OpenAI: GPT OSS 120B

The hardest natural substance known on Earth is **diamond**. Its crystal lattice of carbon atoms, bound together by strong covalent bonds in a tetrahedral arrangement, gives it a Vickers hardness of about 70–100 GPa, making it far harder than any other naturally occurring material. (Synthetic superhard materials such as wurtzite‑BN or lonsdaleite have been reported, but they are not found in nature in appreciable quantities.)

The capital city of Australia is **Canberra**. It’s located in the Australian Capital Territory (ACT), roughly halfway between the two largest cities, Sydney and Melbourne.

250Watts

**Step 1: Determine the total amount Josh spent** - Purchase price of the house: \$80,000 - Money spent on repairs: \$50,000 \[ \text{Total cost} = 80{,}000 + 50{,}000 = \$130{,}000 \] --- **Step 2: Find the house’s new market value** The problem states that the house’s value *increased* by **150 %** after the repairs. - An increase of 150 % means the value goes up by 1.5 × the original price. - The new value is therefore: \[ \text{New value} = \text{Original price} + 1.5 \times \text{Original price} = (1 + 1.5) \times \text{Original price} = 2.5 \times 80{,}000 = \$200{,}000 \] --- **Step 3: Compute the profit** \[ \text{Profit} = \text{Selling price} - \text{Total cost} = 200{,}000 - 130{,}000 = \$70{,}000 \] --- \[ \boxed{\$70,\!000} \]

26

Janet has - Total eggs per day: **16** - Eggs eaten for breakfast: **3** - Eggs used for muffins: **4** Eggs left for sale = 16 − 3 − 4 = **9** eggs. At $2 per egg, daily earnings = 9 × $2 = **$18**.

The capital city of Australia is **Canberra**. It’s located in the Australian Capital Territory (ACT) and serves as the seat of the federal government.

Walk

**Step 1: Compute the total cost** - Number of boxes bought: 12 - Cost per box: \$10 \[ \text{Total cost}=12 \times 10 = \$120 \] **Step 2: Find the total number of pens** - Pens per box: 30 \[ \text{Total pens}=12 \times 30 = 360\ \text{pens} \] **Step 3: Determine how many packs of 6 pens he can make** \[ \text{Number of packs}= \frac{360}{6}=60\ \text{packs} \] **Step 4: Compute the revenue from selling the packs** - Selling price per pack: \$5 \[ \text{Revenue}=60 \times 5 = \$300 \] **Step 5: Calculate profit** \[ \text{Profit}= \text{Revenue} - \text{Cost}=300 - 120 = \boxed{\$180} \]

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