Question

add:%205(0.5k%E2%88%921)+2(0.4%E2%88%92k)

Answer 1

The answer has to be in a decimal form

Answer 2

I think this is way more complicated than it has to be it only says to add: 5 (0.5 - k) + 2 (0.4 - k) and then put the answer in a decimal form

Answer 3

Sorry the expression is actually: 5 (0.5 - 1) + 2 (0.4 - k)

Answer 4

Subtract 1/2(z+4)−3(1/4z+1) . Use fractions in final form

Answer 5

subtract: (3b - 2c) - (6c+2b) - (b+c)

Answer 6

To add the two expressions you provided, we need to carefully handle the exponential terms and organize the expression. The terms appear to be:

1. \( 5(0.5k^{-1}) \)
2. \( 2(0.4e^{-k}) \)

Let's simplify each term step by step:

1. The first term:
\[
5(0.5k^{-1}) = \frac{5 \times 0.5}{k} = \frac{2.5}{k}
\]

2. The second term:
\[
2(0.4e^{-k}) = 0.8e^{-k}
\]

Now, we can write the original expression as:
\[
\frac{2.5}{k} + 0.8e^{-k}
\]

This is the result of your expression. If you would like to perform further operations or simplifications, or if this was not what you intended, please clarify!

Answer 7

To express the combined result of the terms in decimal form, we have:

\[
\frac{2.5}{k} + 0.8e^{-k}
\]

This expression cannot be simplified further into a single decimal number, as it includes a variable \( k \). However, we can express the terms in decimal format as they currently stand, which are:

1. **For \( \frac{2.5}{k} \)**:
- This value will depend on the specific numeric value of \( k \).

2. **For \( 0.8e^{-k} \)**:
- This also depends on the specific numeric value of \( k \) since \( e^{-k} \) is an exponential function.

If you have a specific value for \( k \) that you want to substitute into the expression, please provide that, and I can compute the decimal value for you.

If you are looking for a more general grasp of how this behaves with different values of \( k \), here’s an example of what the calculation would look like with a hypothetical value of \( k = 1 \):

1. Calculate \( \frac{2.5}{1} + 0.8e^{-1} \):
- \( \frac{2.5}{1} = 2.5 \)
- \( e^{-1} \approx 0.367879 \)
- \( 0.8e^{-1} \approx 0.8 \times 0.367879 \approx 0.2943032 \)

Combining these:
\[
2.5 + 0.2943032 \approx 2.7943032
\]

If you have a specific value for \( k \), I can calculate that value directly.

Answer 8

I apologize for the misunderstanding! Let's simplify the expression you've given step by step.

You want to add:

\[
5(0.5 - k) + 2(0.4 - k)
\]

Let's distribute the coefficients in each term:

1. For the first term:
\[
5(0.5 - k) = 5 \times 0.5 - 5 \times k = 2.5 - 5k
\]

2. For the second term:
\[
2(0.4 - k) = 2 \times 0.4 - 2 \times k = 0.8 - 2k
\]

Now we can combine these results:

\[
(2.5 - 5k) + (0.8 - 2k)
\]

Combine the constant terms and the \( k \) terms:

- Constant terms:
\[
2.5 + 0.8 = 3.3
\]

- \( k \) terms:
\[
-5k - 2k = -7k
\]

Putting it all together, the expression simplifies to:

\[
3.3 - 7k
\]

This is the final expression in decimal form. If you have a specific value for \( k \), you could substitute it in to get a numerical result. Otherwise, this is the simplified form. Thank you for your patience!

Answer 9

No problem! Let's simplify the corrected expression:

\[
5(0.5 - 1) + 2(0.4 - k)
\]

### Step 1: Simplify \( 5(0.5 - 1) \)

\[
0.5 - 1 = -0.5
\]

Now multiply by 5:

\[
5(-0.5) = -2.5
\]

### Step 2: Simplify \( 2(0.4 - k) \)

Distributing 2:

\[
2(0.4) - 2(k) = 0.8 - 2k
\]

### Step 3: Combine the results

Now combine the two parts together:

\[
-2.5 + (0.8 - 2k)
\]

Simplifying this gives you:

\[
-2.5 + 0.8 - 2k = -1.7 - 2k
\]

### Final Result

Therefore, the simplified expression is:

\[
-1.7 - 2k
\]

This is expressed in decimal form. If you need further assistance or want to evaluate it for a specific value of \( k \), please let me know!

Answer 10

To subtract the given expression \( \frac{1}{2}(z + 4) - 3\left(\frac{1}{4}z + 1\right) \), let's simplify it step by step.

### Step 1: Distribute the terms

1. Distributing \( \frac{1}{2}(z + 4) \):

\[
\frac{1}{2}z + \frac{1}{2} \cdot 4 = \frac{1}{2}z + 2
\]

2. Distributing \( 3\left(\frac{1}{4}z + 1\right) \):

\[
3\left(\frac{1}{4}z\right) + 3(1) = \frac{3}{4}z + 3
\]

### Step 2: Write the full expression

Now, substituting these distributed results back into the original expression gives us:

\[
\left( \frac{1}{2}z + 2 \right) - \left( \frac{3}{4}z + 3 \right)
\]

### Step 3: Combine like terms

Now we can rewrite this as:

\[
\frac{1}{2}z + 2 - \frac{3}{4}z - 3
\]

Combining the \( z \) terms and the constant terms:

1. **Combine the \( z \) terms**:

To combine \( \frac{1}{2}z \) and \( -\frac{3}{4}z \), we need a common denominator.

The denominator for \( \frac{1}{2} \) is 2 and for \( \frac{3}{4} \) is 4. The least common multiple of 2 and 4 is 4.

- Rewrite \( \frac{1}{2}z \) as \( \frac{2}{4}z \):

\[
\frac{2}{4}z - \frac{3}{4}z = -\frac{1}{4}z
\]

2. **Combine the constant terms**:

\[
2 - 3 = -1
\]

### Final Result

Putting it all together, we have:

\[
-\frac{1}{4}z - 1
\]

Thus, the final answer is:

\[
-\frac{1}{4}z - 1
\]

Answer 11

To subtract the expression \( (3b - 2c) - (6c + 2b) - (b + c) \), we will proceed step by step.

### Step 1: Distribute the negative sign

First, we need to distribute the negative signs across each of the terms inside the parentheses:

\[
(3b - 2c) - (6c + 2b) - (b + c) = (3b - 2c) - 6c - 2b - b - c
\]

### Step 2: Combine like terms

Next, we will combine the \( b \) terms and the \( c \) terms separately:

1. **Combine the \( b \) terms**:
- The \( b \) terms are \( 3b \), \( -2b \), and \( -b \):
\[
3b - 2b - b = 3b - 2b - 1b = (3 - 2 - 1)b = 0b = 0
\]

2. **Combine the \( c \) terms**:
- The \( c \) terms are \( -2c \), \( -6c \), and \( -c \):
\[
-2c - 6c - c = (-2 - 6 - 1)c = -9c
\]

### Step 3: Write the final result

Now combine the results:

\[
0b - 9c = -9c
\]

### Final Result

Thus, the final result of the expression is:

\[
-9c
\]