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
tangare [24]
3 years ago
6

Mathematical Statement Justification

Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
6 0

Answer:

B

Step-by-step explanation:

1. Given mathematical statement

4x+3=x+5-2x

So,

\begin{array}{cc}4x+3=x+5-2x&\text{ Given}\end{array}

2. Rewrite it as

4x+3=x-2x+5

So,

\begin{array}{cc}4x+3=x-2x+5&\text{ Commutative property of addition}\end{array}

3. Combine like terms x and -2x:

4x+3=-x+5

So,

\begin{array}{cc}4x+3=-x+5&\text{ Combine like terms}\end{array}

4. Add x to both sides:

4x+3+x=-x+5+x\\ \\5x+3=5

So,

\begin{array}{cc}5x+3=5&\text{ Addition property of equality}\end{array}

5. Subtract 3 from both sides:

5x+3-3=5-3\\ \\5x=2

So,

\begin{array}{cc}5x=2&\text{ Subtraction property of equality}\end{array}

6. Divide both sides by 5:

x=\dfrac{2}{5}

So,

\begin{array}{cc}x=\dfrac{2}{5}&\text{ Division property of equality}\end{array}

Nata [24]3 years ago
3 0

Answer:

B.  Combine Like Terms; Addition Property of Equality; Subtraction Property of Equality; Division Property of Equality

Step-by-step explanation:

I took the quiz and got it right

You might be interested in
A rectangular piece of plastic has an area of 10 square millimeters and a perimeter of 22 millimeters. What are the dimensions o
storchak [24]
The piece of plastic have dinmensions of 1mm by 10mm
5 0
3 years ago
Explain why 4 x 2/5 is the same operation as 2/5 + 2/5 +2/5 + 2/5
wlad13 [49]

Answer:

Step-by-step explanation: Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(8, 5)=1. In the next intermediate step the fraction result cannot be further simplified by cancelling. In words - four multiplied by two fifths=eight fifths.

5 0
3 years ago
What will be the value of the 22nd coefficient of a binomial raised to the power 25​
Alona [7]

Step-by-step answer:

We are looking at the coefficient of the 22nd term of (x+y)^25.

Following the sequence, first term is x^0y^25, second term is x^1y^24, third term is x^2y^23...and so on,  22nd term is x^21y^4.

The twenty-second term of (x+y)^25 is given by the binomial theorem as

( 25!/(21!4!) ) x^21*y^4

=25*24*23*22/4! x^21y^4

= 12650 x^21 y^4

The coefficient required is therefore 12650, for a binomial with unit valued coefficients.

For other binomials, substitute the values for x and y and expand accordingly.

Question would have been more clearly stated if the actual binomial was given, as commented above.

4 0
3 years ago
Compared to women in the North, women in the South during the Civil War often
Novay_Z [31]

Answer:D

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A line with points (-4.0) and (-3.1)<br> has a slope of?
pychu [463]

Slope is the change in y over the change in x

Slope = (1-0) /( -3 - -4)

Slope = 1/1

Slope = 1

5 0
3 years ago
Other questions:
  • (03.02 HC)Tom, Lisa, and Jane are competing in a cooking competition. They all used different amounts of sugar from a can contai
    5·1 answer
  • (10 points)
    9·1 answer
  • The vertex form of h(x) = x2 – 14x + 6 is h(x) = (x – )2 – .
    8·2 answers
  • X squared plus X equals six solve for X as if it’s a positive number
    14·1 answer
  • What is the solution tonthe inequality of -9×-15&lt;3=​
    15·1 answer
  • The product of u and 6
    5·2 answers
  • Malene wrote the equation x² + 8x + 60 = x² + 12x + 20 to show that the area of a changed rectangle is 60 cm² greater than the a
    11·2 answers
  • Correct answer gets branliest <br><br><br> Solve the equation. Check your answer. 21= 7x+1 - 3x
    14·1 answer
  • Help??? Please? I need to pass.
    9·1 answer
  • Which answer correctly shows how to find the mean of the {3,6,9,12,15} data set?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!