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Isabella spends a winter day recording the temperature once every three hours for science class. At 
9am, the temperature was 
-12.6^(@)F. Between 
9am and noon, the temperature increased by 
7.7^(@)F. Between noon and 
3pm, the temperature rose 
19.8^(@)F. Between 
3pm and 
6pm, the temperature decreased by 
18.4^(@)F. What was the temperature at 
6pm ?
Answer: 
^(@)F

Isabella spends a winter day recording the temperature once every three hours for science class. At 9am 9 \mathrm{am} , the temperature was 12.6F -12.6^{\circ} \mathrm{F} . Between 9am 9 \mathrm{am} and noon, the temperature increased by 7.7F 7.7^{\circ} \mathrm{F} . Between noon and 3pm 3 \mathrm{pm} , the temperature rose 19.8F 19.8^{\circ} \mathrm{F} . Between 3pm 3 \mathrm{pm} and 6pm 6 \mathrm{pm} , the temperature decreased by 18.4F 18.4^{\circ} \mathrm{F} . What was the temperature at 6pm 6 \mathrm{pm} ?\newlineAnswer: \square F^{\circ} \mathrm{F}

Full solution

Q. Isabella spends a winter day recording the temperature once every three hours for science class. At 9am 9 \mathrm{am} , the temperature was 12.6F -12.6^{\circ} \mathrm{F} . Between 9am 9 \mathrm{am} and noon, the temperature increased by 7.7F 7.7^{\circ} \mathrm{F} . Between noon and 3pm 3 \mathrm{pm} , the temperature rose 19.8F 19.8^{\circ} \mathrm{F} . Between 3pm 3 \mathrm{pm} and 6pm 6 \mathrm{pm} , the temperature decreased by 18.4F 18.4^{\circ} \mathrm{F} . What was the temperature at 6pm 6 \mathrm{pm} ?\newlineAnswer: \square F^{\circ} \mathrm{F}
  1. Initial Temperature Calculation: Isabella recorded the initial temperature at 99am as 12.6F-12.6\,^\circ\mathrm{F}. Between 99am and noon, the temperature increased by 7.7F7.7\,^\circ\mathrm{F}. To find the temperature at noon, we add the increase to the initial temperature.\newline12.6F+7.7F=4.9F-12.6\,^\circ\mathrm{F} + 7.7\,^\circ\mathrm{F} = -4.9\,^\circ\mathrm{F}
  2. Temperature at Noon Calculation: Now, we have the temperature at noon, which is 4.9°F-4.9\degree F. Between noon and 33pm, the temperature rose by 19.8°F19.8\degree F. To find the temperature at 33pm, we add this increase to the temperature at noon.\newline4.9°F+19.8°F=14.9°F-4.9\degree F + 19.8\degree F = 14.9\degree F
  3. Temperature at 33pm Calculation: Next, we have the temperature at 33pm, which is 14.9F14.9\,^\circ\mathrm{F}. Between 33pm and 66pm, the temperature decreased by 18.4F18.4\,^\circ\mathrm{F}. To find the temperature at 66pm, we subtract this decrease from the temperature at 33pm.\newline14.9F18.4F=3.5F14.9\,^\circ\mathrm{F} - 18.4\,^\circ\mathrm{F} = -3.5\,^\circ\mathrm{F}

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