Solve the equation for m. ms+mv = t

1 answer:

8 0

The goal is to get m alone on one side of the equals and to get things not m on the other. With two m terms on the left it looks fine, but subtracting one sends it to the other side. Adding it back takes us back to the start.

That's not the way to start. Instead, m and s are put together with multiplying. So are m and t. Let's try instead to get m away from the other variables.

ms + mv = t

m (s + v) = t <--- factor m out as a common factor

m = t / (s + v) < ---- divide both sides by s + v

Thus, $m =\frac{t}{s + v}$

You might be interested in

Micah places a mirror on the ground 24 feet from the base of a tree. He walks

irina [24]

The height of tree is 8 feet

<h3><u>Solution:</u></h3>

Given, Micah places a mirror on the ground 24 feet from the base of a tree

At that point, Micah's eyes are 6 feet above the ground

And he is 9 feet from the image in the mirror.

To find : height of tree = ?

Let "n" be the height of tree

From the question, we can see there is a directly proportional relationship between heights and distances.

Proportional relationships are relationships between two variables where their ratios are equivalent.

$\frac{\text { height of micah eyes above ground }}{\text { distance of micah from mirror }}=\frac{\text { height of tree above the ground }}{\text { distance of tree from mirror }}$

$\begin{array}{l}{\frac{6 \text { feet }}{9 \text { feet }}=\frac{n \text { feet }}{24 \text { feet }}} \\\\ {\frac{6}{9}=\frac{n}{24}} \\\\ {\text { n }=\frac{1}{3} \times 24} \\\\ {\text { n }=8}\end{array}$