The repeating decimal, 0.ModifyingAbove 27 with bar, is converted to the fraction 0.ModifyingAbove 27 with bar = StartFraction 3 Over x EndFraction.

and value of x is 11.

Step-by-step explanation:

The given repeating decimal is . We need to convert this into the fraction form.

     ...(i)

Multiply both sides by 100 as two digit are under the bar.

  ...(ii)

Subtracting (i) from (ii), we get

Divide both sides by 99.

So, .

It is given that .

Therefore, the required fraction is and the value of x is 11.

(2,9)

i think thats the answer i checked it on google

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.