Answer:
Only x=-2 is an extraneous solution is the answer
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
First, factor the original expression:
As we can see, D is the same as above. Eliminate D.
Go through each of the answer choices.
A:
This is equivalent to what we factored. Eliminate A.
B:
This is again equivalent to what we factored. Eliminate B.
C:
This cannot be simplified and it is not equivalent to what we have previously. C is not the equivalent expression.
Answer: 12 students
Step-by-step explanation:
Let X and Y stand for the number of students in each respective class.
We know:
X/Y = 2/5, and
Y = X+24
We want to find the number of students, x, that when transferred from Y to X, will make the classes equal in size. We can express this as:
(Y-x)/(X+x) = 1
---
We can rearrange X/Y = 2/5 to:
X = 2Y/5
The use this value of X in the second equation:
Y = X+24
Y =2Y/5+24
5Y = 2Y + 120
3Y = 120
Y = 40
Since Y = X+24
40 = X + 24
X = 16
--
Now we want x, the number of students transferring from Class Y to Class X, to be a value such that X = Y:
(Y-x)=(X+x)
(40-x)=(16+x)
24 = 2x
x = 12
12 students must transfer to the more difficult, very early morning, class.
Answer:
Of what?
Step-by-step explanation:
Aliaa got a mark of 60 in her first 4 tests, so her total mark is 60 x 4 = 240. On her fifth test, she got a mark of 80.
So her average is:
(240+80)/5 = 320/5 = 64
Her avg is 64 (c).
