Answer:
7 topics will be discussed by the 6 person groups.
Step-by-step explanation:
Let F represents the number of topics discussed by 4 persons group and S represents the number of topics discussed by 6 persons group.
There are total 94 persons
4F + 6S = 94
4F = 94 - 6S
F = (94 - 6S)/4 eq. 1
The discussion has been divided into 20 subtopics
F + S = 20 eq. 2
Substitute eq. 1 into eq. 2
(94 - 6S)/4 + S = 20
(94 - 6S)/4 = 20 - S
94 - 6S = 4(20 - S)
94 - 6S = 80 - 4S
- 6S + 4S = 80 - 94
-2S = - 14
S = 14/2
S = 7
Therefore, 7 topics will be discussed by the 6 person groups.
Bonus:
The number of topics discussed by the 4 person groups can be found by substituting the value of S into eq. 1
F = (94 - 6S)/4
F = (94 - 6*7)/4
F = (94 - 42)/4
F = 52/4
F = 13
Verification:
The sum of F and S should be equal to 20 as per eq. 2
F + S = 20
13 + 7 = 20
20 = 20
Hence, solution is verified.
Answer:
Step-by-step explanation:
52+x=90
x=38
Answer:
3n(n + 4) = 0
n = 0, -4
Step-by-step explanation:
3n(n + 4) = 0
3n = 0
n = 0
n + 4 = 0
n = -4
Answer:
SSS
Step-by-step explanation:
The two triangles both share a side (the middle line), and it is shown that the other lines are congruent to each other. So all 3 sides are congruent, meaning SSS is the postulate that proves this.
Answer:
1 and 3 are both perpendicular to segment NY
Step-by-step explanation:
1. Find the slope of line NY
slope of NY = 5-(-7)/-11-5 = - 3/4
Any line that is perpendicular to NY should have a slope of the inverse of negative slope of NY.
2.Find the slope of perpendicular lines
the inverse of negative slope of NY = - (-4/3) = 4/3