Greatest common factor

Answers

Answer 1

Step-by-step explanation:

To find the GCD or GCF of two numbers , you should:

List the prime factors of each one of them(the 2 numbers)choose the common number+least exponent multiply them

Related Questions

3. At practice the team wants to know how fast Ryan can skate. He skates 10 laps around the
rink in 3 minutes and, later on in practice he skates 5 laps in 1 minute. What was his
average speed in laps per minute?

Answers

The average speed in laps per minute of Ryan is 2.5 laps per minute

How to determine the average speed in laps per minute?

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

He skates 10 laps around the rink in 3 minutes In practice he skates 5 laps in 1 minute

The above can be expressed as

(x, y) = (1, 5) and (3, 10)

The average speed in laps per minute can be calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Rewrite as

Average speed = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (1, 5) and (3, 10)

Substitute the known values in the above equation

So, we have the following equation

Average speed = (10 - 5)/(3 - 1)

Evaluate

Average speed = 2.5

Hence, the average speed is 2.5

Read more about average speed at

https://brainly.com/question/14335655

#SPJ1

How do you simplify 3/4-2/3?

Answers

Answer:

1/12

Step-by-step explanation:

3/4 - 2/3 = 9/12 - 8/12 = 1/12

Answer:

The answer is 1/12 good luck with the rest

please tell me how to solve!!

Answers

the equation in the form of slope interpretation is y = 1/3x -4.

What is a Linear equation?

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation has the conventional form y = mx + c.

Given data in a table such as it makes a linear equation slope-intercept form of the given equation is y = mx +c

Where m is the slope

c is constant

The slope for the given data

m = (y₂ - y₁) / (x₂ - x₁)

m = (-5 + 6 )/ (-3 + 6)

m = 1/3

Hence, the equation would be

y = 1/3x + c

for constant we would satisfy the equation with other coordinates of the line.

Substituting ( 0, -4) in the above equation

-4 = 0 + c

c = -4

thus, the equation of the line is  y = 1/3x  -4

therefore, the linear equation of the given data is y = 1/3x -4.

Learn more about linear equations here:

https://brainly.com/question/11897796

#SPJ1

Some of company x’s new practices and systems are unethical. Business ethics is a set of codes about how a business should conducts itself. In what ways is company x not applying practices

Answers

By altering schedules without giving adequate notice, terminating employees without giving adequate notice, and making false claims about its products, company x is not adhering to best practises.

Which kinds of codes are examples?

These include bar codes, ISBNs, ASCII codes, postal codes, and bank account numbers; many of these contemporary codes use a checking mechanism, also known as a check digit. The ISBN system, now used uniformly on all new books, is one illustration of this.

How should business ethics be defined?

Adopting sensible company procedures and policies with reference to apparently contentious issues is referred to as practicing business ethics. Corporate governance, market manipulation, bribery, racism, social duty, and fiduciary responsibilities are a few of the topics that come up in an ethical discussion.

To know more about business ethics visit:

https://brainly.com/question/14971689

#SPJ1

Answer:

The first one is right...

Step-by-step explanation:

What’s the pattern? You start with 14 and a half, but then you get 12 and three fourths. How does that happen?

Answers

In math, a pattern is defined as a sequence of repeating objects, shapes or numbers. We can relate a pattern to any type of event or object.

What’s the pattern?

A pattern has a rule that identifies the items that are part of the pattern and those that are not. A pattern in mathematics is a series of recurring figures, shapes, or numbers.

Any kind of event or thing can be connected to a pattern. A pattern has a rule that identifies the items that are part of the pattern and those that are not. A specific set of rules must be taken into account in order to create a full pattern.

We must first comprehend the nature of the sequence and the distinction between the two successive numbers provided in the pattern in order to apply these rules. 

To learn more about pattern refer to:

https://brainly.com/question/27445568

#SPJ1

PLEASE HELP ASAP DUE TODAY

Answers

Answer:

y = -3/4x + 52

y + 6 = -3/4(x-8)

Step-by-step explanation:

y = mx + c

as long as the number is -3/4x , it represents slope -3/

Answer:

B. y = -3/4x + 52, C. y + 6 = -3/4(x - 8), and F. 3x + 4y = 9

Step-by-step explanation:

A. -3x + 4y = -34

y = 3/4x - 17/2

Slope = 3/4

INCORRECT

B. y = -3/4x + 52

Slope = -3/4

CORRECT

C. y + 6 = -3/4(x - 8)

y = -3/4x

Slope = -3/4

CORRECT

D. 4x + 3y = -22

y = -4/3x - 22/3

Slope = -4/3

INCORRECT

E. 4x - 3y = 48

y = 4/3x - 16

Slope = 4/3

INCORRECT

F. 3x + 4y = 9

y = -3/4x + 9/4

Slope = -3/4

CORRECT

G. y - 6 = 3/4(x - 8)

y = 3/4x

Slope = 3/4

INCORRECT

Is a function that can be graphed discrete or continuous?

Answers

Answer:

Discrete

Step-by-step explanation:

Discrete means it has ends, and continuous means it continues on forever.

Find the sketch the domain of the function f(x,y,z) = ln(144 - 9x² - 16y² - z²)

Answers

The domain of the function f(x, y, z) = ln(144 − 9x² − 16y² − z²) is x ∈ (-4, 4), y ∈ (-3, 3) and z ∈ (-12, 12) which forms an ellipsoid.

What is the domain?

Domain of a function is the set of all values possible for the input parameters for real output parameter or output parameter in given range.

Given the function as f(x, y, z) = ln(144 − 9x² − 16y² − z²)

For f(x, y, z) to be real, the function 144 − 9x² − 16y² − z² should be greater than 0. So,

144 − 9x² − 16y² − z² > 0

9x² + 16y² + z² < 144

x²/ 4² + y²/ 3² + z²/ 12² < 1

Therefore, the domain is an ellipsoid.

Therefore x ∈ (-4, 4)

y ∈ (-3, 3)

z ∈ (-12, 12)

To know more on domain;

brainly.com/question/29112282

#SPJ4

The table, the equation, and the graph show the rates at which three different students read in words per
minute. Which student reads faster?

Answers

The student that has the highest reading rate is Student C who has the highest rate of change of the number of words read of 158 words per minute.

What is the rate of change of a function?

The rate of change of a function is the rate at which the output value changes per unit change in the input value.

The possible data and table obtained from a similar question on the website are presented as follows;

Student A

Number of minutes;         [tex]{}[/tex]1              2             3              4

Number of words read; 150        [tex]{}[/tex]300          450          600

Student B

y = 158·x

Where;

x = The time duration in minutes

y = The number of words read by the student

Student C

The points on the graph representing the reading rate of student C are; (2, 280), (3, 420), (5, 700)

The first difference of the number of words read by Student 1 is constant, indicating that the relationship is a linear relationship, with the reading rate obtained by the rate of change of the number of words read as follows;

Reading rate for Student A = (300 - 150)/(2 - 1) = 150

The reading rate for Student A is 150 words per minute

The equation for the reading rate of Student B; y = 158·x, indicates that Student B reads 158 words per minute

The of the straight ling graph for the reading rate of Student C is found as follows;

Slope = (420 - 280)/(3 - 2) = 140

The slope indicates that the number of words read by Student C increases by 140 words every minute, therefore, the reading rate for Student C is 140 words per minute

The student that reads fastest is therefore, Student C who has a reading reading rate of 158 words per minute

Learn more about the slope of the graph of a function here: https://brainly.com/question/13434264

#SPJ1

Steps to solve equation

Answers

An equation may have more than one solution.

What is an equation?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Calculating the value of the unknown variable while keeping the equation balanced on both sides is the process of solving equations. A condition on a variable is an equation when it ensures that two expressions in the variable have the same value. The variable's value for which the equation holds true is referred to as the equation's solution. If the LHS and RHS are switched, an equation doesn't change. The solution is discovered after isolating the variable for which the value must be determined. Depending on the kind of equation we are dealing with, we can solve it. There are various types of equations, including linear, quadratic, rational, and radical ones.

Steps to solve a linear equation:

1. If necessary, remove the parentheses and use the distributive property.

2. By merging like terms, make both sides of the equation simpler.

3. The LCD (least common denominator) of all the fractions should be multiplied by both sides of the equation if there are any fractions.

4. If the equation contains decimals, multiply both sides by the lowest power of 10 to make the result a whole number.

5. Using the addition and subtraction properties of equality, move the constant terms to the other side of the equation and the variable terms to the other.

6. Using the equality properties of multiplication or division, set the variable's coefficient to 1.

7. Get the answer by isolating the variable.

To learn more about the solution of an equation, click on the below link:

https://brainly.com/question/30066982

#SPJ1

can anyone help me out with this question

Answers

Answer:

[tex] \sf \: b) \: 45[/tex]

Step-by-step explanation:

The values given are,

→ u = 7

→ d = 10

→ e = 3.2

Now the expression is,

→ 15(d - u)

Evaluating the expression,

→ 15(d - u)

→ 15(10 - 7)

→ 15 × 3

→ 45

Hence, option (b) is correct.

Answer:45

Step-by-step explanation:

15(10-7)

15(3)

multiply and get 45

how many positive 10 digit numbers can you make using seven ones and three zeros

Answers

The number of positive 10 digit numbers that can be made using seven ones and three zeros is; 28

How to solve probability combinations?

We want to find the number of positive 10 digit numbers that can be made using seven ones and three zeros.

Now, the leftmost position digit cannot be 0 and as such it is 1, due to the fact that there are no other possibilities.

The rightmost position therefore must be 0 in order to fill the need for an even number.

Thus, we have 8 remaining positions that we need to fill with six ones and two zeros using an arbitrary manner.

This means that we can place two digits of zero among 8 positions by using combination formula as;

⁸C₂ = 8!/(2! * 6*)

= 28 different ways

Read more about Probability Combinations at; https://brainly.com/question/3901018

#SPJ1

Show that 100 divided by 20 is 5, using at least five daily life examples.​​

Answers

The 5 life examples are:

You have 100 pieces of candy and you want to divide them equally among 20 people. Each person would get 100/20 = 5 pieces of candy.A pizza is cut into 100 slices, and you want to divide it evenly among 20 people. Each person would get 100/20 = 5 slices of pizza.You have 100 dollars and you want to spend them on 20 items at the same price. Each item would cost 100/20 = 5 dollars.You want to divide a 100-minute task into 20 equal parts. Each part would take 100/20 = 5 minutes.You are scheduling 100 appointments in a day and you want to divide them into 20-hour blocks. Each block would have 100/20 = 5 appointments.

What are the Life examples about?

In all these life examples that are listed above, the number 100 is divided by 20 giving 5 as the result. which is said to be:

100/20

= 5.

Therefore, reason behind this is that the number 20, in these life examples, is a representative of a whole value and the number 5 represents the number of parts it is being divided into, so when you multiply 20 by 5, you get 100, which represents the total of these five parts. So, 100 is related to 20 in this context as the multiple of 20 and 5.

Learn more about division from

https://brainly.com/question/28768606

#SPJ1

A woman has 31 coins in her pocket, all of which are dimes and quarters. If the total value of the coins is $ 5.20, how many dimes and how many quarters does she have?

Answers

Answer:

D+Q = 31

10D + 25Q = 595

10D + 10Q = 310

subtract to get

15Q = 285 Q = 285/15 = 19 quarters D = 31-19 = 12 dimes

Which graph represents a function?

Answers

Answer:

The fourth graph since it passes the vertical line test.

Each input has one output.

Hope this helps :)

Yesss the fourth graph is the correncg answer yess your welcome I think that’s the correct answer

2 Log y= 1/2 Log 16-Log 2 + 2 Log 3​

Answers

Answer:

Based on the given equation, the function g is an exponential function with base 2. The y-intercept of the function g is at (0, 4).

The graph of function f is not described, so it is not possible to accurately compare the two functions. In order to accurately compare the two functions, it would be helpful to have more information about the graph of function f, such as the vertex and any other points that the graph passes through.

What is the domain of the function with the graph given below?

Answers

Answer:

(-∞, 1] or {x|x<=1}

Step-by-step explanation:

how many times does 12 go into 72

Answers

Answer:

Step-by-step explanation:

6

Please help me with these questions if can explain i am a bit confused at it

Answers

On solving the provided question, we can say that - he re the slope value is using the formula y/x = k => [tex]k = 2/3[/tex]

what is slope?

A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x). The ratio of the vertical change (rise) between two points to the horizontal change (run) between the same two places is referred to as the slope. The slope-intercept form of an equation is used to represent each time a straight line's equation is stated as y = mx + b. The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).

Use the point (3, 2) and divide y by x using the formula y/x = k.

[tex]k = 2/3[/tex]

To know more about slope visit:

https://brainly.com/question/3605446

#SPJ1

Scatterplot Question

Answers

1) The equation of a line of best fit is; y = -1.15x + 102.8

2) The predicted monthly cost for an average temperature of 25°F is $74.05

How to find the equation of the line of best fit?

The equation of a line of best fit is represented by the equation;

y = mx + c

where;

m is the slope

c is the y-intercept

1. To calculate the slope here, we will use the formula;

Slope = (y₂ - y₁)/(x₂ - x₁)

Using two coordinate points on the scatter plot, (72, 20) and (20, 80), we have the slope as;

Slope (m) = (80 - 20)/(20 - 72)

Slope = 60/-52

Slope = -1.15.

Plug in -1.15 for m and (a, b) = (72, 20) into the formula; y = mx + c to get;

20 = -1.15(72) + c

c = 20 + 82.8

c = 102.8

The equation  will now be;

y = -1.15x + 102.8

2. Monthly heating cost, y, for a month with an average temperature of 25°F (x) will be calculated by plugging in 25 for x in the equation of line of best fit gotten earlier to get;

y = -1.15(25) + 102.8

y = 102.8 - 28.75

y = $74.05

Read more about Equation of Line of best fit at; https://brainly.com/question/26127204

#SPJ1

Nancy wanted to find the volume of a cubiod she measured the length of the cubiod as 11 cm and width as 8cm and the height as

Answers

When Nancy wanted to find the volume of a cuboid, the volume is 352cm³.

How to calculate the volume?

Word problem simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

Since Nancy wanted to find the volume of a cubiod she measured the length of the cubiod as 11 cm and width as 8cm and the height as 4cm.

The volume will be:

= Length × Width × Height

= 11cm × 8cm × 4cm

= 352cm³

Learn more about volume on;

brainly.com/question/463363

#SPJ1

Complete question

Nancy wanted to find the volume of a cubiod she measured the length of the cubiod as 11 cm and width as 8cm and the height as 4cm. Find the. volume

My new year's resolution using mathematics word essay 200 words

Answers

This year, I have resolved to improve my mathematical skills. I understand that mathematics is a fundamental skill that is used in many aspects of life, and I want to be more proficient in it.

To achieve this goal, I plan to set aside time each week to practice and study math. I will start by reviewing basic concepts and then move on to more advanced topics. I will also try to find real-life situations where I can apply my mathematical knowledge, such as budgeting and calculating distances and speeds.

In addition to self-study, I plan to seek out opportunities to learn from others. This might involve taking a math class at a local college or finding a tutor to help me with specific concepts that I struggle with.

I am confident that with dedication and hard work, I can make significant progress in my mathematical abilities. By the end of the year, I hope to have a stronger foundation in math that will benefit me in both my personal and professional endeavors.

I need help with this?

Answers

The first equation will be multiplied by 3 and that of the second by 4.

What is an elimination method?

An elimination method is a process of solving a system of linear equation, in this we make coefficients of the one variable equal and subtract the equations.

Given that are two equations to be solved by using elimination method,

-4x+4y = 32.....(i)

3x-y = 12......(ii)

To eliminate x, we will multiply eq(i) by 3 and eq(ii) by 4

-12x+12y = 96.....(iii)

12x-4y = 48....(iv)

Solving the equations, we get,

8y = 144

y = 18

Put y = 18 in eq (ii)

3x-18 = 12

3x = 30

x = 10

Hence, the first equation will be multiplied by 3 and that of the second by 4.

Learn more about elimination method, click;

https://brainly.com/question/12090959

#SPJ1

Question 1 of 10
Which choices are equivalent to the expression below? Check all that apply.
√5. √20

A. 100
B. 5.2
C. 10
D. √5 √√5√4
E. √5 20
F. √25
.
SUBMIT

Answers

Choices that is equivalent to the expression √5. √20 is 5.2

Define equivalence.

In mathematics, the word "equivalent" designates two quantities, numbers, or meanings that are the same. A bar across an equivalent sign or Equivalent Sign shall be used to indicate the equivalence of two such quantities. Additionally, it denotes the logical equivalent of two values or a group of quantities.

Define expression.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

x= (5)^1/2*(20)^1/2

x= (5)^1/2*(2.2.5)^1/2

x=5.2

So B is the correct option.

To learn more about equivalent expression visit the link:

https://brainly.com/question/24734894

#SPJ1

The first modern Olympic games were held in Greece 1896. The 2004 Olympic games in Athens had 202 participating countries. The number of countries in the 2004 Olympic games was more than 14 times the number of countries in the 1896 games. How many countries participated in the 1896 Olympic games?​

Answers

Answer: To solve this problem, we can use the information provided to set up and solve an equation. Let x be the number of countries that participated in the 1896 Olympic games.

According to the problem, we know that the number of countries in the 2004 Olympic games was more than 14 times the number of countries in the 1896 games. So we can write the following equation:

x * 14 < 202

To solve for x, we can divide both sides of the inequality by 14:

x < 202/14

x < 14.43

x is the number of countries, it must be an integer.

so x = 14

Therefore, 14 countries participated in the 1896 Olympic games.

Step-by-step explanation:

Please help me solve

Answers

On solving the provided question, we can say that - the linear equation

y=mx+b = [tex]y=6.4(82)+1900= > y=524.8+1900= > y=2424.8[/tex]

What is a linear equation?

The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

y=mx+b

x=gallons of fuel

y=total weight of plane including fuel

m=slope=6.4

b=weight of plane, no fuel....a constant to be calc'd

[tex]y=mx+b\\2245.6=6.4(54)+b\\2245.6=345.6+b\\ b=1900\\ y=6.4x+1900\\ y=6.4x+1900\\ y=6.4(82)+1900\\ y=524.8+1900\\ y=2424.8[/tex]

82gallons fuel is 2424.80 lbs

To know more about linear equation visit:

https://brainly.com/question/11897796

#SPJ1

Only question b

b) Write down the output y in terms of x

Input = x > +7 > x5 > Output = y

Answers

Therefore ,As a result, y = 5x + 35 is the equation that gives the answer to the given algebra issue.

Algebra: What Is It?

Algebra is used to analyze mathematical symbols, and logic is used to manipulate those symbols. The PEMDAS rule stands for the following operations: parenthesis, exponent, multiplication, division, addition, and subtraction. This rule is applied to solve the equation properly and accurately.

Here,

In this case, the equation for y in terms of x will be as follows:

y = 5(x + 7)

If you make the equation simpler, you get

y = 5(x + 7)

y = 5x + 35

y will have the linear equation y = 5x + 35 in terms of x.

Therefore , As a result, y = 5x + 35 is the equation that gives the answer to the given algebraic issue.

To learn more about the Algebra visit:

brainly.com/question/953809

#SPJ1

Find ALL the missing sides and angles of this triangle.
12
40°
A
B
90°
60°
50°
:: 40*
20°
#: 5.3
12
:: 6.4
#: 7.7
:: 9.2
#: 3.6
#: 8.5

Answers

Answer:

Step-by-step explanation:

sin40°=[tex]\frac{AC}{12}[/tex]
⇒AC=sin40°×12

⇒AC=7.713≈7.7
cos40°=[tex]\frac{AB}{12}[/tex]
⇒AB=cos40°×12

⇒AB=9.192≈9.2

as A=90°,B=40°

from A+B+C=180°

we can write C=180°-90°-40°

⇒C=50°

In triangle ABC, angle A is 37° and angle B is 24*. Select all triangles which are similar to triangle ABC.

D triangle DEF where angle Dis 37° and angle E is 24
• triangle GHI where angle G is 37" and angle I is 34°
O triangle JKL where angle J is 35" and angle L is 125*
• triangle MNO where angle Nis 24* and angle E is 119
O triangle POR where angle O is 24° and angle R is 30

Answers

Answer:

Triangles DEF and JKL are similar to triangle ABC because they have corresponding angles with the same measure.

Step-by-step explanation:

Triangles DEF and JKL are similar to triangle ABC because they have corresponding angles with the same measure.

•The Triangle GHI is not similar to triangle ABC because the measure of angle G does not match the measure of angle A.

•The Triangle MNO is not similar to triangle ABC because the measure of angle N does not match the measure of angle B.

• The Triangle POR is not similar to triangle ABC because the measure of angle R does not match the measure of angle A or B.

To learn more about traingles :-

https://brainly.com/question/21752738?referrer=searchResults

https://brainly.com/question/8141142?referrer=searchResults

prime numbers of the form p and p+2, where p is a prime number, are known as ______ prime numbers

Answers

Prime numbers of the form p and p+2, where p is a prime number, are known as twin prime numbers.

What is the Prime numbers about?

A twin prime is a prime number that is either 2 less or 2 more than another prime number. For example, the number 3 and 5 are twin primes, because they are both prime and the number 5 is 2 more than 3. Similarly, the number 5 and 7 are also twin primes, because they are both prime and the number 7 is 2 more than 5.

Therefore, Twin primes are considered as interesting numbers in number theory because of their relative rarity, rare in nature and because they are the building blocks for certain types of primes such as Sophie Germain primes and safe primes.

Learn more about Prime numbers from

https://brainly.com/question/792663

#SPJ1

Other Questions
What is the term used to describe nonrenewable groundwater reserves formed in the distant past that are no longer being replenished because of geologic and climatic changes Ninety percent of the world's population growth in the next century is expected to occur inA. less-developed countries.B. China.C. developed countries.D. moderately-developed nations.E. India Explain how the naturalization process has impacted our society, government and our political process. Include in your answer the Voting Rights Act of 1965. Id love you he help for all of it but ill take what I can get I need help can sombody see if this part of the story i have to right for english is good.Please and thank you Select the correct text in the passage. in this excerpt from "ode on a grecian urn" by john keats, which four parts reflect the theme that art is immortal? heard melodies are sweet, but those unheard are sweeter; therefore, ye soft pipes, play on; not to the sensual ear, but, more endear'd, pipe to the spirit ditties of no tone: fair youth, beneath the trees, thou canst not leave thy song, nor ever can those trees be bare; bold lover, never, never canst thou kiss, though winning near the goal yet, do not grieve; she cannot fade, though thou hast not thy bliss, for ever wilt thou love, and she be fair! Each grid square is 1 square unit. Find the area, in square units, of the shape without counting every square. Be prepared to explain your reasoning. Les mlange et le transformations de la matiers If a business discovered that changing the price of its muffins created an absolute value of .35 < 1, what did its price change mean What is the difference of polynomial and equation with example? This leader of Germany let his peace treaty with Russia expire, which forced Russia to join alliances with Great Britain and France. Who is he? add a comma to the sentence below. yes we will take w trip to the mall this afternoon How did artists influence the financial success of Florence? Describe the method some artists used during the 14th century. Why does Snowball want a windmill? Does rain occur most often in warm air masses, cold air masses or at warm fronts where two meet and interact? lbert uses FedEx in a scheme to defraud Global Sales Company by obtaining merchandise to which he is not entitled. -Found guilty of mail fraud, Elbert can be punished by jumprisonment for up to fifty years. b. imprisonment for up to twenty years and/or fines. Pages c. fines up to $5 million, d. none of the choices. you will break even when the cost of your supplies your income. How many cups of hot chocolate must you sell to break even' What connotations (implied meaning) does the word 'vigil' carry in the poem, "Vigil Strange I Kept One Night" by Whitman Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of (no approximations). do gangs add any value to a neighborhood or community why or why not