Answer:
66
Step-by-step explanation:
If there are <em>n</em> students, then the number of pairs is
.
With 12 students,
pairs can be formed.
The reason the formula works is this: Each of the 12 students can be paired with 11 other students (no student is paired with him/her self). But counting 12 x 11 = 132 counts each pair <u>twice</u>. Example: student A can be paired with student B,..., student B can be paired with student A. The pair was counted two times.
See the attached image that shows pairings of 5 students. There are
5(5 - 1)/2 = 5(4)/2 = 10 pairs.
Answer:
m=7/2
Step-by-step explanation:
7x-2y=14
2y=7x-14
y=7/2x-14/2
y=7/2x-7
y=mx+b where m=slope and b=y-intercept,
the slope is 7/2
CAD= BAD
AD=AD( the same side of two angles).
There are 37 balloons total and there are 7 orange balloons. Therefore, the probability is 7/37.
<span>4ab + 4a − 3b − 3
=4a(b + 1) - 3(b+1)
= (b+1)(4a - 3)
(b+1) and (4a - 3) are factors
answer
</span><span>4a − 3</span>