i need to solve this so can you pls hlp

I Need To Solve This So Can You Pls Hlp

Answers

Answer 1

Answer: D

Step-by-step explanation: x is a variable, and so is the number of tractors he sells. he is going to get paid $1000 for sure each month.

So 150x(the number of tractors) + 1000(his pay each month)


Related Questions

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.

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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

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

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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

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

find angle D thank you so much need help. geomtry

Answers

The angle m∠D of the triangle is 78 degrees.

How to find the angles of a triangle?

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

The ΔKDT and ΔKPQ are isosceles triangle.

Isosceles triangle is a triangle that has two sides and angles equal to each other.

Therefore,

∠D + ∠T + ∠k = 180

∠D  = 6x + 6

∠T = 6x + 6

∠K = 2x

Therefore,

6x + 6 + 6x + 6 + 2x = 180

14x + 12  = 180

14x = 180 - 12

14x = 168

divide both side by 14

x = 168 / 14

x = 12

Therefore,

m∠D = 6x + 6 = 6(12) + 6 = 72 + 6 = 78 degrees.

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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

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°

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

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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]

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how many times does 12 go into 72

Answers

Answer:

Step-by-step explanation:

6

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.

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

Answers

Answer:

(-∞, 1] or {x|x<=1}

Step-by-step explanation:

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)

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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.

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Which of the following numbers is one fifth of a given number if one fourth of that same number is 20

Answers

Answer:100

Step-by-step explanation:

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.

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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.

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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.

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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

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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. 

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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.

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.

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.

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Answer:

The first one is right...

Step-by-step explanation:

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

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What's the equation and solution?​

Answers

Using the Algebraic tile method we get x=2 solution for equation model

What is Algebraic Tile method?

The algebra tile method is a method of solving equations by using visual models, such as tiles with different values on them, to represent the unknowns and constants in the equation. It is often used to help students understand the process of solving equations and to see how the operations of addition and subtraction correspond to the process of combining or separating algebraic expressions.

In the question, we have 3 kinds of tile

X tilesunit positive tilesunit negative tiles

Equation will be :

⇒ 3x - 1 - 1 = 1 + 1 + 1 + 1

⇒ 3x - 2 = 4

⇒ 3x = 6

⇒ x = 2

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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

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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.

Given m || n , find the value of x.

Answers

Answer:

54°

Step-by-step explanation:

Angles corresponding in parallel lines are the same

Beverly Hobbs earns $683 a week she is single and claims 2 allowances what amount is withheld weekly for federal income tax

Answers

Therefore, $52.25 is the answer to the inquiry about what percentage of a person's income is withheld each week for federal income tax.

What is percentage?

A % is a number that indicates how many out of 100 it is, and it can also be expressed as a decimal or a fraction. Put the percentage value in the numerator and 100 in the denominator to convert a percentage to a fraction.

Here,

The Federal Insurance Contribution Act is the American legislative framework in use here, and it contains the criteria and guidelines that are utilized to determine payroll taxes on an employee's paychecks. The social security and Medicare programs are funded through taxation, which is paid by both employers and employees.

The amount of federal income tax deducted from the weekly cheque is:

6.2% from Social Security plus 1.45% from Medicare.

= 7.5 percent of the weekly gross salary.

The amount of federal income tax withheld each week from Beverly Hibbs's $683.00 weekly salary is:

= 0.0765 × 683

= $52.25

Therefore, $52.25 is the answer to the inquiry about what proportion of a person's income is withheld each week for federal income tax.

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Solve each equation for both variables help please 15 points

Answers

Answer:

x = -5

y = 2

Step-by-step explanation:

1)  -5x-4y = 17

2) 3x-4y = -23

subtract equation 2 from equation 1:

-8x + 0 = 40

-8x = 40

x = -5

substitute x = -5 into equation 1 and solve for y:

-5(-5) - 4y = 17

-4y = -8

y = 2

test answers by substituting x and y values into eqation 2:

3(-5) - 4(2) = -23   Answers are correct!

The Answer is x=-5 y=2
Other Questions
Read the following passage: "'Farm-to-fork' is a concept that is easy to promote but hard to practice. Eating mostly locally grown and natural food doesnt sound like it should be a controversial idea. We all want to eat healthier, right? But it isnt as easy to define local or healthy as you might expect. "Advocates of farm-to-fork say that when people buy their groceries from small hometown growers, they help the local economy and protect the environment buy cutting down on the use of chemicals, genetically modified organisms, and long-distance shipping. Fresh-picked food is more nutritious and consumers will know exactly what they are buying and how it is grown, so they will make smarter food choices. "Skeptics say many of these benefits are over-stated to flat out wrong, and at best farm-to-fork is an option for a privileged few. Fresh vegetables arent necessarily healthier than frozen or canned and are often more expensive. In most areas, local growers cant supply the volume or variety of food needed so meat and produce must be trucked in anyway. There have already been numerous causes of fraud, when claims of food being local, organic, wild-caught, etc. have turned out to be false." Choose the outline that best shows the main idea and major details of this reading. I. Farm-to-fork A. Advocates i. healthy but expensive B. Skeptics ii. less healthy but cheaper I. Eating local A. Farm-to-fork B. Healthy C. Better for economy D. Better for environment I. Farm-to-fork movement A. Benefits i. boosts local economy ii. environmentally friendly iii. healthy eating B. Drawbacks i. expensive ii. health advantages overblown iii. insufficient supply iv. widespread fraud I. Food controversies A. fresh food is healthy i. or is it? B. local food causes less pollution i. or does it? C. local suppliers allow for oversight i. or not? The area of a sector of a circle is 18 pie cm. The radius of the circle is6 cm. The angle in the sector is Virtual classroom and in-person classroom are different because eachmethod has his features_______________________________________________and____________The most important difference is__________________________________An important similarity is________________________are alike because Make 3 past tense sentences using avoir in French Which of the following statements is true regarding the genetic map distance between two markers?a) Is inversely related to the frequency of chiasmab) Is directly related to the frequency of crossing-over.c) Increases in accuracy as the distance between loci increases.d) Can be estimated by multiplying the recombination frequencies of subinterverals.e) Adding the subinterverals is less accurate than a direct measure by a two point cross. A) Briefly explain one major difference between Wineapple's and Brinkley's historical interpretation of Manifest Destiney. B) Briefly explain how one historical event or development in the period 1848 to 1861 that is not explicitly mentioned in the excerpts could be used to support Wineapple's interpretation. C) Briefly explain how one historical event or development in the period 1848 to 1861 that is not explicitly mentioned in the excerpts could be used to support Brinkley's interpretation Morgan bought 95 roses from the florist for her wedding. The roses cost $1.75 each, including sales tax. If Morgan gives the florist $200, how much change should she get back? Pop is on sale at Save-U-Lots. Which pack has the lowest cost per unit? A. 6- pack for $2. 49 B. 12-pack for $3. 99 C. 24-pack for $5. 49 How to determine if a triangle is right acute or obtuse based on side lengths calculator? Please help I will give Brainiest answer Given that cot 0 =5-, find csc 0.11 In "The Philosophy of the Manufacturers" by Andrew Ure, the author compares a factory worker to a handmadeworker. The author leads the reader to the idea that the factory worker is better off. Choose evidence (a quotefrom the text) to support this idea.a. Certainly no muscular fatigue to sustain, while it procures for him good, unfailing wages, besides ahealthy workshop gratis.b. The lot of mankind, have been too little dwelt upon; while, on the other har, it has been accused oflending itself to the rich capitalists as an instrument for harassing the poor.c. The principle of the factory system then is, to substitute mechanical science for hand skill, and thepartition of a process into its essential constituents. What are 3 characteristics of a dictatorship? What technology is discussed on this page that explains how humans were able tomigrate to otherwise unlikely places? This probability distribution shows thetypical grade distribution for a Geometrycourse with 35 students.GradeABCDFFrequency5101532Find the probability that a student earns agrade of A, B, or C.p=[?]Enter a decimal rounded to the nearest hundredth. I WILL MARK BRAINLIST IF YOU GUESS MY A G E 9-19 Does the Supreme Court protect constitutional rights? The dimensions of a picture frame can be represented as (x+4) inches and (x+3) inches. The value of the area, in square inches, of the picture frame is equal to the value of the perimeter, in inches What type of sentence is this?I have never eaten and rested so well. How could the matter in a piece of rock at the top of a mountain eventually be incorporated into volcanic lava? Write a short essay showing how the atmosphere, hydrosphere, cryosphere, geosphere, and biosphere are involved in this process.