1.

Match the equivalent expressionsy-0.32y y+0.32y y+2/5y y-2/5y7/5y >>>>> BLANK0.68y >>>>>BLANK3/5y>>>>>BLANK1.32y>>>>>BLANKPlease answer.

Answer»

SOLUTION

GIVEN

The given EXPRESSIONS are

\displaystyle \sf{<klux>1</klux>. \:  \:  \: ( \: y - 0.32y \: )}

\displaystyle \sf{2. \:  \:  \: ( \: y  +  0.32y \: )}

\displaystyle \sf{3. \:  \:  \:  \bigg( \: y  +  \frac{2}{5} y \bigg)}

\displaystyle \sf{4. \:  \:  \:  \bigg( \: y   -  \frac{2}{5} y \bigg)}

GIVEN OPTIONS ARE

\displaystyle \sf{1. \:  \:  \:   \frac{7}{5} y \: }

\displaystyle \sf{2. \:  \:  \: 0.68y}

\displaystyle \sf{3. \:  \:  \:  \frac{3}{5} y \: }

\displaystyle \sf{4. \:  \:  \: 1.32y}

EVALUATION

FIRST EXPRESSION

\displaystyle \sf{ \: y   - 0.32 y \: }

\displaystyle \sf{  = \: y (1   - 0.32) \: }

\displaystyle \sf{  = 0.68y \: }

Hence the correct equivalent expression is

\displaystyle \sf{2. \:  \:  \: 0.68y}

SECOND EXPRESSION

\displaystyle \sf{ \: y   + 0.32 y \: }

= \displaystyle \sf{ \: y(1  + 0.32 ) \: }

\displaystyle \sf{  = 1.32y \: }

Hence the correct equivalent expression is

\displaystyle \sf{4. \:  \:  \: 1.32y}

THIRD EXPRESSION

\displaystyle \sf{ \bigg( \: y  +  \frac{2}{5} y \bigg)}

=  \displaystyle \sf{ \bigg( 1 +  \frac{2}{5}  \bigg)y}

=  \displaystyle \sf{ \bigg(  \frac{5 + 2}{5}  \bigg)y}

=  \displaystyle \sf{  \frac{7}{5}y }

Hence the correct equivalent expression is

\displaystyle \sf{1. \:  \:  \:   \frac{7}{5} y \: }

FOURTH EXPRESSION

\displaystyle \sf{ \bigg( \: y   -  \frac{2}{5} y \bigg)}

\displaystyle \sf{  = \bigg( 1   -  \frac{2}{5}  \bigg)y}

\displaystyle \sf{  = \bigg(  \frac{5 - 2}{5}  \bigg)y}

\displaystyle \sf{  =  \frac{3}{5}y }

Hence the correct equivalent expression is

\displaystyle \sf{3. \:  \:  \:  \frac{3}{5} y \: }

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