1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
WINSTONCH [101]
2 years ago
10

What is the justification for each step in the solution of the equation? 5x−42=2x−1

Mathematics
2 answers:
yanalaym [24]2 years ago
7 0

Answer:

<h3>39.6</h3>

Step-by-step explanation:

collecting like terms we have:

5x-2x=-1+42

equating the terms..we have:

3x=41

divide both sides by the Co-efficient of x:

3x\3=42\3

x=39.6

Semmy [17]2 years ago
5 0

Answer:

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.

__________________________________________________________

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

You might be interested in
In triangle ABC,the measure of angle A is 78° and the measure of angle B is 35° What is the measure of angle C
Nookie1986 [14]

Answer:

č= 67°

Step-by-step explanation:

x + 78+35=180

x + 113=180

x= 180-113

x= 67 degrees

7 0
2 years ago
Can someone help me with number 3 pls
sergejj [24]

Answer:

hypothesis

Step-by-step explanation:

If <em>hypothesis</em> then <em>conclusion</em>

5 0
3 years ago
40 is a rational number.
Sauron [17]

Answer: if its a true or false question then yes 40 is a rational number

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Natalie works in a department store selling clothing. She makes a guaranteed salary of $300 per week, but is paid a commission o
Sergio039 [100]

Answer:

The answer is below

Step-by-step explanation:

a) Natalie basic salary is $300 per week. She is paid a commission of 30% of her total sales for the week. Therefore her total weekly salary per week is given by:

Total weekly salary = Basic salary + Commissions

If Natalie makes $225 in sales, her commission = 30% of $225 = 0.3 × $225 = $67.5

Total weekly salary = Basic salary + Commissions = $300 + $67.5

Total weekly salary = $367.5

b) If Natalie makes $x in sales, her commission = 30% of $x = 0.3 × $x = $0.3x

Total weekly salary = Basic salary + Commissions = $300 + $0.3x

Total weekly salary = $(300 + 0.3x)

7 0
3 years ago
Two poles are connected by a wire that is also connected to the ground. The first pole is 18 ft tall and the second pole is 24 f
9966 [12]

Answer:

  72 feet from the shorter pole

Step-by-step explanation:

The anchor point that minimizes the total wire length is one that divides the distance between the poles in the same proportion as the pole heights. That is, the two created triangles will be similar.

The shorter pole height as a fraction of the total pole height is ...

  18/(18+24) = 3/7

so the anchor distance from the shorter pole as a fraction of the total distance between poles will be the same:

  d/168 = 3/7

  d = 168·(3/7) = 72

The wire should be anchored 72 feet from the 18 ft pole.

_____

<em>Comment on the problem</em>

This is equivalent to asking, "where do I place a mirror on the ground so I can see the top of the other pole by looking in the mirror from the top of one pole?" Such a question is answered by reflecting one pole across the plane of the ground and drawing a straight line from its image location to the top of the other pole. Where the line intersects the plane of the ground is where the mirror (or anchor point) should be placed. The "similar triangle" description above is essentially the same approach.

__

Alternatively, you can write an equation for the length (L) of the wire as a function of the location of the anchor point:

  L = √(18²+x²) + √(24² +(168-x)²)

and then differentiate with respect to x and find the value that makes the derivative zero. That seems much more complicated and error-prone, but it gives the same answer.

7 0
3 years ago
Other questions:
  • The original price of a computer was reduced by $250.
    7·2 answers
  • (x-2)+(x+6)<br> Please explain
    9·1 answer
  • the average adult horse needs 2/5 bale of hay each day to met dietary requirements. A horse farm has 44 bales of hay. how many h
    11·1 answer
  • A meal has 310 calories in 5 servings. Find the calories per serving.
    11·2 answers
  • Which expressions are equivalent to 2 Superscript 5 times 2 Superscript 4? Check all that apply.
    11·1 answer
  • Find unit rate for me pls ? which check marks which box
    8·1 answer
  • Your gross pay is $1,878.96, net income is $1,196.34, and fixed expenses are $1,338.54. What is your discretionary income?
    14·1 answer
  • Are there always multiple ways of transforming one image to another
    13·2 answers
  • What is the value of x in this triangle?<br> Round only your final answer to the nearest hundredth.
    8·1 answer
  • 2^2x = 2^3 ,what is the value of x?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!