A high school play sold tickets that cost $15, for adults and $12, for students. On Friday, total ticket sales were $1716. If the number of student tickets sold was twice the number of adult tickets sold, how many of each did the box office sell? How many of each type of ticket was sold?

-

(2x + 9) (6x + 6)

- Apply the distributive property by multiplying each term of 2x + 9 by each term of 6x + 6.

\(12x^{2}\) + 12x + 54x + 54

- Combine 12x and 54x to get 66x.

ANSWER :

\(12x^{2}\) + 66x + 54

Answer:

See below.

Step-by-step explanation:

(2x+9)(6x+6)

2x(6x) + 2x(6) = 12x² + 12x

9(6x) + 9(6) = 54x + 54

Combine like terms.

12x²+66x+54

-hope it helps

I also got the answer 64/49.

:D

The fraction  \((\frac{7}{8})^{-2}\) without an exponent can be written as  \(\frac{64}{49}\).

To rewrite the fraction \((\frac{7}{8})^{-2}\) without an exponent, we can apply the rule of reciprocals.

Reciprocal of a fraction a/b is given by b/a.

So, taking the reciprocal of  \((\frac{7}{8})^{-2}\) , we get:

\((\frac{7}{8})^{-2}\)  =\((\frac{8}{7})^{2}\)

Now let us simplify the numerator and denominator:

\(=\frac{8\times 8}{7 \times 7}\)

\(=\frac{64}{49}\)

Therefore,  \((\frac{7}{8})^{-2}\) can be rewritten as \(\frac{64}{49}\).

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Answer:

5

Step-by-step explanation:

Answer: 56 on average

Step-by-step explanation:

30 + 45 + 50 + 75 + 80 = 280

divide by amount of numbers (5)

280 / 5 = 56

Answer:

I know for sure, x=110 and the interior of a triangle is 180 degrees added up, so it is definately less than 180 degrees for the 2 angles added up, I am not sure what y is I haven't done geometry for almost 2 years now sorry.

Answer:

they are limited because rulers only count up to 12 inches and scales can only weigh up to a certain weight depending on the scale being used.

Answer:

Just look it up

Step-by-step explanation:

Answer:

the answer is 2 and 1

Step-by-step explanation:

0 votes

Step-by-step explanation:This leads to another rule for exponents—the Power Rule for Exponents. To simplify a power of a power, you multiply the exponents, ...  More

Answer:

120 ft, 5 qt

Step-by-step explanation:

3 feet in every yard, so 40 x 3 = 120 feet

4 quarts in every gallong, so 20 / 4 = 5

Answer:

A, B and E

Step-by-step explanation:

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

From the given graph we have the correct statements are A, B and E.

We have given that,

The scatter plot shows the relationship between ice cream sales and temperature at noon on that day at the seaside ice cream shop.

We have to determine the statements are correct.

A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. If the points are coded, one additional variable can be displayed.

From the given graph we have the correct statements are A, B and E.

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The probability of making no sales in 100 tries is 0.97^100. That's equal to about 0.0476, so the probability of getting at least one sale is 0.9524. About 95%.

If the probability of making a sale is 0.03 then the probability of not making a sale must be 1-0.03 which is 0.97.

So looking at contacting 100 prospects, you could say there are two general outcomes. Either the salesman makes no sales at all, or he makes at least one sale. There are no other possible outcomes, so the probability of those two outcomes must add up to 1.

So the probability of making of at least one sale is 1 minus the probability of making no sales.

The probability of making no sales in 100 tries is 0.97^100. That's equal to about 0.0476, so the probability of getting at least one sale is 0.9524. About 95%.

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Answer:

A angle 7 is 6 inches

B angle 8 is 7 inches and 5 inches wide

C angle 3 is an obtuse angle, 6 inches and 9 inches wide

25.The correct answer is A. The subject has an extreme criterion.26. The correct answer is B. The criterion is negative.

Question 25:If you know the true underlying sensitivity (d') is 2, but you measure d' as 0, the most reasonable conclusion would be that the subject has an extreme criterion. The criterion refers to the decision threshold used to differentiate between signal and noise. In this case, the subject's criterion is likely set in such a way that they are more conservative or cautious, leading to a reduced sensitivity measure.Therefore, the correct answer is A. The subject has an extreme criterion.

Question 26:When there are more False Alarms than Hits in signal detection, it suggests that the criterion is negative. The criterion represents the decision threshold, and a negative criterion implies a more liberal or lenient approach to categorizing events as a signal. This leads to a higher likelihood of detecting false alarms (incorrectly identifying noise as a signal) while potentially missing some true signals.Hence, the correct answer is B. The criterion is negative.

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\(\frac{1820728291}{14285714286}\)

Using a system of equations, the quantity of Type A coffee that Trey's Coffee Shop blended with Type B coffee was 78 pounds.

A system of equations or simultaneous equations is two or more equations solved concurrently, simultaneously, or at the same time.

Unit Cost Per Pound:

Type A coffee = $5.80

Type B coffee = $4.25

The total quantity of pounds of the blend = 142 pounds

The total cost of 142 pounds = $724.40

Let the number of Type A coffee = x

Let the number of Type B coffee = y

x + y = 142 ... Equation 1

5.8x + 4.25y = 724.40 ... Equation 2

Multiply Equation 1 by 4.25:

4.25x + 4.25y = 603.5 ... Equation 3

Subtract Equation 3 from Equation 2:

5.8x + 4.25y = 724.40

-

4.25x + 4.25y = 603.5

1.55x = 120.9

x = 78

Substitute x = 78 in either equation:

x + y = 142

78 + y = 142

y = 64

Thus, 78 pounds of Type A coffee was used for the mixture.

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Answer: where is the picture

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2+5 = 7                 14 divided by 7 is 2

mark as brainliest plz

The relationship between the two variables is positive and nonlinear.

Relationship can vary in terms of its nature and characteristics.

When considering the possible relationships, four scenarios can arise: negative and nonlinear, positive and linear, negative and linear, and positive and nonlinear.

Negative and nonlinear relationship: In this scenario, the two variables exhibit a negative correlation, meaning that as one variable increases, the other decreases.

Additionally, the relationship is nonlinear, suggesting that the rate of change is not constant. Instead, it may vary across different values of the variables.

Positive and linear relationship: This situation indicates a positive correlation between the variables, implying that as one variable increases, the other also increases.

The relationship is linear, meaning that the rate of change remains constant. This implies a consistent linear pattern in the data.

Negative and linear relationship: This scenario suggests a negative correlation between the variables, where an increase in one variable corresponds to a decrease in the other.

The relationship is linear, indicating a constant rate of change.

Positive and nonlinear relationship: In this case, the two variables exhibit a positive correlation, meaning that as one variable increases, the other also increases.

However, the relationship is nonlinear, indicating that the rate of change varies across different values of the variables.

Overall, the nature of the relationship between two variables can significantly impact the interpretation and analysis of data, highlighting the importance of understanding the specific characteristics of the relationship when examining their interactions.

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Hey there! I'm happy to help!

First, let's see how many times 6 minutes fits into 20 minutes.

20/6=3 1/3

So, we are traveling 10 miles 3 1/3 times!

10×3 1/3=33 1/3

This train will travel 33 1/3 miles in 20 minutes.

Have a wonderful day! :D

Farmer has 5 types of animals in his farm, including cows, goats, horses, sheep, and dogs. He has a database that indicates the number of animals in each category. This can be done using a Python dictionary.

Let us consider the Python code to determine the number of animals in each category.```
animal_dict = {"Cow": 10, "Goat": 20, "Horse": 8, "Sheep": 25, "Dog": 15}
print("Number of Cows in the Farm:", animal_dict["Cow"])
print("Number of Goats in the Farm:", animal_dict["Goat"])
print("Number of Horses in the Farm:", animal_dict["Horse"])
print("Number of Sheeps in the Farm:", animal_dict["Sheep"])
print("Number of Dogs in the Farm:", animal_dict["Dog"])```

In the code, `animal_dict` is the dictionary that contains the number of animals in each category. The `print` statement is used to display the number of animals in each category. The output for the above code will be:```
Number of Cows in the Farm: 10
Number of Goats in the Farm: 20
Number of Horses in the Farm: 8
Number of Sheeps in the Farm: 25
Number of Dogs in the Farm: 15```

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Answer:

Fred used the first number Line

Prehensile tail in animals like monkeys or tree porcupine is a structural adaptation as it is a physical trait that help them to survive in their environment. The term prehensile means "able to grasp".

A prehensile tail's special characteristic is that it is used to grasp objects. A well defined prehensile tail can be used to grasp or hold objects helping the animal to finding and eating food.

A partially prehensile tail helps the organism to anchor itself to tree aiding in climbing. It is seen in tree porcupines, rats, many snakes etc. It is not seen only in mammals, even seahorses have prehensile tail.

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Answer:

(5,4)

Step-by-step explanation:

first, if you have a calculator you can put the equation into y = and just find the maximum point there

to find the x value of the maximum point you do -B/2A

-80/2(8) = 5 so the x value would be 5

then to find y just plug in 5 for x and you should get 4

Answer:

Maximum value of
\(f(x) = - 8x^2 + 80x - 196\)

is

\(\boxed{f(x) = 4}\)

Step-by-step explanation:

The maximum or minimum value of a function f(x) occurs when the first derivative equals zero

The first derivative of
\(f(x) = - 8x^2 + 80x - 196\)

\(f'(x) = \dfrac{d}{dx}\left(-8x^2+80x-196\right)\)

\(=-\dfrac{d}{dx}\left(8x^2\right)+\dfrac{d}{dx}\left(80x\right)-\dfrac{d}{dx}\left(196\right)\)

\(\dfrac{d}{dx}\left(8x^2\right) = 16x\\\\=- \dfrac{d}{dx}\left(8x^2\right) = -16x\\\\\\\dfrac{d}{dx}\left(80x\right)=80\\\\\dfrac{d}{dx}\left(196\right)=0\)

\(\dfrac{d}{dx}\left(-8x^2+80x-196\right) \\\\\\ =-16x + 80 + 0\\\\= -16x + 80\\\\\)

Set this expression equal to 0 and solve for x to find the x value which maximizes or minimizes the function

\(-16x + 80 = 0\\\\\implies -16x = -80\\\\x = -80/-16\\\\x = 5\\\\\)

Plug this value of x into the original function to get the maximum or minimum value.

\(f(5) = -8(5^2) + 80(5) - 196\\\\= -8 (25) +400 -196\\\\= -200 + 400 - 196\\\\= 4\\\\\)

So the maximum value of \(\boxed{f(x) = 4}\) ANS

and occurs at \(x = 5\)  

(Strictly speaking to find if this is a maximum or minimum, we have to find the second derivative and see if it is negative or positive. If negative, it is a maximum, if positive it is a minimum

But since the question does not ask for this, I am skipping it. In case you are interested, the second derivative of f(x) is the derivative of f'(x) which will work out to -16 so it is a maximum)

Step-by-step explanation:

Use the distance formula  ( a modified Pyhtagorean theorem)

d^2 = (x1-x2)^2 + ( y1-y2)^2

d^2 = ( -6 - -9)^2 + ( -1 - -6)^2

d^2 = ( 3^2)  + ( 5^2)

d^2 = 34

d = sqrt (34 ) =~ 5.8 units  

Step-by-step explanation:

720

Answer:

720

Step-by-step explanation:

360 divided by 2 is 180

1 hour takes 180 miles

180 times 4 gives you how much it takes for 4 hours

answer is 720 miles

Answer:

k=1/3; k=-2/5

Step-by-step explanation:

\(15k^2+k-4=-2\\15k^2+k-2=0\\(3k-1)(5k+2)=0\\3k-1=0; 5k+2=0\\k=1/3; k=-2/5\)

The interpretation of the slope in the context of the problem is: For every hour the electrician works, her pay will increase $28.

The slope of any function is the unit rate or average rate of change of the given function for that situation.

here, we have,

Given the function, E(x) = 130 + 28x, where:

E(x) is the amount an electrician charges per job

130 is the flat rate service which is the starting value or y-intercept

28 is the unit rate or slope, which is the fee charged per hour by the electrician to complete a job.

Thus, the interpretation of the slope in the context of the problem is: For every hour the electrician works, her pay will increase $28.

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To test the candy company's claim about the percentage of blue candies, a hypothesis test can be conducted using a significance level.

The null hypothesis would assume that the claimed percentage is true, while the alternative hypothesis would state that the claimed percentage is not true. The significance level will determine the threshold for rejecting the null hypothesis based on the observed data.

In hypothesis testing, the null hypothesis (H₀) represents the claim being tested, which in this case is that the percentage of blue candies is equal to a specific value. The alternative hypothesis (H₁) contradicts the null hypothesis and suggests that the claimed percentage is not true. Let's assume the claimed percentage is p. The test statistic used for comparing observed data with the null hypothesis is typically the z-score.

The next step is to determine the significance level, denoted as α. This value represents the probability of rejecting the null hypothesis when it is true. Commonly used significance levels are 0.05 (5%) and 0.01 (1%). Once the significance level is chosen, a critical region is established, which defines the range of values that would lead to rejecting the null hypothesis. The critical region is determined based on the chosen significance level and the distribution of the test statistic (in this case, the standard normal distribution).

Finally, the observed data is collected and analyzed. The test statistic is calculated using the observed proportion of blue candies, and it is compared to the critical values. If the test statistic falls within the critical region, the null hypothesis is rejected, indicating that there is evidence to support the claim that the percentage of blue candies is different from the claimed value. If the test statistic does not fall within the critical region, the null hypothesis is not rejected, suggesting that the claim made by the candy company is plausible.

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