Answer:
True.
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Multiply the reciprocal of the fraction to both sides to isolate the variable, v.
The reciprocal in math is described as the quantity that is multiplied that will result in 1. In this case, you will multiply 5/2 to both sides of the equation:
[tex]\frac{2}{5}v = 4\\ \\(\frac{5}{2})\frac{2}{5}v = 4 * (\frac{5}{2})\\[/tex]
[tex]v = \frac{4 * 5}{2} = \frac{20}{2} = 10\\ v = 10[/tex] (True).
In this case, v = 10 will work to solve the given equation, and so it is true.
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