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Anit [1.1K]
3 years ago
13

6 + 2x = 24

Mathematics
1 answer:
Nutka1998 [239]3 years ago
6 0
<span>6 + 2x = 24
2x = 18
x = 9
answer
9
----------
</span><span>3x – 5 ≥ 7
3x </span>≥ 12
x ≥ 4
answer
<span>{4, 5, 6}
</span>
--------------
<span>4x – 3 ≥ 5
</span><span>4x  ≥ 8
</span><span>x  ≥ 2
answer
</span><span>{2, 3, 4}
</span>
-----------------

<span>3r ≤ 4r – 6
 r </span> ≥ 6
answer
<span>{6, 7, 8, 9,10}</span>
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Answer:

Step-by-step explanation:

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Continue to split the group that has the fake coin into 3 groups, each group has 1 coin. Now apply the same procedure and we can identify the fake coin.

Total of scale usage is 2

b) if you have 3^n coins then you can apply the same approach and find the fake coin with just n steps. By splitting up to 3 groups each step, after each step you should be able to narrow down your suspected coin by 3 times.

Step 1: you narrow down to group of \frac{3^n}{3} = 3^{n-1} coins

Step 2: you narrow down to group of \frac{3^{n-1}}{3} = 3^{n-2} coins

Step 3: you narrow down to group of \frac{3^{n-2}}{3} = 3^{n-3} coins

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Step n: Step 1: you narrow down to group of 3^{n-n} = 3^0 = 1coin

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