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2. A recycling plant processes an average of \( \frac{1}{3} \) ton of glass each minute. At approximately what rate does the recycling plant process glass, in tons per day? ( 1 day \( =24 \) hours) A. 20 B. 180 C. 480 D. 4,320

Ask by Goodwin Clark. in the United States
Dec 12,2024

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Answer

The recycling plant processes 480 tons of glass per day.

Solution

To find the rate at which the recycling plant processes glass in tons per day, we can start by calculating the total number of minutes in a day. 1. Calculate the number of minutes in a day: \[ 1 \text{ day} = 24 \text{ hours} \times 60 \text{ minutes/hour} = 1440 \text{ minutes} \] 2. The plant processes \( \frac{1}{3} \) ton of glass each minute. Therefore, in one day, the total amount of glass processed is: \[ \text{Total glass processed in a day} = \left(\frac{1}{3} \text{ ton/minute}\right) \times 1440 \text{ minutes} \] 3. Now, calculate the total: \[ \text{Total glass processed in a day} = \frac{1}{3} \times 1440 = \frac{1440}{3} = 480 \text{ tons} \] Thus, the recycling plant processes approximately **480 tons** of glass per day. The answer is **C. 480**.

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The recycling plant processes glass at a rate of \( \frac{1}{3} \) ton per minute. To find the rate per day, you'll multiply this rate by the total number of minutes in a day. There are \( 24 \) hours in a day and \( 60 \) minutes in an hour, so: \[ \text{Total minutes per day} = 24 \times 60 = 1,440 \text{ minutes} \] Now multiply the rate by the number of minutes: \[ \text{Glass processed in a day} = \frac{1}{3} \text{ ton/min} \times 1,440 \text{ min} = 480 \text{ tons} \] So the plant processes approximately 480 tons of glass in a day. The correct answer is C. 480. Now let's add a bit more to this topic! Recycling plants not only help in reducing waste but also play a pivotal role in conserving natural resources. By processing recyclable materials like glass, they can significantly cut down the need for raw materials and energy needed for production, creating a more sustainable future for everyone. For those interested in the environmental impact, consider diving deeper into the benefits of recycling glass specifically. Did you know recycling glass uses 40% less energy compared to producing new glass from raw materials? This energy efficiency also translates into a reduction in greenhouse gas emissions! So, every bottle and jar recycled counts!

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