Question

Rewrite in simplest terms: −0.5(−0.3r+0.1)+r

Answer 1

To simplify the expression −0.5(−0.3r + 0.1) + r, follow these steps:

1. Distribute −0.5 to both terms inside the parentheses:
\[
= −0.5 \times (−0.3r) + (−0.5 \times 0.1) + r
= 0.15r - 0.05 + r
\]

2. Combine like terms (the \(r\) terms):
\[
= 0.15r + r - 0.05
\]
\[
= 0.15r + 1r - 0.05
\]
\[
= (0.15 + 1)r - 0.05
\]
\[
= 1.15r - 0.05
\]

So, the expression simplifies to:
\[
1.15r - 0.05
\]