Question

afla valoarea termenului necunoscut :a) 1×2×3×a=24

Answer 1

Răspuns:

Explicație pas cu pas:

$\bf a)~~1 \cdot 2 \cdot 3 \cdot a = 24$

$\bf 6 \cdot a = 24$

$\bf a = 24 : 6$

$\red{\bf \underline{a = 4}}$

$\it~~$

$\bf b)~~b \cdot 2 \cdot 5 = 40$

$\bf b \cdot 10 = 40$

$\bf b = 40 : 10$

$\green{\underline{\bf b = 8}}$

$\it~~$

$\bf c)~~ c : 2 : 3 = 5$

$\bf c : 2 = 3 \cdot 5$

$\bf c : 2 = 15$

$\bf c = 15 \cdot 2$

$\blue{\underline{\bf c = 30}}$

$\it~~$

$\bf d)~~ 27 : 3 : 3 \cdot d = 6 \cdot 4$

$\bf 27 : 3 : 3 \cdot d = 24$

$\bf 9 : 3 \cdot d = 24$

$\bf 3 \cdot d = 24$

$\bf d = 24 : 3$

$\purple{\underline{\bf d = 8 }}$

$\it~~$

$\bf e)~~e : 8 + 2000 = 2003$

$\bf e : 8 = 2003 - 2000$

$\bf e : 8 = 3$

$\bf e = 3 \cdot 8$

$\pink{\underline{\bf e = 24}}$

$\it~~$

$\bf f)~~(6 \cdot 6 - 27) \cdot f = 81$

$\bf (36 - 27) \cdot f = 81$

$\bf 9 \cdot f = 81$

$\bf f = 81 : 9$

$\red{\underline{\bf f = 9}}$

$\it~~$

$\bf g)~~(394 - 123 - g) : 2 = 108$

$\bf(394 - 123 - g) = 108 \cdot 2$

$\bf271 - g = 108 \cdot 2$

$\bf271 - g = 216$

$\bf g = 271 - 216$

$\green{\underline{\bf g = 55}}$

$\it~~$

$\bf h)~~6 \cdot 5 : 10 + h = 296$

$\bf30 : 10 + h = 296$

$\bf3 + h = 296$

$\bf h = 296 - 3$

$\blue{\underline{\bf h = 293}}$

$\it~~$

$\bf i)~~[(124 + 692) - 400 \cdot 2] : i = 4$

$\bf[(124 + 692) - 400 \cdot 2] = 4 \cdot i$

$\bf(124 + 692) - 800 = 4 \cdot i$

$\bf 816 - 800 = 4 \cdot i$

$\bf16 = 4 \cdot i$

$\bf i = 16 : 4$

$\purple{\underline{\bf i = 4}}$

$\it~~$

$\bf j)~~(24 : 3 + 45 : 5) + 143 = 4 \cdot j + 124$

$\bf (8 + 9) + 143 = 4 \cdot j + 124$

$\bf17 + 143 = 4 \cdot j + 124$

$\bf160 = 4 \cdot j + 124$

$\bf160 - 124 = 4 \cdot j$

$\bf36 = 4 \cdot j$

$\bf j = 36 : 4$

$\pink{\underline{\bf j = 9}}$

$\it~~$

$\bf k)~~12 \cdot 2 : k = 4$

$\bf 24 : k = 4$

$\bf 24 = 4 \cdot k$

$\bf k = 24 : 4$

$\red{\underline{\bf k = 6}}$

$\it~~$

$\bf l)~~(4 \cdot l + 5) - 6 \cdot 2 = 5$

$\bf(4 \cdot l + 5) - 12 = 5$

$\bf(4 \cdot l + 5) = 5 + 12$

$\bf4 \cdot l + 5 = 17$

$\bf 4 \cdot l = 17 - 5$

$\bf 4 \cdot l = 12$

$\bf l = 12 : 4$

$\green{\underline{\bf l = 3}}$

$\it~~$

$\bf m)~~m : 7 + (123 \cdot 3 - 53 \cdot 4) = 164$

$\bf m : 7 + (369 - 212) = 164$

$\bf m : 7 + 157 = 164$

$\bf m : 7 = 164 - 157$

$\bf m : 7 = 7$

$\bf m = 7 \cdot 7$

$\blue{\underline{\bf m = 49}}$

$\it~~$

$\bf n) ~~(n - 45 : 9) \cdot 3 = 2185 - 2164$

$\bf(n - 5) \cdot 3 = 21$

$\bf n - 5 = 21 : 3$

$\bf n - 5 = 7$

$\bf n = 7 + 5$

$\purple{\underline{\bf n = 12}}$

$\it~~$

$\bf o)~~24 - 7 \cdot 3) \cdot 5 \cdot 2 : o = 30 : 10$

$\bf 3 \cdot 5 \cdot 2 : o = 3$

$\bf 30 : o = 3$

$\bf o = 30 : 3$

$\pink{\underline{\bf o = 10}}$

$\it~~$

$\bf p)~~(p - 28 : 7 + 200) \cdot 5 = 32 000 + 3 \cdot 10$

$\bf(p - 4 + 200) \cdot 5 = 32 000 + 30$

$\bf(p - 4 + 200) \cdot 5 = 32 030$

$\bf p - 4 + 200 = 32 030 : 5$

$\bf p - 4 + 200 = 6406$

$\bf p - 4 = 6406 - 200$

$\bf p - 4 = 6206$

$\bf p = 6206 + 4$

$\red{\underline{\bf p = 6210}}$

$\it~~$

$\bf q)~~923 - q + 145 = 693$

$\bf 923 + g = 693 - 145$

$\bf 923 + q = 548$

$\bf q = 923 - 548$

$\green{\underline{\bf q = 375}}$

$\it~~$

$\bf r)~~r \cdot r + 648 = 7 \cdot 100 + 2 \cdot 10 + 3 \cdot 3$

$\bf r \cdot r + 648 = 700 + 20 + 9$

$\bf r \cdot r + 648 = 729$

$\bf r \cdot r = 729 - 648$

$\bf r \cdot r = 81$

$\bf r \cdot r = 9 \cdot 9$

$\blue{\underline{\bf r = 9}}$

==pav38==

Baftă multă !