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Anettt [7]
3 years ago
12

Make b the subject of the formula P=2a+b

Mathematics
2 answers:
Gelneren [198K]3 years ago
5 0
In order to make b the subject of this equation, we must isolate it on the left side. We can do this by following these steps:

P = 2a+b

Subtract b from both sides

P - b = 2a+b-b

P-b=2a

Subtract P from both sides

P-b-P=2a-P

-b=2a-P

Now, we have isolated b, but it is negative. We can fix this by multiplying both sides of the equation by -1.

-(-b)=-(2a-P)

b=-2a+P

Which is your final answer.
b = -2a+P.
Hope that helped! =)
andrey2020 [161]3 years ago
4 0
If you're trying to isolate b, then you can do the following:

P=2a+b
P-2a=b
b=P-2a

But I'm not sure if that's what it is asking you to do.
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if his assistant can do the job in 6 hours, that means, in 1 hour, he has done only 1/6 of the whole job.

let's say if both of them work together, they can do the job in "t" hours, so in 1 hour alone, the carpenter has done 1/4 of it, and the assistant has done 1/6 of it, for a total of 1/t of the job.


\bf \stackrel{\textit{carpenter's rate}}{\cfrac{1}{4}}+\stackrel{\textit{assistant's rate}}{\cfrac{1}{6}}~~=~~\stackrel{\textit{total done}}{\cfrac{1}{t}}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\cfrac{3+2}{12}=\cfrac{1}{t}\implies \cfrac{5}{12}=\cfrac{1}{t}\implies 5t=12\implies t=\cfrac{12}{5}\implies \stackrel{\textit{2 hours and 24 minutes}}{t=2\frac{2}{5}}

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Alexeev081 [22]
Hello,
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I think... I'm not sure... but it would make sense lol :)
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