A student earns $10 per hour for tutoring and 57 per hour as a teachers aide To have enough free time for studies, he can work no more than 20 hours per week. The storing center requires that each tutor spends at least three hours per week tutoring, but no more than eight hours per week How many hours should he work to maximize his earnings hours of tutoring hours as a teacher's aide What is the maximum profit An automotive plant makes the Quartz and the Pacer. The plant has a maximum production capacity of 1200 cars per week, and they can make at most 600 Quartz cars and 800 Pacers each week. If the profit on a Quartz is $500 and the profit on a Pacer is $800, find how many of each type of car the plant should produce. Quartz Pacers What is the maximum profit? A manufacturer of ski clothing makes ski pants and ski jackets. The profit on a pair of ski pants is $2.00 and the profit on a jacket is $1.50. Both pants and jackets require the work of sewing operators and cutters. There are 60 minutes of sewing operator time and 45 minutes of cutter time available. It takes 8 minutes to sew one pair of ski pants and 4 minutes to sew one jacket. Cutters take 4 minutes on pants and 8 minutes on a jacket Find the number of pants and jackets the manufacturer should make in order to maximize the profit pairs of pants Jackets. What is the maximum profits ?

It will take 5 minutes to print a batch of newspapers if 20 printers are used.

What is proportionality?

Proportionality is a mathematical relationship between two variables, where one variable is a constant multiple of the other. In other words, two quantities are proportional if they maintain a constant ratio to each other, meaning that as one quantity increases or decreases, the other quantity changes in the same proportion.

We are given that the time it takes to print a batch of newspapers, m, is inversely proportional to the number of printers used, n, and the equation of proportionality is:

m = k/n

where k is a constant of proportionality. We are also given that when k = 100, the equation is satisfied. So we can substitute k = 100 into the equation to get:

m = 100/n

To find the time it will take to print a batch of newspapers if 20 printers are used, we can substitute n = 20 into the equation:

m = 100/20 = 5

So it will take 5 minutes to print a batch of newspapers if 20 printers are used. Rounded to 1 decimal place, the answer is 5.0 minutes.

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Answer:

three hundred divided by two

Answer:

i think 450

Step-by-step explanation:

Answer:

Natural Numbers are basically "counting numbers". If I ask you to start counting, you'll start at 1, then 2, then 3, and so on. It doesn't include 0 or any negative numbers because you wouldn't start from -10 when asked to count.

Answer:

-7 is negative so it cannot be a natural number, but it is an integer. An integer is a whole number, this means that it does not have any decimal places or fractions. However, a natural number must be a whole non-zero number and positive. This is because natural numbers are numbers found naturally in measurements or in counting. Additionally, all natural numbers are integers but not all integers are natural numbers. For example, -3 would be an integer, 9 would be an integer and a natural number, and 7.6 would be neither.

The utilitarian hedonistic calculus is a system that attempts to determine the morality of an action based on its overall utility and the resulting pleasure or happiness it produces. The factors that are considered in this calculus include the intensity, duration, certainty or uncertainty, propinquity or remoteness, fecundity, purity, and extent of the pleasure or pain that will result from the action.

However, there is one factor that is not considered in the utilitarian hedonistic calculus, and that is the individuality of the persons involved. This means that the calculus does not take into account the unique qualities, desires, and preferences of the individuals affected by the action. Instead, it treats them all as if they were interchangeable and equally capable of experiencing pleasure or pain.

This lack of consideration for individuality has been criticized as a weakness of the utilitarian hedonistic calculus, as it can lead to outcomes that are unfair or unjust. For example, the calculus might suggest that it is acceptable to sacrifice the happiness of a minority group for the greater good of the majority, even if this violates their rights and dignity as individuals.

In summary, the utilitarian hedonistic calculus does not factor in individuality as a consideration in determining the morality of an action.

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The given statement, "The law of diminishing marginal product helps to explain why supply curves are generally upward sloping," is false (F) because it suppose to be the law of supply, not the law of diminishing.

The statement is indeed false because it confuses the law of diminishing marginal returns with the law of supply. The law of diminishing marginal returns states that as more units of a variable input are added to a fixed input, the marginal product of the variable input will eventually decrease. This law is important in production theory but has no direct relationship with the shape of supply curves.

On the other hand, the law of supply states that as the price of a good or service increases, the quantity supplied by producers will also increase. This is due to the fact that producers are willing to produce more at higher prices in order to maximize their profits.

Therefore, the upward slope of supply curves is a result of the law of supply, not the law of diminishing marginal returns.

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Answer:

around 18 units

Step-by-step explanation:

62 inches is equal to 5.1667 feet. both are unit of measurement of length.

To convert inches to feet, divide the number of inches by 12 using the conversion factor 1/12. This is because one foot is equal to 12 inches. This method can be used to convert any number of inches to feet by multiplying the number of inches by 1/12.

In this way, you can easily and quickly convert any number of inches to feet on a calculator or by hand. Additionally, it is also an important conversion to know and understand in order to work with measurements in the imperial system as well as metric system.

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Answer:

1.

\( - 2x + 24 = 93 \\ 2x - 24 = - 93 \\ 2x = - 69 \\ x = - 34.5\)

2.

\(1.5x - 1.1 = 3.4 \\ 1.5x = 4.5 \\ x = 3\)

A hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. The statement that is true is, a hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. A hypothesis is a suggested explanation of a phenomenon or observed data that is testable.

Hypotheses are more detailed, and are written to explain precisely what you think is going to occur in your research and the reason for that prediction. A hypothesis will be rejected if it does not fit the data, whereas a theory will be modified to fit the data.

A hypothesis is more like a forecast, and a theory is more like a law that explains how certain events operate. Thus, we can conclude that a hypothesis is a specific prediction arising from the theory.

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a) The time required to assemble the 8th unit is 0.876 hours.

b) The total time required to assemble the last 5 units is 1.752 hours

(a) the time required to assemble the 8th unit.

To solve this, we can first find the time required to assemble 7 units and then subtract it from the time required to assemble 8 units.

Time required to assemble the first unit = 3 hours

Given, the time required to assemble the 6th unit = 1 hour and 23 minutes = 1 + 23/60 hours = 1.383 hours

Average time required to assemble 1 unhours production= [(time required to assemble the first unit) + (time required to assemble the sixth unit)]/5= [(3) + (1.383)]/5= 0.876 hours

Time required to assemble 7 units= 7 × 0.876= 6.132 hours

Now, time required to assemble the 8th unit= Time required to assemble 8 units - Time required to assemble 7 units= 8 × 0.876 - 6.132= 7.008 - 6.132= 0.876 hours

(b) the total time required to assemble the last 5 units.

We have already calculated the time required to assemble the first 6 units.

Time required to assemble the first 6 units= 6 × 0.876= 5.256 hours

Now, the total time required to assemble the last 5 units= Time required to assemble 8 units - Time required to assemble the first 6 units= 8 × 0.876 - 5.256= 7.008 - 5.256= 1.752 hours

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A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. To find out how many prime numbers there are between 30 and 50, we need to check each of the numbers from 30 to 50 to see if it is a prime number.

A prime number is a number that is only divisible by 1 and itself. The prime numbers between 30 and 50 are: 31, 37, 41, 43, and 47.

Therefore, there are 5 prime numbers between 30 and 50.

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Answer:

180 degrees

Step-by-step explanation:

because NJK adds up to 180 degrees and a circle is 360 degrees. Hope this helped :)

Answer:

y=-4

Step-by-step explanation:

The answer is going to be -4 as when y=-16 x=8.

Answer: i believe it is 12x²−2x−2

Step-by-step explanation:

(4x−2)(3x+1)

=(4x+−2)(3x+1)

=(4x)(3x)+(4x)(1)+(−2)(3x)+(−2)(1)

=12x²+4x−6x−2

=12x²−2x−2

hope this helps :)

Answer:

exact form : 49/12 mixed number : 4 1/2

Step-by-step explanation:

^-^

Answer:

2 1/3

Step-by-step explanation:

−7/12 ÷ −1/4

−7/12 ×4/1 =

-28/12

and in simplified form is 2 1/3

:\(\implies\) \(\sf 3x = 27⁰\)

:\(\implies\) \(\sf x = \dfrac{27}{3}\)

:\(\implies\) \(\sf x = 9\)

c.) x = 9⁰, angle measure is 27⁰

Answer:

for 3644 produced books the costs will be the same.

Step-by-step explanation:

x = number of books

f(x) = production method 1 costs

g(x) = production method 2 costs

f(x) = 11.75x + 57077

g(x) = 21.25x + 22459

for what number of books (x) will that be the same ?

11.75x + 57077 = 21.25x + 22459

34618 = 9.5x

x = 34618 / 9.5 = 3644

The inequality to represent the last statement that was made by Mai will be t <= 2.

It should be noted that an equation simply means the relationship that can be used to show the relationship among the variables.

It should be noted that the last statement made by Mai is that I think triathlon athletes generally train for no more than 2 hours a day.

Therefore, the inequality to represent this will be t <= 2.

where t = number of hours trained.

This implies that t is less than or equal to 2 hours

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Mai said, "I'm not sure the graph is right. For example, the point is in the shaded region, but it's not realistic for an athlete to swim for 10 hours and bike for 3 hours in a training session! I think triathlon athletes generally train for no more than 2 hours a day."

Write an inequality to represent Mai's last statement.

Answer:

Step-by-step explanation:

3 inches of snow per hour. Hope that helps

Answer:

3 inches I am pretty sure just divide 9 by 3

Answer: 1.3 seconds

Step-by-step explanation:

Given: Distance of the moon to the Earth = 384,400 km = 384400 x 1000 meters = 384400000 meters.  [1 km = 1000 m]

Speed of light =\(2.998 \times 10^8\)  m/s = 299800000 m/s

Formula: \(\text{Time}=\dfrac{\text{Distance}}{\text{Speed}}\)

Let t be the time taken by the light to travel from the moon to the Earth.

\(t=\dfrac{384400000}{299800000}\approx1.3\text{ seconds}\)

Hence, it will take approximately 1.3 seconds for the light to travel from the moon to the Earth.

The total paving cost would depend on the specific measurements and dimensions of the section, which are not provided in the question. Therefore, the exact total paving cost cannot be determined without this information.

The question describes a series of fractional divisions of a section, but it does not provide any numerical values for the measurements. Without knowing the actual dimensions or the area of the section, it is impossible to calculate the total paving cost.

The cost per square foot is given as $2.25, which would need to be multiplied by the area of the section to determine the total cost. However, since the measurements are not provided, a precise answer cannot be given.

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Answer:

2

Step-by-step explanation:

you're dividing 3/4 into the first, so it works because you're asking how many would fit into it, which is simply multiplication.

There are 64 different two-digit numbers that can be formed using the digits 3,9,4,7,6,1,2 and 8 with repetition.

To see why, note that there are 8 possible choices for the first digit (any of the 8 given digits can be used) and 8 possible choices for the second digit (again, any of the 8 given digits can be used). Therefore, by the multiplication principle of counting, there are 8x8=64 possible two-digit numbers that can be formed.

To find all possible two-digit numbers, simply list all possible combinations of the given digits, allowing repetition. One example would be: 11, 12, 13, ..., 98, 99.

Alternatively, you can use the formula for counting with repetition, which is n^k where n is the number of choices for each digit and k is the number of digits. In this case, n=8 (since there are 8 possible digits) and k=2 (since we want two-digit numbers). Therefore, the total number of possible two-digit numbers is 8^2=64.

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Answer:

A≈314.16m²

Step-by-step explanation:

I think this is right

Answer:

TV = 9.71

Step-by-step explanation:

sin 47° = TV/13.28

0.7314 = TV/13.28

TV = 9.71

Using the formula of area of a circle, about 226.08in² has been eaten

The diameter of the pizza is given as 24 inches. To calculate the area of the entire pizza, we need to use the formula for the area of a circle:

Area = π * r²

where π is approximately 3.14 and r is the radius of the circle.

Given that the diameter is 24 inches, the radius (r) would be half of the diameter, which is 12 inches.

Let's calculate the area of the entire pizza first:

Area = 3.14 * 12²

Area = 3.14 * 144

Area ≈ 452.16 square inches

Now, if half of the pizza is consumed, we need to calculate the area of half of the pizza. To do that, we divide the area of the entire pizza by 2:

Area of half of the pizza = 452.16 / 2

Area of half of the pizza ≈ 226.08 square inches

Therefore, if half of the pizza is consumed, approximately 226.08 square inches of pizza would be eaten.

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