(x+1) + (x+3) +(x+5)+...+(x+15) =128
(x+1) + (x+4) +(x+7)+...+(x+22) = 829
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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)1440:40 =36
b)205 x 13 =2665
c)2057
d)36 x 25 x 4 =3600
18 x 24 :9 =48
41 x 2 x 8 x 5 =3280
215 x 86 + 215 x 14 =21500
53 x 128 - 43 x 128 =1408
2/3 x 4/7 =8/21
2 x 3 x 4 / 2 x 3 x 4 x 5 =24/120
1 x 2 x 3 x 4 / 5 x 6 x 7 x 8=24/1680
x : 7/11 = 22
x =22 x 7/11
x =14
2/7 * x =2/3
x = 2/7 :2/3
x = 20/21
a, (\(\dfrac{9}{10}\) - \(\dfrac{15}{16}\)) \(\times\) ( \(\dfrac{5}{12}\) - \(\dfrac{11}{15}\) - \(\dfrac{7}{20}\))
= (\(\dfrac{72}{80}\) - \(\dfrac{75}{80}\)) \(\times\) (\(\)\(\dfrac{25}{60}\) - \(\dfrac{44}{60}\) - \(\dfrac{21}{60}\))
= - \(\dfrac{3}{80}\) \(\times\) (- \(\dfrac{2}{3}\))
= \(\dfrac{1}{40}\)
b, (-1)3 + (- \(\dfrac{2}{3}\))2 : 2\(\dfrac{2}{3}\) + \(\dfrac{5}{6}\)
= -13 + \(\dfrac{4}{9}\) : \(\dfrac{8}{3}\) + \(\dfrac{5}{6}\)
= -1 + \(\dfrac{4}{9}\) \(\times\) \(\dfrac{3}{8}\) + \(\dfrac{5}{6}\)
= -1 + \(\dfrac{1}{6}\) + \(\dfrac{5}{6}\)
= -1 + 1
= 0
a: \(A=\dfrac{-7}{28}\cdot\dfrac{15}{25}=\dfrac{-1}{4}\cdot\dfrac{3}{5}=\dfrac{-3}{20}\)
b: \(B=\dfrac{-5\cdot7}{14\cdot\left(-3\right)}=\dfrac{35}{42}=\dfrac{5}{6}\)
c: \(C=\dfrac{-1}{5}-\dfrac{1}{5}\cdot\dfrac{3}{5}=\dfrac{-1}{5}-\dfrac{3}{25}=\dfrac{-8}{25}\)
d: \(D=\dfrac{-3}{4}-\dfrac{1}{4}=-1\)
e: \(E=\dfrac{-4}{5}\left(1-\dfrac{15}{16}\right)=\dfrac{-4}{5}\cdot\dfrac{1}{16}=\dfrac{-1}{20}\)
f: \(F=\dfrac{6-7}{4}\cdot\dfrac{4+12}{22}=\dfrac{-1}{4}\cdot\dfrac{8}{11}=\dfrac{-2}{11}\)
Bài 2:
Sau 2 giờ con ốc sên bò được:
1/5+1/6=11/30(cây cột)
Sau 2 giờ thì con ốc sên còn phải bò:
1-11/30=19/30(cây cột)
a, x-7= -5
x = (-5)+7
x = 2
Vậy x = 2
b, 128-3.(x+4)=23
3.(x+4)=128-23
3.(x+4)= 105
x+4 = 105 : 3
x+4 = 35
x = 35-4
x = 31
Vậy x =31
c, [(6x-39) :7].4=12
[(6x-39):7] = 12:4
[(6x-39):7] = 3
6x-39 = 3.7
6x - 39 = 21
6x = 21+39
6x = 60
x = 60:6
x = 10
Vậy x = 10
d, (x:3-4).5=15
x:3-4 = 15 : 5
x:3-4 = 3
x: 3 = 7
x = 21
Vậy x= 21
1) x - 2 = -6
x = -6 + 2
x = -4
2) -5 . x - ( -3 ) =13
-5 . x = 13 + ( -3 )
-5 . x = 10
x = 10 : ( -5 )
x = -2
a, (10/3:x).(-5/4)=-10/3
10/3:x=-10/3:(-5/4)
10/3:x=8/3
x=10/3:8/3
x=5/4
b,(-6/5+x):(-18/5)=-1/4
-6/5+x=-1/4.(-18/5)
-6/5+x=9/10
x=9/10-(-6/5)=9/10+6/5
x=21/10
c,-22/15.x+1/3=-2/5
-22/15.x=-2/5-1/3=-11/15
x=-11/15:(-22/15)
x=11/21
d,(0,25-30%x).1/3=-31/6+1/4=-59/12
1/4-3/10x=-59/12:1/3=-59/4
3/10x=1/4-(-59/4)=1/4+59/4=15
x=15:3/10
x=50
e,(0,5x-3/7):1/2=8/7
1/2x=8/7.1/2=4/7
x=4/7:1/2
x=8/7
(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