What is the justification for each step in the solution of the equation?

5x−4/2=2x−1
Select from the drop-down menus to correctly justify each step.

5x−42=2x−1 Given
5x−4=2(2x−1) Choose...
5x−4=4x−2 Choose...
5x=4x+2 Addition or Subtraction Property of Equality
x=2 Choose...
Options
Addition or subtraction property of equality
Multiplication or division property of equality
Distributive property of equality
Combine like terms
The "/" Is for a fraction.

Answers

Answer 1

Answer:

5x-2=2x-1

5x-2x=-1+2

3x=1

3/3x=1/3

x=1/3 or 1.3333...


Related Questions

700, 3128, 5024,9000,10018 cuáles son divisibles entre 8

Answers

Answer:

3128, 5024, 9000

Step-by-step explanation:

3128÷8=391; 5024÷8=628; 9000÷8=1125

Solve for x:
10 = x+25

Answers

Answer:

[tex]\boxed{\sf x=-15}[/tex]

Step-by-step explanation:

[tex]\sf 10=x+25[/tex]

[tex]\sf x+25=10[/tex]

[tex]\boxed{\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}}[/tex]

[tex]\sf x+25-25=10-25[/tex][tex]\sf x=-15[/tex]

Answer:

x = -15

Step-by-step explanation:

Factor Completely. (and please show work)
4x^2 - 8x +3

Answers

Step-by-step explanation:

=>4x²-8x+3

=> 4x²-2x-6x+3

=> 2x(2x-1)-3(2x-1)

=>(2x-1)(2x-3).

hope this helps you.

which expressions represent 94 increased by twice a number

Answers

Answer:

2x+94

Step-by-step explanation:

because 2x means 2×x +94

x= unknown number

+=increase

Arrange the following in descending order: 1/5,3/7,7/10

Answers

Answer:

7/10 - 3/7 - 1/5

Step-by-step explanation:

3/7-7/10-1/5

Step-by-step explanation:

Please help meeeee how do you rotate this?????

Answers

Answer:

Hello,

Here is the answer,

After rotating your graph would look like this with P being at (1, -2) and C still being at (-2, 5). The Upper point is C the lower point is P

Step-by-step explanation:

What is the answer to this question?
I am confused.

Answers

Answer:

y=88 x=42

Step-by-step explanation:

Since the total measurments of one triangle have to equal 180 and one angle is already 50, and the angle on the oppisite side of the y angle is 90 the only logical number for y would be 88. Hope this helped :)

Hello. . .

I need help please. . .

answers/w explanation. ✅

Nonsense answers, or answers that's not the question I ask for will be reported.

Answers

Answer:

x = 1 , y = 4

Step-by-step explanation:

I am assuming you're looking for what x and y are? If so, then we know that

DC and AB equal each other, so

4x + y = 8

CB and AD equal each other, so

2x + y = 6

We have two equations that cannot be solved on their own, so we must solve them as a system of equations. One process to solve is elimination.

4x + y = 8

2x + y = 6

we can multiply the second equation all by -1 to make the y's cancel out and give us x. so,

4x + y = 8

-1(2x + y) = 6

4x + y = 8

-2x -y = -6

now solve them vertically. we get:

2x = 2

and so x = 1.

Now that we found x, we must find y. Using any of the two equations froom above, we can substitue our x value of 1 into it to find y. I will use the first one.

4x + y = 8

4(1) + y = 8

4 + y = 8

y = 8 - 4

y = 4

so our x is 1 and y is 4.

hope this helps! (:

5x= 20 word problem

Answers

[tex]{{ \large{ \blue{ \rm{{↬}}}}}} \large \rm \: \: 5x \: = \: 20[/tex]

[tex]{{ \large{ \blue{ \rm{{↬}}}}}} \large \rm \: \: x \: = \: \cancel\frac{20}{5} \\ [/tex]

[tex]{{ \large{ \blue{ \rm{{↬}}}}}} \large \rm \: \: x \: = \: 4[/tex]

[tex] \mapsto \rm \: 5x = 20[/tex]

[tex] \mapsto \rm \: x = \cancel\frac{20}{5} \\ [/tex]

[tex] \red \mapsto \ \boxed{ \rm \red { = 4}}[/tex]

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 7 = 3(x-3)+2

A) infinite solutions

B) One

C) no solutions

Answers

Answer:

-7 = -7

a. infinite solution

Your cousin’s birthday is this weekend. You want to buy a CD that costs $12.99 and a birthday card that costs $2.50. You have saved $25. Write an inequality to find the most money you have for other spending.

Answers

Answer:

None

Step-by-step explanation:

It would be easier to ask your teacher instead of getting wrong answers from random people. Ever think of that :0

Write the equation of a line in slope-intercept form that has a slope of -1/4x and a y-intercept of 5

Answers

Answer:

Step-by-step explanation:

Slope = m = -1/4

y-intercept = b = 5

Slope intercept form = y = mx +b

[tex]y =\dfrac{-1}{4}x+5[/tex]

Solve for x. 8x-6+11+12x=180

Answers

Answer:

x=35/4

Step-by-step explanation:

20x +5=180

20x=180-5

20x=175

x=175/20=35/4

Answer:

[tex]x=8.75[/tex]

Step-by-step explanation:

[tex]8x-6+11+12x=180~(Given)\\\\20x+5=180~(Simplify)\\\\20x+5-5=180-5~(Subtract~5~on~both~sides)\\\\20x=175~(Simplify)\\\\\frac{20x}{20}=\frac{175}{20}~(Divide~20~on~both~sides)\\\\x=8.75[/tex]

how to use intersection in the real world.​

Answers

crossroads or maybe where scissors meet eachother at the middle point you could do either

19. Graph the function 3x + 2y = 8 with the given
domain: (-2,0, 2, 4}
TEK 3C
Justify/Show your work:

Answers

Answer:

Step-by-step explanation:

May I please receive help?

Answers

Answer:

Parallel: y=2x+3

Perpendicular= 1/2x+6

Ty’Reese is 12 years old and collects trading cards. He has 972 cards. He wants to put them into albums. Each album holds 36 cards. How many trading card albums will he need?

Answers

In the wοrd prοblem, He need 27 albums fοr tοtal trading cards.

What is wοrd prοblem?

Wοrd prοblems are οften described verbally as instances where a prοblem exists and οne οr mοre questiοns are pοsed, the sοlutiοns tο which can be fοund by applying mathematical οperatiοns tο the numerical infοrmatiοn prοvided in the prοblem statement. Determining whether twο prοvided statements are equal with respect tο a cοllectiοn οf rewritings is knοwn as a wοrd prοblem in cοmputatiοnal mathematics.

Here the given Tοtal number οf cards = 972

Number οf cards each album hοld = 36

Nοw ,Tοtal number οf album

=> Tοtal number οf card / Number οf cards each album hοld

=> 972/36

=> 27.

Hence He need 27 albums fοr tοtal trading cards.

To learn more about word problem

https://brainly.com/question/21405634

#SPJ1

-5x + 13 = -17 two step equation​

Answers

Answer:

X = 6 see below

Step-by-step explanation:

-5x + 13 = - 17

Step One:

subtract 13 from each side

-5x = - 30

Step two:

divide each side by - 5

x = 6

Find x and y please!! I’m desperate!!!

Answers

Answer:

x = 4

y = 2

Step-by-step explanation:

the third angle of the triangle

180 - (148 + 18) = 14º

Therefor

3x + y = 14

5x - y = 18

Add the equations

8x = 32

Divide both sides by 8

x = 4

Plug in x = 4

3(4) + y = 14

12 + y = 14

y = 2

9514 1404 393

Answer:

  (x, y) = (4, 2)

Step-by-step explanation:

The triangles are similar by AA similarity, so the corresponding angles are congruent.

  5x -y = 18 . . . . . . unmarked angles are congruent

  18 +(3x+y) +148 = 180 . . . . . sum of angles in a triangle is 180°

__

After subtracting 166 from both sides, the second equation simplifies to ...

  3x +y = 14

Adding this to the first equation gives ...

  8x = 32

  x = 4 . . . . . . divide by 8

Then substituting for x in the first equation gives ...

  5(4) -y = 18

  20 -18 = y = 2

The values of the variables are x = 4, y = 2.

_____

The angle marked with a double mark is 14°, given by the simplified second equation.

Maria started her savings account with $105. she adds $10 to it each month, including the first month. Jana Rae started her account with $0 she adds $25 to it each month. after how many months will the girls have the same amount in their accounts? how much will they have?​

Answers

Answer:

After 7 months, the girls will have the same amount in their accounts. They will have 175.

Step-by-step explanation:

Maria:

Starts with $105

Adds $10 each month

Jana Rae:

Starts with $0

Adds $25 each month

Set up an equation for both Maria and Jana.

m will represent the number of months.

Maria: 105 + 10m

Jana: 0 + 25m

You can do guess and check.

Let’s say m is equal to 6.

Subsitute m with 6 for both equations and check if they both end up having the same answer.

Maria: 105 + 10(6) = 165

Jana: 0 + 25(6) = 150

Is 165 and 150 equivalent? No

Let’s try m = 7 and do that same thing.

Maria: 105 + 10(7) = 175

Jana: 0 + 25(7) = 175

Now is the answer equal? Yes

So therefore, after 7 months, the girls will have the same amount in their accounts. They will have 175.

Hope this helps! Pls mark me brainliest! (only if u want, I won’t mind if u don’t)

6.
What is the midpoint of the line segment whose
endpoints (7,-4) and (-3, -2)?
are

Answers

Answer: (2, -3)

Step-by-step explanation:

To find the the answer, you will need to use the midpoint formula, which is as following:

(x₁+x₂/2, y₁+y₂/2)

Since we have two coordinates, let's substitute them into the equation.

(7 + (-3 )/ 2, (-4) + (-2)/2)

We should first add 7 and -3 together, as well as -4 and -2.

(4/2, -6/2)

We then divide 4 and -6 by 2. This would give us our midpoint coordinate.

(2, -3)

hjjhhhhhhjjjjjjjjhjjhhhhh hhhhhj h​

Answers

Answer:

YASSSSSSSS

Step-by-step explanation:

Answer:

dnbdjdndh hdhdhbdjf

xnxnxnnxnxnfnf

ndndndndjf

Musi measured the length and width of a soccer field and then made a drawing of the soccer field . He decided to use 1 mm on his ruler to represent 3 m on the soccer field. If his measurement of the width of the soccer field was 63m , what is the width of his drwaing?

Answers

Real width / represented width

63 / 3 = 21

The width of his drawing will be 21mm

If his measurement of the width of the soccer field was 63m , the width of Musi's drawing for a 63 m wide soccer field is 21 mm.

Musi's ruler represents 1 mm as 3 m on the soccer field. To find the width of his drawing for a 63 m wide soccer field, we can set up a proportion to relate the real width to the width on his drawing.

Let "x" represent the width of his drawing in millimeters.

The proportion can be set up as follows:

1 mm (on the drawing) / x mm (real width on the field) = 3 m (on the drawing) / 63 m (real width on the field)

Now, cross-multiply and solve for "x":

1 * 63 m = 3 * x mm

63 = 3x

Divide both sides by 3 to find the width of his drawing:

x = 63 / 3

x = 21

So, the width of Musi's drawing for a 63 m wide soccer field is 21 mm.

In summary, Musi used a scale of 1 mm to represent 3 m on the soccer field. Therefore, the width of his drawing for a 63 m wide soccer field is 21 mm.

To learn more about scale click on,

https://brainly.com/question/28720090

#SPJ4

Which of the following is correctly written in Standard Form?
A.) -6x + 3y = 8
B.) y = 6/5x + 4
C.) 6x - 2y = 4
D.) 6/5x + 3y = 8
HELP NEEDED PLZ

Answers

b. standard form is y=mx+b

Bill baked n cookies. His friends ate 12 of them. Using n, write an expression for the number of cookies that remained.

Answers

Answer:

n-12= number of cookies left

Answer:

y=n-12

Step-by-step explanation:

y= how many cookies are left

n = number of cookies

-12 = how many his friends ate

Solve the inequality- 5/2(3x+4)<6-3x. Show your work.

Answers

Answer:

x < -8/21

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

[tex](\frac{5}{2} * 3x) + (\frac{5}{2} * 4) < -3x + 6[/tex] [tex]\frac{15}{2}x + 10 < -3x + 6[/tex]

Step 2: Add 3x to both sides.

[tex]\frac{15}{2}x + 10 + 3x < -3x + 6 + 3x[/tex] [tex]\frac{21}{2}x + 10 < 6[/tex]

Step 3: Subtract 10 from both sides.

[tex]\frac{21}{2}x + 10 - 10 < 6 - 10[/tex] [tex]\frac{21}{2}x < -4[/tex]

Step 4: Multiply both sides by 2/21.

[tex]\frac{21}{2}x * \frac{2}{21} < -4 * \frac{2}{21}[/tex] [tex]x < -\frac{8}{21}[/tex]

Therefore, the answer is x < -8/21.

What is 4 times 1 6/7. Write in the simplest form

Answers

Answer:

7 43/100

Step-by-step explanation:

4*1 6/7=4 24/7 which equals 7.43, or 7 43/100

Answer:

7 3/7

Step-by-step explanation:

4 * 1 6/7

1 = 7/7, so 1 6/7 = 7/7 + 6/7 = 13/7

4 * 13/7 = 52/7

7 can fit into 52 at most 7 times (because 7*7 is 49, and less than 52)

This leaves us with 3 left over

4 * 1 6/7 = 7 3/7

For the simple linear equation below, what is the y-coordinate of the ordered pair when the x-coordinate is −5?

y=−7x

Enter your answer in the box.

(-5, ) what goes after 5

Answers

Answer:

-9

Step-by-step explanation:

What is the slope of the line that passes through the points (-4,-2) and (-4,22)

Answers

Answer:

0

Step-by-step explanation:

( x1, y1 ) = ( - 4, - 2 )

Here,

x1 = - 4

y1 = - 2

( x2, y2 ) = ( - 4, 22 )

Here,

x2 = - 4

y2 = 22

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope

= ( 22 - ( - 2 ) ) / ( - 4 - ( - 4 ) )

= ( 22 + 2 ) / ( - 4 + 4 )

= 24 / 0

= 0

Dont get this, please help

Answers

Answer:

1. Enlarge, Shrink

2. Smaller

3. Bigger

Step-by-step explanation:

Dilation is something expanding or shrinking, like how your eyes dilate.

Simply think of the scale factor as what you are multiplying the entire figure by. If you are multiplying it by let's say 2, it would double in size, thus getting larger. If you were to multiply it by 1/2, then it would decrease, or shrink, to half its original size.

Answer:

1: enlarge, shrink

2: smaller

3: bigger

Hope this helps! SO sorry if incorrect!!!!!!

Other Questions
Andre is paid $12 per hour at his caddying job and $9.50 per hour working at a local fast food restaurant. He would like to keep both jobs and earn at least $275.00 a week, but he can work no more than 25 hours. If x represents the number of hours Andre works at his caddying job and y represents the number of hours he works at the restaurant, which system models this scenario? A firm can establish a sustainable competitive advantage over competitors if: Is triangle RWS triangle QWT Help me please help I will give you 13 point because this is due help me please The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The waiting times are shown below.23721198S126572Find the mean waiting time. Round your answer to one decimal place.8.0 min7.2 min7.5 min6.8 min A suspected terrorist is arrested in connection with an imminent terrorthreat. A bomb has been discovered at a local shopping center. The timer shows that thebomb will detonate in 2 hours. The man in custody is believed to be the bomb maker and theonly person who knows how to disable the bomb. You and your partner are brought in tointerrogate the suspect. An hour passes, and you haven't made any progress. Your partnerunplugs all the recording equipment and asks you to leave the room. Twenty minutes later theofficer exits the room with the code to deactivate the bomb. You look inside the room to find thesuspect unconscious and his face covered in blood. Your partner asks you to back up his storythat the suspect became aggressive during the interrogation and that he was simply defendinghimself. There is no tape to challenge your version of the events. It would be the terrorist'sword against yours.Would you follow your partner's instructions? Why or why not? Be sure to include in your answer theethical and legal consequences of your decision. what is the answer of this? 4x-9y+36y-36=0 Answer Correctly = BrainliestIn A March in the Ranks Hard-Prest, and the Road Unknown, readers can infer the scene inside the church will leave a lasting impression on the speaker. Which excerpt from the poem supports this inference?The glisten of the little steel instruments catching the glint of the torches,By these, crowds, groups of forms vaguely I see on the floor, some in the pews laid down,Our army foild with loss severe, and the sullen remnant retreating,These I resume as I chant, I see again the forms, I smell the odor, Which statement isn't true? Question 2 of 10You are riding a bicycle. If you apply a forward force of 125 N, and you andthe bicycle have a combined mass of 82 kg, what will be the forwardacceleration of the bicycle? (Assume there is no friction.)A. 1.67 m/s2B. 3.37 m/s2C. 0.66 m/s2D. 1.52 m/s2O what are the different types of media that can be used as a source of information A penguin walks 10 feet in 6 seconds. How far does he walk in 45 seconds? what is physical change C3h8+o2=co2+h2o balance the equation What other populations in Washington D.C. might be impacted by the release of wolves? 27--0-2021IndreyraQuestion* Explam in detailsThe main thrust of integral view inpublic Administriton Identify five problems with the articles of confederation. given deductions for this week: federal tax $61.34, FICA $52.05, and state $7.92 what is the annual federal tax deduction?- $6,308,.12-$3,189.68-$3,152.06-$1,594.84 Is this equation in standard form? 3xy+ y2=4 which Best describes the correct MLA style for the first page of a research paper