Question

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

Answer 1

Subtract: (3b−2c)−(6c+2b)−(b+c) .

Answer 2

Let's simplify the expression \( 5(0.5k - 1) + 2(0.4 - k) \).

1. Distribute the coefficients:
\[
5(0.5k) - 5(1) + 2(0.4) - 2(k)
\]
This simplifies to:
\[
2.5k - 5 + 0.8 - 2k
\]

2. Now, combine like terms:
\[
(2.5k - 2k) + (-5 + 0.8)
\]
This gives us:
\[
0.5k - 4.2
\]

So the final result in decimal form is:
\[
\boxed{0.5k - 4.2}
\]

Answer 3

Let's simplify the expression \( (3b - 2c) - (6c + 2b) - (b + c) \).

1. Distribute the negative sign through the terms inside the parentheses:
\[
(3b - 2c) - 6c - 2b - b - c
\]

2. Combine like terms:
- For the \( b \) terms: \( 3b - 2b - b = 0b = 0 \)
- For the \( c \) terms: \( -2c - 6c - c = -9c \)

Putting these together, we get:
\[
0 - 9c = -9c
\]

Thus, the final result is:
\[
\boxed{-9c}
\]