Pregunta
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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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