(x+15)×4=22,
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1) Ta có: \(\left(\dfrac{3}{4}\cdot\dfrac{5}{97}+\dfrac{1}{9}\cdot\dfrac{13}{47}\right)\cdot\left(\dfrac{1}{5}-\dfrac{7}{25}\cdot\dfrac{5}{7}\right)\)
\(=\left(\dfrac{3}{4}\cdot\dfrac{5}{97}+\dfrac{1}{9}\cdot\dfrac{13}{47}\right)\cdot\left(\dfrac{1}{5}-\dfrac{1}{5}\right)\)
=0
2) Ta có: \(\dfrac{8}{17}\cdot\dfrac{4}{15}+\dfrac{8}{17}\cdot\dfrac{22}{15}-\dfrac{8}{15}\cdot\dfrac{9}{17}\)
\(=\dfrac{8}{17}\left(\dfrac{4}{15}+\dfrac{22}{15}-\dfrac{9}{15}\right)\)
\(=\dfrac{8}{17}\cdot\dfrac{15}{15}=\dfrac{8}{17}\)
3) Ta có: \(\dfrac{2021}{2}\cdot\dfrac{1}{3}+\dfrac{4042}{4}\cdot\dfrac{1}{5}+\dfrac{6063}{3}\cdot\dfrac{22}{15}\)
\(=\dfrac{2021}{2}\left(\dfrac{1}{3}+\dfrac{1}{5}\right)+2021\cdot\dfrac{22}{15}\)
\(=\dfrac{2021}{2}\cdot\dfrac{8}{15}+\dfrac{2021}{2}\cdot\dfrac{44}{15}\)
\(=\dfrac{2021}{2}\cdot\dfrac{52}{15}\)
\(=\dfrac{52546}{15}\)
4) Ta có: \(\dfrac{4}{7}\cdot\dfrac{2}{13}+\dfrac{8}{13}:\dfrac{7}{4}+\dfrac{4}{7}:\dfrac{13}{2}+\dfrac{4}{7}\cdot\dfrac{1}{13}\)
\(=\dfrac{4}{7}\left(\dfrac{2}{13}+\dfrac{8}{13}+\dfrac{2}{13}+\dfrac{1}{13}\right)\)
\(=\dfrac{4}{7}\)
a) 5x + 4 = ( - 3 ) + 17
5x = ( - 3 ) + 17 - 4
5x = 10
x = 2
b) 22 - 2x = 415 : 414
2x = 22 - 415 : 414
2x = 18
x = 9
Hk tốt
(x + 1) + (x + 3) + (x + 5) + ... + (x + 15) = 128
=> x + 1 + x + 3 + x + 5 + ... + x + 15 = 128(bỏ dấu ngoặc)
=> (x + x + ... + x) + (1 + 3 + 5 + ... + 15) = 128 ( chia thành 2 nhóm)
+) Số số hạng là : (15 - 1) : 2 + 1 = 8
Tổng : (1 + 15).8 : 2 = 64
=> 8x + 64 = 128
=> 8x = 64
=> x = 8
Vậy x = 8
(x + 1) + (x + 4) + (x + 7) + ... + (x + 22) = 829
=> x + 1 + x + 4 + x + 7 + ... + x + 22= 829
=> (x + x + ... + x) + (1 + 4 + 7 + ... + 22) = 829
+) Số số hạng là : (22 - 1) : 3 + 1 = 8
Tổng : (1 + 22).8 : 2 = 92
=> 8x + 92 = 829
=> 8x = 737
=> x = 737/8
a) (x + 1) + (x + 3) + (x + 5) + .... + (x + 15) = 128 (8 cặp số)
=> (x + x + ... + x) + (1 + 3 + 5 + ... + 15) = 128
8 hạng tử x 8 số hạng
=> 8x + 8.(15 + 1) : 2 = 128
=> 8x + 64 = 128
=> 8x = 64
=> x = 8
b) (x + 1) + (x + 4) + (x + 7) +... + (x + 22) = 829 (8 cặp số)
=> (x + x + ... + x) + (1 + 4 + 7 +... + 22) = 829
8 hạng tử x 8 số hạng
=> 8x + 8.(22 + 1):2 = 829
=> 8x + 92 = 829
=> 8x = 737
=> x = 91,125
\(a,\frac{x-22}{8}+\frac{x-21}{9}+\frac{x-20}{10}+\frac{x-19}{11}\)
\(a,\frac{x-22}{8}+\frac{x-21}{9}+\frac{x-20}{10}+\frac{x-19}{11}=4\)
\(\Leftrightarrow\frac{x-22}{8}-1+\frac{x-21}{9}-1+\frac{x-20}{10}-1+\frac{x-19}{11}-1=0\)
\(\Leftrightarrow\frac{x-30}{8}+\frac{x-30}{9}+\frac{x-30}{10}+\frac{x-30}{11}=0\)
\(\Leftrightarrow\left(x-30\right)\left(\frac{1}{8}+\frac{1}{9}+\frac{1}{10}+\frac{1}{11}\right)=0\)
\(\Leftrightarrow\left(x-30\right)=0\)
\(\Leftrightarrow x=30\)