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Vedmedyk [2.9K]
2 years ago
12

A friend provides 100 pieces of supporting evidence for a mathematical statement. What is the minimum number of counterexamples

needed to prove the statement false?
100
it's impossible
1
101​
Mathematics
1 answer:
seraphim [82]2 years ago
7 0

Answer:

1 true good statement can prove his friend wrong.

Step-by-step explanation:

Answer is 1.

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The Lopez family and the Russell family each used their sprinklers last summer. The water output rate for the Lopez family's spr
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L = hours used by the Lopez's sprinkler

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likewise, the Russell's sprinkler, after R hours it has used 40R, since it uses 40 Liters per hour.

we know that both sprinklers combined went on and on for 45 hours, therefore whatever L and R are, L + R = 45.

we also know that the output on those 45 hours was 1050 Liters, therefore, we know that 15L + 40R = 1050.

\bf \begin{cases}
L+R=45\implies \boxed{L}=45-R\\
15L+40R=1050\\
----------\\
15\left(\boxed{45-R}  \right)+40R=1050
\end{cases}
\\\\\\
675-15R+40R=1050\implies 25R=375\implies R=\cfrac{375}{25}\\\\\\ R=15

how long was the Lopez's on for?  well, L = 45 - R.
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Answer:

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