Answers
Step-by-step explanation:
please send your teacher some nice greetings from me, as this problem description is very incomplete.
we have to guess and assume a few things.
I assume that for both people there is a function describing how many objects (x and y) are sewn after a given amount of time (t).
and we are only looking at a single work day. and not a week or a year.
so,
x = Taylor(t)
y = Thomas(t)
remember that the domain is the interval or set of valid values for the input variable (the argument of the function). in our case here this is t.
and the range is the interval or set of valid values for the output variable (x and y).
so, the domain for Taylor is the interval of valid work time
[0, 8] in hours. we could also define it in minutes to not get confused, and that would be [0, 480] in minutes.
Taylor's range is then (as he can do 6 per hour = 1 every 10 minutes)
[0, 8×6] or [0, 480/10] = [0, 48].
the domain for Thomas is his valid work time [0, 10] in hours or [0,600] in minutes.
Thomas's range is then (2 per hour or 1 every 30 minutes)
[0, 10×2] or [0, 600/30] = [0, 20]
please pick for the domain the scale (hours or minutes) your teacher prefers. I suspect hours due to the phrasing, but just in case I showed you both.
Domain defines the input interval and range defines the output interval.
Here for both Taylor and Thomas Domain is how many hours they have worked and range for both of them is how many hats and mittens they have produced in their working hour.
Whatis domain and range ?Domain defines the input interval and range defines the output interval corresponding to the domain interval.
In the given question domain of Taylor is (0,8) and each hat takes 10 mins or 1/6 hours
in 1/6 hours Taylor makes 1 hat
so, in (1/6 x 6) = 1 hour taylor will make ( 1 x 6 ) = 6 hats
so in 8 hours Taylor will make (8 x 6) = 48 hats
Range of taylor = (0,48). .(as in 0 hour he will make 0
hats )
Domain of Thomas is 10 hours = (0,10)
Every pair of mittens take 30 minutes or 1/2 hour
so , In 1/2 hour Thomas makes 1 pair of mittens
In(1/2 x 2 ) = 1 hour he will make (1 x 2)= 2 pair of mittens.
In 10 hours Thomas will make (2 x 10 ) = 20 pair of mittens.
The range of Thomas is (0,20). .(as in 0 hour he can make no
pair of mittens)
Learn more about Domain and Range here :
https://brainly.com/question/28135761
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Related Questions
Find the unit rate of sugar to baking powder in the recipe above.
Cookie Recipe: 3 cups flour, 2/3 cup sugar, 1/2 cup butter, 1/4 cup baking powder
Answers
Answer:
2/3 to 1/4, two thirds cup to a quarter cup
Step-by-step explanation:
4/8 x 4/8 i dont care if you answer want to be fwen :)
Answers
Answer:
1/4
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
4/8×4/8
16/64
Principal: 300
Annual Rate: 3%
Time: 4 Years
Interest Earned: ?????
New Balance: ?????
!!!!!SOMEONE PLEASE HELP ME FIGURE OUT INTEREST EARNED AND NEW BALANCE!!!!
Answers
Answer:
Step-by-step explanation:
HI there!
From the question;
Principal (p) = 300
Annual rate (r) = 3%
Time (t) = 4 yrs
Now;
Interest (I) = [tex]\frac{p*t*r}{100}[/tex]
I = [tex]\frac{300*4*3}{100}[/tex]
I = [tex]\frac{3600}{100}[/tex]
Therefore the interest earned is 36.
Again;
New balance (A) = principal + interest
= 300+36
Therefore, the new balance is 336.
Hope it helps!
A group of friends want to go to the amusement park. They have $137.75 to spend on parking and admission. Parking is $15.25, and tickets cost $24.50 per person including tax. Write and solve an equation which can be used to determine x, the number of people who can go to the amusement park.
Answers
Answer:
(137.75 - 15.25)/24.5=x
122.5/24/5=x
5=x
x= number of friends who can go to the amusement park
Step-by-step explanation:
137.75 is the total amount of money.
First, we need to subtract 15.25 because this money is going to be spent on parking.
Once we have our total after subtracting 15.25, all we need to do is divide that number by 24.5 to see the number of people who can go to the amusement park.
Hope this helped!
By solving a linear equation we will see that 5 people can go to the amusement park.
How to write the linear equation?We know that the friends have $137.75, and the parking costs $15.25, so after paying the parking they have:
$137.75 - $15.25 = $122.50
Now we know that each ticket costs $24.50, so if the friends pay for x tickets they will have y money left, given by the linear equation:
y = $122.50 - $24.50*x
To see the number of people that can go to the amusement park we need to solve the above equation for y = $0 (the case where they use all the money).
$0 = $122.50 - $24.50*x
$24.50*x = $122.50
x = $122.50/$24.50 = 5
So with that amount of money, 5 people can go to the amusement park.
If you want to learn more about linear equations, you can read:
https://brainly.com/question/1884491
A company makes pens. They sell each pen for $9. Their revenue is represented by R = 9 x. The cost to make the pens is $3 each with a one time start up cost of $6500. Their cost is represented by C = 3 x + 6500. a) Find the profit, P, (P = R - C) when the company sells 1000 pens. 15500 0-500 O 9000 0-3500 0-9000
Answers
Answer:
-$500
Step-by-step explanation:
C = 3(1000) + 6500
C = 3000 + 6500
C = 9500
R = 9(1000)
R = 9000
P = 9000 - 9500
P = -500
calculate the loan and interest to be paid back if a man borrows 150,000 Naira for 10 years at 5% simple interest
Answers
Answer:
41550
Step-by-step explanation:
What is the largest multiple of 9 whose negation is greater than -100?
Answers
Answer:
99
Step-by-step explanation:
Its negation is greater than -100. Hope this helps!
~Just a joyful teen
[tex]SilentNature[/tex]
Answer:
99
Step-by-step explanation:
What is the slope of the line represented by the equation y = -2/3- 5
Answers
-2/3
slope can also be classified as m in y=mx+b
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]-\frac{2}{3}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
I am assuming that the equation is: [tex]y = -\frac{2}{3}x-5[/tex].
⸻⸻⸻⸻
[tex]\boxed{\text{General Slope-Intercept Form:}}\\\\y = mx+ b\\\rule{150}{0.5}\\\text{m - Slope}\\\text{b - Y-Intercept}\\\rule{150}{0.5}[/tex]
Since [tex]-\frac{2}{3}[/tex] take's m's spot, it is the slope of the equation.⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Determine whether the function is continuous or discontinuous.
Answers
Answer:
it is continues
Step-by-step explanation:
it is continues
Find the values of a and b.
Answers
Step-by-step explanation:
Substitute x=0x=0 to get a3+b2=−56a3+b2=−56 and x=−1x=−1 to get a2+b=−12a2+b=−12 and solve them to get a=−7,b=3
draw a relation diagram for the function f:x= 2(3x-1) where x€{1,2,3,4,5}
Answers
Answer:
f:x=1
Step-by-step explanation:
6x-1=5
6x/6=6/6
f:x=1
An observable characteristic of abnormal body
functioning that medical professionals can
visualize or detect is called what?
a symptom
a sign
a measure
inflammation
Answers
Answer:
a sign
Step-by-step explanation:
How do you close a revenue account?
A)
Credit Capital; debit Revenue
B)
Debit Capital; credit Revenue
C)
Debit Income Summary; credit Revenue
D)
Credit Income Summary; debit Revenue
Answers
Answer:
D)
Credit Income Summary; debit Revenue
The function f(x) is shown in this graph.
The function g(x) = -2x - 5.
Compare the slopes and y-intercepts.
A. The slopes are different but the y-intercepts are the same.
B. Both the slopes and the y-intercepts are different.
C. The slopes are the same but the yintercepts are different.
D. Both the slopes and the y-intercepts are the same.
Answers
The true statement about the functions f(x) and g(x) is (b) B. Both the slopes and the y-intercepts are different.
How to compare the slope and the y-intercept?The function g(x) is given as:
g(x) = -2x - 5
A linear equation is represented as:
y = mx + b
Where m represents the slope, and b represents the y-intercept.
So, the slope of the function g(x) is -2 and the y-intercept is -5
For the function f(x), the slope is calculated using:
m =(y2 -y1)/(x2 - x1)
Using the points on the graph, we have:
m =(3 - 1)/(1 - 0)
Evaluate
m = 2
The line of the function f(x) cross the y-axis at (0,3);
So, its y-intercept is 3
Hence, both functions have different slopes and different y-intercepts
Read more about linear functions at:
https://brainly.com/question/14323743
IS THIS CORRECT? CLASS 6 MATHS!!!!!
Answers
Answer:
63/5
Step-by-step explanation:
The reciprocal of a fraction is basically just the flipped fraction. In this case, you would just flip the numerator with the denominator, giving you 63/5.
Whats the answer? ( Khan Academy ) Also Ill give branliest if its correct!
Answers
Answer:
A is the equavelent expression
Option B
help me please!!!!!!!!!!!!!!
Answers
Answer:
7√ 121
Step-by-step explanation:
Help I’ll give BRAINLIEST
Answers
Step-by-step explanation:
Let's rewrite the original equation as
[tex]y - 2 = 2x + 6 \Rightarrow y = 2x + 8[/tex]
or in standard form, our equation becomes
[tex]2x - y = -8[/tex]
where A = 2, B = -1 and C = -8
Write the equation 5x+y=0 in in slope-intercept form.
Answers
Answer:
y = -5x
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
5x+y = 0
Subtract 5x from each side
5x+y-5x= 0-5x
y = -5x
Enter the values of x, y, and z. The diagram is not to scale.
Answers
Answer:
x = 86
y = 67
z = 94
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180
38 + 56 + x = 180
94 + x = 180 subtract 94 from both sides
x = 86
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle so the value of z:
56 + 38 = 94
again the sum of interior angles in a triangle is equal to 180:
19 + z + y = 180 we found z as 94
19 + 94 + y = 180
113 + y = 180 subtract 113 from both sides
y = 67
To raise funds for uniforms and travel expenses, the soccer team is holding
a car wash in a part of town with a lot of car and truck traffic. The team
spent $90 on supplies like sponges and soap. They plan to charge $10 per
car and $20 per truck. Their goal is to raise $460.
Question: how many cars do they have to wash if they washed t trucks??
Answers
9514 1404 393
Answer:
55 -2t cars
Step-by-step explanation:
The amount raised is the difference between the revenue and expenses. If c cars and t trucks are washed for a profit of $460 after expenses of $90, the equation can be written ...
460 = 10c +20t -90 . . . profit equation
550 = 10c +20t . . . . . . . add 90
550 -20t = 10c . . . . . . . subtract 20t
c = 55 -2t . . . . . . . . . . . divide by 10
They have to wash 55-2t cars if they washed t trucks.
PLEASE HELP ME ITS ALGEBRA THANK YOUUUU
Answers
Answer:
2924
Step-by-step explanation:
2752 ÷ 16 = 172 ← number of points per coin
After collecting 17 points he will have collected
2752 + 172 = 2924 points in total
Answer:
2924
Step-by-step explanation:
Reading Readiness, Inc. has provided you its list of accounts and balances as of January 31. The Controller has asked you to prepare an Income Statement for the month ended January 31. Use the information included in the Excel Simulation and the Excel functions described below to complete the task.
Answers
The preparation of Reading Readiness, Inc.'s multi-step Income Statement for the month ended January 31 is as follows:
Reading Readiness, Inc.
Income Statement
For the month ended January 31
Sales Revenue $175,500
Less:
Sales Returns 4,700
Sales Discounts 6,000
Net Sales $164,800
Cost of Goods Sold 67,700
Gross profit $97,100
Expenses:
Salaries and Wages $25,900
Depreciation Expense 13,800
Rent Expense 24,000
Operating expenses $63,700
Operating income $33,400
Interest Expense 1,600
Income before tax $31,800
Income tax expense 7,700
Net income $24,100
Data and Calculation:
Gross profit percentage = 59% ($97,100/$164,800 x 100)
Thus, the net income after deducting the income tax expense is $24,100.
Learn more: https://brainly.com/question/24257787
People attended the State Fair at a rate of 42 people per minute. How many hours would it take for there to be 15,000 people at the Fair (first find how many minutes it will take)?
Answers
Step-by-step explanation:
42 people per minute
how many minutes for 15000 people ?
well, how often does 42 fit into 15000 ?
15000/42 = 357.1428571... minutes
and since we want to bring in everyone of the 15000, we have to count the fraction of the last minute as minute.
so, we have 358 minutes.
and that is in hours, as 1 hour = 60 minutes
358/60 = 5.9... hours
so, the rounded answer is 6 hours.
A motorboat takes 4 hours to travel 192 kilometers going upstream.
The return trip takes 3 hours going downstream.
- What is the rate of the boat in still water?
- What is the rate of the current?
Answers
Answer:
Step-by-step explanation:
let b be boat velocity
let c be current velocity
(b - c)4 = 192
(b + c)3 = 192
(b - c)4 = (b + c)3
4b - 4c = 3b + 3c
b = 7c
(7c - c)4 = 192
(6c)4 = 192
24c = 192
c = 8 km/hr
b = 7(8) = 56 km/hr
Given matrices A and B shown below, find (−4)A+(−9)B.
Answers
see the answer in the attached picture.
heyyy if you tell me the correct answer I’ll give you’re answer a 5 thanks and brainlest please hurry
Answers
Answer:
29in
pls give brainliest tq
have a great day
hope this is correct <33
HELP SOMEBODY PLEASE I NEED IT NOW HURRY!!!
Answers
Answer:
Rational square root
√144 - 12
√400 - 20
√ 100 - 10
√ 81 - 9
√ 169 - 13
irrational square root
√ 190 - 13 & 14
√ 250 - 15 & 16
√ 120 - 10 & 11
√ 160 - 12& 13
√ 320 - 17 & 18
can anyone help me with question b
Answers
Answer:
nnkbnlkn lk kgkbnlnbkvnbklcnlkbnblknbklv.
Step-by-step explanation:
Ken took 64 minutes to walk 4 miles on flat terrain. If he walked at a constant rate, how long would it take Ken to complete 5 miles?
Answers
Answer: 80 minutes
Step-by-step explanation:in the picture