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

Question

Abstract representation of a mathematical equation consisting of the addition operation between two groups of numbers. The first group contains multiplication of 5 and a sequence: half of a variable 'k' subtracted by 1. The second group under the addition operations features multiplication of 2 and another sequence: 0.4 subtracted by the variable 'k'. The visual presents this equation without any textual information. The scene represents an abstract visualization of the calculations involving the variable, the operations, and the sequence without revealing the exact solution.

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

Answer 1

To solve the equation, we need to distribute the coefficients and combine like terms:

5(0.5k−1) + 2(0.4−k)
= 2.5k - 5 + 0.8 - 2k
= 2.5k - 2k - 5 + 0.8
= 0.5k - 4.2

Therefore, the answer in decimal form is 0.5k - 4.2.

Answer 2

To add the expression 5(0.5k - 1) + 2(0.4 - k), you can follow these steps:

Step 1: Distribute the coefficients:
= 5 * 0.5k - 5 * 1 + 2 * 0.4 - 2 * k

Step 2: Simplify each term:
= 2.5k - 5 + 0.8 - 2k

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

Step 4: Simplify further:
= 0.5k - 4.2

So, the answer in decimal form is 0.5k - 4.2.

Answer 3

To solve this expression, we need to distribute the coefficients to each term inside the parentheses.

Let's start by distributing 5 to (0.5k - 1) and distributing 2 to (0.4 - k):

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, we can combine the like terms. In this case, the like terms are the k terms and the constant terms:

= (2.5k - 2k) + (-5 + 0.8)

= 0.5k - 4.2

So, the simplified expression in decimal form is 0.5k - 4.2.