Write two equations showing the Transitive Property of Equality. Justify your reasoning.

Answers

Answer 1
The Transitive Property of Equality states that if a = b and b = c, then a = c. This property holds true for any mathematical expressions that can be equated, such as numbers, variables, or more complex equations. Here are two examples of equations that demonstrate the Transitive Property of Equality:

x + 5 = 9 and 9 = y - 2
x + 5 = y - 2
a^2 + 2ab + b^2 = (a+b)^2 and (a+b)^2 = a^2 + 2ab + b^2
a^2 + 2ab + b^2 = a^2 + 2ab + b^2
In both examples, by using the transitive property, we can conclude that x = y and (a+b)^2 = (a+b)^2 which both are same expressions.

In the first equation, we start with x + 5 = 9 and then 9 = y - 2. Since both sides of the first equation are equal to 9, we can substitute 9 for x + 5 in the second equation, giving us 9 = y - 2. This shows that the left side of the first equation is equal to the right side of the second equation, which is the Transitive Property of Equality.

In the second equation, we start with a^2 + 2ab + b^2 = (a+b)^2 and then (a+b)^2 = a^2 + 2ab + b^2, since both sides are the same then we can substitute (a+b)^2 for a^2 + 2ab + b^2 in the second equation, which results in (a+b)^2 = (a+b)^2. This shows that the left side of the first equation is equal to the right side of the second equation, which is the Transitive Property of Equality.

In summary, The transitive property states that if you have two expressions are equal to each other, and the second expression is equal to the third, then the first and the third expressions are equal to each other.

Related Questions

Which of the following statements does NOT adequately describe a developmental progression?
A-The order in which skills and concepts build on one another as children develop is called a developmental progression.
B- A developmental progression provides a specific sequence of instruction to support children as they build their math knowledge.
C- A developmental progression is a skill check- list that four-years- olds must master to be prepared for kindergarten.

Answers

The statement which does not adequately describe a developmental progression is Choice C- A developmental progression is a skill check- list that four-years- olds must master to be prepared for kindergarten.

What is developmental progression?

The Developmental Progression of Functional Skills is a concept which describes the child's growth in which case, the child's develops relationship with family members and a sense of self in the process and this concept in discuss is not limited to four-year olds.

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A sum of money is shared between Aaron and Betty in the ratio 2:5 Aaron received $60.How much money was shared altogether?

Answers

Answer:

The answer is $210.

Step-by-step explanation:

60/2 = 30. 30*5= 150. 150+60=210.

well, we know Aaron received $60, and we also know that Aaron and Betty are sharing the total on a 2:5 ratio, thus

[tex]\cfrac{Aaron}{Betty}~~ = ~~\cfrac{2}{5}\implies \cfrac{60}{Betty}~~ = ~~\cfrac{2}{5}\implies (60)(5)=(Betty)(2) \\\\\\ \cfrac{(60)(5)}{2}=Betty\implies 150=Betty~\hfill \underset{\textit{total money shared}}{\stackrel{60~~ + ~~150}{210}}[/tex]

evaluate 5(x-1)-2 when x=3 (urgent)

Answers

Answer: 8

Step-by-step explanation:

Since x=3, we can plug in 3 for x in the equation:

[tex]5(3-1)-2\\5(2)-2\\10-2\\8[/tex]

⊱________________________________________________________⊰

Answer:

8

Step-by-step explanation:

Plug in 3 for x

[tex]\sf{5(3-1)-2}[/tex]. [tex]\large\textbf{[Perform the operation in parentheses]}[/tex]

[tex]\sf{5(2)-2} \ \ \ \ \ \large\textbf{[Multiply 5 by 2 next]}[/tex]

[tex]\sf{10-2} \ \ \ \ \large\textbf{[Subtract]}[/tex]

[tex]\sf{8}[/tex]

Done !! Hope this made sense to you !!

⊱________________________________________________________⊰

[tex]\small\pmb{\tt{CALLIGRAPHY}}[/tex]

6m + 2 - 4m =


help with this please ​

Answers

The answer is: 2(m+1)


First combine like terms.
we do 6m-4m which is 2m
2m+2=?

Second we factor. We notice that both terms have 2.
2(m+1)

by distributive law, the 2 is distributed to m and 1.

If p is the probability of success of a binomial experiment, then the probability of failure is what?

Answers

Answer:

1 - p

Step-by-step explanation:

1 - p

Use a graphing calculator or other technology to write the quadratic equation that best fits the data set. X 0 -1 -2. y 3 -3 -5​

Answers

The quadratic equation of the data is y = 7x^2 + 13x + 3

How to determine the quadratic equation?

The table of values is given as:

X 0 -1 -2.

y 3 -3 -5​

When the above values are added to the graphing calculator, we have the following summary

a = 7

b = 13

c = 3

A quadratic equation is represented as:

y = ax^2 + bx + c

So, we have:

y = 7x^2 + 13x + 3

Hence, the quadratic equation of the data is y = 7x^2 + 13x + 3

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The area of a square quilt is 35 ft 2. How will it look stretched across a queen sized bed measuring 60 inches wide and 80 inches long?

Answers

The quilt will be 10.99 inches wider and 9.01 inches shorter than the bed.

What is the relationship between the quilt and the bed?

The first step is to determine the dimensions of the quilt.

Dimensions = √35 = 5.92 feet

Now convert the dimensions of the quilt to inches

1 feet = 12 inches

5.92 x 12 = 70.99 inches

Difference in the width of the bed and the quilt = 70.99 - 60 = 10.99

Difference in the length of the bed and the quilt = 80 - 70.99 = 9.01

 Here are the options:

A. The quilt will cover half of the surface of the bed.

O B. The quilt will match up with the length of the bed, but 20 inches will hang over the length. °

C. The quit will be 14.6 inches wider and 15.4 inches shorter than the bed. O D. The quilt will be 10.99 inches wider and 9.01 inches shorter than the bed.

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a box contains 7 red balls and 2 blue balls. how many more blue balls do you need to add to the box to make the probobility of pulling a red ball 0.5

A) 2
B) 3
C) 4
D) 5
E) None Of The Above

Answers

Using the probability concept, the number of blue balls you need to add is:

D) 5.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

A probability of 0.5 is reached if the number of red balls is the same as the number of blue balls. Current the difference is of 7 - 2 = 5, hence 5 blue balls must be added.

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Question 13 (5 points)
Find the greatest common factor of 48a²b7 and 48a6b5z.
a.) 12a²b5
b.) 12a8b¹2
c.) 18a6b7
d.) 48a²b5

Answers

The greatest common factor of 48a²b⁷ and 48a⁶b⁵z is the number 48a²b⁵

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

The greatest common factor is the highest number that all the numbers share.

The greatest common factor of 48a²b⁷ and 48a⁶b⁵z is the number 48a²b⁵

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Find A when p= 2000, r= 7%, n= 4, and t= 4

Answers

A=prt

A=2000×7%×4

=560

3) A communications company is planning a new network of specialty ZTX cables linking the major cities noted below. The cost to complete the project is $150 per mile. Draw a diagram of the minimum spanning tree and the cost associated with it.

Answers

The Minimum Spanning Tree diagram associated with ZTX's project is indicated as attached. The total cost associated with it is $1,664,550

What is a  Minimum Spanning Tree?

A graph spanning tree is a set of linked edges that encompass every vertex in the graph but do not create a cycle. A graph may have several such spanning trees.

The Minimum Spanning Tree, on the other hand, has the least cumulative edge weights.

What is the calculation for the attached minimum spanning tree?

The starting point is Seattle.

The total minimum cost is given as:
(1306 + 629 + 435 + 1983 + 1225 + 1483 + 661 + 1145 + 1709 + 183 + 338) x 150

= $1,664,550

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The Chief Operating Officer (COO) of the City Hotel has three people reporting to him: The Hotel Manager, The Retreat Coordinator and the Program Manager. The Hotel Manager has responsibility for the Front Desk, Housekeeping, Maintenance and Security. The Program Manager has responsibility for the Massage Therapists, the Yoga Instructors and the Dance Instructors. Draw a tree diagram representing these reporting relationships.

Answers

The tree diagram representing these reporting relationships is attached.

What is a tree diagram?

It should be noted that a tree diagram is a planning tool that is used to show the hierarchy of tasks that are needed to be completed.

In this case, the tree diagram shows the way the employees report to each other.

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how tell me how you got answer 5.9 and also if you do at calculate can show me how to do pls thanks.

Answers

The steps you have are correct. I'll fill in the gap between step 2 and step 3.

[tex]0.4245 = \frac{2.5}{\text{x}}\\\\0.4245\text{x} = 2.5\\\\\text{x} = \frac{2.5}{0.4245}\\\\\text{x} = 5.8892815\\\\\text{x} = 5.9\\\\[/tex]

I multiplied both sides by x, then divided both sides by 0.4245 to isolate the variable.

With the exception of 2.5, every other decimal value mentioned is approximate.

A family is relocating from St. Louis, Missouri, to California. Due to an increasing inventory of houses in St. Louis, it is taking longer than before to sell a house. The wife is concerned and wants to know when it is optimal to put their house on the market. Her realtor friend informs them that the last 18 houses that sold in their neighborhood took an average time of 100 days to sell. The realtor also tells them that based on her prior experience, the population standard deviation is 20 days. (You may find it useful to reference the z table.)

a. What assumption regarding the population is necessary for making an interval estimate for the population mean?

multiple choice
Assume that the central limit theorem applies.
Assume that the population has a normal distribution.


b. Construct the 99% confidence interval for the mean sale time for all homes in the neighborhood. (Round final answer to 2 decimal places.)

Answers

The 99% Confidence interval for the mean sale time for all homes in the neighborhood is:87.857, 112.143.

Confidence interval

a. The assumption is: Assume that the population has a normal distribution.

The CI  is exact for the normal populations and for small samples the z-interval method should be used in a situation where the variable is normally distributed.

b. Confidence interval:

CI=Sample mean±z-score×Standard deviation/√Size of the sample

CI=100-2.576×20/√18, 100+2.576×20/√18

CI=100-12.143, 100+12.143

CI=87.857, 112.143

Therefore the 99% Confidence interval is 87.857, 112.143.

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differentiate with respect to x (6-2x)^3​

Answers

-6(6-2x)^2 by chain rule

Answer:

- 6(6 - 2x)²

Step-by-step explanation:

using the chain rule

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{dy}{du}[/tex] × [tex]\frac{du}{dx}[/tex]

let y = (6 - 2x)³

let u = 6 - 2x , then y = u³

[tex]\frac{du}{dx}[/tex] = - 2 and [tex]\frac{dy}{du}[/tex] = 3u²

then

[tex]\frac{dy}{dx}[/tex] = 3u² × - 2 = - 6(6 - 2x)²

expand (x-4)^5 using the binomial theorem and pascal’s triangle show all necesssry steps

Answers

The binomial expansion of the [tex](x-4)^5[/tex] is  [tex]x^5+20x^4+160x^3+640x^2+1280x+1024[/tex]

According to the statement

we have given that a equation and we have to expand it by use of the binomial theorem.

So, For this purpose we know that the

A binomial theorem, statement that for any positive integer n, the nth power of the sum of two numbers a and b may be expressed as the sum of n + 1 terms of the form.

And the general formula is

[tex](x+y)^n= ^nC_0x^ny^0+^nC_1x^(n-1)y^1+^nC_2x^(n-2)y^2+...+^nC_nx^0y^n[/tex]

And we have to solve it with the given equation (x-4)^5.

Then

[tex](x-4)^5=x^5+20x^4+(20)/(2)x^3(4^2)+(60)/(6)x^2(4)^3+(120)/(24)x^1(4)^4+(120)/(120)x^0(4)^5[/tex]

Now after solving the equation become

[tex](x-4)^5=x^5+20x^4+160x^3+640x^2+1280x+1024[/tex]

So, The after expanding the given statement with the binomial theorem the result output is

[tex](x-4)^5=x^5+20x^4+160x^3+640x^2+1280x+1024[/tex]

So, The binomial expansion of the [tex](x-4)^5[/tex] is  [tex]x^5+20x^4+160x^3+640x^2+1280x+1024[/tex]

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The following table shows the cost of 4 party favor packs. For example, the Slinky costs $9 for a pack of 5. Which toy pack has a cost of $2.50 per toy

Answers

Answer:

yo-yo cost 2.50 dollar because if we divide 15 and 6 the answer will be 2.50

Which set of ordered pairs could be generated by an exponential function?

Answers

The set of ordered pairs that could be generated by an exponential function is; C: (-1,1/2), (0, 1), (1, 2), (2, 4)

How to find the ordered pairs?

An exponential function is represented by the general form;

y = abˣ

The above equation means that the value (0, 0) cannot be an ordered pair in an exponential function.

The highlight above means that, the options A, B and D cannot generate an exponential equation because they contain the point (0,0).

Thus, the set of ordered pairs that could be generated by an exponential function is option C: (-1,1/2), (0, 1), (1, 2), (2, 4)

The missing options are;

A. (-1,-1/2), (0, 0),(1,1/2), (2, 1)

B. (–1, –1), (0, 0), (1, 1), (2, 8)

C. (-1,1/2), (0, 1), (1, 2), (2, 4)

D. (–1, 1), (0, 0), (1, 1), (2, 4)

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Simplify the expression using the proper order of operations
5[6 ÷ 2^2 ∙ 3 - 1]

Answers

The simplification of the expression 5(6 ÷ 2² × 3 - 1) using the proper order of operation is 3.75

Simplification

5(6 ÷ 2² × 3 - 1)

Bodmas

B - BracketO - ofD - divisionM - MultiplicationA - AdditionS - Subtraction

= 5(6 ÷ 4 × 3 - 1)

= 5(6 ÷ 4 × 2)

= 5(6 ÷ 8)

= 5(0.75)

= 3.75

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What are the sums? Complete the equations. 12 +15= -12+(-15) = help 36 points ​

Answers

12+15= 27
-12+(-15)= -27
♨ANSWER♥

A summation, also called a sum, is the result of arithmetically adding numbers or quantities. A summation always contains a whole number of terms. There can be as few as two terms, or as many as a hundred, a thousand, or a million. Some summations contain infinitely many terms.

12 + 15

= 27

-12 + (-15)

= -12 -15

= -27

...hope this helps...

_♡_mashi_♡_

If f(x) = 10 – x2 and g(x) = 3f (x) – 8, then which of the following is the value of g(-2)?

Answers

Answer:

10

Step-by-step explanation:

g(x) = 3(10-x^2)-8=>30-3x^2-8=>-3x^2+22

then substitute -2 in x

-3(-2)^2+22

-3(4)+22=-12+22=10

give answer please too hard to solve

Answers

Answer:

see explanation

Step-by-step explanation:

to evaluate f(a) substitute x = a into f(x)

f(a) = 5a + 4

---------------------

2f(a) = 2(5a + 4) = 10a + 8

-----------------------

to evaluate f(2a) substitute x = 2a into f(x)

5(a + 2) + 4 = 5a + 10 + 4 = 5a + 14

--------------------------

f(a) + f(2) ← substitute x = 2 into f(x)

= 5a + 4 + 5(2) + 4 = 5a + 4 + 10 + 4  = 5a + 18

f Tanisha has ​$ 1,000 to invest at 5 % per annum compounded ​, how long will it be before she has ​$1,400 ​? If the compounding is​ continuous, how long will it​ be?
Question content area bottom
Part 1
Compounding ​, it will be about
  
enter your response here years before Tanisha has ​$1,400.

Answers

With annual compounding, the number of years for 1000 to become 1400 is 6.7 years

With continous compounding, the number of years for 1000 to become 1400 is 1.35 years

How long would it take $1000 to become $1,400?

With annual compounding, the formula that would be used is:

(In FV / PV) / r

Where:

FV = future value PV = present value r = interest rate

(In 1400 / 1000) / 0.05 = 6.7 years

With continous compounding, the formula that would be used is:

(In 1400 / 1000) / (In e^r)

Where r = interest rate

((In 1400 / 1000) / (In e^0.05) = 1.35 years

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Find the value of x. Round to the
nearest tenth.
X
26
12
X
x = [?]

Answers

Answer:

Step-by-step explanation:

This is classic right triangle trig, cos specifically. Our reference angle is the one marked 26°, the hypotenuse is given as 12, and the side adjacent to the reference angle is our unknown. This is the cosine ratio. Setting up to solve for x:

[tex]cos26=\frac{x}{12}[/tex] and

12cos(26) = x  Plug this into your calculator in degree mode to get that

x = 10.8

Write the equation for the following relation. D = {(x, y ): (3, 9), (5, 25), (-2, 4), . . .}

Answers

The equation for the given relation is a quadratic equation:

[tex]y = x^2[/tex]

How to write an equation for the given relation?

Here we have the relation:

D = {(x, y); (3, 9), (5, 25), (-2, 4), ...}

Notice that for each coordinate point, we can see that the output is equal to the square of the input:

[tex]3^2 = 9\\5^2 = 25\\(-2)^2 = 4[/tex]

Then the equation is just:

[tex]y = x^2[/tex]

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A(-3,-2), B(12, 3); 3 to 2

Answers

Answer:

  (6, 1)

Step-by-step explanation:

The formula for dividing segment AB into parts in the ratio M:N is ...

  P = (M·B +N·A)/(M+N)

Application

Using the above formula with the given values, we have ...

  P = (3(12, 3) +2(-3, -2))/5 = (36 -6, 9 -4)/5 = (30, 5)/5

  P = (6, 1)

The point P that divides segment AB into parts in the proportion 3:2 is ...

  P = (6, 1)

Write an Algebra equation to the following question: Stephen and Lauren bought a home to flip for a profit. After budgeting a total of $23,150 for improvements, they started by spending $10,350 on subbing out some of the work. They would like to replace all thirty-two of the windows in the home. What is the maximum amount they can afford to spend on each window?

Answers

The maximum amount they can afford to spend on each window is $400

Equation

Total budget = $23,150Amount spent on subbing = $10,350Number of windows = 32Amount spent on each window = x

23,150 = 10,350 + 32x

23,150 - 10,350 = 32x

12,800 = 32x

divide both sides by 32

x = 12,800 / 32

x = $400

Therefore, the amount spent on each window is $400

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The sum of five consecutive integers equals 5.5 times the middle integer. Find the integers.

Answers

The integers are therefore -2, -2, 0, 1 and 2

Linear equation

Let the five consecutive integers be x-3, x-2, x-1, x and x+1

If the  sum of five consecutive integers equals 5.5 times the middle integer, then;

x-3+x-2+x-1+x+x+1 = 5.5(x-1)

5x - 5 = 5.5x - 5.5

Collect the like terms

5x-5.5x = -5.5 + 5

-0.5x = -0.5

x = 1

The integers are therefore -2, -2, 0, 1 and 2

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8 through 10 thank you answers only

Answers

Answer:

8) - 8z^3 - 3z^2 - 2z + 13

9) g^3 - 3g^2 + 3g + 6

10) (14n + 21) - (8n + 7) = 6n + 14

9) Find the median of the data set.

O a.) 8
Ob.) 5
Oc.) 10
O d.) 13

Data:
5, 8, 12, 6, 7, 10, 14, 6, 13

Answers

Answer:

a

Step-by-step explanation:

the median is the middle value of the data arranged in ascending order

5 , 6 , 6 , 7 , 8 , 10 , 12 , 13 , 14 ← ascending order

                    ↑ middle value

median = 8

Answer:

8

Step-by-step explanation:

To find the median, we must put all of the data in order and select the middle number. Since there are 9 terms, the median will be the 5th term.

5, 6, 6, 7, 8, 10, 12, 13, 14

Brainliest, please :)

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In this problem you can assume that 1 kg of either soda or water corresponds to 35.273 oz. A customer who is both loyal and profitable is referred to as a ________.A) barnacleB) strangerC) true believerD) laggardE) butterfly a machine has a 32-bit byte-addressable virtual address space. the page size is 16 kb. how many pages of virtual address space exist? A 95-kg person climbs some stairs at a constant rate, gaining 2.5 meters in height.Randomized Variables: m = 95 kg, h = 2.5 hFind the work done by the person, in joules, to accomplish this task. compared with other countries, the united states allows employers much latitude in reducing their workforce. True or False if not created carefully, your social networking profiles can be used to locate information that may allow malicious users to a small rocket burns a mass 0.0550 kg of fuel per second, ejecting it as a gas with a velocity relative to the rocket of magnitude 1650 m/s.A.) What is the thrust of the rocket? (Answer: 889 N)B.) What is the rockets change in velocity after it has burned 355kg , of fuel if its total initial mass is 1830kg ?C.) What is the rockets velocity after 171 s, if it had an initial velocity of 1028 m/s ? (true) or (false)? when a preference in bankruptcy exists, there is no preference of one creditor over other creditors. Abbie Haneef works as a secretary at Building Co, a large construction company that specializes in government contracts. Abbie is in charge of reviewing the invoices that Building Co sends to the state of Vermont regarding the construction of a new facility for the state's department of transportation. Abbie discovers that Building Co managers have been illegally overcharging the costs of time and materials in their invoices to state officials. Abbie tells her co-worker Zuki Mori about the overcharges during a lunch break and suggests that they should be fixed. Two weeks later, Abbie is abruptly fired by her immediate supervisor. Assuming that her termination was because of her disclosures to Zuki, did Building Co legally terminate Abbie? Employment at will select answer give employers broad discretion to hire and fire their employees and select answer employers to give an employee sufficient notice before the employee is discharged. The most common exception to the employment at will doctrine is the exception based upon select answer The public policy exception select answer apply to an employee discharged for whistleblowing. Abbie select answer speak about illegal activities by her employer. Abbie select answer report her findings of illegal overbilling to government authorities, upper-level managers, or the media. Abbie select answer a whistleblower under the law because she select answer Building Co select answer legally fire Abbie in this case. What If the Facts Were Different? Assume now that Abbie reported her findings to the local television news. Abbie select answer met the legal requirement of a whistleblower because she select answer The fact that Abbie is an employee at will select answer impact the legality of the decision. Abbie can seek redress based on grounds of select answer . Building Co executives should have select answer when they learned of the overbilling from Abbie.1. does/ does not2. require/ does not require3. contract theory/ public policy/ tort theory4. may/ may not5. did/ did not6. did/ did not7. is/ is not8. did not report activity to the necessary individuals or entities/ did not report illegal activity9. can/ cannot10. has/ has not11. reported activity to the necessary individuals or entities/ both reported illegal activity and reported activity to the necessary individuals or entities/ reported illegal activity12. does/ does not13. the public policy exception to employment at will and the Whistleblower Protection Act/ the public policy exception to employment at will/ the Whistleblower Protection Act14. reported it to the state and punish the managers who committed wrongdoing/ fire Abbie anyway/ told Abbie to stay quiet the success of the ft label relies, in part, on Determine the load P in the strap and choose the response closest to your calculation. 4.5 ft 4.5 ft 3 900 lb 3.ft 5ft O a. 405 lbs O b. 540 lb O c. 810 lb O d. 1080 lb