On a certain planet objects weight about 7/12 of what they weigh on earth. an object weighs 13 5/12 pounds on the planet. solve the equation 7/12w=13 5/12 for w to find the objects weight​

Respuesta :

Answer:23 pounds

》7/12 × W = 13 5/12

》7/12 × W = 161/12

》W = (161×12) / (12×7)

》W = 1932/84

》W = 23

Answer:

40.25 pounds

Step-by-step explanation:

Given : On a certain planet objects weight about[tex]\frac{7}{12}[/tex] of what they weigh on earth.

To Find :. an object weighs [tex]13 \frac{5}{12}[/tex] pounds on the planet. Solve the equation [tex]\frac{7}{12}w=13 \frac{5}{12}[/tex]

Solution:

Equation : [tex]\frac{7}{12}w=13 \frac{5}{12}[/tex]

[tex]\frac{7}{12}w=\frac{161}{12}[/tex]

[tex]w=\frac{161}{12} \times \frac{12}{4}[/tex]

[tex]w=\frac{161}{4}[/tex]

[tex]w=40.25[/tex]

Hence the object weighs 40.25 pounds