A teacher charges $2 for a
pencil to student who forgot to
bring one to class. If Nelson was
charged at least $30, how many
times did he forget his pencil?

The volume of the cone is 64π

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

Height, h = 12 m

Radius, r = 4 m

The volume is calculated s

V = 1/3πr²h

Substitute the known values in the above equation, so, we have the following representation

V = 1/3π * 4² * 12

Evaluate

V = 64π

Hence, the volume is 64π

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Answer:

    [tex]x - y = 14[/tex]

    [tex]x + y = 58[/tex]

Step-by-step explanation:

x = Number of tickets

y = Number of tickets your friend sells

Together, you and your friend sell 58 tickets: [tex]x + y = 58[/tex]

You sell 14 more tickets than your friend:        [tex]x = y + 14[/tex]
                                                                           = [tex]x -y = 14[/tex]

∴System of linear equations:

                     [tex]x - y = 14[/tex]….(equation i)

                     [tex]x + y = 58[/tex]….(equation ii)

The cost when the two plans cost the same for a set number of minutes is $36. Option C is correct.

Two or more expressions with an Equal sign is called as Equation.

Plan A costs $30 plus an additional $0.03 for each minute of calls.

This can be expressed in equation as

y=30+0.03x

Plan B has no initial fee but costs $0.18 for each minute of calls.

y=0.17x

Now we have to find the cost when the two plans cost the same for a set number of minutes

30+0.03x=0.18x

30=0.18x-0.03x

30=0.15x

Divide both sides by 0.15

x=200

when the number of minutes of calls is 200, the two plans cost the same.

To find the cost when the two plans cost the same,

we can substitute x = 200 into either expression for Cost_A or Cost_B:

Cost_A = 30 + 0.03(200) = $36

Cost_B = 0.18(200) = $36

Therefore, the cost when the two plans cost the same for a set number of minutes is $36. Option C is correct.

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Answer:

  105°

Step-by-step explanation:

You want the measure of the remaining angles of a pentagon if one of the angles is 120° and the remaining angles are congruent to each other.

The sum of the interior angles of a pentagon is 180* × (5 -2) = 540°. If one of the angles is 120°, the sum of the other four is ...

  540° -120° = 420°

Then each of those four congruent angles has a measure of ...

  420°/4 = 105°

The size of the other angles is 105°.

The volume of the cone with a base diameter of 6in and height of 6in is 6π in³.

The volume of a cone is expressed as;

V = (1/3)πr²h

Where r is radius of the base, h is the height of the cone and π is constant pi.

Given the data in the diagram;

Plug the given values into the above formula and solve for the volume of the cone.

V = (1/3) × π × r² × h

V = (1/3) × π × ( 3in )² × 6in

V = 18π/3 in³

V = 6π in³

Therefore, the volume of the cone is 6π cubic inches.

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Check the picture below.

A. 63

The angle shown is 90 degrees, if you take 90 and subtract 27 you get 63.

The probability that the number cube and the card have the same number is 2/39.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Outcomes of cube = { 1, 2, 3, 4, 5, 6}

Outcome of Card = {1, 2, 3} from each group.

So, we have three number both in common as {1, 2, 3}

So, the probability that the number cube and the card have the same number is

= 1/6 x 16/52

= 8/156

= 2/39

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Answer:

2 boys must be vegetarian.

If all 34 girls were vegetarian, there would have to be 2 boys to add up to 36.

Answer:

VII

Step-by-step explanation:

The simplified form of the expression √50 - √2 is 4√2.

Given the expression in the question;

√50 - √2

To evaluate, first we simplify each term

√50 - √2

Factor out 25 from 50

√( 25(2) ) - √2

Now, rewrite 25 as 5²

√( 5²(2) ) - √2

Take the square root of 5² to pull it out of the radical

5√2 - √2

Now, subtract √2 from 5√2

4√2

Therefore, the simplified form is 4√2.

Option C) 4√2 is the correct answer.

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Answer:

-2

Step-by-step explanation:

?

The algebraic fraction which is an equivalent fraction with the denominator 24a^3b^2 is 15b/24a^3.

To find an equivalent fraction with the denominator 24a^3b^2, we need to find a common denominator for the two fractions 5b and 8a^3. This common denominator is 24a^3b^2.

To find an equivalent fraction for 5b, we can multiply both the numerator and denominator by the same factor to obtain the desired denominator. To do this, we need to find a factor that would give us a denominator of 24a^3b^2 when multiplied with 8a^3.

The factor that would give us a denominator of 24a^3b^2 is 3.

So, the equivalent fraction for 5b with the denominator 24a^3b^2 is (5b * 3)/(8a^3 * 3) = 15b/24a^3.

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Answer:

543 fee

Step-by-step explanation:

The difference between 535 and -8 is the distance between them, but it is not specified in what unit this distance should be measured. If you meant to find the difference in feet, then:

535 - (-8) = 535 + 8 = 543

So the distance between 535 and -8 in feet is 543 feet.

Answer:

y= 6x+50

Step-by-step explanation:

y= 6x+50

The total weight of the four heaviest eggs, in ounces, is 8 ³ / ₄ ounces .

Given the line plot, the weights of the heaviest eggs are :
2 ¹ / ₂ , 2 ¹ / ₄ , 2, 2

This is because these are the highest numbers on the line plot.

The total weight of these four heaviest eggs is :

= 2 ¹ / ₂ +  2 ¹ / ₄ +  2 + 2

= 4 ³ / ₄ + 4

= 8 ³ / ₄ ounces

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The professions such as doctors, engineers (particularly in fields such as petroleum, software, or aerospace), and certain types of business executives tend to have some of the highest earning potentials.

The income of a job or profession can vary widely based on a variety of factors, such as location, experience, education, and demand.

According to the Bureau of Labor Statistics (BLS) in the United States, the highest-paying occupations as of 2021 are typically in the medical, dental, and managerial fields, with physicians and surgeons ranking as the highest-earning profession. However, it's important to note that there are many other factors that can impact earnings, such as the specific field of medicine, the size and type of organization or company, and geographic location.

Ultimately, the earning potential of a job or profession can depend on a wide range of factors, and it's important to research and consider all of them when deciding on a career path.

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Answer:

see image,

Area = 5 units^2

Step-by-step explanation:

Graph three points to make a triangle.

Use

Area = 1/2•b•h

to find the area.

Fortunately, the base is horizontal and the height is vertical, so we can just count the squares to find those lengths. (If they aren't horizontal and vertical, then you need distance formulas)

see image.

Step-by-step explanation:

You can make a ratio. Put the first part of the question together and put the second part together.

[tex] \frac{75}{90} = \frac{x}{30} [/tex]

Next we cross multiply

[tex](75)(30) = 90x[/tex]

[tex]2250 = 90x[/tex]

Lastly we divide by 90

[tex]x = 25[/tex]

The statement that describes the relationship is: option B.

The situation that can be represented by the equation y = 12x is: B. "Yvonne has y dollars. This is one half more dollars than her friend Marie who has x dollars."

In the equation y = 13x, y is equal to 13 times x. This means that y increases by a factor of 13 for every increase in x.

In the equation y = x + 13, y is equal to x plus 13. This means that y is always 13 more than x.

Therefore, the answer is:

B. "In y = 13x, the value of y is 13 times the value of x, and in y = x + 13, the value of y is 13 more than the value of x."

The equation y = 12x means that y is equal to 12 times x. In the given situation, Yvonne has y dollars and Marie has x dollars. Yvonne has 12 times more dollars than Marie, and one half more than Marie. Therefore, the situation can be represented by y = 12x.

The correct answer is:

B. "Yvonne has y dollars. This is one half more dollars than her friend Marie who has x dollars."

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Answer:

she can only invite 20 people max

Step-by-step explanation:

2.50x20= 50 + fee =100

The population be 1,152 hours from now will be 17200

Exponential growth is a process of increasing a quantity over time. It occurs when the rate of change of a quantity with respect to time is proportional to the itself.

Given that, the number of bacteria in a colony doubles every 384 hours and there is currently a population of 2,150 bacteria,

The exponential growth law for this problem is :-

p(t) = 2150(2)ⁿ/₃₈₄

where t is in hours. Plug t = 1152 into the equation and evaluate.

p(1152) = 2150(2)¹¹⁵²/₃₈₄

= 2150(2)³

= 17200

Hence, the population be 1,152 hours from now will be 17200

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1. The values of x in the equation are 1 and 10.

2. The values of x are 1 and -4.

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

1. y = x²

y = 11x - 10

Combine both variables

x² - 11x + 10

x² - x - 10x + 10

x(x - 1) - 10(x - 1)

x - 10 and x - 1 = 0

x = 10 and 1

2. y = x².

y + 3x = 4

x² + 3x - 4

x² +4x - x - 4

x(x + 4) - 1(x + 4)

(x - 1)(x + 4)

x = 1 and -4

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Answer:

We can solve for y in the equation y = 2y - 2 by substituting y = 2x - 5.

Starting with y = 2y - 2, we substitute y = 2x - 5:

2x - 5 = 2(2x - 5) - 2

Expanding the right side:

2x - 5 = 4x - 12

Next, we isolate y by subtracting 2x from both sides:

-2x - 5 = 4x - 12

Adding 2x to both sides:

-5 = 6x - 12

Adding 12 to both sides:

7 = 6x

Finally, we divide both sides by 6 to solve for x:

x = 7/6

So, y = 2x - 5 = 2(7/6) - 5 = 7/3 - 5 = -14/3.

Therefore, y = -14/3 is the solution to the system of equations y = 2y - 2 and y = 2x - 5.

Step-by-step explanation:

Answer:

4.72

Step-by-step explanation:

for essy calculation remove the decimal point

[tex] \frac{0.18}{100} [/tex]

=

[tex] \frac{18}{100} [/tex]

then multiply by 4

you will get

[tex] \frac{18 }{25} [/tex]

= 4.72

Answer: its 270.1087 degrees

Step-by-step explanation:

The probability that the bag is not orange is given as follows:

p = 5/12.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

In this problem, the parameters are given as follows:

Hence the probability that the bag is not orange is given as follows:

p = 5/12.

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