Answer:
Student B is correct
Student A failed to distribute -4 and -6 when opening the brackets in the first step
Step-by-step explanation:
The solution Student A gave was:
2x - 4(3x + 6) = -6(2x + 1) - 4
2x - 12x + 6 = -12x + 1 - 4
-10x + 6 = -12x - 3
2x = -9
x = -4 _1 2 ( -4 1/2)
The solution Student B gave was:
2x - 4(3x + 6) = -6(2x + 1) - 4
2x - 12x - 24 = -12x - 6 - 4
-10x - 24 = -12x - 10
2x = 14
x = 7
Student B is correct.
Explanation of the error:
Student A failed to distribute -4 and -6 when opening the brackets in the first step.
That is,
2x - 4(3x + 6) = -6(2x + 1) - 4
To open this bracket, we will distribute, -4 and -6 so that we get
2x (-4 × 3x) + (-4 × +6) = (-6×2x) + (-6 × +1) - 4
Then we will get
2x -12x -24 = -12x -6 -4
Adding the like terms
-10x - 24 = -12x - 10
Collecting like terms
-10x + 12x = -10 + 24
∴ 2x = 14
x = 14 / 2
Hence,
x = 7
The dependent variable is y, that represents the years
Answer:
answer below
Step-by-step explanation:
in this case the decimal will be recurring so 1 and 2 thirds is 1.6 recurring and 2 and 7 nigths is 2.7 recurring so just plot in between the intervals so the first one could be between 1.6 and 1.7 and the sexond between 2.7 and 2.8
A word problem is used to solve problems in mathematics without the explicit use of equations initially.
<h3>What is a Word Problem?</h3>
This refers to the use of words to generate an equation that can be solved by mathematical means.
Hence, we can see that because the question is incomplete, we can infer that there is a relationship that exists between Dr. White, Dr. Black, Dr. Brown, and a woman that does not have brown hair, and equality would be used to solve it.
Read more about word problems here:
brainly.com/question/21405634
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9514 1404 393
Answer:
21
Step-by-step explanation:
Rearranging the given ratio, we can find the ratio of boys to the total.
boys : (boys +girls) = 7 : (7+8) = 7 : 15
Then the number of boys is ...
(7/15)(45) = 21
There are 21 boys in the classroom.
