How do you evaluate #.85=160/v#?

1 Answer
Jun 14, 2017

Answer:

See a solution process below:

Explanation:

Multiply each side of the equation by #color(red)(v)/color(blue)(0.85)# to solve for #v# while keeping the equation balanced:

#color(red)(v)/cancel(color(blue)(0.85)) xx color(blue)(cancel(color(black)(0.85))) = cancel(color(red)(v))/color(blue)(0.85) xx 160/color(red)(cancel(color(black)(v)))#

#v = 160/0.85#

#v = 160/0.85 xx 100/100#

#v = 16000/85#

#v = (5 xx 3200)/(5 xx 17)#

#v = (color(red)(cancel(color(black)(5))) xx 3200)/(color(red)(cancel(color(black)(5))) xx 17)#

#v = 3200/17#

Or

#v = 188.235# rounded to the nearest thousandth.