Question

cat face
x/2 = y/3 = z/4


si x+y+z =29
x=?
y=?
z=y

sunt doua intrebari si semnul asta / inseamna supra ​

Answer 1

1/x = 2/y = 3/z = 4/t = k

x = 1/k, y = 2/k, z = 3/k, t = 4/k

x + y/2 + z/3 + t/4 = 1/8

1/k + 1/k + 1/k + 1/k = 1/8

4/k = 1/8

k = 4 * 8/1 = 32

Răspuns:

x = 1/k = 1/32

y = 2/k = 2/32 = 1/16

z = 3/k = 3/32

t = 4/k = 4/32 = 1/8

Answer 2

Răspuns:

$\frac{x}{2}= \frac{y}{3}= \frac{z}{4} =k$ ⇒ x=2k,   y=3k,   z=4k

x+y+z=29 ⇒ 2k+3k+4k=29  9k=29  ⇒  $k=\frac{29}{9}$

$x=2*\frac{29}{9}$  ⇒ $x=\frac{58}{9}$

$y=3*\frac{29}{9}$  ⇒  $y=\frac{29}{3}$

$z=4*\frac{29}{9}$  ⇒ $z=\frac{116}{9}$

Explicație pas cu pas: