Question

ANswer all questions for 100 points

Solve the following inequality for x.

2(x-3)>6
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Solve the following equation for h:

4(2h-10)=10h+40
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Create a tree diagram to determine the outcome:

I have 5 shirts, 4 pairs of pants, and 10 pairs of socks. How many outfits can I create?
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Determine if the following is a fair way to collect data. If it is not fair then state how I can improve my data collection method.

I ask everyone in my honors math class, at my private school, if they prefer hockey, golf or tennis as a sport.
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I asked my friends at my lunch table about their favorite sandwhich. They all said it was salami. I can therefore assume everyone likes salami sandwhiches, correct? If I am not correct then tell me how to make a better survey.

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Simplify the following expression:

7(R+T)+8R-3T

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Simplify the following expression:

4(M-N)+2N-7M+12-5M

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I have a regular number cube, and I have 10 cards (5 of which are red, and 5 of which are blue). What is the probability of me rolling a 3 or 5 and picking a blue card? Draw a tree diagram if it helps you determine the outcomes.
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I am trying to determine what kind of music to listen to today. I have country, rock, pop, classical and alternative. What is a fair way to determine the music I should pick, since I have no preference today?

Answer 1

x>6

h=-40

200

no, you can not speak for everyone you should ask everyone at your school what their favorite sandwich is

15R+4T

-8m-2n+12

You have a 1 in 6 chance

You can assign each a one a letter A-E and have a friend pick one of the letters

Answer 2

1. x>6
2. h = -40
3. 200 outfits
4. ?
5. You can assume that everyone at your lunch table like salami sandwiches, but you can not speak for everyone everywhere. You might instead ask everyone at your school what their favorite sandwich is, or you might go even broader and ask your whole school district or even the whole state.
6. 15R+4T
7. -8m-2n+12
8. You have a 1 in 6 chance or rolling either a 3 or a 5 and the picking a blue card. (please note, this has been simplified)
9. You can assign each a number 1-5 and role a 5 sided die (singular for dice)

Explanation:

If you need an explanation for any of these, just message me. I don't have time to write one out for all of them right now, but I can probably spare some time for 1 or 2 of them later. Also, I don't know the answer to #4. That is why there is a question mark there.