Mark's school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 7 adult tickets and 14 student tickets for a total of $126. The school took in $108 on the second day by selling 14 adult tickets and 4 student tickets. Find the price of an adult ticket and the price of a student ticket.

The examples of direct variation are;

equation image indicator. Option B and D

Direct variation is a type of variation such that the variables proportionally increases or decreases.

As one of the variable decreases, the other decreases and as one increases, the other increases.

From the information given, we have that;

For option B:

The equation image indicator does represent direct variation because it can be simplified to y = 2x, where the constant k is equal to 2.

Also, for option D the equation image indicator represents direct variation because it can be simplified to y = -3x, where the constant k is equal to -3.

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Answer:

there's no picture of the shape but a rectangular shape  maybe

Step-by-step explanation:

if you ask the question again with the picture of the shape attached I will help you

Answer:

shapes that have 4 edges are called quadrilaterals. Quadrilateral shapes include squares, rectangles, trapezoids, rhombus, parallelogram, diamonds, and kites.

Step-by-step explanation:

Answer:

240 units I think

Step-by-step explanation

20 by 2 equal 10 you now know the triangle length

then 4 X 10 equal 40 by 2 equal 20 by 2 equal 40. area of both triangles

20 X 10 equal 200 length of rectangle add both and equal 240.

Answer:

240 sq. ft is the qnswer I got

The p-value for the test, given that the class size is 28 students, is approximately 6.53%.

To determine the p-value, we need to perform a hypothesis test to compare the class average (68%) with the population average (70%). Since the sample size is 28, we can use a t-distribution.

Using the t-distribution, we calculate the t-value by subtracting the population mean (70%) from the sample mean (68%), dividing it by the sample standard deviation (7%), and multiplying it by the square root of the sample size (sqrt(28)). This gives us a t-value of (68% - 70%) / (7% / sqrt(28)) ≈ -0.858.

To find the corresponding p-value, we compare the t-value to the t-distribution with degrees of freedom equal to the sample size minus 1 (28 - 1 = 27). Consulting a t-table or using statistical software, we find that the p-value associated with a t-value of -0.858 and 27 degrees of freedom is approximately 6.53%.

Therefore, the p-value for this test, with a class size of 28 students, is approximately 6.53%. This p-value represents the probability of observing a class average of 68% or lower, assuming the population mean is 70%.

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Systematic sampling offers several advantages. It is relatively easy to implement and eliminates bias that may arise from the subjective selection of participants.

The sampling method described in the scenario is called systematic sampling.

Systematic sampling involves selecting every nth element from a population after randomly selecting a starting point. In this case, the store manager randomly chooses a shopper entering the store as the starting point and then proceeds to interview every 20th person after that initial selection.

Systematic sampling offers several advantages. It is relatively easy to implement and eliminates bias that may arise from the subjective selection of participants. By ensuring a regular interval between selections, systematic sampling provides a representative sample from the population.

However, it's important to note that systematic sampling can introduce a form of bias if there is any periodicity or pattern in the population. For example, if the store experiences a peak in customer traffic during specific time periods, the systematic sampling method might overrepresent or underrepresent certain groups of shoppers.

To minimize this potential bias, the store manager could randomly select the starting point for the systematic sampling at different times of the day or on different days of the week. This would help ensure a more representative sample and reduce the impact of any inherent patterns or periodicities in customer behavior.

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Answer:

I think the answer you're looking for is 86400

Step-by-step explanation:

Answer:

Step-by-step explanation:

c+5=792

Answer:

8 dollars is the answer

Answer:

$12

Step-by-step explanation:

3 dollars equals to 20% so 3*4= 12.

Hope this helps and have a great day!!!!

The calculated area of the wall art is 474 square inches

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

The composite figure

The area of the figure is the sum of the individual areas

So, we have

Area = 21 * 9 + 9 * 19 + 6 * 19

So, we have

Area = 474

Hence, the area is 474 square inches

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Answer:

768 divided

Step-by-step explanation:

The solution for s in the equation is s = √[(R - 3)/t]

The equation is given as:

R = ts^2 + 3

Subtract 3 from both sides

ts^2  =R - 3

Divide both sides by t

s^2 = (R - 3)/t

Evaluate the square root of both sides

s = √[(R - 3)/t]

Hence, the solution for s in the equation is s = √[(R - 3)/t]

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Social scientists gather data from samples instead of populations because c. populations are often too large to test.

Social scientists often cannot test an entire population due to its size, so they gather data from a smaller group or sample that is representative of the larger population. This allows them to make inferences about the larger population based on the data collected from the sample. The sample size must be large enough to accurately represent the population, but it is not necessarily larger or more complete than the population itself. Trustworthiness, meaning, and interest are subjective and do not necessarily determine why social scientists choose to gather data from samples.

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The correct option is a)440 feet. Explanation:According to the question, a ball is dropped from a height of 48 feet and rebounds two-thirds of the distance it falls. After it rebounds, the height that the ball reaches is (2/3) × 48 = 32 feet. Therefore, the total distance that the ball travels before coming to rest is given by the geometric series:

S = 48 + 2 × 32 + 2 × (2/3) × 32 + 2 × (2/3)2 × 32 + ...

We can write this as:

S = 48 + 2 × 32 + 2 × (2/3) × 32 + 2 × (2/3)2 × 32 + ... + 2 × (2/3)n × 32 + ...

where n is the number of bounces that the ball makes before coming to rest. We want to find the total distance that the ball travels, which is the sum of this infinite geometric series. The formula for the sum of an infinite geometric series is:

S = a/(1 - r)where a is the first term and r is the common ratio. In this case, the first term is 48 and the common ratio is 2/3. Therefore:S = 48/(1 - 2/3) = 48/(1/3) = 144 feetThis is the total distance that the ball travels before coming to rest. However, we have counted the distance that the ball travels upwards as well as downwards.

Therefore, the total distance that the ball travels downwards is half of the total distance that it travels:S(down) = 144/2 = 72 feetHowever, we have only counted the distance that the ball travels during the first bounce. Therefore, the total distance that the ball travels downwards is:

S(down) = 48 + 2 × (2/3) × 48 + 2 × (2/3)2 × 48 + 2 × (2/3)3 × 48 + ...

S(down) = 48/(1 - 2/3) × (1 - (2/3)4) = 48/(1/3) × (1 - 16/81) = 144 × (65/81) = 480/3 × 65/81 = 800/3 feet = 266.67 feet

Therefore, the total distance that the ball travels before coming to rest is 2 × S(down) = 2 × 266.67 = 533.33 feet, which is approximately equal to 440 feet when rounded to the nearest integer.

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Answer:

the y-intercept is 7

Step-by-step explanation:

y=mx+b

m=slope

b= y-intercept

Answer:

\(3\frac{1}{3}\)

Step-by-step explanation:

Find a common denominator and then yeah.

Answer:

3 1/3

Step-by-step explanation:

Well you wanna keep the 3 there but first divided the 2 by the 2 and divided 2 by the 6, so then you will get your answer 3 1/3

Answer:C. 46%

Step-by-step explanation:there is 6 even numbers and 7 odd number 50 pecernt would be if it was 6 even and 6 odd or 7even and 7 odd.

Answer:

-6y+2

Step-by-step explanation:

Trust

Answer:

200 ft²

Step-by-step explanation:

L = 2W

2L + 2W = 60

2(2W) + 2W = 60

6W = 60

W = 10, L = 20

A = 10 x 20 = 200 ft²

Answer:

200

Step-by-step explanation:

2x=length

x=width

2x+2x+x+x=60

6x=60

x=10

10x2(10)

10x20

200

The recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹

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

This means that

Initial, a = 250 bacterial cultures.

Rate = 3

So, the recursive formulas is

f(n) = 3f(n - 1), where f(1) = 250

For the explicit formula, we have

f(n) = 250(3)ⁿ‐¹

Hence, the recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹

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If r is < 0, then lambda must be:  Less than 0, Less than 1, Greater than 1  and Greater than 0. The correct answers are: A), B), C), and D).

Recall that the exponential growth or decay model is given by the function:

\(y = y0 * e^(rt)\)

where y0 is the initial value of the function, r is the rate of change (growth or decay), t is the time, and e is the mathematical constant approximately equal to 2.71828.

If r < 0, then the function represents exponential decay, and we have:

\(y = y0 * e^(rt)\)

y/y0 = e^(rt)

Taking the natural logarithm of both sides, we get:

ln(y/y0) = rt

r = (1/t) * ln(y/y0)

Since ln(y/y0) is the natural logarithm of a ratio, it can take any real value. Therefore, r can take any negative value, and there is no restriction on the value of lambda (which is\(e^r\)).

So, the correct answers are: A), B), C), and D).

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The time taken to traveled the van and the tornado before they  meet as per the speed of the van and the tornado is equal to 2.6 minutes.

As given in the question,

Speed of the van along the straight road = 94 kilometers per hour

After travelling distance of 7 kilometers

Speed of the tornado along the same road = 69 km/hour

Total relative speed of van and tornado = 94 + 69

                                                                  = 163km/hour

Distance travelled between two different speed = 7km

Time used to traveled before they meet = distance / speed

                                                                   = 7 / 163

                                                                   = 0.043 hours

                                                                   = 2.58minutes

                                                                   = 2.6minutes

Therefore, the time required to traveled the van and the tornado before they   meet is equal to 2.6 minutes.

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Answer:

Zavier would work an extra hour but would get off at the same time as Abigail so your answer is X+1

Step-by-step explanation:

Since we know that Abigail starts her workday an hour after Zavier then they both get off at the same time that means Zavier works another hour before Abigail starts work.

Hope this helps :)

Answer:

however it works for you along as you get the right answer

Step-by-step explanation:

Answer:

Yeah you will most likely get the same answer

Step-by-step explanation:

as long as you don't mix up (for this example of course) the service call fee (which is the constant) and the fee for each hour of labor (the coefficient of the variable), you are good

Answer:

Y= -1/4x +2

Step-by-step explanation:

Answer:

y=-1/4x+2

slope formula-

y=mx+b

m=Slope

b= y-intercept

The y-intercept of the line represented by the equation is; 60.

It follows from the task content that the y-intercept of the line represented by the equation is to be determined.

On this note, we must recall that the y-intercept of an equation is the value of y when x = 0.

Therefore, we have;

-60 (0) + 2y - 120 = 0

2y = 120

y = 60.

Hence, the y-intercept of the line represented by the equation is; 60.

Consequently, it can be inferred that the Ernesto is wrong in his evaluation of the y-intercept as 30.

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Answer:

i thin C could be wrong

Step-by-step explanation:

Answer:

It’s a

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

x1y1 x2y2

(1,-1)+(5,-2)

0+3

3

Answer:

B,C

Step-by-step explanation:

The value of test_val after the following code is executed is: 13.

Python can be defined as a high-level programming language that is designed and developed to build websites and software applications, especially through the use of dynamic commands (codes or semantics) and data structures.

A variable can be defined as a specific name which refers to a location in computer memory and it is typically used for storing a value such as an integer or string.

Based on the given Python code, we have:

if a * 2 == test_val:

if 12 * 2 ≠ 6:

Therefore, we have:

test_ val = a + 1

test_ val = 12 + 1

test_ val = 13.

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we estimate that g^-1(4) is approximately 0.8.

To find g^-1(4), we need to find the value of x that satisfies the equation g(x) = 4, where g(x) = 3 + x + e^x.

So, we start by setting g(x) equal to 4 and solving for x:

3 + x + e^x = 4

Subtracting 3 from both sides, we get:

x + e^x = 1

We cannot solve this equation for x algebraically, so we need to use numerical methods to approximate the solution. One common method is to use the graph of the function g(x) and its inverse g^-1(x) to estimate the value of g^-1(4).

First, we graph the function g(x) and look for the point on the curve where the y-coordinate is 4:

Graph of g(x) = 3 + x + e^x

From the graph, we can see that there is a point on the curve where the y-coordinate is close to 4, which is approximately x = 0.5.

Next, we look at the graph of the inverse function g^-1(x), which is simply the reflection of the curve of g(x) across the line y = x:

Graph of g^-1(x)

From the graph, we can see that the point on the curve of g^-1(x) that corresponds to the point (0.5, 4) on the curve of g(x) is approximately g^-1(4) = 0.8.

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