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:

$$0.5k-4.2$$