add: 5(0.5k-1) + 2 (0.4-k). Answer should be in decimal form.(1 point)
Let's solve the given expression step by step:
5(0.5k - 1) + 2(0.4 - k)
= 5 * 0.5k - 5 * 1 + 2 * 0.4 - 2 * k [Using distributive property]
= 2.5k - 5 + 0.8 - 2k
= (2.5k - 2k) + (-5 + 0.8) [Combining like terms]
= 0.5k - 4.2
So, the answer is 0.5k - 4.2 (in decimal form).
To simplify the expression, start by distributing the numbers outside the parentheses:
5(0.5k - 1) + 2(0.4 - k)
= 5 * 0.5k - 5 * 1 + 2 * 0.4 - 2 * k
= 2.5k - 5 + 0.8 - 2k
Next, combine like terms:
(2.5k - 2k) + (0.8 - 5)
= 0.5k - 4.2
So, the simplified form of the expression is 0.5k - 4.2.
To solve the given expression: 5(0.5k - 1) + 2(0.4 - k), follow these steps:
1. Distribute the coefficients outside the parentheses:
5 * 0.5k - 5 * 1 + 2 * 0.4 - 2 * k
2. Simplify each term:
2.5k - 5 + 0.8 - 2k
3. Group like terms:
(2.5k - 2k) + (-5 + 0.8)
4. Combine like terms:
0.5k - 4.2
Therefore, the decimal form of the answer is 0.5k - 4.2.