Divide 128 chairs among 3 rooms in the ratio of 1 : 3 : 4.​

If Nathan earns $6.50 an hour, plus tips, as a waiter in a restaurant, and he worked for 26 hours, then he must receive $60 in tips, to earn a total of $229 in that time period.

As per the question statement, Nathan earns $6.50 an hour, plus tips, as a waiter in a restaurant, and he worked for 26 hours.

We are required to calculate the amount of tips Nathan must receive to earn a total of $229, working for 26 hours.

To solve this question, we will first calculate the amount Nathan can earn from his regular salary rate, working for 26 hours, and then subtract that amount from $229 which he earned as his salary from the restaurant plus his tips while working for those 26 hours.

Therefore, Nathan will earn $(26 * 6.50) = $169 in his regular salary from the restaurant working for 26 hours.

But since Nathan earned a total of $229 working at the restaurant for the same 26 hours, the extra money over his salary must be the amount he earned in tips.

Therefore, Nathan received $(229 - 169) = $60 in tips, to earn a total of $229 working for 26 hours at the restaurant.

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Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently.

Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently, it is recommended to consider creating a new dependent entity to represent the values. This can help to simplify the design and make it easier to manage and maintain. The new entity can be linked to the original entity through a relationship, allowing each value to be processed independently while still maintaining the integrity of the data. Overall, this approach can improve the efficiency and effectiveness of the system, making it easier to work with and providing better results for the end user.

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The frequency table will list the number of travelers who liked each city. In this case, 124 travelers liked Indianapolis best, 416 liked St. Louis, 1225 liked Chicago, and the remaining number preferred Milwaukee.

The frequency table will present the preferences of the frequent business travelers while the relative frequency table will express these frequencies as a proportion of the total number of travelers. It will list the four cities (Indianapolis, St. Louis, Chicago, and Milwaukee) and their corresponding frequencies, which represent the number of travelers who preferred each city. According to information provided, 124 travelers liked Indianapolis, 416 liked St. Louis, 1225 liked Chicago, and the remaining number preferred Milwaukee.

The relative frequency table will express the frequencies as proportions relative to the total number of travelers. To calculate the relative frequency, the frequency of each city will be divided by the total number of travelers, which is 2200 in this case.

The resulting proportions will be rounded to three decimal places. The relative frequencies will indicate the proportion of travelers who preferred each city relative to the total number of respondents.

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Answer:

-8/7

Step-by-step explanation:

First, find the slope of line c.

(x1, y1) = (9, 10)

(x2, y2) = (1, 3)

The slope formula is:

\(m=\frac{y2-y1}{x2-x1}\)

Solve for the slope using the given values:

\(m=\frac{3-10}{1-9}\\\\m=\frac{-7}{-8}\\\\m=\frac{7}{8}\)

The slope of line c is 7/8. To find the slope perpendicular to it, you need to find the negative reciprocal of that number. An example of that would be 2 and -1/2. Basically, flip the fraction and the +/-.

In this case, the negative reciprocal of 7/8 is -8/7. The image below doesn't account for the y-intercept, but it does show that the slopes are perpendicular.

Answer:

slope = - \(\frac{8}{7}\)

Step-by-step explanation:

Calculate the slope m of line c using the slope formula

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

with (x₁, y₁ ) = (9, 10 ) and (x₂, y₂ ) = (1, 3 )

m = \(\frac{3-10}{1-9}\) = \(\frac{-7}{-8}\) = \(\frac{7}{8}\)

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{\frac{7}{8} }\) = - \(\frac{8}{7}\) ← slope of line d

a. To find the probability that a randomly selected student will be suspended sometime during the year, we need the total number of students who were suspended during Week 2. The probability can be estimated by dividing this number by the total number of students in the population.

b. To find the probability that a randomly selected student will be suspended at least twice during the year, we need to determine the number of students who were suspended twice or more during Week 2. Again, this probability can be estimated by dividing this number by the total number of students in the population.

c. To find the probability that a randomly selected student will be suspended at least twice during the year given that he or she is suspended at least once, we can use conditional probability. We need to calculate the number of students who were suspended at least twice during Week 2 and were also suspended at least once during that time. Then, we divide this number by the total number of students who were suspended at least once during Week 2.

d. To find the probability that both Student A and Student B are suspended sometime during the year, we need to consider the probability of each student being suspended individually and the assumption of independence between the events. We multiply the probability of Student A being suspended by the probability of Student B being suspended, assuming independence. Whether these events are independent depends on the specific context and factors that might influence the suspension of students.

e. To find the probability that either Student A or Student B is suspended sometime during the year, we consider the probability of each student being suspended individually and subtract the probability of both students not being suspended. Whether these events are mutually exclusive depends on the specific context and factors that might influence the suspension of students. If a student can be suspended multiple times, the events may not be mutually exclusive as both students can be suspended.

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Answer:

y = 5x

Step-by-step explanation:

slope intercept form is y=mx+b

m = slope

b = the y-intercept

so you just have to plug in those values

The cosine of angle J is given as follows:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the rules presented as follows:

For the angle J in this problem, we have that:

Hence the cosine of angle J is given as follows:

\(\cos{J} = \frac{4}{\sqrt{98}} \times \frac{\sqrt{98}}{\sqrt{98}}\)

\(\cos{J} = \frac{4\sqrt{98}}{98}\)

\(\cos{J} = \frac{2\sqrt{98}}{49}\)

As 98 = 2 x 49, we have that \(\sqrt{98} = \sqrt{49 \times 2} = 7\sqrt{2}\), hence:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

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The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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The area enclosed by the graphs of |x+y|=2 and |x|=1 is 4.

To find the area enclosed by these graphs, we need to first determine the points of intersection. Solving the equations |x+y|=2 and |x|=1 simultaneously, we get four points of intersection: (-1,1), (1,-1), (-1,-3), and (1,3).

Next, we need to determine the boundaries of the enclosed area. The graphs of |x+y|=2 and |x|=1 divide the plane into eight regions. We can determine which regions are enclosed by checking the signs of x and y in each region.

After determining the enclosed regions, we can compute the area of the enclosed shape by integrating the functions that define the graphs over the appropriate intervals. Using the formula for the area of a trapezoid, we can find that the enclosed area is 4.

Therefore, the answer is B. 4.

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The given ratio of 0.42 to 1 means that for every 1 active subscription, there are 0.42 expired subscriptions.

What is a ratio?

The ratio is a comparison of two quantities that is expressed as a fraction. It is used to compare two values in mathematics. It is possible to write the ratio between a and b as:

a : b or a/b.

What does a ratio of 0.42 to 1 mean? The ratio of 0.42 to 1 means that there are 0.42 expired subscriptions for every 1 active subscription. It is worth noting that the ratio is less than 1, indicating that there are fewer expired subscriptions than active subscriptions.

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Answer:

the answer is, area of the square - a half of area of the circle

C=circle and S =square

radius of C is 10

so Area Of C is =

\(\pi r^{2} = \pi{10}^{2} = 100\pi\)

area of S = 10×10 = 100

so the answer is

\(s - \frac{c}{2} = 100 - \frac{100\pi}{2} = 100 - 50\pi\)

Answer:

The square root of 144 = 12

Step-by-step explanation:

12 X 12 = 144

A square root of a number is a value that, when multiplied by itself, gives the number.

Answer:

x=1

Step-by-step explanation:

and yes you r weird

...

Answer:

(2,-3) is the minimum

Step-by-step explanation:

y = (x-2)²-3 is a quadratic equation written in 'vertex' form:  y = (x-h)²+k where 'h' and 'k' represent the vertex

The vertex is the highest or lowest point of the curve, in this case the 'minimum' so (2,-3) is the minimum

Answer:

Measure C, the Sacramento Community Stabilization and Fair Rent Charter Amendment is on the November ballot for the city of Sacramento after a lengthy court battle. The measure is written to supersede the Sacramento Tenant Protection Act, which was passed in 2019. Here are the results for Measure C as they come in:

Step-by-step explanation:

Answer:

d=5h because the number of hours run multiplied by 5 would equal the

total distance.

The solution for b is y-mx in the equation y=mx+b.

The given equation is y=mx+b

y equal r=to m times of x plus b

We need to solve for b in the equation

To solve we have to isolate b from the equation

Subtract mx from both sides

y-mx=b

Hence, the solution for b is y-mx in the equation y=mx+b.

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Based on the amount that Scott borrowed for the new TV and game system, and the interest paid, the simple interest rate is 15.7%

The simple interest rate can be found by the formula:

= Interest paid by Scott on the loan / Amount Scott borrowed x 100%

Solving for the simple interest rate gives:

= 155 / 985 x 100%

= 0.1573604060913705583756345177665 x 100%

= 0.157 x 100%

= 15.7%

This means that Scott paid 15.7% on the loan he borrowed.

In conclusion, Scott's simple interest rate is 15.7%.

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Answer:

d)

Step-by-step explanation:

a - b = 10

a = 4 + 3b

The company would have a profit of 700,000 dollars if 20,000 hard drives are produced and sold.

What is the profit?

Profit can be best defined as gain, especially when achieved by increasing the price of goods so the money paid by consumers outweighs the cost for the producer, leaving a sizeable return on what has been paid out. Once expenses and costs have been covered, profit is the money left over.

a. The company's profit function can be found by subtracting the cost function from the revenue function:

P(x) = R(x) - C(x) = 60x - (15000 + 25x) = 60x - 15000 - 25x = 35x - 15000

b. The profit, if 20,000 hard drives are produced and sold, is:

P(20000) = 35 * 20000 - 15000 = 700,000

Hence, the company would have a profit of 700,000 dollars if 20,000 hard drives are produced and sold.

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Answer:

Step-by-step explanation:

Probability is expressed as

Number of favorable outcomes/total number of possible outcomes

From the information given,

Total number of outcomes = 16

Starting from 1, the multiples of 3 between 1 and 16 are 3, 6, 9, 12 and 15

This means that the number of favorable outcomes is 5

Therefore, the probability that the card has a multiple of 3 on it is

5/16 = 0.3125

Answer:

≈ 5.77

Sorry, I can't really explain how to solve it. I suggest watching video tutorials to learn.

Answer:

f(n + 1) = n + 17

Step-by-step explanation:

substitute x = n + 1 into f(x) , that is

f(x) = 2x - x + 16 = x + 16 , then

f(n + 1) = n + 1 + 16 = n + 17

Answer:

f(n)= n+17

Step-by-step explanation:

There are 3003  ways are there to distribute 20 (identical) sticks of red licorice and 15 (identical) sticks of black licorice among five children

What is the real meaning of combination?

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order. Combinations can be confused with permutations.

20C5 = 20!/ 15!5!

         = 20*19*18*17*16 / 5*4*3*2*1

         = 15504

15C5= 15!/ 10!5!

       = 3003

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Answer:

\( 12 + 4\sqrt{6} \)

The result is irrational because \( \sqrt{6} \) is irrational.

Step-by-step explanation:

\( 3\sqrt{16} + 4\sqrt{6} = \)

\(= 3 \times 4 + 4\sqrt{6}\)

\( = 12 + 4\sqrt{6} \)

The result is irrational because \( \sqrt{6} \) is irrational.

Answer: X=2.5,  Y= 6.5

Step-by-step explanation:

It seems the triangle on the left is being transformed and a scale factor of 0.5 or 1/2 is being used since the 6 is half of 12. Therefore you divide 5 by 2 to get 2 and the 13 by 2 to get 6.5.

The dimensions of the pool should be 8 feet deep, 13 feet wide, and 43 feet long.

Let's assume that the depth of the pool is "x".

Given that the width is 5 feet more than the depth, then the width is x + 5.

Also, the length is 35 feet more than the depth, then the length is x + 35.

The volume of the pool is 2000 cubic feet, then:

length x width x depth = 2000

(x + 35) (x + 5) (x) = 2000

x^3 + 40x^2 + 175x - 2000 = 0

We can use trial and error or synthetic division to find that one of the roots of this cubic equation is x = 8.

Therefore, the depth of the pool is 8 feet.

The width is x + 5 = 8 + 5 = 13 feet.

The length is x + 35 = 8 + 35 = 43 feet.

So, the dimensions of the pool should be 8 feet deep, 13 feet wide, and 43 feet long.

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Given

To find:

The average speed of Julian.

Explanation:

It is given that,

That implies,

Therefore,

Hence, the average speed of Jean is 11 km/h.