Bed A is seven feet long. Bed B is 7/8 of bed A. Bed C is 7/8 of bed B. Bed D is 7/8 of C. A. Come up with an expression for the length of bed D. B. what is the length of bed D?…

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asked Jun 13, 2020 208k views

2 Answers

Shenique · Answer 1 · 2020-06-18T11:55:18+0000

Answer: An expression for the length of bed D is
(7)/(8)((7)/(8)((7)/(8)*7))

The length of bed D= 4.7 ft

Explanation:

Given: Bed A is seven feet long.

⇒ The length of bed A= 7 ft.

Bed B is 7/8 of bed A.

⇒ The length of bed B =
$(7)/(8)*7\ ft$

Bed C is 7/8 of bed B.

⇒ The length of bed C=
(7)/(8)((7)/(8)*7)

Bed D is 7/8 of C.

⇒ The length of bed D=
(7)/(8)((7)/(8)((7)/(8)*7))

$=(7)/(8)*(7)/(8)*(7)/(8)*7\\\\=(2401)/(64)=4.689453\approx 4.7\ ft.$