The number of passengers that :
- Needs Transfer only = 13 passengers
- Are going to work only = 17 passengers
Let :
Passengers that needs transfer = T = 35
Passengers going to work, W = 39
Passengers who do not need transfers and aren't going to work = 12
Using a venn diagram :
Let the Passengers who do not need transfers and are going to work and needs transfer = x
Passengers who need transfer only = 35 - x
Passengers who are going to work only = 39 - x
To find x :
35 - x + 39 - x + x + 12 = 64
86 - x = 64
-x = 64 - 86
-x = - 22
x = 22
the number of passengers that need transfers but aren’t going to work will be = 35 - 22 = 13 passengers
the number of passengers that are going to work but do not need transfers will be : 39 - 22 = 17 passengers
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Answer:
1. Option C is correct
2. Option A is correct
3. Option C is correct
4. Option B is correct
5. Option D is correct
Step-by-step explanation:
1. x^2-3x-18/x+3
Factorize the numerator
x^2-6x+3x-18/x+3
x(x-6)+3(x-6)/x+3
(x+3)(x-6)/x+3
x-6
x-6 where x≠6
Option C is correct.
2. x-2/x^2+4x-12
Factorizing the denominator
x-2/x^2+6x-2x-12
x-2/x(x+6)-2(x+6)
x-2/(x-2)(x+6)
1/x+6
1/x+6 where x≠-6
Option A is correct.
3. 5x^3/7 x^3+x^4
5x^3/7x^3+x^4
5x^3/x^3(7+x)
5/7+x
Option C is correct
5/7+x where x≠-7
4. Simplify x/6x-x^2
x/6x-x^2
x/x(6-x)
1/6-x
Option B is correct
1/6-x where x≠6
5. 2/3a * 2/a^2
Multiplying both terms
4/3a^3
Option D is correct.
4/3a^3 where a≠0
Answer:
60 minutes is 20% of 300 minutes
Step-by-step explanation:
let x be the number of total minutes
60 = 20% of x
20% = 1/5
60 = 1/5x
multiply both sides by 5
300 = x
x = 300 minutes
