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Home » Lightskin Dogs Are Taking Over Instagrams – What’s Their Secret? - Network4

Lightskin Dogs Are Taking Over Instagrams – What’s Their Secret? - Network4

📅 May 19, 2026 👤 scraface

May 19, 2026

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📌 Solution: First, find 3-digit numbers divisible by 7: The smallest is 105 ($ 7 \times 15 $), the largest is 994 ($ 7 \times 142 $). Total numbers: $ 142 - 14 = 128 $.

📌 Next, find numbers divisible by both 7 and 5 (i.e., 35): Smallest 3-digit is 105 ($ 35 \times 3 $), largest 980 ($ 35 \times 28 $). Total: $ 28 - 2 = 26 $.

📌 Subtract: $ 128 - 26 = 102 $. The answer is $ \boxed{102} $.

📌 Question: The ratio of bluefin tuna to mackerel in a marine reserve is $ 5:4 $. If there are 20 bluefin tuna, how many mackerel are present?

📌 Solution: Let the number of mackerel be $ m $. The ratio $ 5:4 = 20:m $ implies $ \frac{5}{4} = \frac{20}{m} $. Cross-multiplying: $ 5m = 80 $ → $ m = 16 $. There are $ \boxed{16} $ mackerel.

📌 Question: Solve for $ y $ in the equation $ \frac{3y - 1}{4} = \frac{y + 7}{2} $.

📌 Solution: Cross-multiply: $ 2(3y - 1) = 4(y + 7) $. Expand: $ 6y - 2 = 4y + 28 $. Subtract $ 4y $: $ 2y - 2 = 28 $. Add 2: $ 2y = 30 $. Divide by 2: $ y = 15 $. Final answer: $ \boxed{15} $.

📌 Question: What is the arithmetic mean of the numbers 14, 19, and 23?

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Solution: The divisors of 120 are $ 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 2...
rac{x^2 + y^2}{xy} + rac{xy}{x^2 + y^2}
subject to $ x, y > 0 $.
Solution: Let $ A = rac{x^2 + y^2}{xy} $ and $ B = rac{xy}{x^2 + y^2...
A + B = rac{x^2 + y^2}{xy} + rac{xy}{x^2 + y^2}.
Let $ t = rac{x^2 + y^2}{xy} $. By the AM-GM inequality,
x^2 + y^2 \geq 2xy \Rightarrow rac{x^2 + y^2}{xy} \geq 2,
so $ t \geq 2 $. The expression becomes $ t + rac{1}{t} $. Define $ f...
f(2) = 2 + rac{1}{2} = rac{5}{2}.
Equality holds when $ x = y $, which satisfies $ x, y > 0 $. Thus, the...

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