2075:5=[x*75:5]+40
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\(\left(\frac{1}{3}+\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}\right).y=\frac{2}{3}\)
\(\frac{1}{2}.\left(1-\frac{1}{3}\right)+\frac{1}{2}.\left(\frac{1}{3}-\frac{1}{5}\right)+\frac{1}{2}.\left(\frac{1}{5}-\frac{1}{7}\right)+\frac{1}{2}.\left(\frac{1}{7}-\frac{1}{9}\right)+\frac{1}{2}.\left(\frac{1}{9}-\frac{1}{11}\right).y=\frac{2}{3}\)
\(\frac{1}{2}.\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}\right).y=\frac{2}{3}\)
\(\frac{1}{2}.\left(1-\frac{1}{11}\right).y=\frac{2}{3}\)
\(\left(1-\frac{1}{11}\right).y=\frac{4}{3}\)
\(\frac{10}{11}.y=\frac{4}{3}\)
\(\Rightarrow y=\frac{22}{15}\)
2075:5 = x x 75/ 5 +40
415 = x x 75/ 5 +40
x x 75/5= 415-40
x x75/5 =375
x x75= 375x5
x x75 = 1875
x= 1875:75
x=25
vậy x=25
x x 75 / 5 + 40 = x x 15 + 40 = 2075 : 5 = 415 => x x 15 = 415 - 40 = 375 => x = 375 : 15 = 25
a) \(2075:5=\frac{x\times75}{5+40}\)
\(415=\frac{x\times75}{45}\)
\(\Rightarrow x\times75=415\times45\)
\(x\times75=18675\)
\(x=18675:75\)
\(x=249\)
b) \(x+x:5\times7,5+x:2\times9=315\)
\(x+x\times\frac{1}{5}\times7,5+x\times\frac{1}{2}\times9=315\)
\(x\times\left(1+\frac{1}{5}\times7,5+\frac{1}{2}\times9\right)=315\)
\(x\times7=315\)
\(x=315:7\)
\(x=45\)
Lưu ý mình dùng * thay cho dấu nhân và / thay cho dấu chia.
a) 2075/5 = \(\frac{x\cdot75}{5+40}\)
\(\frac{x\cdot75}{5+40}\) = \(\frac{x\cdot75}{45}\) = 415
(x * 75) / 45 = 415
x * 75 = 415 * 45 = 18675
x = 18675 / 75
x = 249
b) x + x / 5 * 7,5 + x / 2 * 9 = 315
x + x * \(\frac{7,5}{5}\)+ x * \(\frac{9}{2}\)= 315
x * 1 + x * \(\frac{7,5}{5}\)+ x * \(\frac{9}{2}\)= 315
x * (1 + \(\frac{7,5}{5}\)+ \(\frac{9}{2}\)) = 315
x * 7 = 315
x = 315 / 7
x = 45
Chúc bạn học tốt !
Giải:
\(358.2^3-\dfrac{5^{20}.3^{20}}{15^{18}}+3^2.2075^0\)
\(=358.2^3-\dfrac{5^{20}.3^{20}}{5^{18}.3^{18}}+3^2.1\)
\(=358.2^3-5^2.3^2+3^2\)
\(=358.2^3-3^2\left(5^2+1\right)\)
\(=358.2^3-3^2.26\)
\(=2\left(358.2^2-3^2.13\right)\)
\(=2.1315=2630\)
Vậy ...
(Mình nghĩ có sai sót gì đó, bạn xem lại đề)
2075:5=(x*75:5)+40
415=(x*15)+40
x*15=415-40
x*15=375
x=375:15
x=25