Answer:
On Wednesday
Step-by-step explanation:
In this question, We have Alana practicing for three days. We now need to know in which of the days has she practiced closest to 2 hours. Hence, what we are to do here is simply find which of the practicing hours is nearest to 2hours.
The best thing to do here is to work with minutes. Hence whatsoever fraction we are having would be worked with based on minutes. Let’s do this!
On Monday, she practiced 11/4 hours. This means she practiced 11/4 * 60 minutes = 165 minutes
On Tuesday, practice was for 19/8 hours. This means she had practiced for 19/8 *60 = 142.5 minutes
Lastly, on Wednesday, her practice time was 2.6 hours and that is 2.6 * 60 = 156 minutes
Kindly note that 2 hours is same as 120 minutes. We just need to know which of these minutes is closest to 120 minutes. From what we have, 142.5 is the closest.
This means that her practice on Wednesday is the closest to two hours.
<u>Compound inequality:</u>
A compound inequality contains two or more inequalities that are separated either by "and" or "or".
And: It indicates that both statements of the compound sentence satisfies at the same time.
Or: This indicates that as long as either statement is true, the entire compound sentence is true.
For example:
1. ![3 x + 2 < 14 \text{ and }2 x-5 >-11](https://tex.z-dn.net/?f=3%20x%20%2B%202%20%3C%2014%20%5Ctext%7B%20and%20%7D2%20x-5%20%3E-11)
Here, and denotes that intersection or the overlap will be the desired result.
2. ![2 x + 7](https://tex.z-dn.net/?f=2%20x%20%2B%207%20%3C-11%20%5Ctext%7B%20or%20%7D-3%20x-2%20%3C%2013)
Since the joining conjunction is or we can come to a point that the entire compound sentence is true.
AND CASES:
A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x > -1 and x < 1 or as -1 < x < 1.
OR CASES:
A number is a solution to the compound inequality if the number is a solution to at least one of the inequalities. It is written as x < -1 or x > 1.
Answer:
the whole sequence is
5, 1 1/2, -2, -5 1/2, -9
the missing elements were
1 1/2, -2, -5 1/2
Step-by-step explanation:
an arithmetic sequence means that there is always constant added or subtracted from the previous term to create the next term.
we know, we need to go 4 steps or terms to get from 5 to -9.
5 + c = ?
5 + c + c = ??
5 + c + c + c = ???
5 + c + c + c + c = -9
5 + 4c = -9
4c = - 14
c = -14/4 = -7/2
so, we get
? = 5 + -7/2 = 10/2 - 7/2 = 3/2 = 1 1/2
?? = 3/2 - 7/2 = -4/2 = -2
??? = -4/2 - 7/2 = -11/2 = -5 1/2
and the next step is -11/2 - 7/2 = -18/2 = -9
correct.
If it isn’t 80 then it will be 40
Answer:
All the angles on the bottom line are 60. The angles on the top line from left to right is 130, 60, 60, 130.
Step-by-step explanation: