Answers
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
Related Questions
Please help! I suck at math ;-;
Answers
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 :)
What is 95×95 using mental math?
Answers
Answer:
9025
Step-by-step explanation:
95*95
95
*95
-------
9025
Joshua sold his bike for 10% less than he paid for it. If he sold his bike $585, how much did he pay for it.
Answers
$650
Step-by-step explanation:90% .............. $585
100% ............ $ x
x = 100×585/90
= 58500/90
= $650
Answer:527.5
Step-by-step explanation:
585-585×10%
585-58.5
527.5
What is the solution to -13 × X = -52? A. x = -13 B. x = -4 C. x = 4 D. x = 13
Answers
Answer:
C. X = 4
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
What is the 3rd perfect number and what are its divisors?
Answers
Answer:
496 is the third perfect number.
Divisors : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
i would like step by step explanation
Answers
Answer:
the number is 87
Step-by-step explanation:
the photo contains step by step
102,000 is 8% of what number? HELP!!!!!!!!!!
Answers
Answer:
1275000
Step-by-step explanation:
102000/0.08=1275000
The Painter siblings, Elsa, Ben and Cal paint houses. They have been in the business so long that each knows exactly how many square feet each other paints in one hour and these rates never change. For their latest job, they calculated that if Elsa and Ben did the job together, it would take exactly 11 hours. On the other hand, if Elsa and Cal did the job together, it would take exactly 9 hours. Finally, Ben and Cal could do it in exactly 9.9 hours (or if you prefer, 9 hours and 54 minutes). They decided all three would paint this particular house. Ben and Cal started the job at 8 AM and Elsa joined them at 9:00. Cal left at 1:30 and so Ben and Elsafinished the job. After deducting the supply costs (paint etc.), the brothers split the net profit based on what percentage of the total square footage each painted. Who earned the most and who earned the least for this job?
Answers
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%
In 2003, the population of an African country was about 7.8 million people, which is 1 million more than 4 times the population in 1950.
Answers
If an item weighs 45 kilograms, what is its weight in pounds? 20 63 90 99
Answers
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
describe the pattern, indicate if the sequence is increasing or decreasing or neither, and list the next three terms for .25, .5 and 1, please
i need the answer rn please no pressure
Answers
Answer:
See explanation
Step-by-step explanation:
You can see that each time the number is doubling cuz 0.25 times 2 is 0.5 and so on. So now we know that the numbers are increasing so the next 3 terms have to be 2,4, and 8
Answer 123
Step-by-step explanation:
Describe the process you would use to find the solution to the problem 3 1/4 minus1 1/3. Express your answer numerically and with a graphical representation.
Answers
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")
3 3/12 - 1 4/12=
2 15/12 - 1 4/12=
1 11/12
The box plot shows the number of years during which 16 schools have participated in a marching band competition: A box plot is titled Years of Participation and labeled Years. Number line from 0 to 10 with primary markings and labels at 0, 5, and 10. The box extends from 3 to 7 on the number line. There is a vertical line at 5. The whiskers end at 1 and 10. At least how many schools have participated for 3 to 7 years? (4 points) 3 schools 5 schools 7 schools 8 schools
Answers
the answer to the problem is 4
Answer:
4
Step-by-step explanation:
a 20-foot flagpole casts a 6-foot Shadow how tall is a nearby building that casts a 30-foot shadow
Answers
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!~
i need step by step explanation for this!!
Answers
Hello! :)
Answer:
[tex]\huge\boxed{751}[/tex]
Let the smallest digit, or the units' digit, be equal to x:
Tens' digit is four more, therefore:
x + 4 represents the tens' digit.
Hundreds' digit is 2 more than the tens' digit, so:
2 + (x + 4), or x + 6 represents the hundred's digit.
These all sum up to 13, so write an expression to represent this:
x + (x + 4) + (x + 6) = 13
Combine like terms:
3x + 10 = 13
Subtract 10 from both sides:
3x = 3
Divide both sides by 3:
x = 1
Find the digits using the rules listed above:
Hundreds' digit: (1) + 6 = 7
Tenths' digit: (1) + 4 = 5
Units' digit: 1 = 1
Therefore, the number is:
751.
This is my answer according to my calculation.
On Tuesday, the Soto Salad restaurant served 612 cups of Italian salad dressing. If the restaurant serves 14 cup of dressing with each salad, how many salads were ordered with Italian dressing?
Answers
612/14 then round up
Complete the point-slope equation of the line through (1,0) and (6,3). Use exact numbers. y-(-3)=
Answers
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]
PLEASE HELP I NEED ANSWER SOON
Answers
Answer:
y = 6x
Step-by-step explanation:
So for this we simply find a x and y coordinate (ex. (10, 60))
Since we see that the y coordinate is 6 times of the x coordinate, we know that the equation for this proportional relationship is y = 6x.
Hope this helps!
What is the answer of 91.5 divided by 2.44 a.3.75 b.4.511 c.37.5 d.45.11
Answers
Answer:
C
use long division to solve if you need to show your work.
91.5/2.44
= 37.5
please help me answer
Answers
Answer:
You would do the division first.
256 / 16 = 16
so, we have to determine 80 -16 +8
equals 72
Step-by-step explanation:
Answer:
The answer is 56
Step-by-step explanation:
To answer the equation, you must do the order of operations. Which is PEDMAS.
P= Parenthesis
E= Exponents and Radicals
M= Multiply
D= Divide
A= Add
S= Subtract
Always multiply, divide, add or subtract from left to right.
Because the equation is: 80 - 256 ÷ 16 + 8.
Your equation should be:
80 - 256 ÷ 16 + 8
= 80 - 16 + 8
= 80 - 24
= 56
I hope this helps! I'm sorry if it's wrong or complicated.
Please Hurry!!!!!!
A triangle has an area of 52.92 square centimeters and a height of 10.8 centimeters. What is the length of the base?
Answers
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
i need you guys to check if im correct! if not, show me step by step explanations
Answers
● 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
Hurry pls Its timed
What is the equation of the line that passes through the points (15, 9) and (Negative 2, 9)? y =
Answers
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.
Solve the inequality |x+3| - 2>9
Answers
Answer:
x < - 14 or x > 8Step-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
x < - 14 or x > 8Hope 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
Norma 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 $1850. She then
made a purchase for $160, so her balance jumped to $2010, and it remained
that amount for the next 10 days. Norma then made a payment of $930, so
her balance for the last 10 days of the billing cycle was $1080. If her credit
card's APR is 29%, which of these expressions could be used to calculate the
amount Norma was charged in interest for the billing cycle?
Answers
The solution is : The amount Pearl was charged in interest for billing cycle = $19.8
What is interest?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?
6^9 / 6^3 Please simplify I need help
Answers
Answer:
6^6
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)/(a^c) = a^(b-c)
In this problem, that means ...
(6^9)/(6^3) = 6^(9-3) = 6^6
__
It can help to remember that an exponent signifies repeated multiplication. Written out without exponents, the problem is ...
[tex]\dfrac{6\cdot6\cdot6\cdot6\cdot6\cdot6\cdot6\cdot6\cdot6}{6\cdot6\cdot6}=6\cdot6\cdot6\cdot6\cdot6\cdot6=6^6[/tex]
Note that the 3 instances of 6 in the denominator cancel 3 from the numerator. Clearly, the effect is the same as subtracting exponents.
Answer: 6^6
Step-by-step explanation: Formula - (a^b)/(a^c) = a^(b-c)
keeping the formula in mind;
= 6^9/6^3= 6^(9-3)
= 6^6
I need help arranging cards in a 4 x 4 grid with numbers 1-9 so that the sum of each row and each column is 20. This what the grid looks like:
Answers
Answer:2
Step-by-step explanation:
I think
I would like step by step explanation for this problem :) thank you
Answers
Answer:
the number is 74
Step-by-step explanation:
the photo contains a step by step
Melanie works at the local animal shelter after school. The table below shows how much money she earned and the number of hours she worked. How much does Melanie earn per hour? A) $16.00 B) $4.00 C) $8.00 D) $32.00
Answers
Can someone please give me a good explanation of how to work this out! 15 points for a good answer.
Answers
= 26,(6)
≈ 26,7
Step-by-step explanation:C = 5/9(F - 32)
= 5/9(80 - 32)
= 5/9(48)
= 5×48/9
= 240/9
= 26,(6)
≈ 26,7