The tables show the amount earned by James and Paco working at the same store.
What two equations can represent James and Paco's hourly wages, where h is the number of hours worked and d is the amount of money earned?
Compare the equations to determine if there is any difference between what James and Paco make each hour.
Answers
Answer:
Step-by-step explanation:
In order to determine if James and Paco earn different amounts of money per hour, you must find how much money they make in one hour.
James:
James makes $35.40 in 3 hours. So, in 1 hour, he would make 35.40/3 = 11.8.
James makes $11.80 an hour.
Therefore, his equation would be d = 11.8h
Paco:
Paco makes $24.00 in 2 hours. So, in 1 hour, he would make 24/2 = 12.
Paco makes $12.00 an hour.
Therefore, his equation would be d = 12h
Hence, Paco and James make different amounts of money. Paco makes 20 cents, or $0.20, more than James.
Answer:
d(James) = 11.8h
d(Paco) = 12h
Paco makes $0.20/h more than James
Step-by-step explanation:
equation: y = ax + b
James:
d(Amount of money earned) = ah(number of hours worked) + b
If James worked 3 hours: 3a + b = 35.4
If James worked 5 hours: 5a + b = 59
If
3a + b = 35.4
b = 35.4 - 3a
Then
5a + b = 59
5a + 35.4 - 3a = 59
2a = 59 - 35.4
2a = 23.6
a = 23.6/2
a = 11.8
If a = 11.8, then
3a + b = 35.4
3(11.8) + b = 35.4
35.4 + b = 35.4
b = 0
If a = 11.8 and b = 0
d(Amount of money earned) = ah(number of hours worked) + b
d = 11.8h
Each hour James works, he makes $11.8
Paco:
d(Amount of money earned) = ah(number of hours worked) + b
If Paco worked 2 hours: 2a + b = 24
If Paco worked 4 hours: 4a + b = 48
If
2a + b = 24
b = 24 - 2a
Then
4a + b = 48
4a + 24 - 2a = 48
2a = 48 - 24
2a = 24
a = 24/2
a = 12
If a = 12, then
2a + b = 24
2(12) + b = 24
24 + b = 24
b = 24 - 24
b = 0
If a = 12 and b = 0
d(Amount of money earned) = ah(number of hours worked) + b
d = 12h
Each hour Paco works, he makes $12
Related Questions
A doctor replaces the fish tank in her office. Do the fish have more room to swim in the new tank? Find the volume of each tank to find out.
Rewrite the following expression using fractions.
4 • 1 1/2 • 2 1/2
Answers
Gina visited the aquarium with some of her cousins, aunts, and uncles. The group bought 20 admission tickets for $340. Adult tickets cost $20, and children’s tickets cost $15. How many adult tickets and how many children tickets did the group buy?
Write a system of equations.
Answers
Answer:
Look at the attachment
Step-by-step explanation:
There are 12 children tickets did the group buy.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The group bought 20 admission tickets for $340.
And, Adult tickets cost $20, and children’s tickets cost $15.
Let number of children = x
And, Number of adult = y
Hence, We get;
The system of equations are,
x + y = 20
y = 20 - x .. (i)
And, 15x + 20y = 340
3x + 4y = 68 .. (ii)
Substitute the value of y from (i) in (ii);
3x + 4(20 - x) = 68
3x + 80 - 4x = 68
80 - 68 = x
x = 12
Thus, There are 12 children tickets did the group buy.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ3
please help me,, you have to include an explanation !!
Answers
Answer:
1152 ft^2
Step-by-step explanation:
There are 7 faces on this solid.
I will label the faces and will calculate each area with an explanation.
Faces 1 and 2:
The front face and the back face are congruent and have 5 sides each. Each face is a rectangle with a triangle above it. The lower rectangular part has dimensions 9 ft by 12 ft. The triangle above the rectangle has base 9 ft and height 16 ft - 12 ft = 4 ft.
Each face is a rectangle and a triangle.
area = area of rectangle + area of triangle
area = LW + bh/2
area = 9 ft * 12 ft + 9 ft * 4 ft/2 = 108 ft^2 + 18 ft^2 = 126 ft^2
This is area of of face 1, the front face. Face 2, the rear face has the same area.
A1 = 126 ft^2
A2 = 126 ft^2
Face 3: The bottom of the solid is a rectangle measuring 9 ft by 20 ft
area = LW
area = 9 ft * 20 ft = 180 ft^2
A3 = 180 ft^2
Faces 4 and 5:
The left vertical face and the right vertical face are congruent rectangles measuring 12 ft by 20 ft.
area = LW
area = 12 ft * 20 ft = 240 ft^2
A4 = 240 ft^2
A5 = 240 ft^2
Faces 6 and 7 are the top right and left inclined rectangles. They are congruent, and each one has dimensions 6 ft by 20 ft.
area = LW
area = 6 ft * 20 ft = 120 ft^2
We need 2 of these area.
A6 = 120 ft^2
A7 = 120 ft^2
total surface area = A1 + A2 + A3 + A4 + A5 + A6 + A7
total surface area = 126 ft^2 + 126 ft^2 + 180 ft^2 + 240 ft^2 + 240 ft^2 + 120 ft^2 + 120 ft^2
total surface area = 1152 ft^2
GUYS, PLEASE ANSWER MY QUESTION! Please it's due today, everybody else got their questions answered! Listen to me!
Jayden used a Groupon at the local pizza shop. Instead of paying $15, for the pizza, he paid $12.
Haley and Arianna agree that the percent of decrease is 20% but their explanations differ. Haley says to find the 20%, you have to determine what percent of 15 is 12. Arianna thinks you have to determine what percent of 15 is 3. Who is correct?
Answers
Answer:
Arianna is correct
Step-by-step explanation:
She is correct because they need to find how much is the discounted price, which is 3. So to see what percentage it is, they need to see how much 3 is worth in comparison to 15. If we spilt 15 into 5 parts to make every part worth 20%, the answer would be 3. Thus Arianna is correct.
help me please thank you sm
Answers
Pls answer asp
Which values of a, b, and c correctly represent the answer in simplest form?
- 38,- 14.0=1
-1.6- 14.c. 38
-1.6-7.-19
- 19, 6-7,col
Answers
Answer:
i would help but its after 5 so its my bedtime lol
Step-by-step explanation:
Two more than a certain number is 15 less than the product of
7/8 and the number.
PLEASE HELP ME!
Answers
Answer:
-134
Step-by-step explanation:
Hope this helps! :D
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Answers
Candice's mother gave her $75.38 to go to the store. Candice bought
4 loaves of bread and 3 cartons of orange juice. Each loaf of bread cost
$2.45 and each carton of orange juice cost $4.55. How much money
does Candice have left?
Answers
Answer: Candice has $51.93 left after going to the store
Step-by-step explanation:
4 loaves of bread cost $9.80 and 3 cartons of orange juice cost $13.65. In total it cost $23.45. $75.38 - $23.45= $51.93
Answer:
Candace would have $51.93.
Step-by-step explanation:
The four loaves of bread would cost $9.80
The three cartons of juice would cost $13.65
Add these up and we get $23.45
Subtract this from $75.38, and we get the answer of $51.93
hello, if u can then please help me
Answers
Answer:
Step-by-step explanation:
1) 8 * (9+1) = 80 / 2^2 = 80/4 = 20
2) (5)^2 - 15 = 25-15 = 10
3) 28-3(4) + 9 = 28-12+9 = 25
Answer:
1. 20
2. 10
3. 25
Step-by-step explanation:
I am not the best at these, so I did them all on ma th way. Hope you don't mind...
1.) Mr Rick can eat 12 dove chocolates every time Mr. Jones eats 7.
2.) Mr. Jones and Mr. Brown had a hot dog eating contest. For every 3 hotdogs Mr. Jones ate, Mr. Brown could eat 5. What is the ratio to Mr. Brown and the total hot dogs in all?
Answers
Answer:
12:7 and 5:8
Step-by-step explanation:
first one just put the 2 together and the second one you have mr. brown and then the second number add the 2
Tamanika received a raise in her hourly pay, from $14.00 to $19.18. Find the percent change.
Answers
Answer:
37% increase
Step-by-step explanation:
(V2−V1)|V1|×100
=(19.18−14)|14|×100
=5.1814×100
=0.37×100
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The transformation is a rotation
•
•
The transformation is a reflection
•
•
Answers
Find each difference
1:9 — 4
2:4 — 9
3:9 — (-4)
4:-9 — (-4)
5:-9 — 4
6:4 — (-9)
7:-4 — (-9)
8:-4 — 9
Answers
-5
5
-5
-13
5
Explain:
Um tell me if you want me to
Answer:
-9
Step-by-step explanation:
IF YOU R GOOD AT CALCULUS PLZ HELP AND IF U STEAL POINTS YOU GET REPORTED
If an object is dropped from a height of 55 feet, the function d=-16t^2+55 gives the height of the object after t seconds. Graph this function. Approximately how long does it take the object to reach the ground (d= 0)?
Answers
Answer:
To find the time to reach ground solve - 16t^2 + 55 = 0
t^2 = 55/16
t = sqrt55 / 4 = 1.85 seconds
Step-by-step explanation:
Find the equation of the line given the following information: (write is as y=mx+b) (m is the slop and b is the y-intersect)
A line goes through the points (0,5) and (7,1)
Answers
Answer:
-4/7 x + 5
Step-by-step explanation:
if you want the explanation comment below :)
f(x) = 6x² and g(x) = 14x + 4
Solve:
(g o f)(2) =
please show work
Answers
Answer:
Step-by-step explanation:
Use your knowledge about parentheses and substitution to solve the following:
1. r(s)(t) =
2. (r)(s)(t)(x)(y) =
3. (7x + 2Y) =
Answers
Answer:
3x+y
Step-by-step explanation:
need help.................................
Answers
Hope this helps :)
Jennifer's bill for lunch was $15.00
If Jennifer left a 20% tip, which proportion would BEST represent how to find how much tip she should leave?
A. x/15 = 100/20
B. x/15 = 20/100
C. 15/x = 20/100
D. 20/x = 15/100
Answers
Answer:
a
Step-by-step explanation:
What is the value of b. If A+B=C and A=35 and C=25
Explain how you got this answer
Answers
Answer:
[tex]B=-10[/tex]
Step-by-step explanation:
Hi!
So let's write the equation again
[tex]A+B=C[/tex]
The next step is to plug in known values:
[tex]35+B=25[/tex]
Now we solve this as a normal algebra equation:
Do same to both sides
[tex]B = 25-35[/tex]
[tex]B=-10[/tex]
I hope this helped. Let me know if you have any questions
The Wagner school store is having a sale! At the sale this week, a life sized stuffed animal of Wagner’s mascot is being sold for $158.40. This is a 52% discount of the original price. What is the original price? If necessary, round to the nearest cent.
Answers
Answer:
$82.27
Step-by-step explanation:
$158.40*52% = (158.40)(52)/100 = 82.27
1/2 + 2/3 =
8/ 12 + 8 /11 =
2/7 + 6/10=
Answers
Answer:
1/2 + 2/3 = 1 1/6
8/12 + 8/11 = 1 13/33
2/7 + 6/10 = 31/35
Simplify these exponents
1) 4^2
2) 6^2
3) 5^3
4) 2^6
Answers
Answer:
1.) 16
2.) 36
3.) 125
4.) 64
Step-by-step explanation:
multiply the base however many time it says so 4^2= 4*4=16 2^6=2*2*2*2*2*2=64
Answer:
Aight so...
1) 16
2) 36
3) 125
4) 64
Step-by-step explanation:
So when you have a number being squared or with an exponent of 2, all you're doing is multiplying it by itself. Same thing if it's being cubed, or it has an exponent of 3. You'll multiply it by itself 3 times. For example, 6^2 is 36 because 6 x 6 is 36. Hope this helps, I dunno if it did but I hope so ^^
Can someone help me with my homework
Answers
Answer:
i need a better pic but i can help you
Step-by-step explanation:
Zoe was given a box of assorted chocolates for her birthday. Each night, Zoe treated herself to some chocolates. Zoe ate 2 chocolates each night and there were originally 18 chocolates in the box. Make a table of values and then write an equation for C,C, in terms of t,t, representing the number of chocolates remaining in the box tt days after Zoe's birthday.
Answers
Answer:
4 time 3 eqauls 12 plus 12 eqauls 24
Step-by-step explanation:
What is the area of the composite figure?
Answers
Answer:
i think a
Step-by-step explanation:
Answer: I think the answer is A Not sure
Step-by-step explanation:
what is the area of this trapezoid?
Answers
Solve for y.
6y-1.5x=8
Answers
Answer: Y = 0.25x + 4/3
Step-by-step explanation:
Step 1: Add 1.5 to both sides
-1.5x + 6 + 1.5x = 8 + 1.5x
6y = 1.5x + 8
Step 2: Divide both sides by 6
6y/6 = 1.5x + 8/6
Y = 0.25x + 4/3
a linear function contains the following points. what are the slope and y-intercept of this function?
Answers
Answer:
The answer is C, slope is -1 and y intercept is (0, 6)
