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:
36 mph
Step-by-step explanation:
The appropriate relations are ...
time = distance/speed
speed = distance/time
Suppose the race has a total length of 360 miles. Then half the race is 180 miles.
The cyclist's time on the first half is (180 mi)/(30 mi/h) = 6 h.
The cyclist's time on the second half is (180 mi)/(45 mi/h) = 4 h.
The total time is 10 h for the total distance of 360 mi, so the average speed is ...
(360 mi)/(10 h) = 36 mi/h
_____
The length of the race doesn't matter. The above numbers make the math convenient. The average is computed from ...
1/((1/2)/30 + (1/2)/45) = 2/(1/30 +1/45) = 2·30·45/(30+45) = 36
This is the <em>harmonic mean</em> of the numbers 30 and 45.
C. You take the tip amount devided by 15%. Thats 0.15. You the get the answer 97.20
When multiplying numbers, it doesn't matter which number is first or second.
The correct answer is: Commutative Property of Multiplication
Answer:b.activity-based costing.
Step-by-step explanation: Activity-based costing is a costing system that first talkies or identifies the activities that are involved in the Manufacturing or in a particular process and them assigns cost to such activities. This type of costing gives high premium or focus on the activities as it assigns cost to products based on the activities that led to the production of the products.
THIS TYPE OF COSTING IS ALSO KNOWN AS ABC APPROACH TO COSTING IT FIRST ASSIGN RESOURCES TO ACTIVITIES AND FROM ACTIVITIES TO PRODUCTS BASED ON THE CONSUMPTION ESTIMATES.
