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USPshnik [31]
3 years ago
6

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

Mathematics
2 answers:
Alexandra [31]3 years ago
5 0

For this case we have the following equation:

\frac{2}{3}x-\frac{1}{3}= 2 (x + 2)\\

If we multiply both sides of the equation by 3 we get:

2x-1 = 6 (x + 2) ---> Multiplication Property of Equality

Applying the distributive property we have:

2x-1 = 6x + 12 ---> Distributive Property

Adding 1 on both sides of equality we have:

2x-1 + 1 = 6x + 12 + 1\\

2x = 6x + 13 ---> Addition Property of Equality

Subtracting 6x on both sides we have:

-6x + 2x = 6x-6x + 13\\

-4x = 13 ---> Subtraction Property of Equality

Finally, dividing by -4 on both sides we have:

\frac{-4x}{-4}= \frac{13}{-4}\\

x = -\frac{13}{4}---> Division Property of Equality


adoni [48]3 years ago
3 0

Answer:

2/3x - 1/3 = 2(x + 2)          Given

2x - 1 = 6(x + 2)          Multiplication or Division Property of Equality

2x - 1 = 6x + 12         Distributive Property

2x = 6x + 13          Addition or Subtraction Property of Equality

-4x = 13          Addition or Subtraction Property of Equality

x = -13/4         Multiplication or Division Property of Equality


I took the test, you can trust these answer are correct.

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lara31 [8.8K]

Answer:

35) A. 21.2

46) D. 4/7

30) B. 4.4

42) C. Prism

Step-by-step explanation:

35) see first two attached files. 134.3 - 113.1 = 21.2

46) see third attached file. 4/7 = .5714ish and 112 pi = 351.59 ish

30) see fourth attached file.

42) prisms are in no way circular so it cant have a circular base when cut

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5 0
3 years ago
SIMPLE &gt; Simplify. 4√27 + 6√75 Enter your answer, in simplest radical form...
Digiron [165]

Answer:

42√3

Step-by-step explanation:

4√27 = 4√(9)(3) = 12√3

6√75 = 6√(25)(3) = 30√3

12√3 + 30√3 = 42√3

7 0
2 years ago
Astronomers sometimes use angle measures divided into degrees, minutes, and seconds. One degree is equal to 60 minutes, and one
ExtremeBDS [4]

The measure of ∠K is 49 degrees 22 minutes 51 seconds.

<u>Step-by-step explanation:</u>

Given that ∠J and ∠K are complementary.

∠J = 41°38'9".

∠K = ?

When a sum of two angles result is 90°, then it is called as complementary angles.

Since ∠J and ∠K are complementary, then their sum is 90°.

∠J +∠K=90°.

∠K= 90° - ∠J.

=90°60'60" - 41°38'9".

=49°22'51".

∠K= 49 degrees 22 minutes 51 seconds.

3 0
3 years ago
For the inequality below, write the set of numbers in interval notation.
snow_tiger [21]
The answer would be [4, infinity)
4 0
3 years ago
Hi i need help in math pls i am really bad plssssssss
zvonat [6]

Answer:

The answer is  a= \frac{8x^2+11x+1}{2}

Step-by-step explanation:

Combine like terms and we get,

24x^2+83x+3=6ax

\frac{24x^2+33x+3}{6x} =a             divide both sides of the equation by ax, and simplify further,

\frac{x(8x^2+11x+1)}{2}                          notice that we can reduce the 24 over 6 1/2,

\frac{8x^2+11x+1}{2} =a                 distribute and simplify further

And a=\frac{8x^2+11x+1}{2}

8 0
3 years ago
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