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Bài 3:
Gọi số học sinh là x
Theo đề, ta có: \(x-5\in BC\left(8;12;15\right)\)
mà 300<=x<=400
nên x=365
a)\(-1,6:\left(1+\dfrac{2}{3}\right)=-1,6:\dfrac{5}{3}=-\dfrac{8}{5}.\dfrac{3}{5}=\dfrac{-24}{25}\)
b)\(\left(\dfrac{-2}{3}\right)+\dfrac{3}{4}-\left(-\dfrac{1}{6}\right)+\left(\dfrac{-2}{5}\right)=-\dfrac{2}{3}+\dfrac{3}{4}+\dfrac{1}{6}-\dfrac{2}{5}=\dfrac{-40+45+10-24}{60}=\dfrac{-9}{60}=\dfrac{-3}{20}\)
c)\(\left(\dfrac{-3}{7}:\dfrac{2}{11}+\dfrac{-4}{7}:\dfrac{2}{11}\right).\dfrac{7}{33}=\left(\dfrac{-3}{7}.\dfrac{11}{2}+\dfrac{-4}{7}.\dfrac{11}{2}\right).\dfrac{7}{33}=\left[\dfrac{11}{2}\left(\dfrac{-3}{7}+\dfrac{-4}{7}\right)\right].\dfrac{7}{33}=\dfrac{-11}{2}.\dfrac{7}{33}=\dfrac{-7}{6}\)
d)\(\dfrac{-5}{8}+\dfrac{4}{9}:\left(\dfrac{-2}{3}\right)-\dfrac{7}{20}.\left(\dfrac{-5}{14}\right)=\dfrac{-5}{8}-\dfrac{4}{9}.\dfrac{3}{2}+\dfrac{1}{8}=\dfrac{-5}{8}+\dfrac{1}{8}-\dfrac{2}{3}=-\dfrac{7}{6}\)
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Christmas is a magical and enchanting time of year. It is a joyous and festive occasion filled with love, happiness, and excitement. The air is filled with a warm and cozy atmosphere, as families come together to celebrate. The beautifully decorated Christmas tree sparkles with twinkling lights and shimmering ornaments. Delicious and indulgent feasts are prepared, filling the air with mouth-watering aromas. Generosity and kindness abound as people exchange thoughtful and heartfelt gifts. The joyful laughter of children fills the air, accompanied by the melodic sounds of Christmas carols. The winter scenery is breathtaking, with glistening snowflakes and frosty landscapes. The spirit of Christmas is truly magical, bringing warmth, joy, and togetherness to all.
câu 16( tương tự câu 15 và 20)
tóm tắt:
\(m_1=m_2=2\left(kg\right)\\ t_1=10^0C\\ t_2=100^0C\\ t=?\)
theo phương trình cân bằng nhiệt:
\(Q_1=Q_2\Leftrightarrow m_1\cdot c_{ }\cdot\Delta t_1=m_2\cdot c\cdot\Delta t_2\\ \Leftrightarrow m_1\left(t-t_1\right)=m_2\cdot\left(t_2-t\right)\\ \Leftrightarrow t-t_1=t_2-t\\\Leftrightarrow t-10=100-t\\ \Leftrightarrow t+t=100+10\\ \Leftrightarrow2t=\Leftrightarrow110\\\Leftrightarrow t=\dfrac{110}{2}=55^0C\)
Vậy nhiệt độ cân bằng là 55 độ C
Mình giúp bạn vài câu tự luận nhé :) vì mình cũng sắp thi HK :V
Câu 9 :
Ta nói nhiệt dung riêng của nước là 4200J/kg.K có nghĩa là muốn làm cho 1kg nước nóng lên thêm 1 độ C cần truyền cho nước một nhiệt lượng 4200 J.
Câu 10 :
Nhiệt lượng cần cung cấp cho quả cầu đồng nóng lên từ 10 độ C lên 50 độ C là :
\(Q=m\cdot c\cdot\left(t_2-t_1\right)=0,2\cdot380\cdot\left(50-10\right)=3040\left(J\right)\)
Vậy để cho quả cầu đồng nóng lên từ 10 độ C lên 50 độ C thì cần cung cấp một nhiệt lượng là 3040 J.