One band has 30 speakers. They stack them at least 3 high, but no taller than 6 high. What are all the different arrays they could make?

what the hell 🤬

This helps a lot thanks

To find all the different arrays the band could make with their 30 speakers, we need to determine the different combinations of speaker heights that satisfy the given conditions.

Since each array can be stacked at least 3 high, let's start by considering the minimum stack height. If the band stacks their speakers at 3 high, we can calculate the number of arrays by dividing the total number of speakers (30) by the stack height (3). In this case, we get 30/3 = 10 arrays.

Next, we need to consider higher stack heights. From the given conditions, we know that the stack height should not exceed 6. Therefore, we need to find how many combinations are possible for stack heights from 4 to 6.

For a stack height of 4, we calculate the number of arrays by dividing the total number of speakers (30) by the stack height (4). In this case, we get 30/4 = 7 arrays.

For a stack height of 5, we calculate the number of arrays by dividing the total number of speakers (30) by the stack height (5). In this case, we get 30/5 = 6 arrays.

For a stack height of 6, we calculate the number of arrays by dividing the total number of speakers (30) by the stack height (6). In this case, we get 30/6 = 5 arrays.

Therefore, the band can create a total of 10 + 7 + 6 + 5 = 28 different arrays with their 30 speakers when following the given conditions.

None of this helps alright 🤬

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