If Shelly is 3 years older than Michael and There 67. Michael is 64 and Shelly is 67. Or Michael is 67 and Shelly is 70.
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When applying indirect proofs, we assume the negation of the conclusion is true, and show that this assumption would lead to nonsense, or contradiction.
In our case we assume a is not smaller than 7, that is we assume a≥7.
a≥7 then, multiplying both sides by 3:
3a≥21, then, adding both sides 7:
3a+7≥28,
which is a contradiction because 3a+7 is smaller than 28.
So our assumption is wrong, which means the opposite of it is correct.
Answer: assume a≥7
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Answer:
Step-by-step explanation:
chickens + goats = 13
so...
c + g = 13, so...
g = (13 - c)
2 legs times the number of chickens (2c) + 4 legs times the number of goats (4g) = 48 total legs. So...
2c + 4(13-c) = 48, so
2c + 52 - 4c = 48, so
-2c = -4, so
2c = 4, so
c = 2.
There are 2 chickens, and therefore 11 goats.
9/10 is the answer. 7/8 is 70/80 and 9/10 is 72/80