On one afternoon in a shoe warehouse, three large shipments of shoes arrived. The weights of the shipments were 1 ton 115 pounds
1 answer:
Alright, lets get started.
The weight of first shipment = 1 ton 115 pounds
As we know, 1 ton = 2000 pounds, so
So, the weight of first shipment = pounds
The weight of second shipment = 1723 pounds 7 ounces
The weight of third shipment = 957 pounds 11 ounces
So, adding all three weights =
So, all three weights = 4795 pounds 18 ounces
As we know, 16 ounces = 1 pound, so
all three weights = 4795 pound 1 pound 2 ounces
All three weights = 4796 pounds 2 ounces
4796 could be wriiten as 4000 + 796
As we know, 2000 pound = 1 ton so
All three weight = 2 tons 796 pounds 2 ounces
So, the total weight of three shipments = 2 tons 796 pounds 2 ounces : Answer
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Now, for z to be an integer, the sum x+y must be a divisor of 10.
It has to be a positive divisor since z≥0. Also x≠y.
x≥0 and y≥0 so y can be equal to either 0 or 1. There are 2 solution in this case.
In this case, y can be equal to 0,1, or 2, but for y=1 ⇒ x=1, so there are two solutions.
y can be 0,1,2,3,4 or 5 - 6 solutions
y can be 0,1,2,3,4,5,6,7,8,9,10, but for y=5 ⇒ x=5, so 10 solutions.
2+2+6+10=20 solutions in total.