Can someone please give me a good explanation of how to work this out! 15 points for a good answer.

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

Answer:

Step-by-step explanation:

|x+3| - 2 > 9

First add two to both sides

That's

| x + 3 | - 2 + 2 > 9 + 2

Simplify

We have

| x + 3 | > 11

Apply the absolute rule

That's

If | u| > a where a > 0 then

u < - a or u > a

So we have

x + 3 < - 11 or x + 3 > 11

For x + 3 < - 11

x + 3 < - 11

x < - 11 - 3

x < - 14

For x + 3 > 11

x + 3 > 11

x > 11 - 3

x > 8

Combine the intervals

We have the final answer as

Hope this helps you

Answer:

x > 8 ∪ x < -14

Step-by-step explanation:

Start by adding 2 to both sides, obtaining the simpler inequality

|x+3| >11

Rewriting this as | x -(-3) | >11 makes the solution easier to visualize.  Think of (or draw) a number line with an open circle at x = -3.  This is the "center."  

| x -(-3) | >11 tells us that x is either 11 units greater than -3 or 11 units smaller than -3:  

x > 8 ∪ x < -14

Answer:

The third answer. ( John's boat was farther from the deck at the beginning but Roberta's boat traveled more quickly)

Step-by-step explanation:

You already know that in the beginning John's boat begins 20 miles  from the dock. Now you need to find Roberta! When each boat begins from the dock, it means when x=0. So lets insert that! y= 6(0)+15. You get 15. Now you know that its either the 3rd or 4th answer.  The second piece of info you have for John is that it is 45 miles from the dock after 5 hours. Again, in the beginning it started with 20 miles. 45-20= 25 miles TRAVELED in 5 hours.  For Roberta, we need to insert 5 in the equation for x. y=6(5)+15. You get: 45 again! But... Roberta started at 15 miles. So 45-15 is 30 miles. She traveled 30 miles in 5 hours. The only answer that is matching to our problem solving is the third answer. Hope this helps!

Answer:

C

use long division to solve if you need to show your work.

Answer:

The length of the base is 9.8 centimeters.

Step-by-step explanation:

The formula for the area of a triangle is Area = 1/2 * b * h

Substitute the area and height into this formula and you can solve for the base length. Hope this helps!

Answer:

9.8 cm

Step-by-step explanation:

The formula for a triangle is 1/2*b*h

Answer:

C. X = 4

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

1275000

Step-by-step explanation:

102000/0.08=1275000

Answer:

the number is 87

Step-by-step explanation:

the photo contains step by step

Answer:

y = 9

Step-by-step explanation:

We notice that both points have a y-coordinate of 9. Since they are the same, the equation must be y = 9 because the function can't "dip" or "rise", otherwise it would be a piecewise function and not a linear function. The equation y = 9 basically means that no matter what x is, y will always be 9.

Answer:

y = 9

Step-by-step explanation:

First find the slope of the line.  As we go from (-2, 9) to (15, 9), x increases by 17 but y does not change at all.  Thus the line is y = 9, good for all x values.

The solution is : The amount Pearl was charged in interest for billing cycle = $19.8

Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.

here, we have,

Starting balance of Pearl for first 10 days of her 30 days billing cycle =$1120

Purchase made = $ 340

Total Balance after purchase made = $1120 + $340

                                                          = $1460

Payment made after 10 days = $580

Balance for last 10 days = $1460 - $580

                                       = $880

Credit Card APR = 27% Annually

Credit Card APR = 2.25% monthly.

Amount charged as an interest for billing cycle = 880 × 2.25%

                                                                              = 880 × 0.0225

                                                                              =  $19.8

Hence, The amount Pearl was charged in interest for billing cycle = $19.8

To learn more on interest click:

brainly.com/question/29335425

#SPJ5

complete question:

Pearl has a credit card that uses the adjusted balance method. For the first 10 days of one of her 30-day billing cycles, her balance was $1120. She then made a purchase for $340, so her balance jumped to $1460, and it remained that amount for the next 10 days. Pearl then made a payment of $580, so her balance for the last 10 days of the billing cycle was $880. If her credit card's APR is 27%, which of these expressions could be used to calculate the amount Pearl was charged in interest for the billing cycle?

the answer to the problem is 4                                                  

Answer:

4

Step-by-step explanation:

Answer:

87

Step-by-step explanation:

8+7=15

reverse the digits to get 78.

8x6=48

48+30=78

(There are only 4 two-digit numbers that equal 15.  78, 87, 69, and 96. Only 87 fits these qualifications.)

Answer:

6

Step-by-step explanation:

Answer:

point-slope equation of the line through (1,0) and (6,-3). Use Exact Numbers

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex](1,0) =(x_1,y_1),\\ (6,3)=(x_2,y_2))\\\\\frac{y-y_1}{x-x_1}= \frac{x_2-x_1}{y_2-y_1} \\ \\\\\frac{y-0}{x-1} = \frac{6-1}{3-0} \\\\\frac{y-0}{x-1} = \frac{5}{3}\\\\3(y-0)=5(x-1)\\\\3y -0 =5x-5\\\\3y = 5x-5+0\\\\3y = 5x-5\\\\\frac{3y}{3} = \frac{5}{3} x= \frac{5}{3} \\\\y = \frac{5}{3} x= \frac{5}{3}\\[/tex]

Answer:

99 pounds

Step-by-step explanation:

Look at the y-axis and find 45, then go to the right until you reach the line and then pick the answer closest to what you think it is, which would be in this case 99

Answer:

9025

Step-by-step explanation:

95*95

95

*95

-------

9025

● Answer:

b) 24 cm

● Step-by-step explanation:

l + 4 = 2w => l = 2w - 4

5w + 6 = P => 5w + 6 = 2w + 2l

5w + 6 = 2w + 2(2w - 4)

5w + 6 = 2w + 4w - 8

6 + 8 = 6w - 5w

w = 14

l = 2x14 - 4

l = 28 - 4

l = 24 cm

Answer:

496 is the third perfect number.

Divisors : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Answer:

15<13

Step-by-step explanation:

Answer:

1 11/12

Step-by-step explanation:

Notice (right away) that the denominators of the fractions are different (4 and 3).  

Identify the LCD:  It is 12.

Convert the two given numbers to mixed numbers with LCD 12:

3 3/12

-1  4/12

-----------

4/12 is greater in magnitude than 3/12, so we must 'borrow' from the digits' place.  Recall that 1 = 12/12.

Then 3 3/12    =    2 15/12.  -1 4/12 stays the same; it has LCD 12.

Then, perform the indicated subtraction:

2 15/12

-1   4/12

------------

 1  11/12 (answer:  this is the difference "3 1/4 less 1 1/3")

Answer:

x=80

Step-by-step explanation:

because all lines intersect at point E, we could safety say they are equal. therefore, we can also say that angles aef+def=ceg+beg.

we already know what ceg+beg is; 160 and we also know what def is, which is 80.

we set up an equation plugging it in. we will say ceg=x.

x+80=160, subtract 80 on both sides and you get x=80!

hoped this helped :)

Answer:

198

Step-by-step explanation:

198

Answer:

Elsa earned the most

Ben earned the least

Step-by-step explanation:

E = Elsa's speed

B = Ben's speed

C = Cal's speed

The combined speeds are:

E + B = 1/11

E + C = 1/9

B + C = 1/9.9

If we add up all three equations:

2B + 2C + 2E = 10/33

B + C + E = 5/33

If we subtract each of the first three equations from the total equation, we can find the individual speeds.

C = 5/33 − 1/11 = 2/33

B = 5/33 − 1/9 = 4/99

E = 5/33 − 1/9.9 = 5/99

Ben and Cal paint together for 1 hour.  The fraction of the wall they paint is:

(1/9.9) × 1 = 10/99

Elsa, Ben, and Cal all paint together for the next 4.5 hours.  The fraction of the wall they paint is:

(5/33) × 4.5 = 15/22

Ben and Elsa then finish the job.  The amount of wall left is 1 − 10/99 − 15/22 = 43/198.  So the time it takes is:

(43/198) / (1/11) = 43/18 hours

The fraction of the wall that Ben paints is:

(4/99) (1 + 4.5 + 43/18) = 284/891

The fraction of the wall that Cal paints is:

(2/33) (1 + 4.5) = 1/3 = 297/891

The fraction of the wall that Elsa paints is:

(5/99) (4.5 + 43/18) = 310/891

Answer:

Ben earned the most as 6 of 16.5 as a percentage = (6*100):16.5 =36.36%

We check with Elsa and she earned the least as (5*100):16.5 =30.31%

Cal earned the average as 5.5 of 16.5 as a percentage = (5.5*100):16.5 =33.33%

Step-by-step explanation:

E + B = 11hrs    

E + C = 9hrs

B+C = 9.9 hrs

Lets say the house was 100ft sq

if E took 5.5 hrs

B took 5.5hrs  we would have 11

C took  3.5 hrs  we would have 9hrs for E+C

B took 5.5 hrs + 3.5hrs we are 0.9hrs short and see that B would need to take 0.9 more which means E works 0.9hrs less and shares 0.4 less with C having 0.5 less which gives B an extra 0.4 instead of 0.9

This equates to B: 5.9  , C:  3.9 ,  E: 5.1  

We can change to B: 6  , C: 3.94  , E: 5.4  

= E+B =  11.4  = 11  

= E+C = 8.99 = 9  

= B+C = 9.94  = 9.9

Percentages of fixed net pay when B: 6  , C: 3.94  , E: 5.4 = 6+ 3.94+ 5.4 = 100

Time when 15.34 hrs = 100% if working same rate changes to 16.5hrs to account for the hours given 8am-1.30pm 8am-1.30+ 9am-1.30+ =  minimum 1hr more = 2pm

Cal worked 8 am till 1.30 pm = 5.5hrs = 1.66hr extra

Ben worked 8am till 2pm = 6 hrs = 0 hr extra  together worked 11.5hrs

Elsa worked 9am till 2pm = 5 hrs = -0.4hr less

11.5+ 5 = 16.5 This equals 16.5hrs = 100%

Ben earned the most as 6 of 16.5 as a percentage = (6*100):16.5 =36.36%

Cal earned the average as 5.5 of 16.5 as a percentage = (5.5*100):16.5 =33.33%

We check with Elsa and she earned the least as (5*100):16.5 =30.31%   is the same as 100-69.67%

Hey There!!

The answer to this is: The building would be 100ft tall. You have to take 20/6 = ?/30 The difference between 6 and 30 is 5x. Then all you have to do is 20x5 and you get 100 ft.

Hope It Helps!~