Rearrange the following formula to solve for the indicated variable.T=50+N−404T=50+\frac{N-40}{4}Solve for NN.

N = 4 ( T − 50 ) + 40 N=4\left(T-50\right)+40 N = 4 ( T − 50 ) + 40

Rearrange the following formula to solve for the indicated variable. T = 50 + N − 40 4 T=50+\frac{N-40}{4} Solve for N N .

For this problem, we need to rearrange this formula to solve for n. So my first step is I'm going to rewrite my formula over here just so that I have a little bit more room to work with. So first, we need to simplify. Here, our formula is already as simple as it can get. So next we're going to collect, we need to collect all terms that have n on one side and all terms that don't have n on the other side. So to do that, we're going to subtract 50 from both sides of this equation. So we get t minus 50 is equal to n minus 40 divided by four. And now we need to isolate, which we can do by multiplying both sides by four. So we get four times t minus 50 is equal to n minus 40. And lastly, we can add 40 to both sides. So, we get four times t minus 50, plus 40, is equal to n. And that there is our final answer.

Rearrange the following formula to solve for the indicated variable. T = 50 + N − 40 4 T=50+\frac{N-40}{4} Solve for N N .

N = 4 ( T − 50 ) + 40 N=4\left(T-50\right)+40 N = 4 ( T − 50 ) + 40

N = 4 ( T − 50 ) − 40 N=4\left(T-50\right)-40 N = 4 ( T − 50 ) − 40

N = 4 ( T + 50 ) + 40 N=4\left(T+50\right)+40 N = 4 ( T + 50 ) + 40

N = 4 ( 50 − T ) + 40 N=4\left(50-T\right)+40 N = 4 ( 50 − T ) + 40

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Beginning & Intermediate Algebra

3. Solving Word Problems

Formulas

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Multiple Choice

Rearrange the following formula to solve for the indicated variable.
$T = 50 + \frac{N - 40}{4}$
Solve for $N$ .

$N=4\left(T-50\right)-40$

$N=4\left(T+50\right)+40$

$N=4\left(50-T\right)+40$

$N=4\left(T-50\right)+40$

Verified step by step guidance

Start with the given formula: $T = 50 + \frac{N - 40}{4}$.

Isolate the fraction by subtracting 50 from both sides: $T - 50 = \frac{N - 40}{4}$.

Eliminate the denominator by multiplying both sides of the equation by 4: \$4(T - 50) = N - 40$.

Solve for $N$ by adding 40 to both sides: $N = 4(T - 50) + 40$.

This expression now gives $N$ in terms of $T$, completing the rearrangement.

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