Question

Evaluate the expression `\frac{3mn}{-2p}` when `m\ =\ \frac{1}{3},` `n\ =-3,`and `p=3.`

Answer 1

Match the inequality to the graph of its solution.(2 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
A number line between negative 10 and 10 is shown. A blue open circle is shown at 10, and a blue ray is drawn to the left of 10.

A number line between negative 10 and 10 is shown. A blue closed circle is shown at negative 4, and a blue ray is drawn to the left of negative 4.
A number line is labeled from negative 10 to 10. There is an open circle on 4 and the line is shaded to the right.

Answer 2

To evaluate the expression, we substitute the given values of m, n, and p into the expression.

Given \(m = \frac{1}{3}\), \(n = -3\), and \(p = 3\), the expression becomes:

\[
\frac{3mn}{-2p} = \frac{3\left(\frac{1}{3}\right)(-3)}{-2(3)}
\]

Simplifying the expression within the brackets, we have:

\[
\frac{3\left(\frac{1}{3}\right)(-3)}{-2(3)} = \frac{1(-3)(3)}{-2(3)}
\]

Further simplifying, we get:

\[
\frac{1(-3)(3)}{-2(3)} = \frac{-9}{-6}
\]

Dividing -9 by -6 gives:

\[
\frac{-9}{-6} = \frac{3}{2}
\]

Therefore, the value of the expression \(\frac{3mn}{-2p}\) when \(m = \frac{1}{3}\), \(n = -3\), and \(p = 3\) is \(\frac{3}{2}\).