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lozanna [386]
3 years ago
9

A structural steel fabricator cuts 25 pieces each 16.2 centimeters long from a 6.35-meter length

Mathematics
1 answer:
Daniel [21]3 years ago
7 0

Answer: 2.2 meters

Step-by-step explanation:

The data is:

The initial piece is 6.35 meters long.

We cut 25 pieces of 16.2cm each, so in pieces only we have:

25*16.2cm = 405cm

1m = 100cm

Then: 405cm = (405/100) m = 4.05m

And each time that we cut a piece, we have 4mm of waste.

Then we have 25 times the 4mm of waste, this means that the total waste is:

4mm*25 = 100mm

and 1000mm = 1m

100mm = (100/1000) m = 0.1m

So the total amount that was cut is:

4.05m + 0.1m = 4.15m

The length in the channel iron will be: 6.35m - 4.15m = 2.2 meters

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You can solve this using a system of equations:
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Multiply each term in the second equation by -0.06 to cancel out the 0.06x from the first equation.

-0.06x - 0.06y = -1740

Now add this equation to the first equation and solve for y.

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0.02y = 320
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Since you know y = 16,000 you can substitute it into either of the original equations to solve for x. I picked the second equation because it's simpler, but you could also use the first.

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

Given

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