Tính:
7. 52 + 5 . 23 - 79
giải hộ mik vs nha! *-*
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(B=\frac{1}{1\cdot2\cdot3}+\frac{1}{2\cdot3\cdot4}+\frac{1}{3\cdot4\cdot5}+\frac{1}{18\cdot19\cdot20}\)
\(B=\frac{1}{2}\left(\frac{2}{1\cdot2\cdot3}+\frac{2}{2\cdot3\cdot4}+\frac{2}{3\cdot4\cdot5}+\frac{2}{18\cdot19\cdot20}\right)\)
\(B=\frac{1}{2}\left(\frac{1}{1\cdot2}-\frac{1}{2\cdot3}+\frac{1}{2\cdot3}-\frac{1}{3\cdot4}+\frac{1}{3\cdot4}-\frac{1}{4\cdot5}+...+\frac{1}{18\cdot19}-\frac{1}{19\cdot20}\right)\)
\(B=\frac{1}{2}\left(\frac{1}{1\cdot2}-\frac{1}{19\cdot20}\right)\)
\(B=\frac{1}{2}\cdot\frac{189}{380}=\frac{189}{760}\)
\(C=\frac{52}{1\cdot6}+\frac{52}{6\cdot11}+\frac{52}{11\cdot16}+...+\frac{52}{31\cdot36}\)
\(C=\frac{52}{5}\left(\frac{5}{1\cdot6}+\frac{5}{6\cdot11}+\frac{5}{11\cdot16}+...+\frac{6}{31\cdot36}\right)\)
\(C=\frac{52}{5}\left(1-\frac{1}{6}+\frac{1}{6}-\frac{1}{11}+\frac{1}{11}-\frac{1}{16}+...+\frac{1}{31}-\frac{1}{36}\right)\)
\(C=\frac{52}{5}\cdot\left(1-\frac{1}{36}\right)\)
\(C=\frac{91}{9}\)
1-3+5-7+...+21-23
=(1-3)+(5-7)+...+(21-23)
Tổng số cặp là:
[(23-1):2+1]:2=6
Nháp: [(23-1):2+1]:2=(22:2+1):2=12:2=6
=1-3=-2=-2*6=-12
Đây nha bạn.
Chúc bạn học tốt!
\(1-3+5-7+...+21-23\)
\(=\left(1+5+9+13+17+21\right)-\left(3+7+11+15+19+23\right)\)
\(=\left[\left(21-1\right):2+1\right].\left(21+1\right):2-\left[\left(23-3\right):2+1\right].\left(23+3\right):2\)
\(=11.11-11.13\)
\(=121-143\)
\(=-22\)
`#3107.101107`
a,
\([(6.x - 39) \div3] .28 =5628\)
`\Rightarrow (6x - 39) \div 3 = 5628 \div 28`
`\Rightarrow (6x - 39) \div 3 = 201`
`\Rightarrow 6x - 39 = 201 . 3`
`\Rightarrow 6x - 39 = 603`
`\Rightarrow 6x = 42`
`\Rightarrow x = 42 \div 6`
`\Rightarrow x = 7`
Vậy, `x = 7`
b,
`5(7x - 45) = 2^3 . 5^2 - 3^2 . 20`
`\Rightarrow 5(7x - 45) = 8.5.5 - 9.4.5`
`\Rightarrow 5(7x - 45) = 5.(8.5 - 9.4)`
`\Rightarrow 5(7x - 45) = 5.(40 - 36)`
`\Rightarrow 7x - 45 = 5.(40 - 36) \div 5`
`\Rightarrow 7x - 45 = 4`
`\Rightarrow 7x = 49`
`\Rightarrow x = 7`
Vậy, `x = 7.`
b) 23.79 + 52.21 + 77.79 + 21.48
= 79(23+77) + 21(52+48)
= 79 .100 + 21 .100
= (79+21) .100 = 100.100 = 10000
\(\frac{2}{3\times5}+\frac{2}{5\times7}+\frac{2}{7\times9}+...+\frac{2}{21\times23}\)
\(=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{21}-\frac{1}{23}\)
\(=\frac{1}{3}-\frac{1}{23}\)
\(=\frac{20}{69}\)
1: \(=-24\left(45-5\right)=-24\cdot40=-960\)
2: \(=-134\left(1-51+48\right)=-134\cdot\left(-2\right)=268\)
3: \(=124\left(1-52+47\right)=124\cdot\left(-3\right)=-372\)
7 . 5^2 + 5 . 2^3 - 79
= 7 . 25 + 5 . 8 - 79
= 175 + 40 - 79
= 215 - 79
= 136
#Học tốt#
7. 52 + 5 . 23 - 79
= 7 . 25 + 5 . 8 - 79
= 175 + 40 - 79
= 215 - 79
= 136
Học Tốt !