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

Answer 1

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 2

Subtract: (3b−2c)−(6c+2b)−(b+c) .

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: \[ \boxed{-9c} \]