Question

ILL GIVE BRAINILEST: the question is in the image

Answer 1

Answer:

A. Monday = 36°, Tuesday = 54°, Wednesday = 90°, Thursday = 108°, Friday = 72°

B. Monday = 10%, Tuesday = 15%, Wednesday = 25%, Thursday = 30%, Friday = 20%

C. Monday = 20 people, Tuesday = 30 people, Wednesday = 50 people, Thursday = 60 people, Friday = 40 people

D. Scroll below!

Step-by-step explanation:

Utilizing algebra, we can make an equation to help us solve for the degrees. A whole circle is 360° degrees so we set all variables equal to 360°. Giving us this:

3/2x° + x° + 2x° + 3x° + 90° = 360°

Then we subtract 90° and add all the like variables together (the x's).

We get:

6 3/2x° = 270°

Then we divide 270° by 6 3/2x°

Which results in x = 36°

Now we can plug this in as our x value and solve for the variables!

Monday = x = 36°

Tuesday = 3/2x = 3/2 * 36° = 54°

Wednesday = 90°

Thursday = 3x = 3 * 36° = 108°

Friday = 2x = 2 * 36° = 72°

Now we can solve for B.

We will once again use the information that a circle is 360°, therefore to find the percentage of people chose each day by dividing our previous answers by 360° which gives us:

Monday = 10%

Tuesday = 15%

Wednesday = 25%

Thursday = 30%

Friday = 20%

Now we can solve for C by utilizing the percentages, changing them to decimals, and multiplying them by 200. We can use the number 200 because that is the number of people altogether.

Monday = .1 x 200 = 20 people

Tuesday = .15 x 200 = 30 people

Wednesday = .25 x 200 = 50 people

Thursday = .3 x 200 = 60 people

Friday = .2 x 200 = 40 people

20 + 30 + 50 + 60 + 40 = 200

Therefore this checks out.

Now all you must do is make a table and insert the numbers! I filled out a couple to help :]

                Degrees  | Percentage  | # of People

Monday  | 36°                10%               20 people  

Tuesday  |

Wednesday  |  90°

Thursday  |                    30%      

Friday  |                                               40 people