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Solve for a and simplify your answer. (2)/(5)a=10 Answer:

Solve for a a and simplify your answer.\newline25a=10 \frac{2}{5} a=10 \newlineAnswer:

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Full solution

Q. Solve for a a and simplify your answer.\newline25a=10 \frac{2}{5} a=10 \newlineAnswer:
  1. Given Equation: We are given the equation (25)a=10(\frac{2}{5})a = 10. To solve for aa, we need to isolate aa on one side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of (25)(\frac{2}{5}), which is (52)(\frac{5}{2}).
  2. Multiply by Reciprocal: Multiply both sides of the equation by (52)(\frac{5}{2}) to isolate 'a'.(52)×(25)a=(52)×10(\frac{5}{2}) \times (\frac{2}{5})a = (\frac{5}{2}) \times 10
  3. Simplify Left Side: Simplify the left side of the equation.\newlineThe 52\frac{5}{2} and 25\frac{2}{5} will cancel each other out, leaving us with ′a′'a' on the left side.\newlinea=52×10a = \frac{5}{2} \times 10
  4. Perform Multiplication: Perform the multiplication on the right side of the equation. a=5×5a = 5 \times 5
  5. Find Value of 'a': Simplify the multiplication to find the value of 'a'.\newlinea=25a = 25

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