Question

Y x \(\dfrac{1}{2}\) + Y x \(\dfrac{1}{6}\) + Y x \(\dfrac{1}{12}\) + Y x \(\dfrac{1}{20}\) = \(\dfrac{8}{5}\)

Answer 1

y.(1/2+1/6+1/12+1/20)=8/5

y.4/5=8/5

y=8/5:4/5

y=8/5.5/4

y=2

Answer 2

\(y\times\dfrac{1}{2}+y\times\dfrac{1}{6}+y\times\dfrac{1}{12}+y\times\dfrac{1}{20}=\dfrac{8}{5}\)

\(y\times\left(\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}\right)=\dfrac{8}{5}\)

\(y\times\dfrac{4}{5}=\dfrac{8}{5}\)

\(\dfrac{8}{5}:\dfrac{4}{5}\)

\(y=\dfrac{8}{4}=2\)

Answer 3

`y(1/2 + 1/6 + 1/12 + 1/20) = 8/5`

`y(1/1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5) = 8/5`

`4/5y = 8/5`

`=> y = 2`.

Answer 4

\(y\times\dfrac{1}{2}+y\times\dfrac{1}{6}+y\times\dfrac{1}{12}+y\times\dfrac{1}{20}=\dfrac{8}{5}\)

\(y\times\left(\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}\right)=\dfrac{8}{5}\)

\(y\times\dfrac{4}{5}=\dfrac{8}{5}\)

\(y=\dfrac{8}{5}:\dfrac{4}{5}\)

\(y=\dfrac{40}{20}\)

`=>` `y=2`

Answer 5

 

85

 

Y x (1/2+1/6+1/12+1/20)=8/5

Y x (30/60+10/60+5/60+3/60)=8/5

Y x 48/60 = 8/5

Y x 4/5 = 8/5

Y = 8/5:4/5

Y = 8/5 x 5/4

Y = 8/4

Y =2

Answer 6

Yx\(\dfrac{1}{2}\)+Yx\(\dfrac{1}{6}\)Yx\(\dfrac{1}{12}\)+Yx\(\dfrac{1}{20}\)\(=\dfrac{8}{5}\)

Yx\(\left(\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}\right)=\dfrac{8}{5}\)

Yx        \(\dfrac{36}{45}=\dfrac{8}{5}\)

Y                 =\(\dfrac{8}{5}:\dfrac{36}{45}\)             

Y                 = 2