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A crane cable can support a maximum load of 20,000 kg. If a bucket has a mass of 4,000 kg and gravel has a mass of 1,500 kg for every cubic meter, how many cubic meters of gravel (g) can be safely lifted by the crane?

Respuesta :

coolstick
Alright, so we have a max of 20,000 kg. There is already 4000 on it, so we can subtract 4000 by 20000 to get 16000. We need to figure out how many times 1500 goes into 16000 to figure out the cubic meters, which is 16000/1500=10+2/3

Answer:

10.67 kg of gravel can be safely lifted by the crane

Step-by-step explanation:

Maximum load that a crane can support = 20000 kg.

Bucket has a mass = 4000 kg

Gravel has a mass = 1500 kg for every cubic meter.

Let the volume of gravel is = g cubic meter

Therefore, mass of the gravel = 1500g kg

Now we form an equation to show the weight that the crane cable can support

Mass of Bucket + mass of Gravel = Total mass that a lift can support

4000 + 1500g = 20000

1500g = 20000 - 4000

1500g = 16000

[tex]g=\frac{16000}{1500}[/tex]

g = 10.67 kg

Therefore, 10.67 kg of gravel can be safely lifted by the crane.