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love history [14]
3 years ago
13

Proportional relationships, please answer all of the parts! Thank you!

Mathematics
2 answers:
Natalka [10]3 years ago
7 0

Answer:

a. No (see below)

b. (see below)

c. Johnny

d. Johnny = $12.50 / hour      Doug = $9.16... / hour

e. Doug: extend the table to show how much he gets paid for 1 hour of work (the unit rate)

Johnny: already on the graph

Step-by-step explanation:

a. No. This is because a proportional relationship would have a certain ratio between payment and the amount of time spent working, which would not change. However, if Doug's neighbour pays him $55 for 6 hours, it's likely that this is not a proportional relationship, or we would be able to divide $55 by the 6 hours Doug spent working.

b. Even though above I said that it's probably not a proportional relationship, if it were, we would have to divide everything equally. I'm guessing the table should look like this:

                            Doug

       Time (hr)                      Earnings ($)

          4                                  $36.66...

          5                                  $45.8333...

          6                                  $55

          7                                  $64.4666....

          8                                  $73.333...

To work out how much Doug would get for working 4 hours:

4/6 x $55 = 2/3 x $55 = $36.66... (so definitely not a proportional relationship)

To work out how much Doug would get for working 5 hours:

5/6 x $55 = $45.8333.... (more evidence that this is not a proportional relationship)

To work out how much Doug would get for working 7 hours (we already got 6 hours):

7/6 x $55 = $64.4666...

To work out how much Doug would get for working 8 hours:

8/6 x $55 = $73.33... (we could double the 4 hour payment, but this is probably more accurate)

c. Johnny is getting paid more. If we look at how much Doug gets for 6 hours, it's $55. If we look out at how much Johnny gets for 6 hours, it's $75. (If we do the same with the other amounts of time, it's the same.

4 hours: D = $36.67 vs J = $50

5 hours: D = $45.83 VS J = $60

etc...

d. Johnny gets $75 per 6 hours --> 75/6 = $12.50 per hour

Doug gets $55 per 6 hours --> 55/6 = $9.1666... per hour

e. Carry on the table for Doug all the way to 1, so you can see the how much Doug gets paid for 1 hour of work (i.e. the minimum).

The unit rate is already on the graph for Johnny.

HOPE THIS HELPED :)

P.S. Mate cld you please give me Brainliest? That table took so much dam work

Mumz [18]3 years ago
3 0
I agree with the other person
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Help w all of these questions!!! aaahhhhh! you will be the brainiest and get 20 pts!!!!
erastovalidia [21]

Answer:

The answer to your question is below

Step-by-step explanation:

1.- 3x + 54 = 5x + 14

   3x - 5x = 14 - 54

   -2x = - 40

    x = 20

2.- I can not see it

3.- Yes, they are paralleles

because 180° = 119 + 61 = 180°

4.-

  180° - 82 - 31 = 67°

  180° - 67 - 98 = 15°

  q = 15°

5.- 100 - x + 30 + 4x + 7x = 180

     10x = 180 - 100 - 30

     10x = 50°

      x = 5

     7x = y

     y = 7(5)

    y = 35°

6.-

        55 + 4x + 2x - 5 = 180

        6x = 180 - 50

        6x = 130

        x = 21.7°

7.-

slope = (1 - 2) / (3 - 0)

     m = -1 / 3

     ( y + 1 ) = -1/3(x - 0)

8.-

9.-

slope = 3/7

P (-14 , -3)

   ( y + 3) = 3/7(x + 14)

10.-

Point (3,2)

A (2, 10)

B (4, 7)

slope = (7 - 10) / (4 - 2)

       m = -3/2

New slope = 2/3

            (y - 2) = 2/3(x - 3)

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Answer:

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Sammy makes $2362/month as a baseball coach. He is making a budget, and has made the following chart in order to divide his mont
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Sammy calculated the total amount that he deposited by <em>adding up the total amount deposited in each account.</em>

  • The Checking account is used to pay for fixed and variable essential expenses.  In this account, Sammy deposited $1,712.

  • The Cash account is used for non-essential expenses, like snacks, etc.  A total of $260 was deposited into this account.

  • The Emergency Savings account is used for both other predictable and unpredictable expenses.  A total of $340 was deposited into the account.

  • For the Vacation Savings account, it is used to carter for other long-term expenses.  A total of $50 was deposited into the account.

  • When these accounts are added up, the total deposit made by Sammy can be calculated to be $2,362 ($1,712 + $260 + $340 + $50).

Data and Calculations:

Accounts             Checking   Cash Account    Emergency     Vacations

                                                                             Savings         Savings

Expenses:

Essential (fixed)       $1,292

Essential (variable)      420

Non-essential                                  $260

Other predictable                                                   $130

Other (unpredictable)                                              210

Other (long-term)                                                                        $50

Total                       $1,712              $260             $340             $50

Thus, Sammy calculated the total amount that he deposited by adding up the total deposit in each account.

Link for related question:

brainly.com/question/22429629

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$293.43

Step-by-step explanation:

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