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a) \(C=75,284\cdot15,137\cdot\left(9,5-4,75\cdot2\right)+231\left(7,25+2,75\right)\)
\(C=75,284\cdot15,137\cdot\left(9,5-9,5\right)+231\cdot10\)
\(C=75,284\cdot15,137\cdot0+2310=2310\)
b) \(D=\left(1000\cdot0,1-900\cdot0,1-90\cdot0,1\right)\left(142\cdot0,5-240\cdot0,25\right)\)
\(D=\left[0,1\left(1000-900-90\right)\right]\left(142\cdot0,5-240\cdot0,5\cdot\frac{1}{2}\right)\)
\(D=\left(0,1\cdot10\right)\left(142\cdot0,5-140\cdot0,5\right)\)
\(D=0,5\left(142-140\right)\)
\(D=\frac{1}{2}\cdot2=1\)
c) \(E=3,54+73+0,23\cdot25+3,54\cdot27+0,17\cdot25\)
\(E=3,54\left(1+27\right)+73+25\left(0,23+0,17\right)\)
\(E=3,54\cdot28+73+25\cdot0,4\)
\(E=99,12+73+10\)
\(E=99,12+1+72+10\)
\(E=100,12+72+10=182,12\)
a) 42,75 x (25 + 74 + 1)
= 42,75 x 100 = 4275
b) X x 4,9 = 159,25
X = 32,5
a, 42,75 x 25 + 42,75 x 74 + 42,75
= 42,75 x ( 25 + 74 + 1 )
= 42,75 x 100
= 4275
b, X x 4,9 = 1592,5 x 0,1
X x 4,9 = 159,25
X = 159,25 : 4,9
X = 32,5
b1:
a,\(\frac{3}{8}:\frac{5}{4}\)=\(\frac{3}{8}.\frac{4}{5}=\frac{12}{45}=\frac{4}{15}\)
b,\(\frac{4}{7}:\frac{2}{13}=\frac{4}{7}.\frac{13}{2}=\frac{26}{7}\)
b2:
a,25:0,1=250 25x10=250 42:0,01=4200 42x100=4200 72:0,1=720 83:0,01=8300
b,13:0,25=52 13x4=52 42:0,5=84 42x2=84 75:0,5=150 125:0,25=500
=9(74+25+1)
=9*100
=900
\(=0,5.9.74.2+9.25+9.10.0,1\\ =9.\left(0,5\times74\times2+25+1\right)\\ =9\times\left(74+25+1\right)\\ =9\times100\\ =900\)