Jack bought 7 tickets to a movie he paid $7 for each adult ticket and and $4 for each child ticket jack spent $ 40 for the tickets how many tickets did jack buy

Answer:

20 donuts divided into 4 boxes would have 5 donuts per box.

Step-by-step explanation:

20/4 = 5

Answer:

5 donuts per box

Step-by-step explanation:

Hope this helps

We can use the limit definition of convergence to determine whether the sequence {an} converges or not. The limit definition of convergence states that a sequence {an} converges to a limit L if, for any ε > 0, there exists a positive integer N such that for all n > N, |an - L| < ε.

Let's analyze each option:

The sequence diverges: This could be the case if we find that the limit does not exist or is infinity. To prove that, we need to find another limit that contradicts each proposed limit.

Limit = e^10/33: Let's find the limit of the sequence using the exponential limit law.

Lim (1 - 5/6n)^(4n)

= [lim (1 - 5/6n)^(6n/5)]^(4/6)

= [e^(-5/6)]^(2/3)

= e^(-10/9)

Therefore, the limit of the sequence is e^(-10/9) which is not equal to e^(10/33). Hence, this option is incorrect.

Limit = e^ 5/6: Let's find the limit of the sequence using the exponential limit law.

Lim (1 - 5/6n)^(4n)

= [lim (1 - 5/6n)^(6n/5)]^(4/6)

= [e^(-5/6)]^(2/3)

= e^(-10/9)

Therefore, the limit of the sequence is e^(-10/9) which is not equal to e^(5/6). Hence, this option is incorrect.

Limit = e^-10/3: Let's find the limit of the sequence using the exponential limit law.

Lim (1 - 5/6n)^(4n)

= [lim (1 - 5/6n)^(6n/5)]^(4/6)

= [e^(-5/6)]^(2/3)

= e^(-10/9)

Therefore, the limit of the sequence is e^(-10/9) which is equal to e^(-10/3). Hence, this option is correct.

Therefore, the sequence {an} converges to the limit e^(-10/9) when an = (1 - 5/6n)^(4n).

For more questions like sequence converges and diverges, visit the link below:

https://brainly.com/question/30889536

#SPJ11

Answer:

65

Step-by-step explanation:

8(5) + 25 = 65

We plugged in 5 for c since we know its value.

Answer:

65

Step-by-step explanation:

8x5=40 25+40=65

I hope this helps, and have a nice day!

The length of the rectangle is \(8x^2y^3\) inches when  the area of the rectangle is \(48x^3y^5\) square inches.

To find the length of the rectangle, we can use the formula for the area of a rectangle, which is:

Area = length x width

We are given that the area of the rectangle is \(48x^3y^5\) square inches, and its width is \(6xy^2\) inches. Therefore, we can substitute these values into the formula to get:

\(48x^3y^5 = length * 6xy^2\)

Simplifying this equation, we can cancel out the common factors of 6x and \(y^2\) on both sides to get:

\(8x^2y^3 = length\)

Therefore, the length of the rectangle is \(8x^2y^3\) inches.

To verify our answer, we can substitute the length and width back into the formula for the area of a rectangle and check if it matches the given area:

Area = length x width = \((8x^2y^3) * (6xy^2) = 48x^3y^5\)

Since this matches the given area, we can be confident that our answer is correct. Therefore, the length of the rectangle is \(8x^2y^3\) inches.

Learn more about area :

https://brainly.com/question/11952845

#SPJ4

Answer: [b + 4 = -10]

Step-by-step explanation: We are given the equation b = -14 and told to, given this information, evaluate b + 4 = ? and find ?. Given b = -14 we can plug in -14 for b in b + 4 = ?. This gives us -14 + 4 = ?. Adding this up gives us the answer of -10. Hope that this makes sense and helps, and good afternoon to you!

-Show work-

\(b=-14\\(b)+4=?\)

\((-14)+4=?\)

\(10 = ?\\?=10\)

Answer:100c+5300<26500

Step-by-step explanation:

We are required to find the greatest number of 100-kilogram crates that can be loaded onto the shipping container

The the greatest number of 100-kilogram crates that can be loaded onto the shipping container is 212 crates

Greatest weight that can be loaded = 26500 kilograms

Weight of each crate = 100 kilogram

Weight of other shipment = 5300 kilograms

let

c = the greatest number of 100-kilogram crates that can be loaded

The inequality is

26500 ≥ 5300 + 100c

26500 - 5300 ≥ 100c

21200 ≥ 100c

c ≥ 21200 / 100

c ≥ 212

https://brainly.com/question/20898112

With the coordinates of the vertices of triangle ABC at A(-1, 3), B(-5, -1), C(3, -1), we have;

Taking the vertices of ∆ABC as found in a similar question online as A(-1, 3), B(-5, -1), C(3, -1), calculating the lengths of the sides of the triangle gives;

AB = √((-1 - (-5))² + (3 - (-1))²) = 4•√2

AC = √((-1 - 3)² + (3 - (-1))²) = 4•√2

BC = √((-5 - 3)² + (-1 - (-1))²) = 8

AB = AC = 4•√2

(AB)² + (AC)² = (4•√2)² + (4•√2)² = 64 = (BC)²

Therefore;

(BC)² = (AB)² + (AC)²

Which indicates that triangle ABC is an isosceles right triangle.

Learn more about the types of triangles here:

https://brainly.com/question/1058720

#SPJ1

The answer obtained from multiplying the measurements 64.49 and 6.57 is 423.70.

According to the rules governing significant figures, the result of a multiplication or division should have the same number of significant figures as the measurement with the fewest significant figures.

In this case, both measurements, 64.49 and 6.57, have four significant figures each. When multiplied together, the result is 423.6993. However, since the measurement 6.57 has the fewest significant figures, the final answer should be rounded to match that.

Therefore, the answer is rounded to three decimal places, resulting in 423.700. The zero at the end is included to indicate that the measurement is known to that level of precision.

Hence, considering the rules of significant figures, the answer obtained from multiplying the measurements 64.49 and 6.57 is 423.700.

Visit here to learn more about division:

brainly.com/question/2684764

#SPJ11

The solution of the equation is x=3 or x=-5.

Given that the equation is (x+2)²-2(x-+2)-15=0 and use u substitution method to solve.

Let's assume that the (x+2)=u.

The given equation is rewritten as u²-2u-15=0.

Factorize the quadratic equation by adding or subtracting two number that gives the sum of -2u and product 15u² as

u²-5u+3u-15=0

u(u-5)+3(u-5)=0

Taking out (u-5) as common and get

(u-5)(u+3)=0

Compare each equation with 0 and get

u-5=0 or u+3=0

u=5 or u=-3

Performing back substitution by substituting the values of u in x+2

when u=5 then x is

x+2=5

x=3

And when u=-3 then x is

x+2=-3

x=-5

Hence, the solutions of the (x+2)²-2(x-+2)-15=0 is x=3 and x=-5.

Learn about the substitution here brainly.com/question/12802700

#SPJ4

Answer:X=-5 and X=3

Step-by-step explanation:

The Golden Rule Test suggests that the decision embodies the principles of empathy and fairness, treating others as one would want to be treated. The Publicity Test indicates that the decision has been well received and is aligned with public expectations.

- The Publicity Test is designed to assess whether the decision or action can withstand public scrutiny and be disclosed openly.

- I score this test an 8 because the decision or action in question has already been made public and received positive feedback from various stakeholders.

- The organization has been transparent in its communication, engaging with the public and addressing concerns promptly.

- The decision aligns with the organization's values and mission, which resonates positively with the public.

- The organization has effectively managed any potential negative publicity by proactively addressing criticisms and providing clear justifications for the decision.

- Overall, the Publicity Test indicates that the decision has been well received and is aligned with public expectations.

The Moral Mentor Test Score: 6

- The Moral Mentor Test evaluates the decision or action by considering whether it reflects the guidance of a wise and ethical mentor.

- I score this test a 6 because while the decision is generally ethical, there are some potential ethical dilemmas that need to be carefully addressed.

- The decision has considered the welfare of various stakeholders and adheres to legal and regulatory frameworks.

- However, there might be some moral complexities associated with certain aspects of the decision that need further evaluation.

- It is important for the organization to seek guidance from ethical experts and consider potential long-term consequences to ensure the decision aligns with the principles of a moral mentor.

- Overall, the Moral Mentor Test suggests that the decision is on the right track but requires careful ethical analysis and considerations.

The Admired Observer Test Score: 9

- The Admired Observer Test assesses whether the decision or action would be approved by an admired and objective observer.

- I score this test a 9 because the decision demonstrates a high level of integrity and is likely to be approved by an objective observer.

- The decision is aligned with industry best practices and follows ethical guidelines.

- It takes into account the interests of various stakeholders and aims to maximize positive outcomes for all parties involved.

- The decision is well-reasoned, considering both short-term and long-term implications.

- Overall, the Admired Observer Test indicates that the decision is commendable and likely to be seen as fair and ethical by an objective observer.

The Transparency Test Score: 7

- The Transparency Test evaluates whether the decision-making process is transparent and accountable.

- I score this test a 7 because while the decision-making process has been relatively transparent, there is room for improvement.

- The organization has provided some level of information and rationale behind the decision, but there may be areas where more transparency is required.

- It is essential for the organization to proactively communicate the decision, its underlying factors, and potential impacts to ensure stakeholders have a clear understanding.

- Increasing transparency can help build trust and mitigate any potential misunderstandings or mistrust.

- The Person in the Mirror Test assesses whether the decision or action aligns with the individual's values and principles.

- I score this test an 8 because the decision demonstrates alignment with the individual's values and principles.

- The decision-maker has considered the ethical implications and personal integrity while making the decision.

- The decision reflects a commitment to fairness, honesty, and accountability.

I score this test a 9 because the decision demonstrates a high level of empathy and fairness towards others.

- The decision considers the interests and well-being of various stakeholders, treating them with respect and dignity.

- It reflects a commitment to fairness, equality, and reciprocity in relationships.

- The organization has taken steps to ensure that the decision does not cause harm or disproportionately benefit any specific group.

- Overall, the Golden Rule Test suggests that the decision embodies the principles of empathy and fairness, treating others as one would want to be treated.

Learn more about empathy here

https://brainly.com/question/20047598

#SPJ11

The probability of exactly three bulbs being replaced before the end of March is approximately 0.0126 or 1.26%.

To solve this problem, we need to use the exponential distribution formula:
f(x) = (1/β) * e^(-x/β)
where β is the mean and x is the time period.
In this case, β = 6 months, and we need to find the probability of exactly three bulbs being replaced before the end of March, which is three months from New Year's Eve.
So, we need to find the probability of three bulbs being replaced within three months, which can be calculated as follows:
P(X = 3) = (1/6)^3 * e^(-3/6)
         = (1/216) * e^(-0.5)
         ≈ 0.011
Therefore, the probability that exactly three bulbs will be replaced before the end of March is approximately 0.011.
To answer this question, we will use the Poisson distribution since it deals with the number of events (in this case, lightbulb replacements) occurring within a fixed interval (the time until the end of March). The terms used in this answer include exponential lifetime, mean, Poisson distribution, and probability.
The mean lifetime of the lightbulb is 6 months, so the rate parameter (λ) for the Poisson distribution is the number of events per fixed interval. In this case, the interval of interest is the time until the end of March, which is 3 months.
Since the mean lifetime of the bulb is 6 months, the average number of bulb replacements in 3 months would be (3/6) = 0.5.
Using the Poisson probability mass function, we can calculate the probability of exactly three bulbs being replaced (k = 3) in the 3-month period:
P(X=k) = (e^(-λ) * (λ^k)) / k!
P(X=3) = (e^(-0.5) * (0.5^3)) / 3!
P(X=3) = (0.6065 * 0.125) / 6
P(X=3) = 0.0126
So the probability of exactly three bulbs being replaced before the end of March is approximately 0.0126 or 1.26%.

To learn more about probability, click here:

brainly.com/question/30034780

#SPJ11

The statement 3 more than 7 means, a number is 3 more than a given number. Since here the number is 7 so the required number will be 7+3= 10

In numerical more than simply refers to adding and less than refers to subtracting. If it is given that a number let's say Z is Y more than X then the value will be Z= X+Y

If a given number let's say Z is Y less than X then the value of Z will be

Z=X-Y

More than means add which gives us a bigger value. Less than means subtract which gives us a smaller value

So, 3 more than 7 means 7+3 = 10

Learn more about adding:

https://brainly.com/question/3255453

#SPJ4

To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

To know more about depreciation, refer here:

https://brainly.com/question/30531944

#SPJ11

The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

learn more about gain here:

https://brainly.com/question/31218742

#SPJ11

The first term of the infinite geometric series is 625.Let's dive deeper into the explanation.

We are given that the sum of the infinite geometric series is \(\( \frac{15625}{24} \)\)and the common ratio is\(\( \frac{1}{25} \).\)The formula for the sum of an infinite geometric series is \(\( S = \frac{a}{1 - r} \)\), where \( a \) is the first term and \( r \) is the common ratio.
Substituting the given values into the formula, we have \(\( \frac{15625}{24} = \frac{a}{1 - \frac{1}{25}} \).\)To find the value of \( a \), we need to isolate it on one side of the equation.
To do this, we can simplify the denominator on the right-hand side.\(\( 1 - \frac{1}{25} = \frac{25}{25} - \frac{1}{25} = \frac{24}{25} \).\)
Now, we have \(\( \frac{15625}{24} = \frac{a}{\frac{24}{25}} \).\) To divide by a fraction, we multiply by its reciprocal. So, we can rewrite the equation as \( \frac{15625}{24} \times\(\frac{25}{24} = a \).\)
Simplifying the right-hand side of the equation, we get \(\( \frac{625}{1} = a \).\)Therefore, the first term of the infinite geometric series is 625.
In conclusion, the first term of the given infinite geometric series is 625, which corresponds to option (a).



learn more about geometric series here here

https://brainly.com/question/30264021



#SPJ11

Answer:

B) Obtuse scalene

Step-by-step explanation:

Angle of 122 > 90 so it's obtuse

7.3≠2.9≠5.3 so it's scalene

Answer:

b

Step-by-step explanation:

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z (-_-)

This procedure demonstrates that there is room between matter particles. The existence of salt ions is indicated by their accommodation in water.

1. When salt is dissolved in water, the chemical bond between the salt atoms is broken by the water molecule.

2. When a teaspoon of salt is added to water, the salt molecules fill any open places in the water. Since water is a fluid with atoms that may move around freely, when salt is dissolved in it, these open spaces are filled, making salt particles invisible.

3. The resulting solution becomes denser. The mass of the solution increases when salt is added to water. As a result, the solution's density rises.

4. This procedure demonstrates that there is room between matter particles. The existence of salt ions is indicated by their accommodation in water.

To learn more about chemical bond:

https://brainly.com/question/12907148

#SPJ4

The equation represents the general form a circle with a center at

(–2, –3) and a diameter of 8 units is,

\(x^{2} +4x+y^{2} +6y-3=0\)

Given that,circle with a center at (–2, –3)

diameter of circle is  8 units

To find

the equation of the circle that represents the general form of a circle with a center at (–2, –3) and a diameter of 8 units.

Radius of the Circle is,

The diameter of the circle is 8 units. therefore,

\(radius=\frac{d}{2}=\frac{8}{2} =4\)

Equation of a circle

The equation of the circle that represents the general form of a circle with a center at (–2, –3) and a radius of 4 units.

\((x-h)^{2} +(y-k)^{2} =R^{2}\)

Substituting the values,

\((x-(-2))^{2} + (y-(-3))^{2} =4^{2}\)

\((x+2)^{2} + (y+3)^{2} =4^{2}\\\)

\(x^{2} +4x+4+y^{2} +6y+9=0\)

\(x^{2} +4x+y^{2} +6y-3=0\)

Therefore, the option C is correct.

The equation represents the general form a circle with a center at

(–2, –3) and a diameter of 8 units is

\(x^{2} +4x+y^{2} +6y-3=0\)

To learn more about the general form of circle visit:

https://brainly.com/question/3612143

sumation

-

-2/5 + 3/2  → lcd (2,5) = 10

= -4/10 + 15/10

= (-4 + 15) / 10

= 11/10

___

Answer:

-2 over 5 = -32

3 over 2 = 9

-32 + 9 = - 23

When testing the claim that σ21≠σ22, the null hypothesis states that the variances of the two populations are equal, while the alternative hypothesis states that the variances are not equal. To test this claim, we use an F-test, which involves calculating the ratio of the variances of the two samples.

If the test statistic is f=1, this means that the ratio of the variances is equal to 1. This indicates that there is no significant difference between the variances of the two populations. In other words, we cannot reject the null hypothesis that the variances are equal.
However, it is important to note that a test statistic of f=1 does not necessarily mean that the two samples are identical. It is possible for two samples to have slightly different variances that still result in a test statistic of f=1. Additionally, a sample size that is too small or too large can affect the accuracy of the F-test.
Overall, if the test statistic is f=1 when testing the claim that σ21≠σ22, we can conclude that there is not enough evidence to support the alternative hypothesis that the variances are different.

To learn more about the null hypothesis, refer:-

https://brainly.com/question/28920252

#SPJ11

The most goals the team scored in a game is 8

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

The box plot

The most goals the team scored in a game is the maximum of the box plot

From the box plot, we have

Maximum = 8

Using the above as a guide, we have the following:

Most goal = 8

Hence, the most goal is 8

Read more about boxplot at

https://brainly.com/question/3473797

#SPJ1

Answer:

165

Step-by-step explanation:

First we need to find the area of the field, A = r^2 * pi

The radius is 290 / 2 = 145 feet

A = 145 * 145 * 3.14 = 66018.5 sqr feet

One bag covers 400 sqr feet

Divide the Area by 400 sqr feet to find number of bags needed.

66018.5 / 400 = 165

He will need at least 165 bags to cover the field

The variable x and y is the number of USCF licensed riders and junior racers respectively and the system of the equation is x + y = 321 and 25x + 15y = 6935.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Suppose the number of USCF licensed riders is x and junior racers are y.

Total riders = x + y

x + y = 321

The total cost of USCF licensed = number of USCF licensed × cost per racer

⇒ x × 25 = 25x

Similarly, the total cost of junior licensed = 15y

Total income = 25x + 15x

25x + 15y = 6935

Hence "The variable x and y is the number of USCF licensed riders and junior racers respectively and the system of the equation is x + y = 321 and 25x + 15y = 6935".

For more about the equation,

https://brainly.com/question/10413253

#SPJ5

Answer:

There could be a total of 63 vehicles, 35 cars and 28 trucks

Answer:

28 trucks

35 cars

63 total cars and trucks

Step-by-step explanation:

trucks : cars

4 : 5

Use a proportion.

x/4 = 35/5

x/4 = 7

x = 28

28 trucks

35 cars

63 total cars and trucks

The inverse of the given function is y = (12-x)/6

Given the following function expressed as:

f(x) = -6x +1/2

Replace y with x

x = -6y + 1/2

Make y the subject of the formula

6y = -x + 12

y = (12-x)/6

Hence the inverse of the given function is y = (12-x)/6

Learn more on inverse of function here: https://brainly.com/question/2873333

#SPJ1

Answer:

x = 2

KJ = 12

KI = 23

Step-by-step explanation:

KJ + JI = 12x - 1

5x + 2 + 11 = 12x - 1

5x + 13 = 12x - 1

5x - 12 x = - 1 - 13

-7x = - 14

x = - 14/-7

x = 2

KJ = 5x + 2 = 5*2 + 2 = 10 + 2

KJ = 12

KI = 12 + 11

KI = 23

Answer:

$12.55

Step-by-step explanation:

Multiply 1.86 x 3 = 5.58

3.27 x 2 = 6.54

6.54+ 5.58 =12.12

12.12 + 0.43 = 12.55

$12.55

Rounded to the nearest inch, the length of the diagonal of the desktop screen is approximately 23 inches.

To find the length of the diagonal of the desktop screen, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Given:

One side of the desktop screen = 14 inches

The other side of the desktop screen = 18 inches

Let's denote the length of the diagonal as d.

Using the Pythagorean theorem, we have:

d² = 14² + 18²

d² = 196 + 324

d² = 520

Taking the square root of both sides to solve for d:

d ≈ √520

d ≈ 22.803

To know more about diagonal,

https://brainly.com/question/29117528

#SPJ11

Answer: its b for you

\(y = -\frac{5}{3} x-5\)

Step-by-step explanation: hope this helps :)

y = \(Ce^(^3^a^(^t^a^n^(^x^)^ -^ ^x^)^)\), where C is a constant.

To find the solution of the given differential equation, we can start by separating variables and integrating both sides.

First, we rearrange the equation to have y' on one side: y' tan(x) = 3a y. Then, we separate the variables by dividing both sides by y and multiplying by dx to obtain (1/y)dy = 3a tan(x) dx.

Next, we integrate both sides with respect to their respective variables. The integral of (1/y)dy gives us ln|y| + C1, where C1 is the constant of integration. The integral of 3a tan(x) dx can be solved using the substitution u = tan(x), which gives us du = \(sec^2^(^x^)\) dx. Substituting back, the integral becomes ∫3a du = 3a u + C2, where C2 is another constant of integration.

Now, we can combine the results and simplify the equation. ln|y| + C1 = 3a tan(x) + C2. By rearranging the equation, we get ln|y| = 3a tan(x) + C3, where C3 = C2 - C1.

Finally, we can eliminate the absolute value by exponentiating both sides of the equation. This gives us |y| =\(e^(^3^a^ t^a^n^(^x^) ^+ ^C^3^)\), which can be further simplified to y = ± \(e^(^3^a ^ t^a^n^(^x^)^ +^ C^3^)\). Since we are given the initial condition y(π/3) = 3a, we substitute this value into the equation to determine the appropriate sign and find the constant C.

Therefore, the solution to the given differential equation with the initial condition is y = 3a \(e^(^3^a^(^t^a^n^(^x^) ^- ^x^)^)\).

Learn more about differential equation

brainly.com/question/32524608

#SPJ11

They gave a graph. All you got to do is find where x = 2 which is 0. I think. Did they give you a function? Or is there just a graph?