Your local high school is putting on a musical. They have sold 1000 tickets. Adult tickets


were sold for $8. 50, while child tickets were sold for $4. 50. A total of $7100 was


collected from ticket sells. How many tickets of each kind were sold?

Answer:

Solution is in attached photo.

Step-by-step explanation:

The amounts of time spent running will routine #1 burn at most as many calories as routine #2 is 5 minutes.

Inequality:

Inequality expressions are a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions but they are not equal.

Given:

Deandre is choosing between two exercise routines.

Routine #1:

Walking = 22 calories

Running = 12.5 calories

Routine #2:

Walking = 43 calories

Running = 8.3 calories

Here we need to find the amount of time spent on running in routine #1 burn at most as many calories as routine #2.

For that, we have to find the inequality,

So, let us consider t is the number of minutes spent running.

So,

Routine #1 = 22 + 12.5t

Routine #2 = 43 + 8.3t

Here we know that, In Routine #1 to burn at most as many calories as Routine #2 means that Routine #1 would burn less than or equal to as many calories as Routine #2.

So your inequality should look like: Routine #1 <= Routine #2

That is

22 + 12.5t <= 43 + 8.3t

Now we have to solve the inequality,

12.5t - 8.3t <= 43 -22

4.2t <= 21

t <= 21/4.2

t <= 5

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Answer:

32.33 <= m

Step-by-step explanation:

Since we are dealing with below sea level our initial starting point and max level will both be negative values, while our descending rate will also be negative because we are going down. Using the values provided we can create the following inequality...

-400 <= -12m - 12

Now we can solve the inequality to find the max number of minutes that the submarine can descend.

-400 <= -12m - 12   ... add 12 on both sides

-388 <= -12m   ... divide both sides by -12

32.33 <= m

Answer:

-22 + -12 >(or equal to) -400.at most 31.5 minutes

Step-by-step explanation:

got it right on cpl

The expanded form of the expression (x+3)(x-3) is x² - 9

Given the expression;

(x+3)(x-3)

We multiply each term in the second bracket by each term in the first bracket

x(x-3) + 3(x-3)

x² - 3x + 3x - 9

x² - 9

Therefore, the expanded form of the expression (x+3)(x-3) is x² - 9.

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The following are the zeros for the function h (x) = x2 + 3x - 8: - x= -4 and x=2.

Given a collection of inputs X (domain) and a set of potential outputs Y (codomain), a function is more technically defined as a set of ordered pairings (x,y) where xX and yY with the caveat that there can only be one ordered pair with the same value of x. The function notation f:XY can be used to express that f is a function from X to Y.

The function's zero is a value of x that makes it equal to zero. In other words, the equation f(x) = 0 leads to a zero.

By putting h(x) equal to zero and figuring out x, we may determine the zeroes for the function h(x) = x2 + 3x - 8.

h(x) = x² + 3x - 8 = 0

We may factor the left side of the equation to find x:

x² + 3x - 8 = (x-2)(x+4) = 0

We set each factor to zero and solve for x to discover the zeroes:

x-2 = 0 or x+4 = 0

x = 2 or x = -4

Consequently, the function's zeros are x = 2 and x = -4.

So, A is the right response. x = -4 and x = 2

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The complete question is

What are the zeros of the function h (x) = x² + 3x - 8?

A. x = -4 and x = -2

B. x= -8 and x = 2

C. x = -2 and x = 8

D. x = 2 and x = 8

The average cost of an entree on a restaurant menu that is $15 describes the mean, not the median.

The mean is the average value of a data set.

To compute the average, the total value of the data set is divided by the number of items involved.

The average value or mean is the quotient of the total value and the number of data items.

On the other hand, the median describes the middle value of an ordered list of data values.

Thus, when an entree on a restaurant menu costs $15 on average, it is a description of the mean value and not the median.

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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model. The model assumes that the value of a stock is equal to the present value of all its expected future dividends.

First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17

Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40

Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65

Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92

Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.

The present value of the dividends can be calculated as follows:

PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n)

where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value:

PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)

PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5

PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59

PV ≈ $16.22

Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model.
The model assumes that the value of a stock is equal to the present value of all its expected future dividends. First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n) where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value: PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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Cutting 6-inch squares from each corner of a 20x12-inch tin sheet creates an open box with dimensions 8x0x6 inches.

By cutting 6-inch squares from each corner of a 20x12-inch tin sheet, you can create an open box.

The box's dimensions will be 8x0x6 inches. The width of 0 inches indicates that the tray has no width, resembling a line segment.

The explanation involves finding the maximum volume by taking the derivative of the volume function and setting it to zero.

The critical points are obtained by solving the resulting cubic equation, which yields two possible values: x = 10 and x = 6.

However, since x cannot exceed half the width or length of the sheet, the smaller value, x = 6 inches, is chosen.

Thus, the tray dimensions are determined, and it can be visualized as an open box with a length of 8 inches, no width, and a height of 6 inches.

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The probability distribution function that represents how long the pizza order taker takes is the norm(16.7, 3.03) seconds, which is a normal distribution with mean 16.7 and standard deviation 3.03 seconds.

The probability distribution function that represents how long the pizza order taker takes is the norm(16.7, 3.03) seconds.

What is a probability distribution function

A probability distribution function (PDF) is a formula used to describe a random variable's likelihood of occurring in a given range of values.

Continuous and discrete random variables can both be described using probability density functions (PDFs).

Probability distribution function for pizza order taker.

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Step-by-step explanation:

\(2 {v}^{2} + 14 = 104 \\ 2 {v}^{2} = 104 - 14 \\ 2 {v}^{2} = 90 \\ {v}^{2} = 90 \div 2 \\ {v}^{2} = 45 \\ v = \sqrt{45} \)

I will leave the answer in square root form as i am not sure if you need to round your answer or not.

Answer:

\(8v^{3} +27=(2v)^{3} +3^{3}=(2v+3)(4v^{2} -6v+9)\\\)

Step-by-step explanation:

from  formula a³ – b³ = (a – b) (a² + ab + b² )

Answer:

<1=134 degrees

<2=46 degrees

Step-by-step explanation:

Ans in attachment

hope it helps :)

plz mark as brainliest

Answer:

21 cups oil

14 cups soy sauce

7 cups orange juice

Step-by-step explanation:

Use 1 cup for 1 part. The original recipe as given with its small amounts would make a total of 3 + 2 + 1 = 6 parts, or 6 cups of sauce.

You want to make 42 cups.

42/6 = 7

The amount you want to make is 7 times the amounts in the ratio.

3 parts oil: 3 × 7 = 21: 21 cups oil

2 parts soy sauce: 2 × 7 = 14: 14 cups soy sauce

1 part orange juice: 1 × 7 = 7: 7 cups orange juice

Check: 21 + 14 + 7 = 42

The amounts above do make 42 cups in total.

Answer:

21 cups oil

14 cups soy sauce

7 cups orange juice

Answer:

9

Step-by-step explanation:

Answer:

Your answer is :

B. 6a^2 + 3ab

Markn my answer as brainlist . Follow me for more answer.

Step-by-step explanation:

Answer:

given, triangle XYZ in which m of angle X=34°

angle Z= 26°

now,angle Y =?

we have,

AngleX + angle Y+ angle Z = 180°

or, 34°+angle Y +26°=180°

or, angle Y= 180°-60°

therefore, angle Y =120°.

hope it helped..

Answer:

Triangle X Y Z is shown.

If m∠X = 34° and m∠Z = 26°, what is m∠Y?

Answer:

m∠Y = 120°

Step-by-step explanation:

I just took the test and got 100% on Edge2021

The red graph is the black graph reflected in the y axis, y = f(-x)

It's an odd way to write it, but the answer is:

Answer: D

An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.

Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.

In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.

To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.

In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.

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The lifting force if the speed is 220 miles per hour is F' = 708.53 N.

The force of light, or simply light, is the sum of all forces on an object that cause the object to move perpendicular to the direction of flow.

The most common type of lift is the wing lift. But there are many other common uses, such as propellers on airplanes and ships, rotors on helicopters, fan blades, sails on sailboats, and wind turbines.

We have,

The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's surface and the square of the plane's velocity, v. It, means that,

\(F=kAv^{2}\)

Where

k is constant

If, A = 190 Ft², v = 220 mph, F = 950 pounds

Now, find k first from the above data. So,

    \(k=\frac{F}{Av^{2} }\)

⇒ \(k=\frac{950}{190* (220)^2}\)

⇒ k = 0.0001033

It is required to find the lifting force on the wing if the plane slows down to 190 miles per hour.

Let F' is a new force. So,

    F' = 0.0001033 × 190 × (190)²

⇒ F' = 708.53 pounds.

So, the lifting force is 708.53 pounds if the plane slows down to 190 miles per hour.

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Answer:

1000

Step-by-step explanation:

volume of prism formula=b*w*h(base times width times height)

10*10*10(10^3)=1000

Answer: 1,000 m

Step-by-step explanation:

To find volume you have to multiply: LengthxWidth,Height so you would do 10x10x10 and get 1,000 m

HOPE THIS HELPS ^^

Step-by-step explanation:

can't see dat very well nkkigo

Based on the information given, it should be noted that the fraction to represent the distance will be 1 3/20 miles.

From the information given, it was stated that Marcy lives 1.15 miles away from her grandmother.

Therefore, the fraction that represents the distance between Marcy's house and her grandmother's will be:

= 1 + 15/100

= 1 + 3/20

= 1 3/20

Therefore, the fraction is 1 3/20.

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The total number of rankings is the product of the number of students at each step. Total number of different rankings possible = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 10! ≈ 3.6 × 10^6.

Given that an introductory statistics class has 4 freshmen and 6 sophomores. The students are ranked based on their performance. Therefore, it is required to find the number of different rankings possible. Step 1: Find the total number of students in the class. Total number of students in the class = number of freshmen + number of sophomores = 4 + 6 = 10Step 2: Find the number of ways to select the first-ranked student. There are 10 students to choose from for the first position. Therefore, the number of ways to select the first-ranked student is 10.Step 3: Find the number of ways to select the second-ranked student. There are 9 students remaining after selecting the first-ranked student. Therefore, the number of ways to select the second-ranked student is 9.Step 4: Find the number of ways to select the third-ranked student.There are 8 students remaining after selecting the first two-ranked students.

Therefore, the number of ways to select the third-ranked student is 8.Step 5: Continue the process until all students are ranked. The total number of rankings is the product of the number of students at each step.Total number of different rankings possible = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 10! ≈ 3.6 × 10^6.

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Answer:

4

Step-by-step explanation:

We can actually make the two equal each other like so:

3d-4=12d/6

Multiply both sides by 6:

18d-24=12d

Add 24 to both sides:

18d=12d+24

Subtract 12d from both sides:

6d=24

Divide by 6:

d=4

4

Answer: 4 ways of solving one-step equations are the following: Adding, Substracting, Multiplication and Division. If we add the same number to both sides of an equation, both sides will remain equal.

Step-by-step explanation:

Adding, Substracting, multiplication and division

We have four methods for solving one-step equations: adding, subtracting, multiplying, and dividing. Both sides of an equation will stay equal if we add the same integer to both sides. Both sides of an equation will stay equal if we deduct the same integer from both sides. To solve systems of equations, three approaches are used: graphing, substitution, and elimination.

Fong, Alissa. A system of equations is made up of two or more equations with the same variables. A solution to an equation system is the point at which the lines intersect. Graphing, substitution, elimination, and matrices are the four methods for solving systems of equations.

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The correct answer is A. The statement is false. If λ+5 is a factor of the characteristic polynomial of A, then −5 is an eigenvalue of A. In order for 5 to be an eigenvalue of A, the characteristic polynomial would need to have a factor of λ−5. This is because the eigenvalues of a matrix A are the roots of its characteristic polynomial, which is given by det(A-λI) where I is the identity matrix.

If λ+5 is a factor of the characteristic polynomial, then det(A-(λ+5)I)=0. This implies that A has an eigenvector corresponding to eigenvalue -(λ+5), which is -5 in this case. Therefore, 5 is not necessarily an eigenvalue of A. Moreover, the diagonal of A-λI contains the eigenvalues of A, not λ+5 as mentioned in option B. Option C is also incorrect because having λ+5 as a factor of the characteristic polynomial does not necessarily mean that λ=5 is a root of the polynomial. Option D is also incorrect because the factors of the characteristic polynomial are used to determine both the eigenvalues and eigenvectors of a matrix.

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The statement is false. If λ+5 is a factor of the characteristic polynomial of A, then it means that λ=-5 is an eigenvalue of A, not 5. This is because the characteristic polynomial is defined as det(A-λI), where I is the identity matrix and det is the determinant function. Setting λ+5 as a factor means that det(A-(-5)I) = 0, which implies that -5 is an eigenvalue of A.

Therefore, in order for 5 to be an eigenvalue of A, the characteristic polynomial would need to have a factor of λ-5, not λ+5. It is also important to note that while the characteristic polynomial is useful for determining both the eigenvalues and eigenvectors of a matrix, the factors of the polynomial only determine the eigenvalues, not the eigenvectors.

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\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{-6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-6}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{-4}-\underset{x_1}{(-3)}}} \implies \cfrac{-6 +4}{-4 +3} \implies \cfrac{ -2 }{ -1 } \implies 2\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{ 2}(x-\stackrel{x_1}{(-3)}) \implies y +4 = 2 ( x +3) \\\\\\ y+4=2x+6\implies {\Large \begin{array}{llll} y=2x+2 \end{array}}\)

The piecewise function for this problem is defined as follows:

A piecewise function is a function that has multiple definitions, based on the input of the function.

The function in this problem has two definitions, on the intervals given as follows:

For x < -4, the function is linear and decreasing, with a slope -2, hence:

y = -2x + b.

When x = -5, y = 0, hence the intercept b is given as follows:

0 = -2(-5) + b

b = -10.

Hence:

y = -2x - 10, x < -4.

For x > 4, the function is constant at y = 4, hence:

y = 4, x > 4.

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Answer:

Step-by-step explanation:

If Winco buys 3 candies for $0.99 and each candy costs $0.33

If he buys 4 candies at $1.25 then each candy costs $0.31

Therefore the latter is a better choice.