Please help. Need help

C

Step-by-step explanation:

To do this, let's let the decimal equal n. Thus:

There is only one digit repeating, so let's multiply both sides of the equation by 10:

Now, subtract n from both sides:

On the right, it becomes 9n. However, the left, however, expand, the decimal. In other words:

All of the repeating 1s will cancel out. Thus:

Subtract:

Divide both sides by 9:

And since we set the decimal equal to n originally...

And we're done!

Notes:

This is the algebraic way to write a repeating decimal into a fraction. You can, of course, always just use a calculator and guess and check.

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!