Answer:
Remainder = 8
Step-by-step explanation:
1. b mod 12 = 7
Add 12 to 7
b = 7 + 12 = 19
b = 19
So, 19/12 = 1 remainder 7
The remainder when 8b mod 12 = 8b/12
= (8*19)/12 = 152/12
= 12 remainder 8
Testing with a different value of b
2. b mod 12 = 7
Add 24 (12*2) to 7
b = 7 + 24 = 31
b = 31
So, 31 mod 12 i.e., 31/12 = 2 remainder 7
The remainder when 8b mod 12 = 8b/12
= (8*31)/12 = 248/12
= 12 remainder 8 again
So, no matter the starting value of b that was obtained, 8b mod 12 will always have a remainder of 8.
Answer:
1 = 75
2 = 56
3 = 124
4 = 41
Step-by-step explanation:
Step-by-step explanation:
X = 5
7 / 17
Each cupcake is $2.50. Divide the amount by 12
40c=520
This is the proper equation because there are 40 quarters in $10. Thus, if we could only fit $10 worth of quarters in each wrapper, we can only fit 40quarters in each wrapper. C represents the amount of wrappers we will need.
Hope this helps!