Question

Add: \(5\left(0.5k-1\right)+2\left(0.4-k\right)\). Answer should be in decimal form. (1 point)

Answer 1

To simplify the expression \(5\left(0.5k - 1\right) + 2\left(0.4 - k\right)\), we will distribute the constants and then combine like terms.

First, distribute \(5\) in the first term:

\[
5\left(0.5k - 1\right) = 5 \cdot 0.5k - 5 \cdot 1 = 2.5k - 5
\]

Next, distribute \(2\) in the second term:

\[
2\left(0.4 - k\right) = 2 \cdot 0.4 - 2 \cdot k = 0.8 - 2k
\]

Now combine both parts:

\[
2.5k - 5 + 0.8 - 2k
\]

Next, combine the \(k\) terms and the constant terms:

\[
(2.5k - 2k) + (-5 + 0.8) = 0.5k - 4.2
\]

Thus, the final simplified expression is:

\[
0.5k - 4.2
\]