04/23/25

You are making 6 quarts of juice. You have bottles of 100% juice and bottles of 80% juice. How many quarts of each type of juice should you mix to make 6 quarts of 80% juice?

This question can be solved using systems of linear equations. We should make the equations and then decide if we want to use substitution or elimination to solve for one of the variables. Then we... more

04/17/25

If you draw 2 cards from a standard 52 card deck without replacement, what is the probability you will draw a face card followed by non-face card?

We can start with what we know and proceed from there. We have a 52-card deck. So, all our total possible outcomes will come from that deck of 52 cards. Our sample space is 52.We know we have 12... more

04/15/25

Can you complete the following syllogism, so it is valid, and the conclusion is true?

All movie stars are hard working.All hardworking people are well liked.No well-liked people are without friends.

04/14/25

What are all the winning the coalitions in the voting system [25:4,4,6,7,9]?

Write out all the winning coalitions in the voting system [25:4,4,6,7,9]Let's label each voter, A,B,C,D, and E so the weight of voter A=4, B=4, C=6 and so on.We have to think about the groups we... more

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