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Arlecino [84]
3 years ago
7

A construction worker has a cable that is 8 yards long. He wants to cut it into 9 equal-length pieces. How long will each piece

of cable be?
Mathematics
2 answers:
telo118 [61]3 years ago
8 0
Let's find how many inches each piece of cable will be, by finding how many feet are in 8 yards, then finding how many inches are in that many feet. 

Since there are 3 feet in a yard, 3 x 8 = 24. There are 24 feet in 8 yards.

Since there are 12 inches in a foot, 12 x 24 = 288. There are 288 inches in 24 feet. 

Now let's find how long each cable will be. 288/9 = 32. 

Each piece of cable will be 32 inches long. 

Hope this helped! If you have anymore questions or don't understand, please comment or DM me. :)
Troyanec [42]3 years ago
4 0
They would be 32 inches because I did it again and got 32 inches or 0.8 yards
long and if you need any more help or this wasn't correct just tell me :D

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\dfrac{1}{4}\left(1-\dfrac{2}{3}\right)^2+\dfrac{1}{3}=\dfrac{1}{4}\left(\dfrac{3}{3}-\dfrac{2}{3}\right)^2+\dfrac{1}{3}=\dfrac{1}{4}\left(\dfrac{3-2}{3}\right)^2+\dfrac{1}{3}\\\\=\dfrac{1}{4}\left(\dfrac{1}{3}\right)^2+\dfrac{1}{3}=\dfrac{1}{4}\cdot\dfrac{1^2}{3^2}+\dfrac{1}{3}=\dfrac{1}{4}\cdot\dfrac{1}{9}+\dfrac{1}{3}=\dfrac{1}{36}+\dfrac{1}{3}\qquad(*)\\\\\text{the common denominator is}\ 36.\\\\36=3\cdot12\to\dfrac{1}{3}=\dfrac{1\cdot12}{3\cdot12}=\dfrac{12}{36}\\\\(*)\qquad=\dfrac{1}{36}+\dfrac{12}{36}=\dfrac{1+12}{36}=\dfrac{13}{36}

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