This question is based on the concept of division. Therefore, the the greatest number of crates that can safely be lifted at one time without breaking the cable is 71.
Given:
A crane has a cable with a breaking strain of 6400 kg measured to 2 significant figures. It is used to lift crates which weigh 90 kg measured to the nearest 10 kg.
We need to calculate the greatest number of crates that can safely be lifted
at one time without breaking the cable.
According to the question,
It is given that, the breaking strain of the crane is 6,400 kilograms and each crate is 90 kilograms.
Thus, to know the number of crates (n) that can safely lift is equal to the weight of the crane is 6,400 kilograms divided by is 90 kilograms.
In mathematically expressed as,
[tex]n = \dfrac{weight \,of \,the \,crane}{weight \,of \,each \,crate} \\\\n= \dfrac{6400}{90}\\\\n = 71.111 \approx 71[/tex]
Therefore, the the greatest number of crates that can safely be lifted at one time without breaking the cable is 71.
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https://brainly.com/question/15318832
