Answer:
The north campus had 
while the south campus had 
.
Step-by-step explanation:
The question stated that there are 
students in the merged campus. That's the sum of the number of students in the north and the south campus before the merger.
Let 
denote the number of students in the north campus before the merger. The other 
students would all belong to the south campus before the merger.
Before the merger, 
of the students of the north campus are of music majors. In terms of , that's 
students.
On the other hand, 
of the students of the south campus are of music majors. That corresponds to 
students.
With a similar logic, the number of music students in the merged east campus will be 
.
The question implies that the sum of students in the two campuses should be equal to the number of music students in the east campus. That is:
.
Solve for :
.
In other words, there are students in the north campus and 
students in the south campus before the merger.
M < 7 / 12
(1) < 7 / 12
(1) < 0.583333333 (false statement)
(-1) < 7 / 12
(-1) < 0.583333333 (true statement)
(-9) < 7 / 12
(-9) < 0.583333333 (true statement)
(-5) < 7 / 12
(-5) < 0.583333333 (true statement)
B C D maybe?
Answer:
b = 30 / a
which agrees with the third expression in the list of possible options
Step-by-step explanation:
When we say that a and b vary inversely, that means that in mathematical form:
b = k / a where "k" is the so called "constant of proportionality". In order to write the function that models this inverse variation, we need to find the value of "k". We do such by using the information they provide (b = 5/2 when a = 12):
5/2 = k / 12
Then, solving for "k":
5 * 12 / 2 = k
60 / 2 = k
k = 30
Then we can now write the function that models this inverse variation:
b = k / a
b = 30 / a
Answer:
15.7 - 2a
Step-by-step explanation:
Perimeter = 15.7 inches
2a + b = 15.7
b = 15.7 - 2a
