Answer:
No solution
Step-by-step explanation:
Given:
and 
Handle each inequality separately.
Utilizing the subtraction property of inequalities




and
Utilizing the addition property of inequalities



Thus, the solution to the combined inequality is the overlap of both solutions.
Refer to the attached image for the number line representation.
No solution
To work with the repeating decimals, note that since there are two digits repeating, you will be using a 1 followed by two zeros, which is 100. This factor will be important for subsequent calculations.
Let’s denote the repeating decimal as x.
Thus, you can write
x = 0.212121...
Now, if you multiply this equation by 100, you can write it on top of the previous equation.
This results in:
100x = 21.212121...
x = 0.212121...
Next, set up a subtraction by taking the second equation from the first:
100x = 21.212121...
x = 0.212121...
- ----------------------------
99x = 21
Solving for x involves dividing both sides by 3:
33x = 7
Then, divide both sides by 33:
x = 7/33
Thus, we conclude that the repeating decimal 0.212121... equates to the fraction 7/33.
Answer: the fraction is 7/33
As of 12:04 EST in the U.S.
$1=<span>112.624847 Yen
Thus:
100USD(112.624847Y/1USD)=11262.62 Yen</span>
Answer:

Step-by-step explanation:
To solve for v, reverse the operations performed on it, starting with the equation provided. Here, v is affected by:
- being multiplied by t
- subtracting gt^2 from the result
To start, we first need to add gt^2 back to the equation to counteract the subtraction:
h + gt^2 = vt
Next, we undo the multiplication by dividing the entire expression by the coefficient of v:
(h + gt^2)/t = v
Answer:
1) Determine the likelihood that a selected book is a nonfiction hard cover. P(N ∩ H) = 4/20
2) Calculate the probability of picking a hard-covered book. P(H) = 11/20
3) Compute the conditional probability. = 4/11
---------------------------------------------------------------------------------------------
1.) 4/20
2.) 11/20
3.) 4/11