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Mackenzie spends a winter day recording the temperature once every three hours for science class. At 
9am, the temperature was 
-2^(@)F. Between 
9am and noon, the temperature rose 
11.7^(@)F. Between noon and 
3pm, the temperature went up 
13^(@)F. Between 
3pm and 
6pm, the temperature dropped 
8.7^(@)F. What was the temperature at 
6pm ?
Answer: 
^(@)F

Mackenzie spends a winter day recording the temperature once every three hours for science class. At 9am 9 \mathrm{am} , the temperature was 2F -2^{\circ} \mathrm{F} . Between 9am 9 \mathrm{am} and noon, the temperature rose 11.7F 11.7^{\circ} \mathrm{F} . Between noon and 3pm 3 \mathrm{pm} , the temperature went up 13F 13^{\circ} \mathrm{F} . Between 3pm 3 \mathrm{pm} and 6pm 6 \mathrm{pm} , the temperature dropped 8.7F 8.7^{\circ} \mathrm{F} . What was the temperature at 6pm 6 \mathrm{pm} ?\newlineAnswer: \square F^{\circ} \mathrm{F}

Full solution

Q. Mackenzie spends a winter day recording the temperature once every three hours for science class. At 9am 9 \mathrm{am} , the temperature was 2F -2^{\circ} \mathrm{F} . Between 9am 9 \mathrm{am} and noon, the temperature rose 11.7F 11.7^{\circ} \mathrm{F} . Between noon and 3pm 3 \mathrm{pm} , the temperature went up 13F 13^{\circ} \mathrm{F} . Between 3pm 3 \mathrm{pm} and 6pm 6 \mathrm{pm} , the temperature dropped 8.7F 8.7^{\circ} \mathrm{F} . What was the temperature at 6pm 6 \mathrm{pm} ?\newlineAnswer: \square F^{\circ} \mathrm{F}
  1. Initial Temperature Determination: Determine the initial temperature at 9am9\text{am}. The initial temperature at 9am9\text{am} is given as 2°F-2\degree\text{F}.
  2. Noon Temperature Calculation: Calculate the temperature at noon after the first increase.\newlineThe temperature rose by 11.7°F11.7\degree\text{F} between 99am and noon. So, we add this increase to the initial temperature.\newlineTemperature at noon = Initial temperature + Increase from 99am to noon\newlineTemperature at noon = 2°F+11.7°F-2\degree\text{F} + 11.7\degree\text{F}\newlineTemperature at noon = 9.7°F9.7\degree\text{F}
  3. 33pm Temperature Calculation: Calculate the temperature at 33pm after the second increase.\newlineThe temperature went up by 13°F13\degree F between noon and 33pm. So, we add this increase to the temperature at noon.\newlineTemperature at 33pm = Temperature at noon + Increase from noon to 33pm\newlineTemperature at 33pm = 9.7°F+13°F9.7\degree F + 13\degree F\newlineTemperature at 33pm = 22.7°F22.7\degree F
  4. 66pm Temperature Calculation: Calculate the temperature at 66pm after the decrease.\newlineThe temperature dropped by 8.7°F8.7\degree F between 33pm and 66pm. So, we subtract this decrease from the temperature at 33pm.\newlineTemperature at 66pm = Temperature at 33pm - Decrease from 33pm to 66pm\newlineTemperature at 66pm = 22.7°F8.7°F22.7\degree F - 8.7\degree F\newlineTemperature at 66pm = 14°F14\degree F

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