Asignatura: Matemáticas
Autor: Saldanagael1085
hace 5 años

Alguien que me ayude a resolver estos ejercicios propuestos por favor

hanyurimartinez: SOLUCION :

1)

a) x/6 = 35/42 x = 6*35/42 = 5

b) (x+1)/8= 5/2 x+1 = 8*5/2 = 20 x = 20-1 = 19

c) 5/(x+1) = 6/(x-2) 5*( x-2) = 6*(x+1) 5x -10 = 6x+6 x = -16

d) ( x+8)/3 = (2x-2)/8 8x + 64 = 6x-6 2x = -70 x = -35

e) 9/x=x/16 x² = 9*16 = 144 x = √144 = 12 .

2) proporción geométrica :

4;10;28;70

4/10 = 28/70 4:10= 28:70

8; 20 ; 64 ; 80 .

8/20 ≠64/80 no es proporción geométrica.

2; 6 ;10; 30

2/6 = 10/30 2:6 = 10:30 1/3 = 1/3

hanyurimartinez: este oe

dayshaabigailmedinam: a) x/6 = 35/42 x = 6*35/42 = 5

b) (x+1)/8= 5/2 x+1 = 8*5/2 = 20 x = 20-1 = 19

c) 5/(x+1) = 6/(x-2) 5*( x-2) = 6*(x+1) 5x -10 = 6x+6 x = -16

d) ( x+8)/3 = (2x-2)/8 8x + 64 = 6x-6 2x = -70 x = -35

e) 9/x=x/16 x² = 9*16 = 144 x = √144 = 12 .

2) proporción geométrica :

4;10;28;70

4/10 = 28/70 4:10= 28:70

8; 20 ; 64 ; 80 .

8/20 ≠64/80 no es proporción geométrica.

2; 6 ;10; 30

2/6 = 10/30 2:6 = 10:30 1/3 = 1/3

dayshaabigailmedinam: 3) a) 21*3 = 7*9 21/7 = 9/3

21 ; 7 ; 9 ; 3

b) 5*24 = 8*15

5/8 = 15/24

5 ;8 ;15 ; 24

c) 3*45 = 5*27

3/5 = 27/45

3; 5 ; 27 ; 45

4) a) 3/5 = 21/35

3/5 = 24/40

3/5 = 27 / 45

3/5 = 30 / 50

dayshaabigailmedinam: b) 4/9 = 16/36

4/9 = 20 / 45

4/9 = 24/54

4/9 = 28/63

5) a) x/y = 5/4 x+y = 27

x = 5/4y

5/4y + y = 27

9/4y = 27

y = 27*4/9

y = 12

x = 5/4*12 = 15

b) x/y = 3/9 x+y = 32

y = 3x x +3x = 32 4x = 32 x = 8 y = 32-8 = 24

c ) 18/x = 21/y y = 7/6x

x - y = 1

x - 7/6x = 1

x = 6

y = 7/6* 6 = 7

d) 24/x = 12/y x -y = 6

x = 2y 2y - y = 6 y = 6

x = 2* 6 = 12

dayshaabigailmedinam: e) x/y = 4/2 x -y = 10

x = 2y 2y - y = 10 y = 10

x = 2* 10 = 20

6) x =? y =? z =?

a) x/3 = y/5 = z/6 x + y+ z = 98

x/3 = y/5 y = 5/3x

x/3 = z/6

z = 2x

x + 5/3x + 2x = 98

14/3x = 98

x = 98*3/14 = 21

y = 5*21/3 = 35

z= 2*21 = 42 .

b) 4/x=8/y =16/z x+y+z = 35

4/x = 8/y

y = 2x

4/x = 16/z z = 4x x + 2x + 4x = 35 7x = 35 x = 5

y = 2*5 = 10

z = 4*5 = 20

c ) x/3 = y/6 = z/18 x+y+ z = 24

x/3 = y/6 y = 2x

x/3 = z/18 z = 6x

dayshaabigailmedinam: x+ 2x+ 6x = 24 x = 24/9 = 8/3

y = 2*8/3 = 16/3

z = 6* 8/3 = 16

d ) 0.4/x = 0.2 /y = 0.8/z x+y+z = 2

0.4/ x = 0.2/y x = 2y

0.2/ y = 0.8/z z = 4y 2y + y +4y = 2 7y = 2 y = 2/7

x = 2*2/7 = 4/7

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dayshaabigailmedinam: chau