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

Given Equation: We are given the equation (2)/(5)a = 10. To solve for 'a', we need to isolate 'a' on one side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of (2/5), which is (5/2).Multiply by Reciprocal: Multiply both sides of the equation by (5/2) to isolate 'a'. (5/2) * (2/5)a = (5/2) * 10Simplify Left Side: Simplify the left side of the equation. The (5/2) and (2/5) will cancel each other out, leaving us with 'a' on the left side. a = (5/2) * 10Perform Multiplication: Perform the multiplication on the right side of the equation. a = 5 * 5Find Value of 'a': Simplify the multiplication to find the value of 'a'. a = 25

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Solve for
a and simplify your answer.

(2)/(5)a=10
Answer:

Solve for $a$ and simplify your answer. $\newline$ $\frac{2}{5} a=10$ $\newline$ Answer:

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Math Problems

Grade 6

Powers with fractional bases

Full solution

Q. Solve for

a

and simplify your answer.

\newline

\frac{2}{5} a=10

\newline

Answer:

Given Equation: We are given the equation $(\frac{2}{5})a = 10$ . To solve for $a$ , we need to isolate $a$ on one side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of $(\frac{2}{5})$ , which is $(\frac{5}{2})$ .
Multiply by Reciprocal: Multiply both sides of the equation by $(\frac{5}{2})$ to isolate 'a'. $(\frac{5}{2}) \times (\frac{2}{5})a = (\frac{5}{2}) \times 10$
Simplify Left Side: Simplify the left side of the equation. $\newline$ The $\frac{5}{2}$ and $\frac{2}{5}$ will cancel each other out, leaving us with $'a'$ on the left side. $\newline$ $a = \frac{5}{2} \times 10$
Perform Multiplication: Perform the multiplication on the right side of the equation. $a = 5 \times 5$
Find Value of 'a': Simplify the multiplication to find the value of 'a'. $\newline$ $a = 25$