Robot-themed math worksheet with word problems on assembly lines, battery life, speed, pricing, and more.

Let's solve each problem step by step:

---

1. Assembly Line

Problem: A robot assembly line produces 0.75 robots per minute. How many robots will the assembly line produce in 2 hours?

Solution:
- First, convert 2 hours into minutes:
\[
2 \text{ hours} \times 60 \text{ minutes/hour} = 120 \text{ minutes}
\]
- The assembly line produces 0.75 robots per minute. So, in 120 minutes:
\[
0.75 \text{ robots/minute} \times 120 \text{ minutes} = 90 \text{ robots}
\]

Answer:
\[
\boxed{90}
\]

---

2. Inventory

Problem: A warehouse has 500 robots in stock. If 20% of them are defective, how many robots are not defective?

Solution:
- Calculate the number of defective robots:
\[
20\% \text{ of } 500 = 0.20 \times 500 = 100 \text{ defective robots}
\]
- Subtract the defective robots from the total to find the non-defective robots:
\[
500 - 100 = 400 \text{ non-defective robots}
\]

Answer:
\[
\boxed{400}
\]

---

3. Battery Life

Problem: A robot's battery lasts for 3.5 hours on a full charge. If the robot has been operating for 2.75 hours, how much battery life remains?

Solution:
- Subtract the time already used from the total battery life:
\[
3.5 \text{ hours} - 2.75 \text{ hours} = 0.75 \text{ hours}
\]

Answer:
\[
\boxed{0.75}
\]

---

4. Robot Speed

Problem: Robot A can travel at a speed of 2.5 meters per second, while Robot B can travel at a speed of 3.75 meters per second. How much faster is Robot B than Robot A?

Solution:
- Calculate the difference in speed:
\[
3.75 \text{ m/s} - 2.5 \text{ m/s} = 1.25 \text{ m/s}
\]

Answer:
\[
\boxed{1.25}
\]

---

5. Sensors

Problem: A robot has 8 sensors, each weighing 0.4 kilograms. What is the total weight of all the sensors?

Solution:
- Multiply the number of sensors by the weight of each sensor:
\[
8 \times 0.4 \text{ kg} = 3.2 \text{ kg}
\]

Answer:
\[
\boxed{3.2}
\]

---

6. Pricing

Problem: A company sells a robot for $850. If the company offers a discount of 15%, what is the discounted price of the robot?

Solution:
- Calculate the discount amount:
\[
15\% \text{ of } 850 = 0.15 \times 850 = 127.5
\]
- Subtract the discount from the original price:
\[
850 - 127.5 = 722.5
\]

Answer:
\[
\boxed{722.5}
\]

---

7. Durability

Problem: A robot can withstand a force of 7.8 newtons before breaking. If a load of 3.25 newtons is applied, how much more force can the robot handle before breaking?

Solution:
- Subtract the applied force from the maximum force the robot can withstand:
\[
7.8 \text{ N} - 3.25 \text{ N} = 4.55 \text{ N}
\]

Answer:
\[
\boxed{4.55}
\]

---

8. Maintenance

Problem: A robot requires maintenance every 500 operating hours. If a robot has been operating for 3,750 hours, how many maintenance sessions has it undergone?

Solution:
- Divide the total operating hours by the maintenance interval:
\[
\frac{3750}{500} = 7.5
\]
- Since maintenance sessions are whole numbers, the robot has undergone 7 full maintenance sessions (the 0.5 indicates it is halfway to the next session).

Answer:
\[
\boxed{7}
\]

---

9. Precision

Problem: A robot arm can position an object with an accuracy of 0.01 millimeters. If the robot needs to position an object 0.07 millimeters accurately, how many times does it need to adjust?

Solution:
- Determine how many 0.01 mm adjustments are needed to reach 0.07 mm:
\[
\frac{0.07}{0.01} = 7
\]

Answer:
\[
\boxed{7}
\]

---

10. Revenue

Problem: A company sold 15 robots at a price of $3,500 each. If the company’s revenue is subject to a 8.5% sales tax, what is the total amount of tax paid?

Solution:
- Calculate the total revenue from selling the robots:
\[
15 \times 3500 = 52500
\]
- Calculate the sales tax:
\[
8.5\% \text{ of } 52500 = 0.085 \times 52500 = 4462.5
\]

Answer:
\[
\boxed{4462.5}
\]

---

Final Answers:

1. \(\boxed{90}\)
2. \(\boxed{400}\)
3. \(\boxed{0.75}\)
4. \(\boxed{1.25}\)
5. \(\boxed{3.2}\)
6. \(\boxed{722.5}\)
7. \(\boxed{4.55}\)
8. \(\boxed{7}\)
9. \(\boxed{7}\)
10. \(\boxed{4462.5}\)