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Hunter-Best [27]
3 years ago
11

Rearrange w= 3(2a + b) - 4 to make a the subject

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
8 0

Answer:

\boxed{a =  \frac{w}{ 6}  -  \frac{b}{2}  +  \frac{2}{3} }

Step-by-step explanation:

Solve  \: for \:  a:  \\  =  > w=3(2a+b)-4  \\  \\ w=3(2a+b)4 \: is \: equivalent \: to \: 3(2a+b)-4= w:  \\  =  > 3(2a+b) - 4=w  \\  \\ Expand \:  out \:  terms \:  of  \: the  \: left  \: hand \:  side:  \\  =  > (3 \times 2a) + (3 \times b) - 4 = w \\  =  > 6a+3b - 4=w  \\  \\ Subtract  \: 3b  - 4 \:  from  \: both \:  sides:  \\  =  >   6a + 3b - 4 - (3b - 4)=w - (3b - 4) \\   =  > 6a = w - 3b + 4 \\  \\ Divide  \: both  \: sides \:  by  \: 6: \\  =  >  \frac{ \cancel{6}a}{ \cancel{6}}  =  \frac{w - 3b + 4}{6}  \\   =  > a =  \frac{w}{6}  -  \frac{3b}{6}  +  \frac{4}{6}  \\  =  > a =  \frac{w}{ 6}  -  \frac{b}{2}  +  \frac{2}{3}

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Twenty-seven minus 3/2of a number (x) is not more than 36.

27 - (3/2)X = 36

What is the number?

(3/2)X = 27 - 36 = - 9

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Check

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Slotuion:

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[/tex]

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explanation:

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\large \pink{ \overbrace{ \underbrace{ \tt{ \color{red}{ \:  \:  \:  \:  \:  \:  \: hope \: it \: help \: you \:  \:  \:  \:  \:  \:  \:  \: }}}}}

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