Answer:
(D) The product of [tex]\frac{5}{12}[/tex] and –420 should have been the value of x.
Step-by-step explanation:
The equation Amit was trying to solve is given as:
[tex]\frac{5}{12}=-\frac{x}{420}[/tex]
He uses the following steps:
[tex]\frac{5}{12}\cdot 420=-\frac{x}{420}\cdot 420\\x=175[/tex]
We now consider the given options for his error.
Option A: Amit should have multiplied both sides of the equation by [tex]\frac{5}{12}[/tex]
Option B: Amit should have multiplied both sides of the equation by [tex]\frac{12}{5}[/tex]
Options A and B are not viable as it only complicates the work.
Option C: The product of [tex]\frac{5}{12}[/tex] and 420 is not equal to 175.
The product of [tex]\frac{5}{12}[/tex] and 420 is equal to 175.
Option D: The product of [tex]\frac{5}{12}[/tex] and –420 should have been the value of x.
From the steps: -x=175
Solved Correctly
[tex]\frac{5}{12}\cdot -420=-\frac{x}{420}\cdot -420\\x=-175[/tex]
Therefore option D is the correct anser.
Answer: The answer to your question will be D ( The product of 5/12 and -420 should have been the value of x )
Step-by-step explanation:
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