Vreau explicație pas cu pas!
Răspunsuri la întrebare
Răspuns: b=10; a=29; x=1850
Explicație pas cu pas:
a)
1730÷[(21×b-33)-4]×20-16=184
1730÷[(21×b-33)-4]×20=184+16
1730÷[(21×b-33)-4]×20=200
1730÷[(21×b-33)-4]=200÷20
1730÷[(21×b-33)-4]=10
(21×b-33)-4=1730÷10
(21×b-33)-4=173
21×b-33=173+4
21×b-33=177
21×b=177+33
21×b=210
b=210÷21
b=10
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Verificare: 1730÷[(21×10-33)-4]×20-16=184
1730÷[(210-33)-4]×20-16=184
1730÷(177-4)×20-16=184
1730÷173×20-16=184
10×20-16=184
200-16=184
b)
[10+10×(a-10)]÷10-10=10
[10+10×(a-10)]÷10=10+10
[10+10×(a-10)]÷10=20
10+10×(a-10)=20×10
10+10×(a-10)=200
10×(a-10)=200-10
10×(a-10)=190
a-10=190÷10
a-10=19
a=19+10
a=29
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Verificare: [10+10×(29-10)]÷10-10=10
(10+10×19)÷10-10=10
(10+190)÷10-10=10
200÷10-10=10
20-10=10
c)
1200-(2x+100)÷19+2500=3500
1200-(2x+100)÷19=3500-2500
1200-(2x+100)÷19=1000
(2x+100)÷19=1200-1000
(2x+100)÷19=200
2x+100=200×19
2x+100=3800
2x=3800-100
2x=3700
x=3700÷2
x=1850
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Verificare:
1200-(2×1850+100)÷19+2500=3500
1200-(3700+100)÷19+2500=3500
1200-3800÷19+2500=3500
1200-200+2500=3500
1000+2500=3500
Răspuns:
Explicație pas cu pas:
a)
1 730 : [ ( 21 × b - 33 ) - 4 ] × 20 - 16 = 184
1 730 : [ ( 21 × b - 33 ) - 4 ] × 20 = 184 + 16
1 730 : [ ( 21 × b - 33 ) - 4 ] = 200 : 20
( 21 × b - 33 ) - 4 = 1 730 : 10
21 × b - 33 = 173 + 4
21 × b = 177 + 33
21 × b = 210
b = 210 : 21
b = 10
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b)
[ 10 + 10 × ( a - 10 ) ] : 10 - 10 = 10
[ 10 + 10 × ( a - 10 ) ] : 10 = 10 + 10
[ 10 + 10 × ( a - 10 ) ] : 10 = 20
10 + 10 × ( a - 10 ) = 20 × 10
10 × ( a - 10 ) = 200 - 10
a - 10 = 190 : 10
a - 10 = 19
a = 19 + 10
a = 29
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c)
1 200 - ( 2 x + 100 ) : 19 + 2500 = 3500
1 200 - ( 2 x + 100 ) : 19 = 3500 - 2500
( 2 x + 100 ) : 19 = 1 200 - 1 000
2 x + 100 = 200 × 19
2 x = 3 800 - 100
x = 3 700 : 2
x = 1 850