<em>HOPE</em><em> </em><em>THIS</em><em> </em><em>WILL</em><em> </em><em>HELP</em><em> </em><em>U</em><em>.</em><em>.</em><em> </em><em>:</em><em>)</em>
Answer:
.
Step-by-step explanation:
Start by separating this decimal number into its integer part and its fraction part:

The most challenging task here is to express
as a proper fraction. Once that fraction is found, expressing the original number
will be as simple as rewriting a mixed number as an improper fraction.
Let
.
would then represent the original number.
Note that the repeating digits appear in groups of two. Therefore, if the digits in
are shifted to the left by two places, the repeating part will continue to match:
.
Note, that this "shifting" is as simple as multiplying the initial number by
(same as
raised to the power of the number of digits that needs to be shifted.)
Subtract the original number from the shifted number to eliminate the fraction part completely:
.
In other words:
.
.
Therefore, the original number would be:
.
Answer:
.
Step-by-step explanation:
It is given that Wendy's mother recorded how many donuts she has eaten over the past few months.
Jelly-filled donuts = 6
Maple donuts = 53
Glazed donuts = 11
Powdered sugar donuts = 5
Now,
Total number of donuts = 6 + 53 + 11 + 5 = 75
We need to find the experimental probability that the next donut Wendy eats will be a powdered sugar donut.
Therefore,
.
7x+y=11 where y= -5 So, when we substitute y in the equation then,
7x + (-5) = 11 that is 7x - 5 = 11....
So, B. is the right answer.