Math / Algebra

Questionve the following equation for $d$ . Be sure to take into account whether a letter $\frac{Q}{R}=\frac{8}{d}$

Studdy Solution

STEP 1

What is this asking? We're asked to rearrange a simple equation to solve for the variable $d$ , essentially flipping it around! Watch out! Don't forget that when manipulating equations, whatever you do to one side, you must do to the other to keep things balanced.

STEP 2

1. Isolate $d$
2. Calculate $d$

STEP 3

We want to get $d$ out of the denominator.
To do that, let's multiply both sides of the equation by $d$ .
Remember, what we do to one side, we must do to the other! $\frac{Q}{R} \cdot d = \frac{8}{d} \cdot d$ On the right side, the $d$ in the numerator and the $d$ in the denominator divide to one, leaving us with: $\frac{Q}{R} \cdot d = 8$

STEP 4

Now, we want to get $R$ out of the denominator on the left side.
We can do this by multiplying both sides by $R$ : $\frac{Q}{R} \cdot d \cdot R = 8 \cdot R$ On the left side, the $R$ in the numerator and the $R$ in the denominator divide to one, giving us: $Q \cdot d = 8 \cdot R$

STEP 5

Finally, to isolate $d$ , we need to divide both sides by $Q$ : $\frac{Q \cdot d}{Q} = \frac{8 \cdot R}{Q}$ On the left side, the $Q$ in the numerator and the $Q$ in the denominator divide to one, so we get: $d = \frac{8 \cdot R}{Q}$ Now, $d$ is completely isolated, and we have a formula for it!

STEP 6

Since the problem didn't give us specific values for $Q$ and $R$ , we can't calculate a numerical value for $d$ .
Our final answer is the formula we derived: $d = \frac{8 \cdot R}{Q}$

STEP 7

Our solution for $d$ is: $d = \frac{8 \cdot R}{Q}$

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Questionve the following equation for $d$ . Be sure to take into account whether a letter $\frac{Q}{R}=\frac{8}{d}$

Studdy Solution

STEP 1

What is this asking? We're asked to rearrange a simple equation to solve for the variable $d$ , essentially flipping it around! Watch out! Don't forget that when manipulating equations, whatever you do to one side, you must do to the other to keep things balanced.

STEP 2

1. Isolate $d$
2. Calculate $d$

STEP 3

STEP 4

Now, we want to get $R$ out of the denominator on the left side.
We can do this by multiplying both sides by $R$ : $\frac{Q}{R} \cdot d \cdot R = 8 \cdot R$ On the left side, the $R$ in the numerator and the $R$ in the denominator divide to one, giving us: $Q \cdot d = 8 \cdot R$

STEP 5

Finally, to isolate $d$ , we need to divide both sides by $Q$ : $\frac{Q \cdot d}{Q} = \frac{8 \cdot R}{Q}$ On the left side, the $Q$ in the numerator and the $Q$ in the denominator divide to one, so we get: $d = \frac{8 \cdot R}{Q}$ Now, $d$ is completely isolated, and we have a formula for it!

STEP 6

Since the problem didn't give us specific values for $Q$ and $R$ , we can't calculate a numerical value for $d$ .
Our final answer is the formula we derived: $d = \frac{8 \cdot R}{Q}$

STEP 7

Our solution for $d$ is: $d = \frac{8 \cdot R}{Q}$

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Questionve the following equation for ddd. Be sure to take into account whether a letter QR=8d\frac{Q}{R}=\frac{8}{d}RQ​=d8​

Studdy Solution

STEP 1

What is this asking? We're asked to rearrange a simple equation to solve for the variable ddd, essentially flipping it around! Watch out! Don't forget that when manipulating equations, whatever you do to one side, you *must* do to the other to keep things balanced.

STEP 2

1. Isolate ddd2. Calculate ddd

STEP 3

STEP 4

STEP 5

STEP 6

Since the problem didn't give us specific values for QQQ and RRR, we can't calculate a numerical value for ddd.Our **final answer** is the formula we derived: d=8⋅RQ d = \frac{8 \cdot R}{Q} d=Q8⋅R​

STEP 7

Our solution for ddd is: d=8⋅RQ d = \frac{8 \cdot R}{Q} d=Q8⋅R​

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Questionve the following equation for $d$ . Be sure to take into account whether a letter $\frac{Q}{R}=\frac{8}{d}$

What is this asking? We're asked to rearrange a simple equation to solve for the variable $d$ , essentially flipping it around! Watch out! Don't forget that when manipulating equations, whatever you do to one side, you must do to the other to keep things balanced.

1. Isolate $d$
2. Calculate $d$

Since the problem didn't give us specific values for $Q$ and $R$ , we can't calculate a numerical value for $d$ .
Our final answer is the formula we derived: $d = \frac{8 \cdot R}{Q}$

Our solution for $d$ is: $d = \frac{8 \cdot R}{Q}$