A cargo ship traveled 150 miles in 6 hours at a constant speed. How far did the cargo ship trave in 1 hour?

Let x be the number of adult tickets sold and y be the number of kids tickets sold. According to the problem statement, the admission fee to the Warren theater is $7.50 for adults and $6.50 for kids at the 1:30pm showing of Spider-Man:  

Since the theater sold out of all 600 tickets and a total of $4350.00 was collected at the box office, we can write the following equations: Equation 1: x + y = 600 [The total number of tickets sold is 600].

Equation 2: 7.5x + 6.5y = 4350 [The total revenue collected at the box office is $4350.00]

Now, we need to solve the system of equations given by Equations 1 and 2. To do this, we can multiply Equation 1 by -6.5 and add it to Equation

Therefore, the number of adult tickets sold is x = 450. We can now use Equation 1 to find the number of kids tickets sold   :y = 600 - x = 600 - 450 = 150       Therefore, the number of kids tickets sold is y = 150.

Hence, the Warren theater sold 450 adult tickets and 150 kids tickets during the 1:30pm showing of Spider-Man: No Way Home.

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Answer: each pencil would cost 0.36¢

Step-by-step explanation: first, divide 12.82 by 36 to get the unit rate. The answer should be 0.356111111. Now round that to the nearest cent. 0.356111111~0.36

Answer:

Each pencil is worth 36 cents

Step-by-step explanation:

To do the problem we have to find the unit price which is \(Total Price/Total Units\)

Once you have that round the answer then the answer is 0.36

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The ratio of the volume of sphere B to the volume of sphere A is 125. Option C is correct.

The volume of a sphere is given by the formula V = (4/3)πr³, where V is the volume of the sphere, r is the radius of the sphere, and π (pi) is a mathematical constant.

Let the radius of sphere A be r, then the radius of sphere B is 5r.

The volume of sphere A is V_A = (4/3)πr³.

The volume of sphere B is V_B = (4/3)π(5r)^3 = (4/3)π125r³.

The ratio of the volume of sphere B to the volume of sphere A is V_B/V_A

= [(4/3)π125r³]/[(4/3)πr³]

= 125.

Hence, C. 125 is the correct option.

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Answer:

X = 7/15

Step-by-step explanation:

If you need the steps, please ask. ^^

To determine whether the sequence {an} = 5n/4n + 1 is convergent or divergent, we can analyze its behavior as n approaches infinity.

First, let's rewrite the expression for the nth term of the sequence:

an = 5n / (4n + 1)

As n approaches infinity, the denominator 4n + 1 becomes dominant compared to the numerator 5n. Therefore, we can simplify the expression by neglecting the term 5n:

an ≈ n / (4n + 1)

Now, we can consider the limit of the sequence as n approaches infinity:

lim(n→∞) n / (4n + 1)

To evaluate this limit, we can divide both the numerator and denominator by n:

lim(n→∞) (1 / 4 + 1/n)

As n approaches infinity, the term 1/n approaches zero, leaving us with:

lim(n→∞) 1 / 4 = 1/4

Since the limit of the sequence is a finite value (1/4), we can conclude that the sequence {an} = 5n/4n + 1 is convergent.

In other words, as n gets larger and larger, the terms of the sequence {an} get closer and closer to the limit of 1/4. This indicates that the sequence approaches a fixed value and does not exhibit wild oscillations or diverge to infinity. Therefore, we can say that the sequence is convergent.

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Answer:

a

Step-by-step explanation:

just did it

We are given a matrix A and a scalar λ and asked to show that λ is an eigenvalue of the matrix and determine a basis for its eigenspace.

To determine if λ is an eigenvalue of matrix A, we need to check if there exists a non-zero vector v such that Av = λv. In other words, if multiplying matrix A by vector v results in a scaled version of v. Given the matrix A = [6, 9; -10, 63] and scalar λ = 5, we can find the eigenvectors by solving the equation (A - λI)v = 0, where I is the identity matrix. Substituting the values, we have: [6-5, 9; -10, 63-5]v = 0. Simplifying the equation, we get: [1, 9; -10, 58]v = 0. Solving the system of linear equations, we can find the eigenvectors v corresponding to the eigenvalue λ = 5.

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Answer: 1

Step-by-step explanation:

25+23=48

48=73+25Y

-73        = -25

divide = 1

The  country's motivation for creating a single-party government is to promote unity.

A single party state can be defined as the state in which only one single political party  win an election after contesting  for an election and this party is the only party that will rule or dominate the state which is this type of party system is called dominant state compare to multi-party system in which two or more political parties are allow to contest for an election.

A country's motivation for creating a single-party government is that the countries may want to promote peace and unity among people.

The reason a country would  want to limit the number of parties in its system is that the country may want a unified set of goals and procedures for the country's future.

Therefore The  country's motivation for creating a single-party government is to promote unity.

The complete question is:

North Korea, China, and Cuba are modern examples of governments that legally or practically permit only one political party. In single-party states, other parties and their points of view are prohibited or discouraged.

Write a short paragraph discussing a country's motivation for creating a single-party government. Why would a country want to limit the number of parties in its system?

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Answer:

i got -2 4/25

Step-by-step explanation:

i think i might be wrong

Answer:

the answer is the 1st its a positive and if not then its the 2nd one

Step-by-step explanation:

The work done in pulling the rope up 20 ft is 101.43 ft-lbs.

To find the work done in pulling the rope up 20 ft, we need to first determine the initial potential energy of the rope before it is lifted up. We can do this using the formula:

Potential Energy = weight * height

where weight is the weight of the rope and height is the distance the rope is hanging from.

Given:

Length of the rope (L) = 70 ft

Weight of the rope (Wt) = 49 lbs

Height of the building (H) = 100 ft

Height to which the rope is lifted (h) = 20 ft

Using the Pythagorean theorem, we can find the distance (d) the rope is hanging from the building:

d^2 = H^2 + L^2

d^2 = 100^2 + 70^2

d^2 = 10000 + 4900

d^2 = 14900

d = \(\sqrt{14900}\)

d = 122.07 ft

Now we can find the initial potential energy of the rope:

Potential Energy = Wt * d

Potential Energy = 49 * 122.02

Potential Energy = 5981.43 ft-lbs

Next, we need to find the final potential energy of the rope after it is lifted up 20 ft. The height to which the rope is lifted is (H + h) = 100 + 20 = 120 ft. Using the same formula as before, we get:

Final Potential Energy = Wt * (H + h)

Final Potential Energy = 49 * 120

Final Potential Energy = 5880 ft-lbs

Finally, we can find the work done in lifting the rope up 20 ft:

Work Done = Initial Potential Energy - Final Potential Energy

Work Done = 5981.43 - 5880

Work Done = 101.43 ft-lbs

Therefore, the work done in pulling the rope up 20 ft is 101.43 ft-lbs.

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Answer:

39 degrees

Step-by-step explanation:

It is shown that there is a 90 degree angle one part is given so 90-51=39 degrees.

Answer:

b = 39°

Step-by-step explanation:

The box means that it is a right angle and a right angle means it is 90 degrees.

90 degrees - 51 degrees = 39 degrees

b = 39°

Answer:0.375

Step-by-step explanation:

3/4=0.75

0.75/2=0.375

(3/4)/2=0.375

The statement "The height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is 1/(a-b)" is False.

In a uniform distribution, the probability density function (PDF) is constant within the interval [a, b]. The height of the PDF represents the density of the probability distribution at any given point within the interval. Since the PDF is constant, the height remains the same throughout the interval.

To determine the height of the PDF, we need to consider the interval length. In a uniform distribution defined on the interval [a, b], the height of the PDF is 1/(b - a) for the PDF to integrate to 1 over the entire interval. This means that the total area under the PDF curve is equal to 1, representing the total probability within the interval [a, b].

Therefore, the correct statement is that the height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is not 1/(a - b), but rather it is a constant value necessary for the PDF to integrate to 1 over the interval, i.e., 1/(b - a).

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A quadrilateral is a four sided figure. It is possible to decompose the quadrilaterals to give two triangles by taking apart the diagonal that runs across the figure

A quadrilateral is a four sided figure. The images are not shown here so we don't know what the dimensionof each figure is.

It is possible to decompose the quadrilaterals to give two triangles by taking apart the diagonal that runs across the figure and find the area of the two triangles in order to obtain the area of the orginal figure.

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The recommendations in parts (a) and (b) are not consistent. This is the best example of Simpson’s Paradox.

(a) Allison Feeley's junior year batting average: 15/40 = 0.375 Emily Janson's junior year batting average: 71/201 = 0.353 Allison Feeley's senior year batting average: 76/251 = 0.302 Emily Janson's senior year batting average: 35/120 = 0.292

Using this analysis, Allison Feeley should be awarded the scholarship, as she has the higher batting average in both her junior and senior years.

(b) Outcome: Player | Hit | No Hit | Total At-Bats Fealey | 91 | 200 | 291 Janson | 106 | 215 | 321

Allison Fealey's combined two years batting average: 91/291 = 0.313 Emily Janson's combined two years batting average: 106/321 = 0.331

Using this analysis, Emily Janson should be awarded the scholarship, as she has the higher batting average over the combined junior and senior years.

(c) The recommendations in parts (a) and (b) are not consistent. This is an example of Simpson's Paradox, it shows that in interpreting the results based upon separate or un-aggregated crosstabulations, the conclusion can be different when the crosstabulations are grouped or aggregated.

Therefore, [a] and [b] are not consistent according to Simpson’s Paradox.

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The recommendations in parts (a) and (b) are not consistent. This is the best example of Simpson’s Paradox.

a) Allison Feeley's junior year batting average: 15/40 = 0.375 Emily Janson's junior year batting average: 71/201 = 0.353 Allison Feeley's senior year batting average: 76/251 = 0.302 Emily Janson's senior year batting average: 35/120 = 0.292

Using this analysis, Allison Feeley should be awarded the scholarship, as she has the higher batting average in both her junior and senior years.

(b) Outcome: Player | Hit | No Hit | Total At-Bats Fealey | 91 | 200 | 291 Janson | 106 | 215 | 321

Allison Fealey's combined two years batting average: 91/291 = 0.313 Emily Janson's combined two years batting average: 106/321 = 0.331

Using this analysis, Emily Janson should be awarded the scholarship, as she has the higher batting average over the combined junior and senior years.

(c) The recommendations in parts (a) and (b) are not consistent. This is an example of Simpson's Paradox, it shows that in interpreting the results based upon separate or un-aggregated crosstabulations, the conclusion can be different when the crosstabulations are grouped or aggregated.

Therefore, [a] and [b] are not consistent according to Simpson’s Paradox.

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Answer:

C orB looks like it

Step-by-step explanation:

Part b.

In this case, the money is compounded quarterly, this means that n=4 (4 times per year). So, by substrituting the given values into the compound interes formula, wer have

which gives:

Answer:

Nice.

Step-by-step explanation:

This means he has a 28 pound Block

Answer:

  x = log(33)/(3·log(2))

Step-by-step explanation:

The relevant logarithm relation is ...

  log(a^b) = b·log(a)

__

Taking the logarithm of both sides of your equation gives ...

  2^(3x) = 33

  log(2^(3x)) = log(33)

  (3x)·log(2) = log(33)

The coefficient of x is 3·log(2). Dividing by that gives the value of x:

  x = log(33)/(3·log(2))

  x ≈ 1.51851/(3·0.301030) ≈ 1.6814647

Answer:

Step-by-step explanation:

You want to know the price per bushel for wheat, corn, and rye, given the sales ...

Using x, y, and z for price per bushel of wheat, corn, and rye, respectively, the given sales tell us ...

The easiest way to solve a system of equations like this is to make use of the matrix manipulation capabilities of a calculator. The attached calculator display shows the reduction of the augmented matrix of coefficients to "reduced row-echelon form". That puts the solution in the last column:

  x = y = 3.61, z = 1.91

The price per bushel for wheat and corn is the same: $3.61; the price per bushel for rye is $1.91.

__

Additional comment

The second attachment shows a solution using a graphing calculator. In this solution, an expression for z based on the first equation is used in the remaining two equations, which then tell us the values of x and y.

If you add all of the equations, you get 10x +10y +10z = 91.30, which gives you ...

  x + y + z = 9.13

This can be solved for any variable you may want to substitute into any pair of the equations. This approach avoids any messy fractions.

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Answer:

Yes you did all correct i am sure

Step-by-step explanation:

Area of the square:

a^2: 4^2=16in^2

Area of the circle:

πr^2: π(4.5)^2= 63.6

Area of white part:

63.6 - 16 = 47.6

Probability of landing on square:

16/63.6 = 0.25

Probability of landing on white part:

63.6/16 = 3.975

The solution of the given expression will be ( 2.4 x 10⁸ ).

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that 2 x 10⁸ = 20 × 10⁷. The sum of the two exponential numbers will be calculated as:-

Sum = 2 x 10⁸  + ( 4 x  10⁷ )

Sum = 20 x  10⁷ + ( 4 x  10⁷ )

Sum = ( 20 + 4 ) x  10⁷

Sum  = 24 x  10⁷

Sum = 2.4 x 10⁸

Therefore, the solution of the given expression will be ( 24 x 10⁷ ).

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Answer:

Step-by-step explanation:

If a wedding cake was cut into 30 slices and 24 of the 30 slices were ate, the fraction that represents the eaten portion of the cake is 24/30.  24/30 can be simplified if we divide both 24 and 30 by two we get 12/15 but this can still be simplified.  We can then divide both numbers by 3 to get 4/5.  4/5 can not be simplified any more.

P = 45230(1 + 0.02) is an equation that describes the population t years after 2010.

The curve of an exponential function is produced by an exponential growth pattern of data, which shows increasing rises over time.

When an is the beginning population, r is the rate expressed in decimals, and sx is the time period, y = a(1+r) x.

Given: Little town's population is increasing exponentially at a pace of 2% and was 45,230 in 2010.

Y = a(1+r)x, where a represents the beginning population, r represents the rate in decimals, and x represents the time period

Therefore, P = 45230(1 + 0.02)

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Answer: p=45,230(1+0.02)^t

Step-by-step explanation: I think :)

Both statements can be included in the exact numbers category.

Maple provides two kinds of numbers: exact and inexact. If you do arithmetic with exact numbers (and they aren't too large) the answer that you get back is exactly right. If you do arithmetic with inexact numbers (and they aren't too large or too small) the answer may have a small amount of roundoff error. Although we'll treat this distinction at length in future lessons, it is convenient to take a preliminary look right now.

consider the four bicycles in the family have been ridden for a total of 250 mi.

The above statement can be categorized into exact numbers as 4 and 250 are countable.

Now, consider a child fell and had a 4-cm laceration that required 12 stitches.

The above statement can be categorized into exact as the numbers 4 and 12 are countable.

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