Question

Make q the subject of the formula 5(q p) = 4 8p give your answer in its simplest form.

Answer 1

To make q the subject of the formula 5(q + p) = 4 + 8p, you expand the equation, combine like terms, and then divide by 5 to get q = (4 + 3p) / 5.

Step-by-step explanation:

To make q the subject of the formula 5(q + p) = 4 + 8p, we start by expanding and rearranging the equation. Here's the step-by-step process:

1. Expand the equation: 5q + 5p = 4 + 8p.
2. Subtract 5p from both sides: 5q = 4 + 8p - 5p.
3. Combine like terms: 5q = 4 + 3p.
4. Divide both sides by 5 to solve for q: q = (4 + 3p) / 5.

Therefore, the subject of the formula is q = (4 + 3p) / 5 which is in its simplest form.

Answer 2

The simplified formula for q is q = (4/5) + (3p/5).

To make "q" the subject of the formula 5(q+p) = 4+8p, we'll need to isolate "q" on one side of the equation. Here's the step-by-step solution:

1. Distribute the 5 on the left side of the equation to both terms inside the parentheses:

5q + 5p = 4 + 8p

2. Now, let's get all the terms involving "q" on one side of the equation and the terms without "q" on the other side. To do this, subtract 8p from both sides of the equation to move the terms with "p" to the right side:

5q + 5p - 8p = 4 + 8p - 8p

3. Simplify the right side by canceling out the 8p and -8p terms:

5q - 3p = 4

4. To isolate "q," we need to get rid of the -3p on the left side of the equation. To do this, add 3p to both sides:

5q - 3p + 3p = 4 + 3p

5. Simplify the left side by canceling out the -3p and 3p terms:

5q = 4 + 3p

6. Finally, to solve for "q," divide both sides by 5 to isolate "q":

(5q) / 5 = (4 + 3p) / 5

7. Simplify the fractions on the right side if necessary:

q = (4/5) + (3p/5)

So, the formula with "q" as the subject is:

q = (4/5) + (3p/5)

The complete question is here:

Make q the subject of the formula 5(q+p)=4+8p Give your answer in its simplest form. 5(q+p)=4+8p