Answer:
<u>37/8</u>
Step-by-step explanation:
we are going to create 5 1/2 into an improper fraction for now, so it is easier to manipulate.
5 1/2 = 11/10
in order to find the answer, we need to set them both to a common denominator(we need to make sure they have the same denominator so it is easier to subtract)
11/2 if we just take 1 of the cups that Abby made and subtract that by 7/8 that give us the answer
11/2 - 1 = 9/2
we will now us the cup we subtracted from that and "give it to the kids"
1 = 8/8
so
8/8 - 7/8 = 1/8
so we have 1/8 leftover from that cup, so we can add that back
since 1/8 is a hard number to just add off the top of your head, we can just change the denominator of 9/2 into 8 instead of 2:
9/2 = 36/8
so
1/8 + 36/8 = 37/8
so since 37/8 cannot be simplified anymore, the answer is
<u>37/8</u>
Answer:
Option A.
Step-by-step explanation:
According to triangle inequality theorem, a triangle exists if the sum of two sides is greater that third side.
Apply this theorem on each combination.
Case I: 
...(1)
Case II: 
...(2)
Case III: 
...(3)
On combining (1), (2) and (3), we get
Therefore, the correct option is A.
Answer: y = 
x + 1
Step-by-step explanation:
First, we will find the slope. The slope of perpendicular lines are negative reciprocals.
In this case, the first slope is 2. The negative of 2 is -2, and the reciprocal of -2 is .
Now, we will plug in this new slope, the point given, and solve for the <em>b</em>, or the y-intercept.
y = <em>m</em>x + <em>b</em>
(-1) = ()(4) + <em>b</em>
-1 = -2 + <em>b</em>
1 = <em>b</em>
Lastly, we will write our equation.
y = <em>m</em>x + <em>b</em>
y = x + 1
The line is y = x + 1, or y = 1 - 
.
A. Mr. Kent interviewed the 54 students as they are going to leave the school, it is not considered to be a random sample. It is because a random sample is when a set is taken from a population. Mr. Kent interviewed the 54 who are going to leave, meaning, he didn't take a set out of that 54, he took all of them. So it is not a random sample.
b. The question that Mr. Kent asked is considered to be a leading question, so it does not seem biased.
c. If there are 54 respondents.
51 = yes, the rest is no.
= 54 - 51 = 3
= 3 is now divided to 54 = 3/54
= giving an answer of 0.0555
= 0.0555 x 100
= 5.6%
= The percent of responses that says 'no' is 5.6%
$2.00 cause imagine she has 6 dollar 2/3 is 4.00 so it's 2.00
