If you take 2/5 of a number and add 2 you get 12. Let x represent the original number.

1) 1 Quarter, 2 Dimes, 2 Nickles, 10 Pennies

2) The ninth floor is 3 times as far from the ground as the third (9/3)

3) That number is 20 (20/2 = 10, 20*2 = 40, 40-10 = 30)

4) 1 Bracelet is $9 (If 2 rings are $12 then 1 ring will be $6. $36 - $18 = $18 2 bracelets = $18)

5) Addie weighs 4oz Missy weighs 14oz Corky weighs 8oz(A + M = 18, M + C = 22, A + C = 12. )

don't expect people to do 6 questions for the points of 1 question.

1) 1 Quarter, 2 Dimes, 2 Nickles, 10 Pennies

2) The ninth floor is 3 times as far from the ground as the third (9/3)

3) That number is 20 (20/2 = 10, 20*2 = 40, 40-10 = 30)

4) 1 Bracelet is $9 (If 2 rings are $12 then 1 ring will be $6. $36 - $18 = $18 2 bracelets = $18)

5) Addie weighs 4oz Missy weighs 14oz Corky weighs 8oz(A + M = 18, M + C = 22, A + C = 12. )

don't expect people to do 6 questions for the points of 1 question.

8. Answer the original questions. (2 points: 1 point each question)

a) How long is each individual act?

Each individual act is 5 minutes.

b) How long is each group act?

Each group act is 10 minutes.

9. Discussion.

Discuss the reasonableness of your answers. (2 points: 1 point for each part)

a) Is the answer you found reasonable? Does it seem like enough time?

Yes, I believe the answer if found was reasonable. I think it is reasonable because 5 minutes seems to be enough time for an act with one person, and 10 minutes seems to be enough time for an act with multiple people.

Step-by-step explanation:

8. Answer the original questions. (2 points: 1 point each question)

a) How long is each individual act?

Each individual act is 5 minutes.

b) How long is each group act?

Each group act is 10 minutes.

9. Discussion.

Discuss the reasonableness of your answers. (2 points: 1 point for each part)

a) Is the answer you found reasonable? Does it seem like enough time?

Yes, I believe the answer if found was reasonable. I think it is reasonable because 5 minutes seems to be enough time for an act with one person, and 10 minutes seems to be enough time for an act with multiple people.

Step-by-step explanation:

1) Given m represent the total number of miles Hannah walked.

Let us assume Hannah walked x miles each day.

So total number of miles Hannah walked in 5 days is m=5x.

2)Given Jimmy brought 2 books per day and Peter brought 4 books per day.

If d is the number of days the book drive, total number of books they brought

        =total number books brought by Jimmy+ total number of books brought by Peter                                                                          

        = 2d+4d = 6d

3) Given that c represent cost of the clothes.

Then 30% discount = 0.3c

Hence cost of the clothes = c-0.3c = 0.7c

4) Given c represent the cost of their meal before tipping.

And tip is 15% of the cost.

Hence tip = 0.15c

Hence total bill = c+0.15c=1.15c

5) Given that Tommy had 40$ in his pocket.

And pair of pants cost 37$ with 10% sales tax.

Hence cost of pants including sales tax = 37+37*0.1 = 40.1$ >40$

Hence Tommy cannot afford the pants with 40$ in his pocket.

For following problems, we should group the like terms together and then simplify.

6) (x+8)+(3x-12) = (x+3x)+8-12 = 4x-4

7) 5x+7-(3x-4) = 5x+7-3x+4 = (5x-3x)+7+4 = 2x+11

8) (x-2)-(-4x+1)=x-2+4x-1 = (x+4x)-2-1 = 5x-3

1) Given m represent the total number of miles Hannah walked.

Let us assume Hannah walked x miles each day.

So total number of miles Hannah walked in 5 days is m=5x.

2)Given Jimmy brought 2 books per day and Peter brought 4 books per day.

If d is the number of days the book drive, total number of books they brought

        =total number books brought by Jimmy+ total number of books brought by Peter                                                                          

        = 2d+4d = 6d

3) Given that c represent cost of the clothes.

Then 30% discount = 0.3c

Hence cost of the clothes = c-0.3c = 0.7c

4) Given c represent the cost of their meal before tipping.

And tip is 15% of the cost.

Hence tip = 0.15c

Hence total bill = c+0.15c=1.15c

5) Given that Tommy had 40$ in his pocket.

And pair of pants cost 37$ with 10% sales tax.

Hence cost of pants including sales tax = 37+37*0.1 = 40.1$ >40$

Hence Tommy cannot afford the pants with 40$ in his pocket.

For following problems, we should group the like terms together and then simplify.

6) (x+8)+(3x-12) = (x+3x)+8-12 = 4x-4

7) 5x+7-(3x-4) = 5x+7-3x+4 = (5x-3x)+7+4 = 2x+11

8) (x-2)-(-4x+1)=x-2+4x-1 = (x+4x)-2-1 = 5x-3

See below

Step-by-step explanation:

Feel free to be creative or even to come up with an activity you think your teacher has not seen before.

Liked that. So let's be creative.

Part 1: Record Information

Spend a short amount of time (one to five minutes) doing your activity. Answer the following questions:

1. What was the activity?

I am from Japan and practice Kendo (feel free to search about it). Suppose you are doing suburi. You did 100 joge suburi.

2. How long did you spend doing your activity?

Suppose it took you 5 minutes.

3. How much of the activity did you complete in the time period? (Example: I did 24 sit-ups in one minute.)

You did 100 joge suburi in 5 minutes. It means

4. Which of these variables is your dependent variable?

If you want to calculate how much suburi you did in an amount of time , given the time in minutes, we can write the function

Therefore, the dependent variable is the number of suburis. More precisely it is given by . On the other hand, the independent variable is , the time.

Considering the example: I did 24 sit-ups in one minute.

sit-ups is the dependent variable and the number of minutes represents the independent variable.

Note: The number of sit-ups will depend on the time. 24 is the coefficient. In this case, the function would be

5. Which one is the independent variable?

The time in minutes.

6. Write a sentence that describes the relationship between the dependent variable and the independent variable. (Hint: Ratio language can help.)

You can write: The ratio of suburi done is 100:5 or 20:1 because for every 1 minute passed you did 20 suburis.  

Part 2: Prepare a Table

Assuming that you could complete the activity at the same rate over different time periods, how much of the activity could you complete in two minutes, three minutes, four minutes, and five minutes? (Note: If you spent two minutes doing your activity, then you should edit the table below and use multiples of 2 up to 10).

You may use the table below for your variables.

Time (minutes)          Quantity of suburi

0                                         0

1                                          20

2                                         40

3                                         60

4                                          80

5                                         100

Part 3: Prepare a Graph

Create a graph to show your relationship. Make sure you include all the parts for a graph and show the data clearly. Include a title for the graph and label the x- and y-axes.

This part I will let it to your. But is is just a linear graph.

Part 4: Write an Equation

Based on your recorded values, write an equation that represents the relationship between the time you spent doing the activity and the amount of the activity you completed. Make sure to define your variables.

7. If you were able to maintain this rate of your activity for 12 minutes, how much of the activity would you be able to complete?

For :

240 suburis

8. How long would it take you to reach 100 for the number of times you did your activity?

5 minutes.

9. Which representation do you believe is the best way to share this information with someone else? This is your opinion. No answer is right or wrong.

The function is the best because it describes all the variables easily.

not sure if this is correct but 1. A ( reasoning: "Hint: Mitch has to do the opposite of subtract 43 to both sides." which means he had to add. 2. She can get no more than 4