Let $x=(0.\overline{6})(0.\overline{60} )$. when $x$ is written out as a decimal, what is the sum of the first $15$ digits after the decimal point?

Step-by-step explanation:

It looks like you want the sum of digits of the product ...

Since the decimal fraction starts off with 4 and has an even number of repeating digits, there will be 8 4's and 7 0's in the sum of the first 15 decimal digits:

  sum = 8×4 +7×0 = 32

The sum of the first 15 digits after the decimal point is 32.

choice b is correct

step-by-step explanation:

we have been given the following system of linear inequalities;

we are required to graphically determine the solution to these system of inequalities. using a graphing tool, the solution is as shown in the attachment below;