Math / Algebra

QuestionSolve the formula for the given variable. $\begin{array}{l} T=f m-g m ; m \quad \text { (Engineering) } \\ m=\square \end{array}$
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Studdy Solution

STEP 1

1. The formula given is $T = fm - gm$ .
2. We need to solve for the variable $m$ .
3. The equation involves basic algebraic operations, specifically factoring and division.

STEP 2

1. Simplify the equation by factoring out the common variable.
2. Isolate the variable $m$ by performing algebraic operations.
3. Express $m$ explicitly in terms of the other variables.

STEP 3

First, notice that $m$ is a common factor in both terms on the right side of the equation. We can factor $m$ out:
$T = m(f - g)$

STEP 4

Now, we need to isolate $m$ . To do this, divide both sides of the equation by $(f - g)$ :
$\frac{T}{f - g} = m$

STEP 5

Express $m$ explicitly in terms of $T$ , $f$ , and $g$ :
$m = \frac{T}{f - g}$
The solution for $m$ is:
$m = \frac{T}{f - g}$

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QuestionSolve the formula for the given variable. $\begin{array}{l} T=f m-g m ; m \quad \text { (Engineering) } \\ m=\square \end{array}$
Need Help? Read It Watch It

Studdy Solution

STEP 1

1. The formula given is $T = fm - gm$ .
2. We need to solve for the variable $m$ .
3. The equation involves basic algebraic operations, specifically factoring and division.

STEP 2

1. Simplify the equation by factoring out the common variable.
2. Isolate the variable $m$ by performing algebraic operations.
3. Express $m$ explicitly in terms of the other variables.

STEP 3

First, notice that $m$ is a common factor in both terms on the right side of the equation. We can factor $m$ out:
$T = m(f - g)$

STEP 4

Now, we need to isolate $m$ . To do this, divide both sides of the equation by $(f - g)$ :
$\frac{T}{f - g} = m$

STEP 5

Express $m$ explicitly in terms of $T$ , $f$ , and $g$ :
$m = \frac{T}{f - g}$
The solution for $m$ is:
$m = \frac{T}{f - g}$

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QuestionSolve the formula for the given variable. T=fm−gm;m (Engineering) m=□\begin{array}{l} T=f m-g m ; m \quad \text { (Engineering) } \\ m=\square \end{array}T=fm−gm;m (Engineering) m=□​Need Help? Read It Watch It

Studdy Solution

STEP 1

1. The formula given is T=fm−gm T = fm - gm T=fm−gm.2. We need to solve for the variable m m m.3. The equation involves basic algebraic operations, specifically factoring and division.

STEP 2

1. Simplify the equation by factoring out the common variable.2. Isolate the variable m m m by performing algebraic operations.3. Express m m m explicitly in terms of the other variables.

STEP 3

First, notice that m m m is a common factor in both terms on the right side of the equation. We can factor m m m out:T=m(f−g) T = m(f - g) T=m(f−g)

STEP 4

Now, we need to isolate m m m. To do this, divide both sides of the equation by (f−g) (f - g) (f−g):Tf−g=m \frac{T}{f - g} = m f−gT​=m

STEP 5

Express m m m explicitly in terms of T T T, f f f, and g g g:m=Tf−g m = \frac{T}{f - g} m=f−gT​ The solution for m m m is:m=Tf−g m = \frac{T}{f - g} m=f−gT​

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QuestionSolve the formula for the given variable. $\begin{array}{l} T=f m-g m ; m \quad \text { (Engineering) } \\ m=\square \end{array}$
Need Help? Read It Watch It

1. The formula given is $T = fm - gm$ .
2. We need to solve for the variable $m$ .
3. The equation involves basic algebraic operations, specifically factoring and division.

1. Simplify the equation by factoring out the common variable.
2. Isolate the variable $m$ by performing algebraic operations.
3. Express $m$ explicitly in terms of the other variables.

First, notice that $m$ is a common factor in both terms on the right side of the equation. We can factor $m$ out:
$T = m(f - g)$

Now, we need to isolate $m$ . To do this, divide both sides of the equation by $(f - g)$ :
$\frac{T}{f - g} = m$

Express $m$ explicitly in terms of $T$ , $f$ , and $g$ :
$m = \frac{T}{f - g}$
The solution for $m$ is:
$m = \frac{T}{f - g}$