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Home » h(y) = 2y + \frac12y - RoadRUNNER Motorcycle Touring & Travel Magazine

h(y) = 2y + \frac12y - RoadRUNNER Motorcycle Touring & Travel Magazine

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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📌 Try: \( \frac{32 + x}{60} = \frac{66}{100} = \frac{33}{50} \Rightarrow 32 + x = \frac{33}{50} \times 60 = 39.6 \)

📌 But 39.6 is not integer — so likely the 66% is exact, hence total successes = \( 0.66 \times 60 = 39.6 \) — impossible.

📌 Wait — perhaps use fraction:

📌 \( 66\% = \frac{33}{50} \), but 50 does not divide 60.

📌 Instead, solve:

📌 Still invalid. But in real context, rates are rounded. However, for olympiad, assume exact:

📌 Perhaps 66% is a rounded value, but the problem states improves to 66%, so assume exact.

📌 Alternatively, reframe: The new success rate is exactly 66%, so:

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$9 \cdot 11 \cdot 13 \cdot 15 = 19305$
Now compute GCD of these values:
$\gcd(105, 945) = 105$
$\gcd(105, 3465) = 105$ (since $3465 \div 105 = 33$)
$\gcd(105, 9009)$: $9009 \div 105 = 85.8$, $105 \cdot 85 = 8925$, rema...
$\gcd(105, 84) = 21$
Now $\gcd(21, 19305)$: $19305 \div 21 = 919.285...$, $21 \cdot 919 = 1...
$\gcd(21, 6) = 3$
So GCD so far is $3$ — but we must check if $3$ is always a divisor.
But earlier logic: in any four consecutive odd integers, one is divisi...

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