The graph below models the late fee for overdue books at the library what is the unit rate for the cost of an overdue book at this library?
A)$2 per day
B)$4.50 per day
C)$0.50 per day
D)$1 per day
Answers
Answer:
The answer is C. $0.50 per day .
Hope this helps
Option C is correct, $0.50 per day is the unit rate for the cost of an overdue book at this library.
The unit rate is the cost per one unit of a given quantity.
In this case, it's the cost of an overdue book per day.
In the given graph models the late fee for overdue books, you can find the unit rate by identifying two points on the graph and calculating the slope between those points.
Suppose you have two points on the graph: (x₁, y₁) and (x₂, y₂), where x represents the number of days the book is overdue, and y represents the corresponding late fee in dollars.
The formula for calculating the slope (m) between two points is:
m = (y₂ - y₁) / (x₂ - x₁)
Let us take two points from graph: (4, 2) and (6, 3)
Unit rate = 3-2/6-4
=1/2
=0.5
Hence, $0.50 is the unit rate for the cost of an overdue book at this library. Option C is correct.
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Related Questions
Carol invested $2,560 into two accounts. One account paid 6% interest and the other paid 8% interest. She earned 7.25% interest on the total investment in one year. How much money did she put in each account? Use the general formula, I=Prt, to model simple interest applications, where I is equal to the interest, P is equal to the product of the principal, r is equal to the rate, and t is equal to the time.
Answers
Answer:
The amount she put in the account that paid 6% interest = x = $960
The amount she put in the account that paid 8% interest = y = $1600
Step-by-step explanation:
Carol invested $2,560 into two accounts. One account paid 6% interest and the other paid 8% interest. She earned 7.25% interest on the total investment in one year.
I=Prt, to model simple interest applications, where I is equal to the interest, P is equal to the product of the principal, r is equal to the rate, and t is equal to the time.
Step 1
We have to calculate the total interest earn on the initial capital
P = $2,560
R = 7.25% = 0.0725
T = 1
I = $2,560 × 0.0725 × 1
I = $185.60
Let the amount Invested in the account that paid 6% interest = x
Let the amount Invested in the account that paid 8% interest = y
Hence:
$185.60 = x × 6% + y × 8%
$185.60 = 0.06x + 0.08y......Equation 1
$2560 = x + y........ Equation.2
x = $2560 - y
$185.60 = 0.06x + 0.08y......Equation 1
185.60 = 0.06(2560 - y) + 0.08y
185.60 = 153.6 - 0.06y + 0.08y
185.60 - 153.60 = 0.02y
y = 32/0.02
y = $1600
x = $2560 - y
x = $2560 - $1600
x = $960
The amount she put in the account that paid 6% interest = x = $960
The amount she put in the account that paid 8% interest = y = $1600
alr please help add: 21 / 100 + 6/10 =
Answers
Answer:
The answer is 81/100.
Step-by-step explanation:
Multiply the denominator of the second fraction by 10 to get 100, then the numerator as well to get 60. Now that you have 21/100+60/100, all you have to do is add.
what is the image of(8,12) after a dilation by a scale factor of 1/4 centered at the origin?
Answers
The image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.
What is dilation?Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased. The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.
Given that the image of (8,12) after dilation by a scale factor of 1/4 centered at the origin.
The image of the dilated point will be:-
x : - 8 ⇒ 8 / 4 = 2
y : - 12 ⇒ 12 / 4 = 3
Therefore, the image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.
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Write 9.84 as a mixed number in simplest form
Answers
Answer:
[tex]9\frac{21}{25}[/tex]
Step-by-step explanation:
Simplify the 0.84. It is 84/100, or divided by 4, it is 21/25.
Hope this helped! :))
Answer:
Step-by-step explanation:
Mixed numbers are a whole number and a fraction together
sooo 9.84= 9 84/100 but we can reduce 84 /100 to 42/50 and that can be reduced to 21/25
so write 9 21/25
12=6x+3y solve for y
Answers
Answer:
1 1/3 = y
Step-by-step explanation:
12 = 6x + 3y
12 = 9y
12/9 = y
1 1/3 = y
Hope this helped!
A jacket costs $34.85 plus sales tax. After sales tax, the jacket costs $37.29.
What is the approximate sales tax rate?
Answers
37.29 = 34.85 + 34.85(x)
Solving:
37.29 = 34.85 + 34.85x
2.44 = 34.85x
x = 0.07
The approximate sales tax rate is 7%.
Answer:
the approximately sales tax rate is 7%
a group of hikers begin in an elevation of -29 feet below sea level. they travel up a mountain side until they were on an elevation of 245 feet abos sea level. what was the total change in elevation for the hikers?
Answers
Answer:
-28
Step-by-step explanation:
Level 5a: The marching band is selling hats for $7 and t-shirts for $15. The band’s fundraising goal is $600. The equation to represent the situation is 7x + 15y = 600. Find the x and y intercept and clearly identify which is which. Round to the nearest tenth.
Answers
Answer:
7
x
+
15
y
=
600
Find the x-intercepts.
Tap for more steps...
x-intercept(s): (6007,0)
Find the y-intercepts.
Tap for more steps...
y-intercept(s): (0,40)
List the intersections.
x-intercept(s): (6007,0)
y-intercept(s): (0,40)
Step-by-step explanation:
Two thirds of 148 seventh
graders buy their lunch at
school. How many students
is this?
Answers
Answer:
if you round, its 99. if you ignore the decimal, its 98
Step-by-step explanation:
2/3 of 148 is 98.66
A camp counselor has a list of 134 campers who signed up for art class. The counselor can place 8 students in each class. How many classes does the counselor need to have?
Answers
Answer:
17
Step-by-step explanation:
the answer would have been 16.75 but you cant divide a class, so you round up.
The lines represented by the equations y = -X – 3 and
5y + 5x = -15
Answers
Answer:
your y= is
y−intercept=− 1 /3 =−3.00000
Step-by-step explanation:
Drag numbers to complete the table for missing values of x, x2, and x3.
Answers
Answer:
Values are:
x x²
10 100
5
which angle pairs are congruent? Select all that apply
Answers
Answer:
Step-by-step explanation:
The first and last one
can ya'll do my math homework too pleaseee? again I'll give brainliest and be rlly happy.
also you gotta write show all the work you did to get the answer cuz my math teacher keeps yelling at me to do that.
f + 6 = -3
-3x = 21
2x + 6 = -12
15 - 3r = -45
21 + 3y = 5y + 8 - 2
3(2x - 1) = 4
-5(f - 3) = 2 - 3(2f - 2)
x + 1/2 = x - 3/7
7x + y + 8 = 0
2x + 2y + 6 = 0
6x - 4y + 8 = 0
Danny parks his car at a parking lot for a flat fee of $2.00 plus $0.25 per hour that his car is parked.
a) Write an equation to represent Danny's total parking cost, C, in dollars, for t hours.
b) How much will it cost Danny to park his car for a full 24 hours?
c) If Danny has $6, for how many hours can he park his car in the parking lot?
Jodi wants to buy a book that costs $18 before taxes. The taxes are 13% HST.
a) Write an equation for the total cost, C, after taxes for a book that costs r dollars.
b) Find the total cost of the book after taxes.
c) Suppose the cost of another book after taxes is $36.80. What was the total cost of the book before taxes?
ya I know it's a lot but I'd rlly appreciate it if ya'll could do at least some of it. I'm like drowning in over due assignments and it's not cute.
thank youuuu
Answers
Answer:
1. f = -9
2. x = -7
3. x = -9
4. x = -20
5. y = 7.5
Step-by-step explanation:
Hope this helps
14+14 plaxdivu nfnvhwijqco n uhfen uew9 nfh nf hfn feuh
Answers
Answer:
28?
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
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..................................................................................................dotty gangz .............................................................................
------------MAKE SOME NOICEEEEE --------
!!! 3ill MoB !!!
Find the perimeter or circumference and area of each figure if each unit on the graph measures
1 centimeter. Round answers to the nearest tenth, if necessary.
Answers
Answer:
Circumference of the circle = 17.8 units
Area of the circle = 25.1 square unit
Step-by-step explanation:
Formula to get the circumference of a circle = 2πr
Where r = radius of the circle
Radius of the given circle = Distance between the points A(2, 3) and B(4, 1)
r = [tex]\sqrt{(2-4)^2+(3-1)^2}[/tex]
r = [tex]2\sqrt{2}[/tex] units
Therefore, circumference = 2π(2√2)
= 17.77
≈ 17.8 units
Area of the circle = πr²
= π(2√2)²
= 8π
= 25.13
≈ 25.1 square unit
Write the equation of a line with the slope -3 and y-intercept of 5
O y = 5x + 3
O y = -5x + 3
O y = 5x - 3
O y = -3x + 5
Answers
Answer:
[tex]\fbox{y = -3x + 5}[/tex]
Step-by-step explanation:
You are given the slope and the y-intercept of the line; so you can substitute these values into slope-intercept form: [tex]y=mx+b[/tex];
where [tex]m= \ $slope = -3[/tex]and [tex]y-$int = 5[/tex]Plugging these values into slope-intercept form gives:
[tex]y=(-3)x+(5)[/tex][tex]y=-3x+5[/tex]Another way to find the slope-intercept form of a line given the slope and a point:We are given the slope and a point that the line passes through, so we can use the point-slope equation to find the slope-intercept form of the line.
The point that the line passes through is the y-intercept: [tex](0,5)[/tex].
Point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]where [tex](x_1, \ y_1)[/tex] are the coordinates of the point that the line passes through and [tex]m= $ slope of the line.[/tex]
Substitute [tex]m=-3[/tex] and [tex](0,5)[/tex] into the point-slope form equation.
[tex]y-(5)=-3(x-(0))[/tex]Simplify the equation on both sides.
[tex]y-5=-3(x)[/tex]Add 5 to both sides of the equation.
[tex]y=-3x+5[/tex]This is in slope-intercept form: [tex]y=mx+b[/tex], so we are done.
The answer is [tex]D) \ $y = -3x+5[/tex].
Help me please now...
Answers
Answer:
see below
Step-by-step explanation:
sqrt(24) = sqrt( 4*6)
sqrt( 4) sqrt(6)
2 sqrt(6)
Scott High School is holding a fundraiser and plans to use 1/2 of the money collected to build a new library. Of the money directed towards building the new library, 5/8 will go towards purchasing computers. What fraction of the money raised will go towards purchasing computers for the library?
Answers
Answer:
[tex]Computer = \frac{5}{16}[/tex]
Step-by-step explanation:
Given
[tex]Library = \frac{1}{2}[/tex]
[tex]Computers = \frac{5}{8}[/tex] of library.
Required
Determine the fraction going towards computer purchase.
We have:
[tex]Computers = \frac{5}{8}[/tex] of library.
This can be rewritten as:
[tex]Computers = \frac{5}{8}[/tex] * library.
Substitute [tex]Library = \frac{1}{2}[/tex]
So, we have:
[tex]Computer = \frac{5}{8} * \frac{1}{2}[/tex]
[tex]Computer = \frac{5}{16}[/tex]
Hence:
The fraction is [tex]\frac{5}{16}[/tex]
Does the equation y=-2x-3 represent a linear function
Answers
Answer:
For example, the linear equation 3y + 2x = 6 has an x intercept when y = 0, so 3(0) + 2x = 6. The x-intercept is (3, 0). Likewise the y-intercept occurs when x = 0. The y-intercept is (0, 2).
...
Graph the linear equation y + 3x = 5.
x values 5 – 3x
Step-by-step explanation:
hope this helps
Hi! I've been stuck on this for awhile although it seems so easy I can't get by it :/
Answers
Answer:
x > -17/6 or x < -1/2
Step-by-step explanation:
4 |3x + 5| + 20 > 6
4 |3x + 5| > -14
|3x + 5| > -14/4
This is where the two equations split.
+:
3x + 5 > -14/4
3x > -17/4
x > -17/6
-:
- (3x + 5) > -14/4
3x + 5 < 14/4
3x < -3/2
x < -1/2
Supposedly these are your answers, but if I'm incorrect, please let me know. I don't see an option for you on that picture though.
solve the inequality 809>-11+5/8n write the solution in set notation
Answers
Answer:
-798>n
Step-by-step explanation:
emilythompson35464
hope this helps srry if it doesn't tho
Answer:
1312
Step-by-step explanation:
i just did it and got it right
a shape is shown on the graph
Which of the following is a reflection of the shape
Answers
Answer:
one reflection would be (-2, -2) (-2,-4) and (-6, -2)
Step-by-step explanation:
Hope this helps
One positive number is one-fifth of another number. The difference between the two numbers is 328, find
the numbers.
Answers
Answer:
The numbers are 410 , 82
Step-by-step explanation:
Let the another number be x
Positive number = [tex]\frac{1}{5}x[/tex]
Their difference = 328
[tex]x - \frac{1}{5}x=328\\\\\frac{x*5}{1*5}-\frac{1}{5}x=328\\\\\frac{5x-x}{5}=328\\\\\frac{4x}{5}=328\\\\x=328*\frac{5}{4}\\\\x=82*5\\[/tex]
x = 410
Positive number = [tex]\frac{1}{5}*410=82[/tex]
The numbers are 410 , 82
· Yolanda deposited $3,547 into an account that earns 4.5%
simple annual interest. Calculate the interest Yolanda will earn
after 6 years. How much will Yolanda have in her account after 6
years?
Answers
Answer:
$4,504.69
Step-by-step explanation:
20 POINTS and BRAINLEST
Find the sum. Include all calculations in your answer.
-4 5/8 + 2 1/8
Answers
Answer:
-2.5
Step-by-step explanation:
-4 5/8 = -4.625
2 1/8 = 2.125
-4.625 + 2.125 = -2.5
Answer:
-20/8 or -2 1/2
Step-by-step explanation:
-4 5/8 + 2 1/8
Convert mixed numbers into improper fractions
-37/8 + 17/8
Add the numerators but NOT the denominators
Final Answer: -20/8 or -2 1/2
can i get brainiest
the question is in the photo
Answers
Answer:
yes
Step-by-step explanation:
half of x which is 4 = y which is 2
you keep doing that with the rest of the xs and ys
Megan scored 80% on a test. She got 20 questions correct. How many questions were on the test?
Answers
Answer:
25
Step-by-step explanation:
I'm writing this to get to the 20 character minimum
Answer:
26 Questions
Step-by-step explanation:
[-4.5 + 12] = what is the anserw
Answers
Answer:7.5
Step-by-step explanation:
Answer:
The answer will be 8.5
Determine the percentage of increase/decrease of the following exponential equation.
y = 4(1.75)x