Qwen 3 32B

The hardest natural substance on Earth is **diamond**. - Diamonds rank a **10 on the Mohs scale of mineral hardness**, which is the highest possible score on that scale. - They are composed of **carbon atoms arranged in a crystalline structure**, which gives them their extraordinary hardness. - Diamond's hardness makes it ideal for industrial uses such as cutting, grinding, and drilling — in addition to its use in jewelry. It's worth noting that: - **Synthetic materials**, such as **ultra-hard fullerite** or **hexagonal boron nitride**, can be harder than diamond under certain conditions, but these are **not naturally occurring**. - Another naturally occurring substance, **Moissanite**, is **very hard** (about 9.25–9.5 on the Mohs scale) and is often mistaken for diamond, but it is not harder than diamond. So, **diamond remains the hardest naturally occurring substance** on Earth.

The capital of Australia is **Canberra**.

The upcoming plug-in solar regulations in the UK will involve **4000Watts**.

Let's break the problem down step by step to find out **how much profit Josh made**. --- ### **Step 1: Total Cost Price** Josh's total investment includes: - **Purchase price of the house:** $80,000 - **Repairs cost:** $50,000 $$ \text{Total cost} = 80,000 + 50,000 = 130,000 $$ --- ### **Step 2: Original Value Increase** The repairs increased the value of the house by **150%**, which is: $$ 150\% \text{ of } 80,000 = 1.5 \times 80,000 = 120,000 $$ So the **new value** is the original value plus the increase: $$ 80,000 + 120,000 = 200,000 $$ --- ### **Step 3: Profit** Profit = Final Selling Value - Total Cost $$ \text{Profit} = 200,000 - 130,000 = 70,000 $$ --- ### ✅ **Final Answer:** $$ \boxed{70,000} $$ Josh made a **$70,000 profit**.

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Let's break this down step by step: ### Step 1: Total eggs laid per day Janet's ducks lay **16 eggs per day**. --- ### Step 2: Eggs used for personal use and baking - She **eats 3 eggs** for breakfast. - She uses **4 eggs** for baking muffins. So, total eggs used per day: $$ 3 + 4 = 7 \text{ eggs} $$ --- ### Step 3: Eggs remaining to sell $$ 16 - 7 = 9 \text{ eggs} $$ --- ### Step 4: Earnings from selling eggs She sells the remaining **9 eggs** at **$2 per egg**, so: $$ 9 \times 2 = 18 \text{ dollars} $$ --- ### ✅ Final Answer: $$ \boxed{18 \text{ dollars per day}} $$

The capital of Australia is **Canberra**. It was purposefully built in the 1920s as a compromise between the two largest cities, Sydney and Melbourne, which both wanted to be the capital. Canberra is located in the Australian Capital Territory (ACT).

Walk.

Let's break this problem down step by step. --- ### **Step 1: Total Cost** Sam bought: - 12 boxes - Each box costs **$10** $$ \text{Total cost} = 12 \times 10 = 120 \text{ dollars} $$ --- ### **Step 2: Total Number of Highlighters** Each box has 30 highlighter pens, so: $$ \text{Total highlighters} = 12 \times 30 = 360 \text{ pens} $$ --- ### **Step 3: Number of Packs Sam Made** Sam grouped the highlighters into packs of 6 pens each: $$ \text{Number of packs} = \frac{360}{6} = 60 \text{ packs} $$ --- ### **Step 4: Total Revenue from Selling** Each pack is sold for **$5**, so: $$ \text{Total revenue} = 60 \times 5 = 300 \text{ dollars} $$ --- ### **Step 5: Calculate Profit** $$ \text{Profit} = \text{Total revenue} - \text{Total cost} $$ $$ \text{Profit} = 300 - 120 = \boxed{180} \text{ dollars} $$ --- ✅ **Final Answer: Sam made a profit of \$180.**

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