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The ratio of the height to the width of a packaging label is 5 to 19. If the height of the label is 2 inches, what is its width? HINT: Set up and solve as a proportion and find x.

Respuesta :

Height/width=5/19
5/19=2/x
(5)(x)=(19)(2)
5x=38
5/5x=38/5
x=38/5in or 7.6in
dsdrajlin

Answer:

7.6 inches

Step-by-step explanation:

The ratio of the height to the width of a packaging label is 5 to 19, that is,

h/w = 5/19 [1]

If the height of the label is 2 inches, and its width is unknown (x), that is,

h/w = 2 in/x [2]

We can set up a proportion with [1] and [2],

5/19 = 2 in/x

We use the cross product property of proportions.

5 × x = 19 × 2 in

x = 19 × 2 in/ 5 = 7.6 in

The width is 7.6 inches.