Which is not a valid rearrangement of v = 1/3bh?
A. h=3vb
B. b=3vh
C. v=13hb
D. 3=bhv**
100 and no response
The valid rearrangement of the equation v = 1/3bh is h = 3vb, as stated in option A.
Option B, b = 3vh, is also a valid rearrangement.
Option C, v = 13hb, is not a valid rearrangement of the equation. The correct rearrangement should have the constant (1/3) in front of the bh term, so option C is not valid.
Option D, 3 = bhv, is also not a valid rearrangement. The correct rearrangement should have the variables (b, h, v) on one side of the equation, and the constant (1/3) on the other side. Option D does not follow this structure, so it is not a valid rearrangement.
In summary, option C (v = 13hb) is the answer to "Which is not a valid rearrangement of v = 1/3bh?"
To determine which rearrangement is not valid for the equation v = 1/3bh, you need to understand the rules of rearranging an equation.
Let's break down the given equation v = 1/3bh:
v = 1/3bh
To rearrange this equation, you can perform the following steps:
1. Start with the given equation: v = 1/3bh.
2. Multiply both sides of the equation by 3 to eliminate the fraction: 3v = bh.
3. Divide both sides of the equation by h to solve for b: 3v/h = b.
Using these steps, we can now evaluate each of the options to determine which is not a valid rearrangement:
A. h = 3vb:
This rearrangement is not valid because the equation doesn't match the original equation structure. The original equation has "bh" on the right side, but this rearrangement has "bv" instead.
B. b = 3vh:
This rearrangement is valid because it preserves the original structure of the equation. We have b isolated on one side of the equation, just like in the original equation.
C. v = 13hb:
This rearrangement is not valid since the order of the variables is incorrect. The original equation has "bh" on the right side, while this rearrangement has "hb" instead.
D. 3 = bhv:
This rearrangement is valid because it preserves the original structure of the equation. The variables are in the same order as in the original equation, although they are written in a different sequence.
Therefore, the answer is option C (v=13hb), as it is not a valid rearrangement of v = 1/3bh.
the way you typed it ....
v = 1/3bh
then:
3v = bh <---- all shown are non-valid arrangements
if you meant:
v = 1/(3bh) , then
3bhv = 1, and you have ....
A. h=3vb <---- no good
B. b=3vh <---- no good
C. v=13hb <----- no good, would be true if you meant v = 1/(3bh), but that's not what you had
D. 3=bhv** <---- no way again
so even with that interpretation, none are valid