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1,3 + 0,4 : 1,5 = 13/10 + 4/15 = 39/30 + 8/30 = 47/30 = 1 i 17/30
b)
√2¼ *∛3⅜ = √9/4 *∛27/8 = 1,5 * 1,5 = 1,25
c)
3¹⁰ * 9¹⁰ = 27¹⁰/27⁵ = 27⁵
d)
(2½)⁻³ * (²⁷/₈)⅓ (2½)⁻² = 0,064 *1,5*0,16 = 0,1536
e)
2(x - 3) = 4(2x - 6)
2x - 6 = 8x - 24
8x - 2x = 24 - 6
6x = 18 /:6
x = 3
f)
(x - 2)(x + 5) = (x - 4)(x + 1)
x² + 5x - 2x - 10 = x² + x - 4x - 4
3x - 10 = - 3x - 4
6x = 6 /:6
x = 1
g)
x - 1 = (x + 5)/38 /*38
38x - 38 = x + 5
37x = 43 /:37
x = 43/37
x = 1 i 6/37
h)
cenę 1250 podnieś 2x o 15%
I podwyżka
1250 + 0,15 * 1250 = 1250 +187,5 = 1437,5
II podwyżka
1437,5 + 0,15 * 1437,5 = 1437,5 + 215,625 = 1653,125