Answer:
Step-by-step explanation:
Recall that we say that d | a if there exists an integer k for which a = dk. So, let d = gcd(a,b) and let x, y be integers. Let t = ax+by.
We know that so there exists integers k,m such that a = kd and b = md. Then,
. Recall that since k, x, m, y are integers, then (kx+my) is also an integer. This proves that d | t.
Answer:
Mike can stitch one shirt in 6 hours and in 1 hour he can stitch (0.167) shirts.
Step-by-step explanation:
Mike can stitch 7 shirts in 42 hours
to calculate the time that he takes to make 1 shirt, we have to divide 42 by 7.
He can stitch 1 shirt in = = 6 hours
Now we calculate the work done in one hour.
He can stitch in 1 hour = shirts or 0.167 shirts
Mike can stitch one shirt in 6 hours and in 1 hour he can stitch shirts.