Kele J. I need help in solving this. the 1/3 is a fraction. More 1 Expert Answer
Arturo O. answered • 01/20/20 Experienced Physics Teacher for Physics Tutoring V = (1/3)πr2h Solve for h by getting h by itself on one side of the equation. Multiply both sides by 3, divide both sides by πr2, and get 3V / (πr2) = h h = 3V / (πr2) Still looking for help? Get the right answer, fast.ORFind an Online Tutor Now Choose an expert and meet online. No packages or subscriptions, pay only for the time you need. Video transcriptSolve P equals 2l plus 2w for l. So this right here, this is just the formula for the perimeter of a rectangle. Perimeter is equal to 2 times the length plus 2 times the width. But they just want us to solve this equation right here, solve for l. So let's do that. So we have P is equal to 2 times l plus 2 times w. So we need to solve for l. So let's isolate all of the l terms on one side. And the best way, we could just do that by leaving it here on the right and then getting rid of this 2w. And the best way to get rid of this 2w is to subtract it from the right. But if you're going to subtract it from the right, you also have to subtract it from the left if you want this equality to hold. So you have to also subtract it from the left. And so the left-hand side becomes P minus 2w. And the right-hand side, you get-- this 2w minus 2w cancels out. You just have a 2l. And then if you want to solve for l, you just have to divide both sides of this equation by 2. You just divide both sides of this equation by 2. And we have isolated our l. We get l is equal to P minus 2w over 2. Or if we wanted to write it the other way, you could write l is equal to P minus 2w over 2. And we are done. Lesson Objectives
How to Solve Literal Equations (Solve for a Specified Variable) As we continue our study of Algebra, we will often encounter formulas. These formulas are equations where variables are used to describe a mathematical relationship. In some cases, we will be asked
to manipulate the formula by solving the equation for a specified variable. When we solve a formula for a specified variable, we generally refer to this as solving literal equations. As an example, let’s consider the distance formula:
Let's take a look at an example. Skills Check:Example #1 Solve the equation for n. $$8t + dn=n + 17w$$ Please choose the best answer. A $$n=\frac{d - 1}{17w - 8t}$$ D $$n=\frac{17w - 8t}{d - 1}$$ Example #2 Solve the equation for p. $$18p + 10p=jp - q$$ Please choose the best answer. A $$p=\frac{q + j}{28 - j}$$ C $$p=-\frac{180 - j}{q + j}$$ Example #3 Solve the equation for w. $$j=\frac{11z - r}{17w}$$ Please choose the best answer. A $$w=\frac{11z - r}{17j}$$ B $$w=\frac{17z + r}{11z - r + 11}$$ C $$w=\frac{187 + r}{z - j}$$ D $$w=\frac{28rz}{j + z}$$ E $$w=\frac{11 + rz}{j - z}$$ Congrats, Your Score is 100% Better Luck Next Time, Your Score is % Try again?
What is the formula for variable?Thus, the formula of linear equation in one variable is ax + b = 0.
Why is it useful to solve a formula for a specific variable?Formulas are used in so many fields, it is important to recognize formulas and be able to manipulate them easily. It is often helpful to solve a formula for a specific variable. If you need to put a formula in a spreadsheet, it is not unusual to have to solve it for a specific variable first.
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