Answer:
number of complete pieces of 67/8 cable that can be cut from a 15 foot length of cable = 21
Step-by-step explanation:
The question is asking how many 8 3/8 inches in length of a cable that can be cut from a 15 foot length of cable. we have to make the unit of measurement equal to know how many 8 3/8 inches in length of a cable that can be cut from a 15 foot length of cable. Le us convert 15 ft to inches.
1 ft = 12 inches
15 ft = ?
cross multiply
15 × 12 = 180 inches
Note 8 3/8 = 67/8 inches
To know the number of pieces 67/8 inches cable that can be cut from 180 inches cable we have to divide 180 by 67/8
Therefore,
number of pieces = 180 ÷ 67/8
number of pieces = 180 × 8/67
number of pieces = 1440/67
number of pieces = 21.492537313
number of complete pieces of 67/8 cable that can be cut from a 15 foot length of cable = 21
There are 21 complete pieces of cable [tex]\rm 8\dfrac{3}{8}[/tex] inch in length that can be cut from a 15 foot length of cable.
This question can be solved by applying unitary method
We know that
1 foot = 12 inches
So the length of 15 foot cable in inches can be written as follows
[tex]\rm 12 \times 15 = 180\; inch[/tex]
[tex]\rm The\; length\; of \; one \; single \; piece \; of \; the \; cable = 8\dfrac{3}{8} \; inch = \dfrac{67}{8} inch = 8.375\; inch[/tex]
Let here be"n" number of cable pieces that can be cut from 15 foot cable
So we can write equation (1) which is formulated and solved as follows
[tex]\rm n \times 8.375 = 180........(1) \\n = 180/8.375 \\n = 21.49 \approx \bold{21 }[/tex]
So we can conclude that there are 21 complete pieces of cable [tex]\rm 8\dfrac{3}{8}[/tex] inch in length that can be cut from a 15 foot length of cable.
For more information please refer to the link given below
https://brainly.com/question/19423643
