Add: 5(0.5k−1)+2(0.4−k)

. Answer should be in decimal form.(1 point)

1 answer

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.

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