Question

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

Answer 1

Let's simplify the expression step by step:

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

Step 1: Distribute the constants:

- For the first term:
\[ 5(0.5k) - 5(1) = 2.5k - 5 \]

- For the second term:
\[ 2(0.4) - 2(k) = 0.8 - 2k \]

Step 2: Combine the results:
\[ 2.5k - 5 + 0.8 - 2k \]

Step 3: Combine like terms:
- Combine the \( k \) terms:
\[ 2.5k - 2k = 0.5k \]

- Combine the constant terms:
\[ -5 + 0.8 = -4.2 \]

Step 4: Combine everything:
\[ 0.5k - 4.2 \]

So the final simplified expression is:
\[ 0.5k - 4.2 \]

If you are looking for a numerical value, you'll need to provide a specific value for \( k \). If you provide that value, I can calculate the numerical result for you.