Solve the equation and check your answer. 0.95 t plus 0.05 left parenthesis 100 minus t right parenthesis equals 0.49 left parenthesis 100 right parenthesis

Answer:The value of t is:                      t=48.8889Step-by-step explanation:We are asked to solve the linear equation in terms of variable t.The equation is given by:[tex]0.95t+0.05(100-t)=0.49(100)[/tex]Firstly we will solve the parentheses term in the left and right hand side of the equality as follows:[tex]0.95t+0.05\times 100-0.05t=49[/tex]Now we combine the like terms on the left side of equality by:[tex]0.95t-0.05t+5=49\\\\i.e.\\\\0.90t+5=49[/tex]Now we subtract both side of the equation by 5 to get:[tex]0.90t=44[/tex]Now on dividing both side of the equation by 0.90 we get:[tex]t=\dfrac{44}{0.90}\\\\i.e.\\\\t=48.8889[/tex]Hence, the value of t is:   48.8889