Question

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

Answer 1

To add the algebraic expressions 5(0.5k−1) + 2(0.4−k), distribute the numbers outside the parentheses and then combine like terms to get the final answer in decimal form, which is 0.5k − 4.2.

Step-by-step explanation:

The original question is asking to add two algebraic expressions: 5(0.5k−1) + 2(0.4−k). To find the sum in decimal form, we need to distribute the numbers outside the parentheses and combine like terms.

First, distribute the 5 into the first set of parentheses: 5 × 0.5k = 2.5k, and 5 × (−1) = −5.

Then, distribute the 2 into the second set of parentheses: 2 × 0.4 = 0.8, and 2 × (−k) = −2k.

Now combine like terms: 2.5k − 5 + 0.8 − 2k = 0.5k − 4.2. So the final answer in decimal form is 0.5k − 4.2.