A) 0.5(recurring) = 0.9

use the fact above to convert 0.05 to a fraction

b) using part (a) or otherwise, convert 0.25 to a fraction in its simplest form

with this question

It sounds like you're saying 0.555... = 0.9. This is not true.

. Meanwhile, , so 0.555... < 0.9.

I guess you're supposed to be converting 0.0555... into a fraction using the fact that 0.555... = 5/9 (because the above has nothing to do with 0.05). Well,

Then for part (b), I think you're supposed to rationalize 0.2555..., and not just 0.25. We have

0.85 or 85%

step-by-step explanation:

1) divide 23 by 27

2) round the decimal to the nearest 10

3) so your answer would be 0.85 or 85%

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is