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Home » $ d_3 = d_4 $: 1 - High Altitude Science

$ d_3 = d_4 $: 1 - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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Let the original price be x.
x + 0.25x = $75.
1.25x = $75.
x = $75 / 1.25 = $60.
A circle has a circumference of 31.4 cm. What is its diameter? (Use \(...
Circumference = \(\pi \times\) diameter.
31.4 = 3.14 * diameter.
Diameter = 31.4 / 3.14 = 10 cm.
The product of two consecutive even numbers is 168. What are the numbe...
Let the first even number be x. The next is x + 2.

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Thus, \(2023 = 7 \times 17^2\).
The divisors of 2023 are \(1, 7, 17, 49, 119, 289, 2023\). The largest...
We check: if \(d = 289\), then \(x + y = \frac{2023}{289} = 7\). We ne...
Thus, the largest possible value of \(\gcd(a, b)\) is \(\boxed{289}\).
A game-based learning researcher, exploring geometric puzzles, asks: H...
A lattice point \((x, y)\) satisfies both \(x, y \in \mathbb{Z}\) and...
Let \(d\) be a positive divisor of 100. Then \(x = d\) and \(y = \frac...
First, factor 100:
\(100 = 2^2 \times 5^2\), so the number of positive divisors is \((2+1...
The positive divisors are: \(1, 2, 4, 5, 10, 20, 25, 50, 100\).

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