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.
A: is 14
B: is 10-14=-4
C:-27+-15=-42
-42+100=58.
Answer is C.
<span>A carpenter charges a flat fee of $150 plus $45 per hour.
Total = 150 + 45h
Hope it helps</span>
So the equation for the volume of the sphere is
.
For this, you'll need to plug in 128 pi into the volume placeholder and solve for r.
Firstly, divide by pi on each side of the equation to cancel out pi. Your equation will look like this:
Next, you'll want to multiply 3/4 on each side to cancel out 4/3. Your equation will look like this:
Lastly, you'll want to 3rd root each side of the equation, and your answer should be
.
The correct option is B. 4.58
Answer: no solution
Step-by-step explanation: after simplifying they are parallel which means they have no solutions