(f + g)(x) = f(x) + g(x) therefore (f + g)(4) = f(4) + g(4)
1. 45
write the consecutive numbers as x, x+1 and x+2 as its a sum 3x+3=138 so 3x+135 and x=45
2.$4
27-3=24, 6 candy bars for $24 dollars so $4 each
3. 6 hours
59-11 initial fee is $48 at a rate of $8 per hour, 48/8 is 6hours
4.52
29 is half of what he had once getting 6 new cards
so 58-6 52 giving the original number
5.27
using the same method as 1
6.21
odd numbers must be written as 2n+1,2n+3,2n+5
the sum 6n+9 =69
n=10
2n+1=21
7. 12
12-6 =6
6x2=12
8.$6
12-9=3
this is half the allowance so the is 3x2=6
9.57
291-6=285 is the number in all 5 buses total
285/5=57 students per bus
10.19
184-13= 171 dollars spent on all nine books
171/9=19 per book
12: -2
13: 1/2
I hope that helps.
4. 55 + 0.65*55 = $90.75
5. 90.75 * 0.25*90.75 = $113.44
6. 113.44 - 0.33*113.44 = $76.00
SO IN 8 BOTTLES THERE IS 1 GRAM