An adult ticket costs $5.25 and a child ticket costs $3.05. If $498.60 were collected for 100 tickets, how many child tickets were sold?

Fans of X-Men movies have been debating the best X-Men movie on an online forum. To see what the overall opinion is, visitors to the site were able to rank the four films in order of preference.

The result of the preference schedule is essential in finding the best movie according to the majority's opinion.

It is important to note that the preference schedule shows that the best X-Men movie can be determined through visitors ranking the four films in order of preference.

To determine the best X-Men film, you can start by looking at the film that received the most first-place rankings. This film is likely to be the favorite among the voters. If there is a tie for the most first-place rankings, you can consider the film that received the most second-place rankings, and so on.

By analyzing the preference schedule and considering the rankings for each film, you can identify the film that received the highest overall ranking and declare it as the best X-Men film according to the preferences of the voters.

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In the context of analyzing the relationship between studying time and test grades, the domain of the scatterplot would be the number of minutes the students studied (option D).

The domain refers to the set of possible inputs or variables in a given context. In this case, the scatterplot is being created based on the relationship between the time students spent studying and their corresponding test grades. Therefore, the domain in this context would be the number of minutes the students studied (option D).

The domain represents the independent variable, which is the variable that is controlled or manipulated in the analysis. In this scenario, the math teacher wants to analyze the relationship between studying time and test grades, so the number of minutes studied would be the independent variable. The teacher surveys the students to collect data on the time spent studying, and this variable becomes the domain of the scatterplot.

The range, on the other hand, represents the dependent variable, which is the variable that is measured or observed as an outcome or response. In this case, the dependent variable would be the students' test grades. The scatterplot will show how the test grades correspond to the amount of time students studied.

To summarize, in the context of analyzing the relationship between studying time and test grades, the domain of the scatterplot would be the number of minutes the students studied (option D).

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If the distance to a star was suddenly cut in half, it would appear four times brighter.

The brightness of a star is directly proportional to the inverse square of its distance from us. This means that if the distance to a star is halved, its brightness will increase by a factor of four.

The relationship between brightness and distance can be expressed as follows:

B = k / d^2

where B is the brightness, k is a constant of proportionality, and d is the distance.

If the distance to the star is halved, it can be expressed as:

d' = d / 2

Plugging this into the equation for brightness, we get:

B' = k / (d / 2)^2

Expanding this and simplifying, we get:

B' = 4 * k / d^2

Since k is a constant, it cancels out and we are left with:

B' = 4 * B

This means that if the distance to a star was suddenly cut in half, it would appear four times brighter. In astronomical terms, this is equivalent to an increase of 2 magnitudes on the logarithmic magnitude scale.

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Answer:

B

Step-by-step explanation:

use pythagoras first

x² + x² = (12√2)²

expand & simplify the squares

2x² = 144(2)

x² = 144

root both sides to get x

x = 12

we can estimate that 46 out of 100 students who purchase fruit will most likely purchase bananas.

We can use proportional reasoning to estimate the number of students who will most likely purchase bananas if 100 students purchase fruit. Since we know that 23 out of 50 students purchased bananas, we can set up a proportion:

23/50 = x/100

where x is the number of students who will most likely purchase bananas if 100 students purchase fruit.

To solve for x, we can cross-multiply:

23 × 100 = 50 × x

2300 = 50x

x = 2300/50

x = 46

Therefore, we can estimate that 46 out of 100 students who purchase fruit will most likely purchase bananas. This is just an estimate, and the actual number may be slightly different due to factors such as individual preferences and availability of different types of fruit.

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Answer:

12

Step-by-step explanation:

(1/3) x  + 5 = 9

(1/3) x = 9 -5

(1/3) x = 4

Multiply both sides by 3

x = 12

Answer:

x = 12

Step-by-step explanation:

1/3x + 5 =9.

1/3x = 4,

x = 12

Answer:

direct variation equation: y = 13/4x

y = -19.5 when x = -6

Step-by-step explanation:

y = kx  where 'k' is the constant to proportionality

13 = 4k

k = 13/4

equation:  y = 13/4x

plug in -6 for 'x' to find value of 'y'

y = 13/4(-6)

y = -19 1/2

Answer: I think it's 0.3

Answer:

30 %

Step-by-step explanation:

if the probability that it will rain is 0.7, there is a 0.3 or 30 % chance that it will not rain.

Based on the dimensions of the prism, the surface area of the prism can be found to be 120 m²

To find the surface area of a prism, you can find the surface area of the different shapes in the prism and then sum them up.

Area of two triangles:

= 2 x 1/2 x base x height

= 2 x 1/2 x 4 x 3

= 12 m²

Area of the three rectangles:

= (4 x 9) + (5 x 9) + (9 x 3)

= 36 + 45 + 27

= 108 m²

The surface area of the prism is:

= 108 + 12

= 120 m²

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Answer:

8 words per minute.

Step-by-step explanation:

Divide 48 by 6

Answer:

c

Step-by-step explanation:

6x+42+3x

6x+3x +42

9x+ 42

Step-by-step explanation:

Given expression,

\(\\ {\longrightarrow \qquad{ \sf{6(x + 7) + 3x}}}\\ \\ \)

Using distributive property we get,

\( \\ {\longrightarrow \qquad{ \sf{6x + 42 + 3x}}}\\ \\ \)

Adding like terms (6x and 3x) we get,

\(\\ {\longrightarrow \qquad{ \sf{9x + 42 }}}\\ \\ \)

So, From the given options, Option C is equivalent to 6(x + 7) + 3x .

Sarah use for each cup of water is 3/8

Now, According to the question:

What is a fraction in math?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

She uses 1/4 cup of grape juice for every 2/3 cup of water.

Let Sarah use for each cup of water be x.

To construct table of grape juice and cup of water.

Grape juice                                     Cup of water

   1/4                                                          2/3

     x                                                             1

Now, Solving the fractions

\(\frac{1}{4}/x\)     =    \(\frac{2}{3}/1\)

8x =  3

x = 3/8 cup

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Therefore , the solution to the the given problem of rate of change pollution to environmental damage to prevent damage is in the below listed explanation.

When something changes over time, it does so at a certain rate, or ROC. Therefore, rather than the size of each change individually, it is the rate of change—or, more specifically, its acceleration or deceleration. Rate of change is a concept in finance that is used to comprehend price returns and pinpoint trends' momentum.

Here,

The greatest threats to biodiversity on a global basis are the extinction, degradation, and fragmentation of ecosystems.

As a result of exploitation, pollution, and the introduction of exotic species, individual survival and reproduction rates are reduced.

The rate of increase of deforestation , air pollution , burning of fossil fuel caused environment damage.

Thus In order to prevent  environment damage  , we have to use reusable material , solar energy , renewable energy and non pollutant items.

Therefore , the solution to the the given problem of rate of pollution to environmental damage to prevent damage is in the below listed explanation.

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Answer:

I think its C (I think..im doing the test so ill tell u if its right or wrong)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Blake should not include the outlier because it overstates the effect of rainfall on temperature.

Answer:

it is b because I did the math and got that

Answer:

3 or B

Step-by-step explanation:

The positive becomes a negeative turning your problem into 5 - 2 = 3

Answer:

The price is $887.81.

Step-by-step explanation:

Multiply $823.95 by 0.075 to find the sales tax. Then add that number to the total, $823.95, to get $887.81.

Answer:

48

To start you will find the area as if it was a rectangle. To do that you have to do 8x12. 8x12 = 96, but to find the area of a triangle you take the area of the rectangle and divide it by 2. 96 divided by 2 is equal to 48.

There are other methods of solving this but I think this is the easiest way!

Answer:

Step 2-3

Step-by-step explanation:

I don't know what's wrong with step 2 but in step 3 the student added the exponent instead of multiplying.

That automatically makes every other step done afterwards wrong but it's not 3-4 because the math is right it's just that step 3 messed up step 4 laws of exponent wise.

Answer:

sample proportion of defective items

Step-by-step explanation:

The p-chart is a type of chart in which the sample is taken periodically from the production process, so as to determine if the population proportion of defective items in the sample falls within the control limits on the chart.

For a P-chart, as the sample size gets larger it turns more into a normal distribution making it possible to approximate the distribution of the proportion defective.

Open Source GIS stands for Open Source Geographic Information System. It refers to a type of software that allows users to create, manage, analyze, and visualize spatial data. Open source means that the source code of the software is freely available and can be modified and distributed by anyone.

The use of Open Source GIS has the potential to significantly change spatial computing in several ways:

1. Collaboration: Open Source GIS encourages collaboration among users. Since the source code is freely available, users can contribute to the development of the software by fixing bugs, adding new features, or improving existing ones. This collaborative approach leads to the rapid evolution and enhancement of the software.

2. Cost-effectiveness: Open Source GIS eliminates the need for expensive proprietary software licenses. Users can freely download and use the software without any financial burden. This makes it more accessible to individuals and organizations with limited resources.

3. Customizability: Open Source GIS allows users to customize the software according to their specific needs. They can modify the source code and add new functionalities or customize existing ones. This flexibility enables users to tailor the software to their unique requirements.

4. Community support: Open Source GIS has a large and active user community. This community provides support through forums, mailing lists, and online resources. Users can seek help, share ideas, and collaborate with others who have similar interests or challenges. The community support helps users overcome difficulties and enhances the overall user experience.

5. Innovation: Open Source GIS encourages innovation in spatial computing. The open nature of the software fosters experimentation and the development of new ideas and approaches. Users can contribute their innovations to the community, which benefits the wider user base.

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Answer: 3 common because this angle is present in both triangles

4 SAA is congruent to SAA

5 corresponding angles of congruent triangle

Answer: D

Step-by-step explanation: Cause there's not year for how long alma saved so its D not here

Answer:

C. 7980.00

Step-by-step explanation:

by using the formula of interest =ie. 4200*4.75*4 and the answer will come 7980.00

everything u need is in the picture

The interval for the number of people who are likely to want the restaurant in their city, rounded to the nearest person, is approximately 70,453 to 138,799 people.

To find the interval for the number of people who are likely to want the restaurant in their city, we need to calculate the number of people corresponding to the lower and upper bounds of the given percentage range.

Given:

Lower bound percentage = 32%

Upper bound percentage = 63%

Total population in the city = 220,190

To find the lower bound of the number of people, we multiply the lower bound percentage by the total population and divide by 100:

Lower bound number of people = (32/100) x 220,190 ≈ 70,453

To find the upper bound of the number of people, we multiply the upper bound percentage by the total population and divide by 100:

Upper bound number of people = (63/100) x 220,190 ≈ 138,799

Therefore, the interval for the number of people who are likely to want the restaurant in their city, rounded to the nearest person, is approximately 70,453 to 138,799 people.

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Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

Answer:

y = 6x - 17

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (4, 7 ) and (x₂, y₂ ) = (2, - 5 )

m = \(\frac{-5-7}{2-4}\) = \(\frac{-12}{-2}\) = 6 , then

y = 6x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, 7 )

7 = 24 + c ⇒ c = 7 - 24 = - 17

y = 6x - 17 ← equation of line

To simplify the expression 48 + x + 30 - 3(3x + 2), we can follow the order of operations (PEMDAS) and combine like terms:

48 + x + 30 - 3(3x + 2)

First, simplify the expression within the parentheses:

= 48 + x + 30 - 9x - 6

Next, combine like terms:

= (48 + 30) + (x - 9x) - 6

= 78 + (-8x) - 6

= -8x + 72

So the simplified expression is -8x + 72.

The mathematicians credited with developing the mathematical models that predict population growth in each of two competing species are Rosenzweig and MacArthur(OPTION A).

These two scientists developed a theory known as the "competitive exclusion principle," which states that two species competing for the same resources cannot coexist indefinitely. Instead, one species will eventually outcompete and displace the other species.
Rosenzweig and MacArthur's model is based on the Lotka-Volterra equations, which are a set of differential equations that describe the dynamics of predator-prey relationships. They extended this model to include two competing species and developed the concept of the "ecological niche" – the specific set of environmental conditions under which a species can survive and reproduce.
Their model predicts that the two species will reach a stable equilibrium, where their populations remain relatively constant over time. However, the exact outcome of the competition depends on several factors, including the initial population sizes of the two species, the relative strengths of their ecological niches, and the availability of resources.
Overall, Rosenzweig and MacArthur's mathematical model has been influential in the field of ecology, providing a framework for understanding how competing species interact and how ecosystems evolve over time.

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