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3^2 . 5 + 7.2 - 2^3.5
=9.5+2.(7-2^2.5)
=45+2.(7-4.5)
=45+2.(7-20)
=45+2.(-13)
=45+(-26)=19
t mk nhé
\(\frac{-5}{7}.\frac{2}{11}+\frac{-5}{7}.\frac{9}{11}+\frac{5}{7}\)
\(=\frac{-5}{7}\left(\frac{2}{11}+\frac{9}{11}\right)+\frac{5}{7}\)
\(=\frac{-5}{7}.1+\frac{5}{7}\)
\(=\frac{-5}{7}+\frac{5}{7}\)
\(=0\)
a, 45+(-5)+7-12-5
=40+7-12-5
=47-12-5
=35-5
=30
b,|x+25|-12=27
=>|x+25|=27+12
=>|x+25|=39
=>\(\orbr{\begin{cases}x+25=-39\\x+25=39\end{cases}}\)=>\(\orbr{\begin{cases}x=-39-25\\x=39-25\end{cases}}\)=>\(\orbr{\begin{cases}x=-64\\x=64\end{cases}}\)
Vậy x thuộc {-64,60}
c,(x+3).(y-5)=15
những số nhân với nhau mà bằng 15 là : 3.5;5.3
TH1: (x+3) =3 khi (y-5) = 5
TH2: (x+3)=5 khi (y-5) =3
vậy trong Th1 thì x sẽ = 0, y sẽ = 10
trong TH2 thì x sẽ =2 , y sẽ =8
\(\frac{5^{11}.7^{12}+5^{11}.7^{11}}{5^{12}.7^{11}+9.5^{11}.7^{11}}\)
\(=\frac{5^{11}.7^{11}.7^1+5^{11}.7^{11}}{5^{11}.5^1.7^{11}+3^2.5^{11}.7^{11}}\)
\(=\frac{5^{11}.\left(7^{11}+7^{11}\right).7^1}{5^{11}.\left(7^{11}+7^{11}\right).5^1.3^2}\)
\(=\frac{7}{5.3^2}\)
\(=\frac{7}{45}\)
ta có: \(\frac{-5}{7}.\frac{2}{11}+\frac{-5}{7}.\frac{9}{11}\)
\(=\frac{-5}{7}.\left(\frac{2}{11}+\frac{9}{11}\right)\)
\(=\frac{-5}{7}\)
\(\Rightarrow\frac{-5}{7}< \frac{5}{7}\)
\(\Rightarrow\frac{-5}{7}.\frac{2}{11}+\frac{-5}{7}.\frac{9}{11}< \frac{5}{7}\)
Học tốt nhé bn !!!
a; (4 - \(\dfrac{12}{5}\)).\(\dfrac{25}{8}\) - \(\dfrac{2}{5}\) : - \(\dfrac{4}{25}\)
= 4.\(\dfrac{25}{8}\) - \(\dfrac{12}{5}\).\(\dfrac{25}{8}\) - \(\dfrac{2}{5}\) x \(\dfrac{-25}{4}\)
= \(\dfrac{25}{2}\) - \(\dfrac{15}{2}\) + \(\dfrac{5}{2}\)
= \(\dfrac{10}{2}\) + \(\dfrac{5}{2}\)
= \(\dfrac{15}{2}\)
b; (- \(\dfrac{5}{24}\) + \(\dfrac{3}{4}\) - \(\dfrac{7}{12}\)) : (- \(\dfrac{5}{16}\))
= (- \(\dfrac{5}{24}\)) : (-\(\dfrac{5}{16}\)) + \(\dfrac{3}{4}\) : (- \(\dfrac{5}{16}\)) - \(\dfrac{7}{12}\) : (- \(\dfrac{5}{16}\))
= \(\dfrac{5}{24}\) x \(\dfrac{16}{5}\) - \(\dfrac{3}{4}\) x \(\dfrac{16}{5}\) + \(\dfrac{7}{12}\) x \(\dfrac{16}{5}\)
= \(\dfrac{2}{3}\) - \(\dfrac{12}{5}\) + \(\dfrac{28}{15}\)
= \(\dfrac{10}{15}\) - \(\dfrac{36}{15}\) + \(\dfrac{28}{15}\)
= \(\dfrac{-26}{15}\) + \(\dfrac{28}{15}\)
= \(\dfrac{2}{15}\)