Question

What is the solution to the equation 0.24 (2 - 10.2) = 6 when solving for z? (1 point)

11.64
35.2
16.44
14.8

Answer 1

The equation is 0.24(x - 10.2) = 6

Answer 2

To solve the equation \(0.24 (2 - 10.2) = 6\) for \(z\), we first need to simplify the left side of the equation.

First, simplify \(2 - 10.2\):
\[
2 - 10.2 = -8.2
\]

Now substitute that back into the equation:
\[
0.24 \times (-8.2) = 6
\]

Calculating the left side:
\[
0.24 \times -8.2 = -1.968
\]

Now the equation looks like this:
\[
-1.968 = 6
\]

Since \(-1.968\) does not equal \(6\), there seems to be some misunderstanding in regards to what needs to be solved for \(z\).

If we assume that \(z\) is supposed to be related to \(0.24\), we can define a new equation depending on what \(z\) represents in your context. However, it doesn't seem that \(z\) is explicitly part of the equation as given.

If you need additional clarification or if there was a typo in stating the equation or what you need to solve for, please provide that.

Answer 3

Thank you for the clarification! Let's solve the equation:

\[
0.24(x - 10.2) = 6
\]

First, we can eliminate the \(0.24\) by dividing both sides of the equation by \(0.24\):

\[
x - 10.2 = \frac{6}{0.24}
\]

Calculating the right side:

\[
\frac{6}{0.24} = 25
\]

So we have:

\[
x - 10.2 = 25
\]

Now, to isolate \(x\), add \(10.2\) to both sides:

\[
x = 25 + 10.2
\]

Now, perform the addition:

\[
x = 35.2
\]

Therefore, the solution for \(x\) is:

\[
\boxed{35.2}
\]