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Hi! to solve the question, how many necklaces did anne make in 16 hours if she makes 10 items in 2 standard 8-hour work days, we should first check the time she needs to make each item.
3 individual hours to make a necklace, and 1 hour to make a ring. according to the problem, she made 10 items in 16 hours. this problem will most likely be trial and error. let’s try one first guess.
my first guess will be, maybe she will make 6 rings and 4 necklaces. 6 times 1 is 6, which takes 6 hours for the rings. 4 times 3 is equal to 12. 6 + 12 is too high! let’s try again.
what about 6 rings and 2 necklaces? 6 times 1 is 6, so that’s 6 hours. 2 times 3 is 6 hours! 6 plus 6 is 12, which is close, but not quite there!
let’s try 7 rings and 3 necklaces! 7 times 1 is 7 hours. 3 times 3 is equal to 9 hours! total that together, 7 plus 9, is equal to 16 hours spent!
so, the answer would be, “Anne made 7 rings and 3 necklaces within 16 hours.” hope this helped!:)
<span>Answer:
Let x = degree measure of the angle
So, the complement of the angle has degree measure 90-x
4/11 = x/(90-x)
4(90-x) = 11x
360 - 4x = 11x
15x = 360
x = 24°
Supplement = 180 - x = 156°
x/(180-x) = 24/156 = 2/13</span>
