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a, X x 9,9 + X : 10 = 12,5
X x 9,9 + X x 0,1 = 12,5
X x (9,9 + 0,1) = 12,5
X x 10 = 12,5
X = 12,5 : 10 = 1,25
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X + X : 2 + X : 4 + X : 8 = 37,725
X : (1 + 2 + 4 + 8) = 37,725
X : 15 = 37,725
X = 37,725 x 15 = 565,875
a; \(x\) \(\times\) 9,9 + \(x\) : 10 = 12,5
\(x\) \(\times\) 9,9 + \(x\) \(\times\) 0,1 = 12,5
\(x\) \(\times\) (9,9 + 0,1) = 12,5
\(x\) \(\times\) 10 = 12,5
\(x\) = 12,5 : 10
\(x\) = 1,25
b; \(x\) + \(x\) : 2 + \(x\) : 4 + \(x\) : 8 = 37,725
\(x\) \(\times\) 1 + \(x\) \(\times\) \(\dfrac{1}{2}\) + \(x\) \(\times\) \(\dfrac{1}{4}\) + \(x\) \(\times\) \(\dfrac{1}{8}\)= 37,725
\(x\) \(\times\)(1 + \(\dfrac{1}{2}\) + \(\dfrac{1}{4}\) + \(\dfrac{1}{8}\)) = 37,725
\(x\) \(\times\) \(\dfrac{15}{8}\) = 37,725
\(x\) = 37,725 : \(\dfrac{15}{8}\)
\(x\) = 20,12
y + y * 1/2 + y * 1/4 + y * 1/8 = 37,725
y * ( 1+1/2+1/4+1/8 ) = 37,725
y * 15/8 = 37,725
y= 37.725 : 15/8
y= 20,12
a) 2 x 2 x 2 x ... x 2 x 2 :2
b) 3 x 3 x 3 x ... x 3 x 3 :3
c) 4 x 4 x 4 x ... x 4 x 4 :4
d) 5 x 5 x 5 x ... x 5 x 5 :5
e) 6 x 6 x 6 x ... x 6 x 6 :6
g) 7 x 7 x 7 x...x 7 x 7 :7
h) 8 x 8 x 8 x... x 8 x 8 :8
i) 9 x 9 x 9 x...x 9 x 9 :9
A = \(\frac{1}{1.2.4}+\frac{1}{2.4.5}+...+\frac{1}{8.10.11}+\frac{1}{10.11.13}\)
3 x A = \(\frac{3}{1.2.4}+\frac{3}{2.4.5}+...+\frac{3}{8.10.11}+\frac{3}{10.11.13}\)
3 x A = \(\frac{1}{1.2}-\frac{1}{2.4}+\frac{1}{2.4}-\frac{1}{4.5}+...+\frac{1}{8.10}-\frac{1}{10.11}+\frac{1}{10.11}-\frac{1}{11.13}\)
3 x A = \(\frac{1}{1.2}-\frac{1}{11.13}=\frac{1}{2}-\frac{1}{143}=\frac{143}{286}-\frac{2}{286}=\frac{141}{286}\)
A = \(\frac{141}{286}:3=\frac{141}{286.3}=\frac{47}{286}\)
a) 3 x X x 2/3 = 4/5
3.x=6/5
x=2/5
b) 3,94 x 18,24 + 18,24 x 3,72 + 18,24 x 2,34
=18,24(3,94+3,72+2,34)
=18,24.10
=182,4
d) 8/19 x 2/7 + 8/19 x 1/7 + 8/19 x 4/7
=8/19(2/7+1/7+4/7)
=8/19.1
=8/19
11 x 10 - 10 x 9 + 9 x 8 - 8 x 7 + 7 x 6 - 6 x 5 + 5 x 4 - 4 x 3 + 3 x 2 - 2 x 1 = 60
x+x*0,5+x*0,25+x*1,25 =37,725
x*[0,5+0,25+1,25+1]=37,725
x* 3 =37,725
x=12,575
x + x : 2 + x : 4 + x : 8 = 37, 725
<=> x + x . 0,5 + x . 0 ,25 + x . 0 ,125 = 37,725
<=> x( 1 + 0, 5 + 0 ,25 + 0 ,125 ) = 37,725
<=> 1,875x = 37 , 725
<=> x = 20,12