Add: 5(0.5k−1)+2(0.4−k)

Question

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

Answer 1

To simplify the expression \( 5(0.5k - 1) + 2(0.4 - k) \), we will first distribute the constants:

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

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

Now we can combine both results: \[ 2.5k - 5 + 0.8 - 2k \]

Next, we can combine the like terms:

• Combine the \( k \) terms: \[ 2.5k - 2k = 0.5k \]
• Combine the constant terms: \[ -5 + 0.8 = -4.2 \]

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

Thus, the final expression in decimal form is: \[ 0.5k - 4.2 \]