The dance committee has a budget of $125 to decorate the gym for a spring dance.They already spent $65. some members want to buy helium balloons that cost $0.80 each. write and solve an inequality to show the number of balloons that the dance committee could buy.Graph the solution set for the inequality.describe what the solution means and how the number of balloons affects the amount in the budget.

Answers

Answer 1

Answer:

if they want to spend all of their money they could buy 48 balloons. what I did was 125-65=60. then 60X0.80=48. So the more balloons they get the less money they have and they can buy a lot but then they wouldn't have any money left to buy something else

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You want to put some money in a simple interest account. It pays 8% interest annually for 2 years. You would like to earn $500 in interest. How much money do you need to put in?

Answers

500=P*0.08*2
500/0.16=P
P=3125

If m <HGF is 89 degrees. Then m <HGI= —.

Answers

It's not 'A'.
All the angles on the same side of a straight line
have to add up to 180°.
With that hint, you can do it now.

Answer:

Step-by-step explanation:

anser is B not A it is 91

When solving 2(x + 5) = −8, the property used in the first step is the ___________. answers: distributive property substitution property addition property transitive property

Answers

Answer:

Distributive property.

Step-by-step explanation:

The 2 is being distributed to the x and 5

It's the first step due to PEMDAS (Parenthesis first)

How can 12 people share an 8 segment gummy worm? find two ways

Answers

Okay, so this question has a lot to do with DISTINGUISHABILITY which basically means: Can you tell the difference between each of the 12 people and can you tell the difference between each of the 8 gummy worm segments?

There are 4 possibilities: The people and gummies are both distinguishable, the people and gummies are both indistinguishable, the people are distinguishable and the gummies are not, or the people are not distinguishable and the gummies are.

The people and gummies are both distinguishable. (This is the easiest case)
There are 8 gummies. Each gummy can go to 12 different people. So the total number of ways we can give 8 distinct gummies to 12 distinct people is 8^12.

The people and gummies are both indistinguishable (Much harder)
This case is not necessarily harder, but it is very tedious and requires lots of careful, boring work. You would have to list out every single possible case, 1 by 1, there are no easier shortcuts... for example
8 0 0 0 0 0 0 0 0 0 0 0
7 1 0 0 0 0 0 0 0 0 0 0
6 2 0 0 0 0 0 0 0 0 0 0
6 1 1 0 0 0 0 0 0 0 0 0
5 3 0 0 0 0 0 0 0 0 0 0
5 2 1 0 0 0 0 0 0 0 0 0
5 1 1 1 0 0 0 0 0 0 0 0
4 4 0 0 0 0 0 0 0 0 0 0
...
...
And this would keep on continuing until you're sure you have counted every single one. But remember:
4 4 0 0 0 0 0 0 0 0 0 0
is the same as
4 0 0 4 0 0 0 0 0 0 0 0
because the people are indistinguishable.
Lifehack: Use Wolfram Alpha for questions like this. I tried this just now and Wolfram Alpha stubbornly only counts partitions with all members greater than 1... so for this particular problem, WA won't work

The people are distinguishable but the gummies are not
This requires a bit more experience with combinatorics...
My comments above replying to the question talk about this. It is essentially 19C11 = 19C8.

The people are indistinguishable but the gummies are distinguishable
This is by far the hardest case. Remember our second case (The people and gummies are both indistinguishable (Much harder)).
Now we have to add on an extra step on top of all that partitioning. For each and every partition we have to calculate how many ways there are to make that partition. For the
8 0 0 0 0 0 0 0 0 0 0 there is only 1 possible way, all the gummies go to one person
For the
7 1 0 0 0 0 0 0 0 0 0 there is 8 possible ways, we choose one from the 8 gummies that goes to a new person (instead of the person that already has 7 gummies).

This brings everything to an end. I covered the general techniques for each of the 4 distinguishability cases. Hopefully this helps. If it does, please consider making this the brainliest answer. It took me quite a while to write this! :)

12 / 8 = 1.5 so each person gets 1.5 of the 8 segment gummy worm. OR
Try to spilt it in 12 evenly peices
Hope this helps

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