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Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home pay, p, for h hours worked at a rate of r dollars per hour and any bonus received, b.What is an equivalent equation solved for h?

Respuesta :

HomertheGenius
p = 0.7 ( r h  + b )
p = 0.7 r h + 0.7 b
0.7 r h = p - 0.7 b
h = ( p - 0.7 b ) / 0.7 r
h = 10 ( p - 0.7 b ) / 7 r
h = ( 10 p - 7 b ) / 7 r
TaeKwonDoIsDead

Answer:

[tex]h=\frac{p-0.7b}{0.7r}[/tex]


Step-by-step explanation:

The equation given is  [tex]p=0.7(rh+b)[/tex]

Using distributive property on this, we can expand. Distributive property is given as:

[tex]a(b+c)=ab+ac[/tex]

Using this, we have:

[tex]p=0.7rh+0.7b[/tex]

Rearranging and solving for  [tex]h[/tex]  gives us:

[tex]p-0.7b=0.7rh\\\frac{p-0.7b}{0.7r}=h[/tex]

This is the formula with  [tex]h[/tex]  as the subject.

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