Pregunta
7) 33 miles out of 36 miles \( \begin{array}{l}\text { Express each phrase as a rate and unit rate. } \\ \text { (Round your answer to the nearest hundredth.) } \\ \text { 7) } 5 \text { inches of snow in } 4 \text { hours } \\ \text { 10) } 8 \text { pencils for } 9 \text { dollars } 18 \text { dimes } \\ \text { 11) } 6 \text { calculators cost } \$ 160.00 \\ \text { 12) } 9 \text { chocolate bars cost } 22 \text { dollars } \\ \text { 13) } 140 \text { miles on } 4 \text { gallons of gas } \\ \text { 14) } 5 \text { dollars for } 4 \text { cans of tuna } \\ \text { 15) } 12 \text { batteries cost } 29 \text { dollars } \\ \text { 16) } 16 \text { dollars for } 4 \text { books }\end{array} \) C_
Ask by Tran Mitchell. in the United States
Jan 23,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
Here are the rates and unit rates for each phrase:
1. **7) 5 inches of snow in 4 hours**
- Rate: 5 inches per 4 hours
- Unit Rate: 1.25 inches per hour
2. **10) 8 pencils for 9 dollars**
- Rate: 8 pencils per 9 dollars
- Unit Rate: \$1.13 per pencil
3. **10) 18 dimes**
- Rate: 18 dimes per ?
- Unit Rate: \$1.80 per dime
4. **11) 6 calculators cost \$160.00**
- Rate: 6 calculators per \$160.00
- Unit Rate: \$26.67 per calculator
5. **12) 9 chocolate bars cost 22 dollars**
- Rate: 9 chocolate bars per 22 dollars
- Unit Rate: \$2.44 per chocolate bar
6. **13) 140 miles on 4 gallons of gas**
- Rate: 140 miles per 4 gallons
- Unit Rate: 35.00 miles per gallon
7. **14) 5 dollars for 4 cans of tuna**
- Rate: 5 dollars per 4 cans of tuna
- Unit Rate: \$1.25 per can
8. **15) 12 batteries cost 29 dollars**
- Rate: 12 batteries per 29 dollars
- Unit Rate: \$2.42 per battery
9. **16) 16 dollars for 4 books**
- Rate: 16 dollars per 4 books
- Unit Rate: \$4.00 per book
Solución
Sure, let's express each phrase as a rate and a unit rate, rounding to the nearest hundredth.
---
**7) 5 inches of snow in 4 hours**
- **Rate:** 5 inches per 4 hours
- **Unit Rate:** \( \frac{5 \text{ inches}}{4 \text{ hours}} = 1.25 \text{ inches per hour} \)
---
**10) 8 pencils for 9 dollars**
- **Rate:** 8 pencils per 9 dollars
- **Unit Rate:** \( \frac{9 \text{ dollars}}{8 \text{ pencils}} = 1.13 \text{ dollars per pencil} \)
**10) 18 dimes**
*(Assuming "18 dimes" refers to a separate context, such as a total amount of money)*
- **Rate:** 18 dimes per ?
*(Since there's no additional context, we'll interpret it as the total amount in dollars.)*
- **Unit Rate:** \( 18 \text{ dimes} \times \frac{1 \text{ dollar}}{10 \text{ dimes}} = 1.80 \text{ dollars} \)
---
**11) 6 calculators cost \$160.00**
- **Rate:** 6 calculators per \$160.00
- **Unit Rate:** \( \frac{160.00 \text{ dollars}}{6 \text{ calculators}} = 26.67 \text{ dollars per calculator} \)
---
**12) 9 chocolate bars cost 22 dollars**
- **Rate:** 9 chocolate bars per 22 dollars
- **Unit Rate:** \( \frac{22 \text{ dollars}}{9 \text{ chocolate bars}} = 2.44 \text{ dollars per chocolate bar} \)
---
**13) 140 miles on 4 gallons of gas**
- **Rate:** 140 miles per 4 gallons
- **Unit Rate:** \( \frac{140 \text{ miles}}{4 \text{ gallons}} = 35.00 \text{ miles per gallon} \)
---
**14) 5 dollars for 4 cans of tuna**
- **Rate:** 5 dollars per 4 cans of tuna
- **Unit Rate:** \( \frac{5 \text{ dollars}}{4 \text{ cans}} = 1.25 \text{ dollars per can} \)
---
**15) 12 batteries cost 29 dollars**
- **Rate:** 12 batteries per 29 dollars
- **Unit Rate:** \( \frac{29 \text{ dollars}}{12 \text{ batteries}} = 2.42 \text{ dollars per battery} \)
---
**16) 16 dollars for 4 books**
- **Rate:** 16 dollars per 4 books
- **Unit Rate:** \( \frac{16 \text{ dollars}}{4 \text{ books}} = 4.00 \text{ dollars per book} \)
---
Feel free to ask if you need further explanations or assistance!
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Mind Expander
For "5 inches of snow in 4 hours," the rate is 5 inches per 4 hours, and the unit rate is 1.25 inches per hour after rounding. This means if you’re shoveling, expect to clear 1.25 inches every hour! When you look at "8 pencils for 9 dollars," you have a rate of 8 pencils per 9 dollars. Your unit rate comes out to about $1.12 per pencil, so next time you’re buying school supplies, you'll know exactly how much each pencil costs!
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