Add: 5(0.5k−1)+2(0.4−k)

Question

5
(
0.5
𝑘
−
1
)
+
2
(
0.4
−
𝑘
)
. Answer should be in decimal form.(1 point)......

Answer 1

To simplify the expression \( 5(0.5k - 1) + 2(0.4 - k) \), we can follow these steps:

1. Distribute the \(5\) in the first term and the \(2\) in the second term:

\[ 5(0.5k) - 5(1) + 2(0.4) - 2(k) \]

This simplifies to:

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

2. Combine like terms:

Combining the \(k\) terms:

\[ 2.5k - 2k = 0.5k \]

Now combine the constant terms:

\[ -5 + 0.8 = -4.2 \]

So the expression simplifies to:

\[ 0.5k - 4.2 \]

Thus, the final result in decimal form is:

\[ 0.5k - 4.2 \]