fence?看不懂.6.A straight fence is to be constructed from posts
fence?看不懂.
6.A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 5 feet long.If a certain fence begins and ends with a post,which of the following could be the length of the fence in feet?(12 inches = 1 foot).
Indicate ALL such answers.
A.17
B.28
C.35
D.39
E.50
Correct Answer:ABDE
Explanation:
The fence will consist of one more post than there are chains.(e.g.P-c-P-c-P).
Therefore,a total length has to be a multiple of the length of the chain plus one post (5.5) plus one post extra.We have length = (5.5n + 0.5),where n can be any positive whole number.If n= 3,length =17; if n= 5,length = 28,etc.but there is no whole number that can give 35.Hence all the answers except C are correct.
6.A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 5 feet long.If a certain fence begins and ends with a post,which of the following could be the length of the fence in feet?(12 inches = 1 foot).
Indicate ALL such answers.
A.17
B.28
C.35
D.39
E.50
Correct Answer:ABDE
Explanation:
The fence will consist of one more post than there are chains.(e.g.P-c-P-c-P).
Therefore,a total length has to be a multiple of the length of the chain plus one post (5.5) plus one post extra.We have length = (5.5n + 0.5),where n can be any positive whole number.If n= 3,length =17; if n= 5,length = 28,etc.but there is no whole number that can give 35.Hence all the answers except C are correct.
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