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35300 tons of sugar beet we need in order to get 7,413 tons of sugar.
<u>Step-by-step explanation:</u>
Given that in sugar beet, there is 21% of sugar. Need to find out how much sugar beet we need in order to get 7,413 tons of sugar. Let we need x tone of sugar beet. So, according to the asked data, we have
x = 35300 tones
Check the picture below.
Answer:
112
Step-by-step explanation:
Let A be a subset of S that satisfies such condition.
If 3∈A, then the other three elements of A must be chosen from the set B={1,2,5,6,7,8,9,10} (because 3 cannot be chosen again and 4 can't be alongside 3). B has eight elements, then there are ways to select the remaining elements of A (the binomial coefficient counts this). The remaining elements determine A uniquely, then there are 56 subsets A.
If 4∉A, we have to choose the remaining elements of A from the set B={1,2,5,6,7,8,9,10}. B has eight elements, then there are ways to select the remaining elements of A. Thus, there are 56 choices for A.
By the sum rule, the total number of subsets is 56+56=112