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

Question

Answer: 0.5k - 4.2
Describe as a 7th grader in short and simple sentences + show all your work. Also make sure its all text so it can be copy and pasted.

Answer 1

Let's add the expressions step by step.

First, we have the expression:

5(0.5k - 1) + 2(0.4 - k)

Step 1: Distribute 5 to (0.5k - 1): 5 * 0.5k = 2.5k
5 * -1 = -5

So, this part becomes:
2.5k - 5

Step 2: Distribute 2 to (0.4 - k): 2 * 0.4 = 0.8
2 * -k = -2k

So, this part becomes:
0.8 - 2k

Step 3: Now we can combine both parts: (2.5k - 5) + (0.8 - 2k)

Step 4: Combine the like terms: For the k terms:
2.5k - 2k = 0.5k

For the constant terms:
-5 + 0.8 = -4.2

Step 5: Put them together: 0.5k - 4.2

So, the final answer is:
0.5k - 4.2

Answer 2

can you shorten it more

Answer 3

Sure! Here’s a shorter version:

We start with:
5(0.5k - 1) + 2(0.4 - k)

Step 1: Distribute:
5 * 0.5k = 2.5k
5 * -1 = -5
This gives us: 2.5k - 5

Step 2: Distribute:
2 * 0.4 = 0.8
2 * -k = -2k
This gives us: 0.8 - 2k

Step 3: Combine:
(2.5k - 5) + (0.8 - 2k)

Combine like terms:
2.5k - 2k = 0.5k
-5 + 0.8 = -4.2

Final answer:
0.5k - 4.2