If s is a multiple of 12 and t is a multiple of 12, is 7s+5t a multiple of 12?
True
False
A
True
B
False
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Solution
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Yes If s is a multiple of 12, then so is 7s. If t is a multiple of 12, then so is 5t. Since 7s and 5t are both multiples of 12, then their sum (7s+5t) is also a multiple of 12.
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If s is a multiple of 12 and t is a multiple of 12, is 7s+5t a multiple of 12?