The answer on simplifying the expression is:
842.5
We are asked to simplify the expression which is given by:
[tex]100\times ([(6-0.75)+3.5]-(4.4-4.075))[/tex]
Now, while solving this term we need to solve for the parentheses term:
[tex]6-0.75=5.25[/tex]
and
[tex]4.4-4.075=0.325[/tex]
Hence, we get this expression as:
[tex]100\times ([5.25+3.5]-(0.325))[/tex]
Also,
[tex]5.25+3.5=8.75[/tex]
and now we are left with:
[tex]100\times (8.75-0.325)\\\\i.e.\\\\100\times (8.425)\\\\=842.5[/tex]