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

Answer 1

To simplify the expression \( 5(0.5k - 1) + 2(0.4 - k) \), we start by distributing the constants:

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

2. Distributing \( 2 \) in the second term: \[ 2(0.4) - 2(k) = 0.8 - 2k \]

Now we combine the two results: \[ 2.5k - 5 + 0.8 - 2k \]

Next, we combine like terms. Starting with the \( k \) terms: \[ 2.5k - 2k = 0.5k \]

Now, combine the constant terms: \[ -5 + 0.8 = -4.2 \]

Putting it all together, we have: \[ 0.5k - 4.2 \]

Thus, the simplified expression is: \[ 0.5k - 4.2 \]