Write as a Function of d d=420-65t

$d = 420 - 65 t$

Step 1

Rewrite the equation as $420 - 65 t = d$ .

$420 - 65 t = d$

Step 2

Subtract $420$ from both sides of the equation.

$- 65 t = d - 420$

Step 3

Divide each term in $- 65 t = d - 420$ by $- 65$ and simplify.

Divide each term in $- 65 t = d - 420$ by $- 65$ .

$\frac{- 65 t}{- 65} = \frac{d}{- 65} + \frac{- 420}{- 65}$

Simplify the left side.

Cancel the common factor of $- 65$ .

Cancel the common factor.

$\frac{- 65 t}{- 65} = \frac{d}{- 65} + \frac{- 420}{- 65}$

Divide $t$ by $1$ .

$t = \frac{d}{- 65} + \frac{- 420}{- 65}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$t = - \frac{d}{65} + \frac{- 420}{- 65}$

Cancel the common factor of $- 420$ and $- 65$ .

Factor $- 5$ out of $- 420$ .

$t = - \frac{d}{65} + \frac{- 5 (84)}{- 65}$

Cancel the common factors.

Factor $- 5$ out of $- 65$ .

$t = - \frac{d}{65} + \frac{- 5 \cdot 84}{- 5 \cdot 13}$

Cancel the common factor.

$t = - \frac{d}{65} + \frac{- 5 \cdot 84}{- 5 \cdot 13}$

Rewrite the expression.

$t = - \frac{d}{65} + \frac{84}{13}$

Step 4

To rewrite as a function of $d$ , write the equation so that $t$ is by itself on one side of the equal sign and an expression involving only $d$ is on the other side.

$f (d) = - \frac{d}{65} + \frac{84}{13}$

Write as a Function of d d=420-65t

Related Questions

Support LCMGCF.com by disabling your adblocker.