If (frac{5}{9} text{ of } x) - (frac{2}{5} te | vedclass

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Question

(A) Given equation: $(\frac{5}{9} 	imes x) - (\frac{2}{5} 	imes \frac{9}{4}) = -\frac{4}{5}$Simplify the second term: $\frac{2}{5} 	imes \frac{9}{4

Vedclass · Accepted Answer

$0.18$

Vedclass · Answer

(A) Given equation: $(\frac{5}{9} 	imes x) - (\frac{2}{5} 	imes \frac{9}{4}) = -\frac{4}{5}$Simplify the second term: $\frac{2}{5} 	imes \frac{9}{4} = \frac{18}{20} = \frac{9}{10}$Substitute back into the equation: $\frac{5}{9}x - \frac{9}{10} = -\frac{4}{5}$Add $\frac{9}{10}$ to both sides: $\frac{5}{9}x = -\frac{4}{5} + \frac{9}{10}$Find a common denominator for the right side: $\frac{5}{9}x = -\frac{8}{10} + \frac{9}{10} = \frac{1}{10}$Solve for $x$: $x = \frac{1}{10} 	imes \frac{9}{5} = \frac{9}{50}$Convert to decimal: $x = 0.18$

If $(\frac{5}{9} \text{ of } x) - (\frac{2}{5} \text{ of } \frac{9}{4}) = -\frac{4}{5}$,then find $x$.

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