Răspuns :
Explicație pas cu pas:
c) X×4:10+101=133
X×4:10=133-101
X×4:10=32
X×4=32×10
X×4=320
X=320:4=80
6.
a)
[tex](x + 20) \div 12 + 68 = 78[/tex]
[tex] \frac{x + 20}{12} + 68 = 78[/tex]
[tex]x + 20 + 816 = 936[/tex]
[tex]x + 836 = 936[/tex]
[tex]x = 936 - 836[/tex]
[tex]x = 100[/tex]
b)
[tex](x + 282 - 75) \div 2 = 104[/tex]
[tex](x + 207) \div 2 = 104[/tex]
[tex] \frac{x + 207}{2} = 104[/tex]
[tex]x +207 = 208[/tex]
[tex]x = 208 - 207[/tex]
[tex]x = 1[/tex]
f)
[tex]104 \div ((x - 3 \times 8) \times 2 \div 8) = 13[/tex]
[tex]104 \div ((x - 24) \times 2 \div 8) = 13[/tex]
[tex]104 \div \frac{(x - 24) \times 2}{8} = 13 [/tex]
[tex]104 \div \frac{x - 24}{4} = 13[/tex]
[tex]104 \div \frac{4}{x - 24} = 13[/tex]
[tex] \frac{416}{x - 24} = 13[/tex]
[tex]416 = 13(x - 24)[/tex]
[tex]32 = x - 24[/tex]
[tex] - x = - 24 - 32[/tex]
[tex] - x = - 56[/tex]
[tex]x = 56[/tex]
c)
[tex]x \times 4 \div 10 + 101 = 133[/tex]
[tex] \frac{4}{10}x + 101 = 133[/tex]
[tex] \frac{2}{5} x + 101 = 133[/tex]
[tex]2x + 505 = 665[/tex]
[tex]2x = 665 - 505[/tex]
[tex]2x = 160[/tex]
[tex]x = 80[/tex]
e)
[tex]104 \div ((x - 3 \times 8) \times 2 \div 8) = 13[/tex]
[tex]104 \div ((x - 24) \times 2 \div 8) = 13[/tex]
[tex]104 \div \frac{(x + 24) \times 2}{8} = 13 [/tex]
[tex]104 \div \frac{x - 24}{4} = 13 [/tex]
[tex]104 \div \frac{4}{x - 24} = 13 [/tex]
[tex] \frac{416}{x - 24} = 13 [/tex]
[tex]416 = 13(x - 24)[/tex]
[tex]32 = x - 24[/tex]
[tex] - x = - 24 - 32[/tex]
[tex] - x = - 56[/tex]
[tex]x = 56[/tex]