Answer:

Step-by-step explanation:
We require 2 equations with the repeating decimal after the decimal point in both equations.
The bar above 136 indicates that 136 is being repeated
let x = 0.136136...... → (1) Multiply both sides by 1000
1000x = 136.136.... → (2)
Subtract (1) from (2) to eliminate the decimal part
999x = 136 ( divide both sides by 999 )
x = 
Answer:
9
Step-by-step explanation:
X=Tickets bought
A=$40+$8x
B=$67+$5x
After 1 ticket bought it would be:
A=$48
B=$72
After 9 tickets bought:
A=$112
B=$112
From this you can see that Plan B is better for ones who would see 9+ movies as the recurring price would be lower. If you would only go to watch a couple movies, Plan A would be better.
Answer:
Step-by-step explanation:
I'll assume that you meant
(8/13) ln 3 = ln h/12
Applying rules of logs, we get:
(8/13) ln 3 = ln h - ln 12
= ln h - ln 3 - ln 4 <= because ln b*c = ln b + ln c
Then (8/13) ln 3 + ln 3 = ln h - ln 4, or
(21/13) ln 3 + ln 4 = ln h
3^(21/13) * 4 = h <= because ln b*c = ln b + ln c
Answer:
19
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is
difference of 2 sides < x < sum of 2 sides , that is
18 - 2 < x < 18 + 2
16 < x < 20
Then the largest possible length of the third side is 19