The distance from the sun to mars is an average of 2.1¯ times the distance from the sun to venus. how can this repeating decimal be expressed as a fraction? a. 21/10 b. 20/9 c. 19/9 d. 19/8 explain i'm having trouble and want to study for a test

The correct option will be:  C.

Explanation

The repeating decimal given is:   which means 2.1111111111..........

Suppose, the given number 2.1111111111.......... as

Here the repeating digit is 1 . First, we need to move the decimal point after the repeating digit. So we can do that by multiplying both sides by 10. Thus....

Now subtracting the above two equations , we will get.....

So, the given repeating decimal be expressed in a fraction as

the answer is 48m^2!

step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!