find the equation of the straight line graph y= mx-6

The total revenue from adult ticket sales (10a) must be greater than or equal to $1200.

Let's represent the number of student tickets sold as 's' and the number of adult tickets sold as 'a'.

The revenue from student ticket sales can be calculated as 7.50s, and the revenue from adult ticket sales can be calculated as 10a.

To satisfy the constraint that the drama club must make no less than $1200, we can write the following inequality:

7.50s + 10a ≥ 1200

This inequality states that the total revenue from student ticket sales (7.50s) plus the total revenue from adult ticket sales (10a) must be greater than or equal to $1200.

This inequality ensures that the ticket sales generate enough revenue to cover the show's costs. The drama club needs to sell enough tickets, both student and adult, to meet or exceed the minimum revenue requirement of $1200.

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Answer:

question what number is on the top or bottom of the parallelagram

Step-by-step explanation:

and what is on the left or right of the parallorgram I need to know to help you

The area of the parallelogram will be 98 square feet.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.

Let h be the perpendicular distance between the parallel side and b be the length of the base of the rectangle.

Then the area of the parallelogram will be given as,

Area of parallelogram = b x h

The length of the base of the parallelogram is 14 feet, and the value of h is 7 feet.

Then the area of the parallelogram will be

Area pf parallelogram = 14 x 7

Area pf parallelogram = 98 square feet

Then the area of the parallelogram will be 98 square feet.

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Answer: 3325 for the width

Step-by-step explanation:

P=2 (L+W)  where, P = Perimeter, L = Length, W = Width

6840=2(95+w)

Divide both side by 2

6840/2= 95+W

3420= 95+W

Then Subtract 95 from each side.

3420- 95 = W

3325= W

You have to calculate the probability of obtaining an odd number after rolling the die and obtaining tail after tossing a coin, symbolically:

Where

"O" represents the event " rolling an odd number"

"T" represents the event "tossing a coin and obtaining tail"

The events are independent, which means that the intersection between both events is equal to the product of the individual probability of each event:

So, first, we have to calculate the probabilities of "rolling an odd number" P(O) and "tossing a coin and obtaining tail" P(T)

-The die is six-sided and numbered from 1 to 6, assuming that each possible outcome has the same probability, we can calculate the probability of rolling one number (N) as follows:

The possible outcomes when you roll a die are {1, 2, 3, 4, 5, 6}

Out of these six numbers, three are odd numbers {1, 3, 5}, this is the number of favorable outcomes of the event "O", and the probability can be calculated as follows:

So, the probability of rolling an odd number is P(O)=1/2

-When you toss a coin, there are two possible outcomes: "Head" and "Tail", assuming that both outcomes are equally possible.

For the event "toss a coin and obtain tail" there is only one favorable outcome out of the two possible ones, so the probability can be calculated as:

The probability of tossing a coin and obtaining a tail is P(T)=1/2

Once calculated the individual probabilities you can determine the asked probability:

hello

101.7 * 5.45 =

if you observe you'll see a decimal point after the third number. this tells us that the answer has a three significant figure

Answer:

23.52 miles

Step-by-step explanation:

Let us find the number of miles that they would have run.

Kana starts at 9:35 a.m. and runs at an average rate of 7 mph.

Let the time she has spent so far be t.

Speed is given as:

s = d / t

where d = distance and t = time

=> d = s * t

Therefore, for Kana:

d = 7 * t = 7t _____________(1)

Ji-Hun starts at 10:00 am (25 minutes after Hannah) and runs at an average rate of 8 mph.

25 minutes = 25/60 hour = 0.42 hour

So, his time (compared to Kana's) is t - 0.42.

therefore, for Ji-Hun:

d = 8 * (t - 0.42)

=> d = 8t - 3.36 ____________(2)

Equating (1) and (2):

7t = 8t - 3.36

=> 8t - 7t = 3.36

t = 3.36 hours

Therefore, let us find d:

d = 7 * 3.36 = 23.52 miles

So, Ji-Hun will catch up to Kana after 23.52 miles.

Answer:

Step-by-step explanation:

Answer: Obtuse

Step-by-step explanation:

A right angle is an angle that is aqual to 90°. A 90° angle looks something like this: ∟. An obtuse angle is an angle tha mesures larger than that, like this: ⦦. An Acute angle is an angle that has a smaller angle mesaure than 90°. An acute angle looks smething like this: ⦟. Hope this helps, good luck.

The sum of the arithmetic series in this problem is given as follows:

S = -112.

An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.

The nth term of an arithmetic sequence is given by the explicit formula presented as follows:

\(a_n = a_1 + (n - 1)d\)

In which \(a_1\) is the first term of the arithmetic sequence.

The sum of the first n terms is given by the equation presented as follows:

\(S_n = \frac{n(a_1 + a_n)}{2}\)

The rule for this problem is given as follows:

\(a_n = 4 - 4n\)

The first and the last term are given as follows:

Hence the sum of the eight terms is given as follows:

S = 8 x (0 - 28)/2

S = -112.

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Answer:

t = 66.4 minutes ( to the nearest tenth of a minute)

it would take the element 66.4 minutes to decay to 11 grams

Step-by-step explanation:

Given;

Initial amount N = 510 g

Final amount Nt = 11 g

Half life t(1/2) = 12 minutes

The amount of time t required for the Element X to decay from N to Nt can be written as;

t = ln(Nt/N) ÷ -λ .....1

Where;

λ = decay constant

λ = ln(2)/t(1/2)

Substituting λ, equation 1 then becomes;

t = ln(Nt/N) ÷ -(ln(2)/t(1/2))

Substituting the values;

t = ln(11/510) ÷ -(ln(2)/12)

t = −3.8365 ÷ -0.05776

t = 66.419

t = 66.4 minutes ( to the nearest tenth of a minute)

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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If you chose to compute a mode for a variable, the measure of variability you would most likely want to report is the a) range .

The mode represents the most frequently occurring value in a dataset, which provides information about the central tendency and the characteristic value in the data. It helps identify the value or values that are most common or dominant in the dataset.

On the other hand, the range measures the spread or variability in the dataset. It gives you the difference between the maximum and minimum values in the dataset, providing insight into the extent of the dispersion of values.

The standard deviation (option b) is another measure of variability, but it quantifies the dispersion of values around the mean. It is not directly related to the mode and provides a different aspect of variability compared to the mode.

Therefore, if you are specifically interested in the measure of variability to report when computing the mode, the range (option a) would be more relevant than the standard deviation (option b).

Correct Question:

If you chose to compute a mode for a variable, which measure of variability would you most likely want to report?

a) Range

b) Standard Deviation

c) Neither of these

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(a) There are 2²⁸ = 268,435,456 ways to place testing dummies into the rollercoaster

(b) There are 15 × 2²⁴ = 402,653,184 ways to place dummies into the rollercoaster if the front car must have 3 or fewer testing dummies.

(c) There is only 1 × 2²⁴ = 16,777,216 way to place dummies into the rollercoaster if the back car must be empty.

(d) There are 15 × 2²⁰ = 15,728,640 ways to place dummies into the rollercoaster if neither the front nor the back car can be full.

a) There are 7 cars and each car has 4 seats, there are a total of 7 × 4 = 28 seats. Each seat can either be occupied by a testing dummy or left empty.

For each seat, there are two possibilities (dummy or empty). Since each seat can be treated independently, the total number of ways to place the testing dummies is 2²⁸.

2²⁸ = 268,435,456

b) If the front car must have 3 or fewer testing dummies,

The front car can have 0, 1, 2, or 3 testing dummies.

There are C(4, 0) + C(4, 1) + C(4, 2) + C(4, 3) = 1 + 4 + 6 + 4 = 15 ways to select the number of dummies for the front car.

The remaining 6 cars can have any number of dummies between 0 and 4. Each car has 4 seats, and each seat can be occupied by a dummy or left empty. So, there are 2⁴ possibilities for each of the 6 remaining cars.

Total number of ways = 15 × (2⁴)⁶ = 15 × 2²⁴.

15 × 2²⁴ = 402,653,184

c) If the back car must be empty, we can calculate the number of arrangements by considering the possibilities for the back car and then multiplying it by the remaining possibilities for the other cars.

The back car can have 0 dummies. There is only 1 possibility for the back car.

The remaining 6 cars can have any number of dummies between 0 and 4. Each car has 4 seats, and each seat can be occupied by a dummy or left empty. So, there are 2^4 possibilities for each of the 6 remaining cars.

Total number of ways = 1 × (2⁴)⁶ = 1 × 224.

1 × 2²⁴ = 16,777,216

d) If neither the front nor back car can be full, we can calculate the number of arrangements by considering the possibilities for both the front and back cars and then multiplying it by the remaining possibilities for the other cars.

The front car can have 0, 1, 2, or 3 testing dummies. There are C(4, 0) + C(4, 1) + C(4, 2) + C(4, 3) = 1 + 4 + 6 + 4 = 15 ways to select the number of dummies for the front car.

The back car can have 0 dummies. There is only 1 possibility for the back car.

The remaining 5 cars (excluding the front and back cars) can have any number of dummies between 0 and 4. Each car has 4 seats, and each seat can be occupied by a dummy or left empty. So, there are 2^4 possibilities for each of the 5 remaining cars.

Total number of ways = 15 × 1 × (2⁴)⁵ = 15 × 2²⁰.

15 × 2²⁰ = 15,728,640

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The question is incomplete the complete question is :

an amusement park is testing a roller coaster ride for safety. the roller coaster has 7 distinguishable cars, each of which contains 4 distinguishable seats. each seat can either be occupied by a testing dummy or left empty. the dummies are indistinguishable from one another, and there are enough to fill every car. for all sub-problems below, you are allowed to leave the entire ride empty, fill every seat in the ride, or anything in between. (update 2/17/23: the cars cannot be rearranged. they are fixed in one order.) a.) how many ways are there to place testing dummies into the rollercoaster? b.) how many ways are there to place dummies into the roller coaster if the front car must have 3 or fewer testing dummies in it? c.) how many ways are there to place dummies into the roller coaster if the back car must be empty? d.) how many ways are there to place dummies into the roller coaster if the neither the front or back car can be full?

Answer:

it's 157.50

Step-by-step explanation:

you divide 150 by 5 . Then you multiple 30 by 3 to get 3/5 of the sales. Then you multiple 90 by 1.75 and you get your answer

Answer:

Price per yard is $6,5

Step-by-step explanation:

22.75/3.5 = 6,5

Answer:

80%

Step-by-step explanation:

100%= 25/25. 1 donut = 5%. So you have 20 donuts left x 5.

Answer:

80% are left.

Step-by-step explanation:

So 100 donuts would be 100%. To get to 100 you need to multiply 25x4. Then you also need to multiply 5x4=20. Since it is the 5 that are eaten, you subtract 20 from 100 and get 80, so you are left with 80% of the donuts.

As per the concept of quadratic equation, If the producers set the price of the video game at $75.69 per game, they can expect to supply 700 thousand units of the game based on the given demand equation.

To determine the price at which producers will supply 700 thousand video games, we need to set the demand equal to 700 thousand and solve for p.

So we have:

D(p) = 700

-0.253p² - 18.238p + 2246.356 = 700

-0.253p² - 18.238p + 1546.356 = 0

We can solve this quadratic equation using the quadratic formula:

p = (-b ± √(b² - 4ac)) / 2a

where a = -0.253, b = -18.238, and c = 1546.356

Plugging in the values, we get:

p = (-(-18.238) ± √((-18.238)² - 4(-0.253)(1546.356))) / 2(-0.253)

p = (18.238 ± √(18.238² + 1562.287)) / 0.506

p = (18.238 ± 39.626) / 0.506

p = 75.694 or -143.237

Since we are interested in the positive value, the price at which producers will supply 700 thousand video games is approximately $75.69 per game, rounded to the nearest cent.

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Complete Question:

The demand for a new video game is given to be D(p)=−0.253p² −18.238p+2246.356 thousand when the price is p dollars per game.

At what price will producers supply 700 thousand video games? round to the nearest cent (2 decimal places). $____________ per game

FICA tax contribution for an employee, multiply their gross pay by the Social Security and Medicare tax rates.

FICA is a U.S. federal payroll tax. It stands for the Federal Insurance Contributions Act and is deducted from each paycheck. Your nine-digit number helps Social Security accurately record your covered wages or self-employment. As you work and pay FICA taxes, you earn credits for Social Security benefits.

For both of them, the current Social Security and Medicare tax rates are 6.2% and 1.45%, respectively. So each party – employee and employer – pays 7.65% of their income, for a total FICA contribution of 15.3%. To calculate your FICA tax burden, you can multiply your gross pay by 7.65%.

For example, if an employee’s taxable wages are $700 for the week, their social security contribution would be: $700.00 x 6.2% = $43.40. Their Medicare contribution would be: $700.00 x 1.45%= $10.15.

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Answer: B

Step-by-step explanation:

A factorial is multiplying the integer and all of the integers below it together.

The product of a whole number 'n' with every whole number until 1 is called the factorial. The correct option is B.

The product of a whole number 'n' with every whole number until 1 is called the factorial. The factorial of 4 is, for example, 43221, which equals 24.

The expression 7! means 7 factorial which is expanded as,

7! = 7 × 6 × 5 × 4 × 3 × 2 × 1

Hence, the correct option is B.

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Answer:

(2,5)

Step-by-step explanation:

y= 4x-3

y=-2x+9

-------------------------

 4x-3=-2x+9

6x-3=9

6x=12

x=2

-----------------

y = 4(2)-3

y =8 -3

y=5

(2,5)

Answer:

1st box: 6x - 3 = 9

2nd box: 6x = 12

3rd box: x = 2

4th box: y = 4(2) - 3

5th box: y = 8 - 3

6th box: y = 5

Step-by-step explanation:

Part A-

1) 4x-3 = -2x+9

2) 4x+2x -3 = -2x+2x + 9

3) 6x -3 = 9

4) 6x -3+3 = 9+3

5) 6x = 12

6) 6x/6 = 12/6

7) x = 2

Part B-

1) y=4x-3

2) y=4(2)-3

3) y=8-3

4) y= 5

Therefore, x = 2 and y = 5.

Uh, I think I did this one… good luck ;p

Pythagoras was an ancient Greek mathematician who founded the Pythagorean school of thought. The Pythagorean theorem is a fundamental concept in mathematics that is attributed to Pythagoras and his followers.

It states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. While this theorem is considered a cornerstone of mathematics today, it is important to understand that Pythagoras did not have access to the advanced mathematical tools and methods that we have today.

He had to rely on geometric constructions and reasoning to prove his theorem. Furthermore, Pythagoras believed that all numbers could be expressed as ratios of whole numbers, which is not always true in reality. Despite these limitations, the Pythagorean theorem has stood the test of time and continues to be a crucial tool in mathematics and other fields.

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The cost of 0.21 acres of land would be $914,060.00 if the land is measured in square meters and the cost per square foot is $100.00.

There are different ways to approach this problem depending on the units of measurement. Here are a few possible ways to solve the problem:

If the land is measured in square feet:

1 acre = 43,560 square feet (by definition)

0.21 acres = 0.21 x 43,560 = 9,131.6 square feet

Cost of 9,131.6 square feet at $100.00 per square foot = $913,160.00

Therefore, the cost of 0.21 acres of land would be $913,160.00 if the land is measured in square feet.

If the land is measured in square meters:

1 acre = 4,046.86 square meters (by definition)

0.21 acres = 0.21 x 4,046.86 = 849.0446 square meters

1 square meter = 10.7639 square feet (approximately)

849.0446 square meters = 9,140.6 square feet (approximately)

Cost of 9,140.6 square feet at $100.00 per square foot = $914,060.00

Therefore, the cost of 0.21 acres of land would be $914,060.00 if the land is measured in square meters and the cost per square foot is $100.00.

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The value of x in the rhombus is -1

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

The shape = rhombus

The diagonals of rhombus bisect each other at 90 degrees

So, we have

2x^2 - 25x + 3x^2 + 60 = 90

Evaluate the like terms

5x^2 - 25x - 30 = 0

Divide through by 5

x^2 - 5x - 6 = 0

So, we have

x^2 + x - 6x - 6 = 0

Factorize

(x + 1)(x - 6) = 0

This gives

x = -1 and x = 6

When x = 6, 2x^2 - 25x is negative

Hence, the value of x is -1

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Answer:

En la imagen te la dejo jajaa

Answer:

Option C : 173.8 km² is the correct answer.

Step-by-step explanation:

Given that:

Side length = 6 kilometers

A shape with 8 sides is called an octagon, therefore, the given figure is an octagon.

Area of octagon is given by;

Area = \(2(1+\sqrt{2})a^2\)

Putting a=6

Area = \(2(1+\sqrt{2})(6)^2\)

Area = \((2+2\sqrt{2})(36)\)

Area = 173.82

Rounding off to one decimal place

Area = 173.8 km²

Hence,

Option C : 173.8 km² is the correct answer.

Answer:

5/12 or 0.416667

Step-by-step explanation:

Plug in the values for x and y.

8(1/3) - 3(3/4)

Evaluate.

8/3 - 9/4

32/12 - 27/12

= 5/12

The temperature at 6pm is -13°F.

What is changes in temperature ?

      The increase in temperature demonstrates the extent of the temperature change that takes place over time. Any amount of time could be considered, such as from one day to the next or from one year to the next. You merely need to apply simple subtraction to compute the increase in temperature.

Here , The temperature at 9 am ,

=> -3.6°F

Then temperature roes 15.4°F

=> -3.6°F+15.4°F =  11.8°F

Between noon and 3pm the temperature went down 15.5°F

=> 11.8°F - 15.5°F

=> -3.7°F

Now again the temperature went down 9.3°F then,

=> -3.7°F-9.3°F

=> -13°F

Therefore the temperature at 6pm is -13°F.

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Answer:

Your answer for the question is 38

Answer:

B. 252

Step-by-step explanation:

To find the answer, you have to use the formula to calculate the number of combinations as in this case, the order in which the objects are selected doesn't matter:

nCr=n!/r!(n-r)!

n= number of sample points: 10

r= number of sample points in each combination: 5

10C5= 10!/5!(10-5)!

10C5= 10!/5!*5!

10C5= 252

According to this, the answer is that you have 252 different ways to choose your school lunch.

Answer:

it is A 120

Step-by-step explanation:

can i have brainliest

The ratio strength of the final product is 1:0.4.

One technique to indicate concentration is through ratio strength, which uses a ratio to characterize drug concentration. In this context, concentration is defined as the quantity of a solute that makes up one unit in the whole volume of a solution or combination. You should be an expert in ratio strength calculations as a pharmacy student. Ratio strength uses a ratio to describe the medication concentration. So, what it implies is, you have one unit of solute contained in the complete amount of preparation and so generally your ratio strength is expressed as one is to something. In the case of a weight-in-weight, volume-in-volume, or weight-in-volume situation, you would interpret a ratio of 1:2,000 differently.

Drug strength = 800mg

whole volume =2ltrs

The ratio of the solution in 1 ltr is = 400 mg

The ratio strength of the solutions is = 1:0.4

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