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What is the GCF of 75x to the 3rd power y to the second power and 100xy?
GCF(75x3, y2, 100xy) = 1 However, GCF(75x3y2, 100xy) = 25xy
What is the greatest common factor of 75x to the power of 3y to the power of 2 and 100xy?
75x(3y)2 and 100xy both have factors of * * * * * It would appear that the question is looking for the GCF of 75x3, y2 and 100xy. If that is the case, the answer is 1.
What comes next in this sequence 10 30 15 16 48 24 25?
75x3, /2, +1, x3...10 x3=30 /2=15 +1=16 x3=48 /2=24 +1=25 x3=75
A multiplicative inverse of 5 module 7 is?
A multiplicative inverse of 5 mod7 would be a number n ( not a unique one) such that 5n=1Let's look at the possible numbers5x1=5mode 75x2=10=3 mod 75x3=15=1 mod 7 THAT WILL DO IT3 is the multiplicative inverse of 5 mod 7.What about the others? 5x4=20, that is -1 mod 7 or 65x5=25 which is 4 mod 75x6=30 which is -5 or 2 mod 7How did we know it existed? Because 7 is a prime. For every prime number p and positive integer n, there exists a finite field with pn elements. This is an important theorem in abstract algebra. Since it is a field, it must have a multiplicative inverse. So the numbers mod 7 make up a field and hence have a multiplicative inverse.
A 3 maintenance crew could clean a certain building in 4 hours where as 4 person crew could the job in 3 hours if 1 worker of the 4 person crew was an hour late how long did the job take?
Considering that 1 person from the 4 person crew is late by 1 hour, the work is done for 1 hr by a 3 person crew. the 3 person crew completes 100% of the job in 4 hrs, hence, in 1 hr it completes 25 % of the job.Now when 75% of the job is unfinished, the 4th member joins, so now it is a 4 person crew to do 75% of the job. If they can complete 100% job in 3hrs, they would complete the 75% job in 2.25 hrs (75x3/100).Hence total time rquired for completion of the job = 2.25 + 1= 3.25 hrs ie 3 hrs 15 minutes.
