Answer:
x=-
Step-by-step explanation:
subtract -3(2x-1)+8=15
-8 -8
_____________
-3(2x-1)=7
divide
then simplify
2x-1=
add both sides
2x-1+1=
+1
simplify again
2x-1+1=
+1=2x=
divide by 2
2x=
-2 -2
_________
2x÷2=1

x=-
SOLUTION
The question simply means that we should find the sum to infinity of the geometric series.
The formula of sum to infinity of a geometric serie is given by

Where

So, this becomes

Therefore, option b is the correct answer
Answer:
15
Step-by-step explanation:
The total number of teachers in the school is 100.
The number who teach Science is 60
The who teach humanities is 25.
The number that teach both humanities and Science is 15.
We want to find the number who teach Science but not Humanities.
We obtain this by subtracting the number of teachers who teach both subjects from the number that teach Science.

Therefore 25 teaches science but not Humanities
Short Answer: 150
Remark
You have to use two facts.
1. The central angle = 2 * the angle at B
2. The central angle = the arc angle.
Given
angle at B = 75 degrees.
Calculate the central angle
Central angle = 2 * angle at B
Central angle = 2 * 75
Central angle = 150
Conclusion
The arc angle = Central angle
The arc angle = 150 degrees.
Make into improper fraction
5 and 1/6=5+1/6=30/6+1/6=31/6
3 and 2/4=3+2/4=3+1/2=6/2+1/2=7/2
5 and 1/6 times 2 and 2/4=
31/6 times 7/2=
217/12=
216/12+1/12=
18+1/12=
18 and 1/12