculate the probability:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = (13 + 26) / 52

Probability = 39 / 52

Probability = 3 / 4

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The measures of the angles of a triangle are in the extended ratio 7:14:15.
Find the measures of the angles of the triangle.
Please i need help

Answers

Can you post a picture?

It would make it so much easier.

25% of x is 30

x=?
please help!!!​

Answers

25% of 30 can be found by converting 25% to a decimal and multiplying it by 30.

25% = 0.25

30x0.25=7.5

So x is 7.5.

---

hope it helps

A random sample of n = 145 items are selected for measurement. Nothing is known about the distribution of measurements. Are the requirements for constricting a confidence interval for the population mean satisfied? None of these No It depends Not enough information No answer text provided. Yes

Answers

The requirement for constricting a confidence interval for the population mean are not satisfied

How to determine if the requirements are satisfied

From the question, we have the following parameters that can be used in our computation:

Sample size, n = 145

We understand that

There is no other information about the distribution of measurements

This shows that the requirements are not satisfied

This is so because we need to know

if the measurements are normally distributed if the sample size is large enough according to the Central Limit Theorem

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2.
A customer went to a garden shop and bought some potting soil for $11.50 and 9 shrubs. The total bill was $94.75. Write and solve an equation to find the price of each shrub.


A. 9p + $11.50 = $94.75; p = $11.75

B. 9p + 11.5p = $94.75; p = $4.62

C. 9(p + $11.50) = $94.75; p = $5.00

D. 9p + $11.50 = $94.75; p = $9.25

Answers

Answer:

D. 9p + $11.50 = $94.75; p = $9.25

Step-by-step explanation:

To answer this problem, let p be the price of each scrub. The total bill (t) is the sum of the price of the potting soil (s) and of the 9 scrubs (n). This is depicted in the equation,

                                $11.50 + 9p = $94.75

The value of p from the equation is 9.25. Thus, each scrub costs $9.25. The answer is letter D.

...................................................................................................................................................

Let

p---------> the price of each scrub

s----------> the price of the potting soil

T--------> total bill

we know that

in this problem

substitute the values in the formula above

solve for p

therefore

the answer is the option D

calculista

Genius

19K answers

437.3M people helped

Jazmin takes a ride share service home from the airport. The ride share service charges $5 as an initial cost to pick her up, and $2.25 for every mile to her final destination. Jazmin's ride home cost a total of $38.75. Write an equation to represent the situation. Let m represent the number of miles to her home.

Answers

Answer:

38.75 = 2.25 m + 5

Step-by-step explanation:

It is given that :

Jazmin took a ride share service from airport to home.

The total cost of the ride service from airport to home is = $ 38.75

The ride service charged an initial cost for picker Jazmin = $ 5

Cost of the ride service for every mile = $ 2.25 per mile

Let the number of miles = m

Therefore, the equation that represents the situation is :

38.75 = 2.25 m + 5

where, m represents the number of miles.

Working together, Daniel and Donnie can clean the llama pen in 45 minutes. On his own, Daniel can clean the pen in an hour. How long does it take Donnie to clean the llama pen on his own?

Answers

Answer:

It takes him 15 minutes.

Step-by-step explanation:

Donnie clean the llama pen in 180 minutes on his own.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Daniel and Donnie can clean the llama pen in 45 minutes.

And, On his own, Daniel can clean the pen in an hour.

Now,

Let time to clean the llama pen in on his own = x minutes.

Since, Daniel and Donnie can clean the llama pen in 45 minutes.

So, In 1 minute, Daniel and Donnie clean the pen = 1/45

And, In 1 minute Daniel to work = 1/60

Thus, We can formulate;

1/x + 1/60 = 1/45

Solve for x as;

(60 + x) / 60x = 1/45

60 + x = 60x / 45

60 + x = 4x/3

180 + 3x = 4x

180 = 4x - 3x

180 = x

Thus, Donnie clean the llama pen in 180 minutes on his own.

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Express the confidence interval (0.069.0.159) in the form of p-E

Answers

the confidence interval (0.069, 0.159) can be expressed as 0.114 ± 0.045

In a confidence interval, the lower bound represents the point estimate minus the margin of error, and the upper bound represents the point estimate plus the margin of error. In this case, the lower bound of the confidence interval is 0.069 and the upper bound is 0.159. To express it in the form of p ± E, we need to find the point estimate and the margin of error.

The point estimate, p, is the average or central value of the interval. In this case, it would be the midpoint between the lower and upper bounds:

p = (0.069 + 0.159) / 2 = 0.114

The margin of error, E, can be calculated by taking half the difference between the upper and lower bounds:

E = (0.159 - 0.069) / 2 = 0.045

Therefore, the confidence interval (0.069, 0.159) can be expressed as 0.114 ± 0.045.

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Martin recorded the low temperatures at his house for one week. The temperatures are shown below.
-7, -3, 4, 1, 2, 8, 7
Approximately what was the average low temperature for the week?
Α. 7
B. "1
C. 1
D "8

Answers

Answer would be 1
Add all the temperatures together. Divide the sum by the amount of temperatures are are and boom there is your answer

The integral [, sin(x - 2) dx is transformed into S1, g(t)dt by applying an appropriate change of variable, then g() is: g(t) = sin g(t) = cos (5) O This option O This option g(t) = -cos (3) g(t) = sin O This option

Answers

By introducing the appropriate change of variable x = t + 2, we transformed the given integral [, sin(x - 2) dx] into S1, g(t)dt = [, sin(t) dt], where g(t) = sin(t). (option a)

To transform the given integral [, sin(x - 2) dx] into the form S1, g(t)dt, we need to apply a suitable change of variable. In this case, we'll introduce a new variable, t, and express x in terms of t. Let's denote this change of variable as x = h(t), where h(t) represents the transformation of t to x.

To determine the appropriate change of variable, we can start by looking at the expression inside the sine function: x - 2. We need to find a suitable expression for x that can help us simplify the integral. Let's set x - 2 equal to t:

x - 2 = t.

Now, we solve this equation for x to express it in terms of t:

x = t + 2.

Next, we differentiate both sides of the equation x = t + 2 with respect to t to find dx/dt:

dx/dt = d(t + 2)/dt.

Differentiating t + 2 with respect to t gives us:

dx/dt = 1.

Now, we have dx/dt = 1, which means dx = dt. We can substitute this value into the original integral:

[, sin(x - 2) dx] = [, sin(t) dt].

As you can see, the original integral [, sin(x - 2) dx] has been transformed into the form [, sin(t) dt] using the appropriate change of variable x = t + 2. Therefore, the integral S1, g(t)dt is now:

S1 = [, sin(t) dt],

and g(t) = sin(t).

Hence the correct option is (a).

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hurry!!!! I need help ​

Answers

50 honestly have no clue sorry
X=50°
Because A and B side angles equal.
So x+17°=67°
So when you find the x from the problem
x=67°-17°=50°

As part of his science project, Steve recorded the number of eggs laid by several lizards from the local pet shop. The data Steve collected is provided below.

10, 7, 8, 8, 9, 10, 9, 10, 8, 11, 11, 9, 7, 10, 9

In his report, Steve should use the _____ as a measure of center since his data is ____

Answers

10 and 7 and wkennrmmtmtkgkktktktkfkfkfkgkgkg

a dice was rolled 60 times what is the probability of rolling a 3

Answers

Answer: 2/15

Step-by-step explanation:

Experimental probability is the actual results of the experiment (not what should have happened, which is theoretical probability.

A 3 was rolled 8 times, so the results are 8/60=4/30=2/15

Find the sine, cosine, and tangent of acute angle A

Answers

sine = 4/5

cosine = 3/5

tangent 4/ 5

If you know the area and the base of a triangle, how can you find the height?

Answers

Answer:    do your values into the equation A=1/2bh and do the math. First multiply the base (b) by 1/2, then divide the area (A) by the product. The resulting value will be the height of your triangle!

help please i will give brainliest to first answer

Answers

Answer:

m<ADC= 117

Step-by-step explanation:

A recipe calls for 1/3 of a cup of butter. If Matthew is making 1/4 of the recipe, how much butter should he use?

Answers

Answer:

1/12 a cup

Step-by-step explanation:

1/3*1/4=1/12

Answer:

1/12

Step-by-step explanation:

1/3*1/4=1/12

50% of x is 19. *reamber is means divide*​

Answers

Answer:

9.5

Step-by-step explanation:

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided The top five test scores in Mr. Rhodes's class were 98, 92, 96, 97, and 97. What is the mean absolute deviation?​

Answers

Step-by-step explanation:

mad = 98 + 92 + 96 + 97 + 97 / 5

= 480/5

= 96

mad = (98 -96) + (92 - 96) + (96 -96) + (97- 96) + (97 -96) / 5

= 2 + (-4) + 0 + 1 + 1 / 5

=0/5

mad = 0

brainliest is appreciated

Answer:

1.6

Step-by-step explanation:

To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean|.

98+92+96+97+97=480

480/5 values=96 is the mean or average of the set of numbers

so we just find the absolute value of the data value minus the mean.

For the first one it would be |98-96|=2

then continue on and get a set of values

{2,4,0,1,1}

now find the average of that to get the mean absolute deviation

2+4+0+1+1=8

8/5 values

1.6

Hope that helps :)

p = 15
p
+4
3
please help thank you

Answers

Answer:

9

Step-by-step explanation:

15/3 simplified is 5.

5 + 4 = 9

A culture of bacteria doubles every hour. If there are 500 bacteria at the beginning, how many bacteria will there be after 9 hours


A. 256,000
B.40,500
C. 9,000
D. 4,500



(I NEED ANSWERED ASAP ) this my same question from the first one )

Answers

The answer is 9000 multiply the 9 by 2 and then multiply that answer by 500 which will be equal 9000
D, I think it’s a pretty simple equation 500 times 9 = 4,500

mrs chambers is 62 years old and plans to retire. over her life she earned an average of $2,500 per month after adjusting for inflation the formula for calculating the full monthly social security benefits is 90% of the first $680 earned the 32% of the earnings over $680 what will her monthly benefit be if her full retirement benefit is reduced by 30% for retiring at 62 years old

Answers

Answer: 60

Step-by-step explanation:

The table below shows the relationship between the number of teaspoons of baking powder in a mix and the height of fudge brownies in centimeters. Which equation represents the height of fudge brownies with x teaspoons of baking powder?

Making Fudge Brownies
Baking Powder (tsp) 5 6 7 8
Height of Brownies (cm) 2.15 2.43 2.71 2.99
A.
y = 0.28x + 0.75
B.
y = 0.75x +0.56
C.
y = 0.75x + 0.28
D.
y = 0.56x + 0.75

Answers

Answer:

A.

y = 0.28x + 0.75

Step-by-step explanation:

Check all that applies using teaspoons of baking powder, x = 5

A.

y = 0.28x + 0.75

When x = 5

y = 0.28x + 0.75

= 0.28(5) + 0.75

= 1.4 + 0.75

y = 2.15

B.

y = 0.75x +0.56

When x = 5

y = 0.75x +0.56

= 0.75(5) + 0.56

= 3.75 + 0.56

= 4.31

C.

y = 0.75x + 0.28

When x = 5

y = 0.75x + 0.28

= 0.75(5) + 0.28

= 3.75 + 0.28

= 4.03

D.

y = 0.56x + 0.75

When x = 5

y = 0.56x + 0.75

= 0.56(5) + 0.75

= 2.8 + 0.75

= 3.55

The equation represents the height of fudge brownies with x teaspoons of baking powder is

y = 0.28x + 0.75

Write a similarity statement comparing the three triangles in the diagram
P R S Q

Answers

Answer:

The answer is ΔJMK ≈ ΔMLK ≈ ΔJLM ⇒ answer (A)

Step-by-step explanation:

* Lets start with the equal angles i the three triangles

- In ΔJMK

∵ m∠JKM = 90°

∴ m∠KJM + m∠KMJ = 90 ⇒ (1)

- IN ΔMLK

∵ m∠MKL = 90°

∴ m∠KML + m∠KLM = 90° ⇒ (2)

∵ m∠KMJ + m∠KML = 90° ⇒ (3)

- From (1) , (2) , (3)

∴ m∠KJM = m∠KML

∴ m∠KMJ = m∠KLM

* Now lets check the condition of similarity in the 3 triangles

- At first ΔJMK and ΔMLK

- In triangles JMK , MLK

∵ m∠KJM = m∠KML

∵ m∠KMJ = m∠KLM

∵ m∠JKM = m∠MKL

∴ ΔJMK ≈ ΔMLK ⇒ (4)

- At second ΔJMK and ΔJLM

∵ m∠KJM = m∠MJL

∵ m∠KMJ = m∠MLJ

∵ m∠JKM = m∠JML

∴ ΔJMK ≈ ΔJLM ⇒ (5)

* If two triangles are similar to one triangle, then they are

similar to each other

- From (4) and(5)

∴ ΔJMK ≈ ΔMLK ≈ ΔJLM

Use synthetic division to evaluate (2x2 − 7x + 5) ÷ (x − 1).


1. 2x - 9

2. 2x - 5

3. 2x^2 - 5x

4. 2x^2 - 10

Answers

2. 2x-5 is the correct answer

Given that a­­^b = x, evaluate the following: a^2b

Help PLZ!!! Will give brainliest to the first correct answer!!!!!!!

Answers

Answer:

[tex] x^2 [/tex]

Step-by-step explanation:

[tex] a^{2b} = a^{b \times 2} = (a^b)^2 = x^2 [/tex]

Answer: [tex] x^2 [/tex]

Answer:

x² is the answer

Step-by-step explanation:

if a^b=x

and a^2b= (a^b)²

=x²

How could you calculate the value of log11(9100) using a calculator? What does it equal (round to the nearest tenths place)?

Answers

I don’t know gjcdjdveudvdudhsvudbfvfif
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