Mathematics High School

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

The Graph Below Models The Late Fee For Overdue Books At The Library What Is The Unit Rate For The Cost

Answers

Answer 1

Answer:

The answer is C. $0.50 per day .

Hope this helps

Answer 2

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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https://brainly.com/question/29180656

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Related Questions

Suppose a person starts the day by drinking 3 cups of coffee containing 130 mg of caffeine EACH.

Let C = mg of caffeine remaining in the body and let t = hours since the 390 mg of caffeine was consumed. Write a function C(t) that expresses the amount of caffeine remaining in the body as a function of time.

Answers

Answer:

C = t * 3

Step-by-step explanation:

I need help3

Find the unit rate:

150 students for 5 classes. How many students per class?

Answers

Answer:

30

Step-by-step explanation:

150 divided by 5 is 30 i hope this helps

Answer:

The unit rate would be 30 students per class.

Step-by-step explanation: One way to find the  unit rate in this scenario, we could divide the total students by the number of classes. (150/5) The simplified fraction would be 30/1, or 30 students per class. Hope this helps!

Which table shows a function that is increasing only over the interval (-2, 1), and nowhere else?
X
-3
-2
-1
0
1
2
f(x)
-6
43
-1
1
3
6
х
-3
-2
1-1
0
1
2
f(x)
-2
14
-1
1
4
3
х
L3
-2
-1
0
1
2
f(x)
-3
--5
--7
-6
1
-1
O
х
4-3
-2
-1
0
1
2
f(x)
5
7
1
0
-4
-2

Answers

Answer:

B

Step-by-step explanation:

-3+-4^2 divided by 2

Answers

Answer:

The answer to your question is -11

Answer:

-11

Step-by-step explanation:

Hope this helps! ^-^

Plz anwer i give 30 points or 20

Answers

Answer:

x = -6

hope this helps!

Answer:

the answer should be letter B your welcome ;)

Step-by-step explanation:

What is the value of the expression x  exponent 2 when x = 4/5

Answers

x^2 would be substituted, (4/5)^2 so square them 16/25

Suppose a parabola has vertex (6, -3) and also passes through the point (8,5).

Write the equation of the parabola in vertex form.

(Answers are given in photo)

10 points!!! Please help.

Answers

Answer: D. y = 2(x - 6)^2 - 3

Step-by-step explanation: see attachment. i hope this helped :)

The equation of the parabola that has vertex (6, -3) and also passes through the point (8,5) is [tex]y = 2(x - 6)^2-3\\[/tex]

The vertex form of the equation of a parabola is:

[tex]y = a(x - h)^2 + k[/tex]

where the vertex = (h, k)

The given vertex, (h, k) = (6, -3)

The line passes through the (8, 5)

x  =  8,  y  =  5

Substitute x = 8, y = 5, h = 6, y = -3 into the equation to solve for a

[tex]y = a(x - h)^2 + k[/tex]

[tex]5 = a(8 - 6)^2 + (-3)\\5 = a(2^2)-3\\4a = 5 + 3\\4a = 8\\a = \frac{8}{4} \\a = 2[/tex]

Substitute a = 2, h = 6, k = -3 into [tex]y = a(x - h)^2 + k[/tex]

[tex]y = 2(x - 6)^2-3\\[/tex]

The equation of the parabola that has vertex (6, -3) and also passes through the point (8,5) is [tex]y = 2(x - 6)^2-3\\[/tex]

Learn more here: https://brainly.com/question/24208497

Factor and find all zeros

f (x) = x 4 + 5x 3 + 4x 2 + 20x

Answers

Answer:x(x+5)(x​2+4)

Step-by-step explanation:

What is the least common multiple (LCM) of 5 and 20?

Answers

Answer:

5

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

When you make a list it will look something like this::

5-5,10,15,20

20-20

Four-ninths of the students at Edison Junior High School walk to school. If 248 students walk to school, how many students attend Edison Junior High School?
Please put a numerical explantion

Answers

9514 1404 393

Answer:

  558

Step-by-step explanation:

Let p represent the student population at Edison Jr High. Then we know ...

  (4/9)p = 248 . . . . . 248 students is 4/9 of the student population

  p = 248(9/4) = 558 . . . multiply the equation by 9/4

558 students attend Edison Jr. High.

2 (k + 2) = 8k - 5 - 3k

Answers

Answer:

k=3

Step-by-step explanation:

Answer:k=3

Step-by-step explanation:

Find the missing angle measurements?

Answers

Answer:

angle 1=41°

Angle 2=85°

Angle 3=95°

Angle 4 =85°

Angle 5=36°

Angle 6=49°

Angle 7=106°

WILL GIVE BRAINLIEST

Which of the following is an equation of the tangent line to y=sin x +cos x at x=3.14/2

Answers

Answer:

y o = 2 sin ( π/6 ) = 2 * 1/2 = 1

x o = π / 6

y ` = 2 cos x = 2 cos (π/6) = 2 * √3 / 2 = √ 3;

m = √3

An equation of the tangent line is:

y - y o = m ( x - x o )

Answer:

y - 1 = √3 ( x - π/6 )

Step-by-step explanation

please give me brainliest     hope it helps

8. PLS ANSWER!!!!
and show work

Answers

Answer:

The equation of the parallel line is y = 5x + 11

Step-by-step explanation:

→ Parallel lines have same slopes and different y-intercepts

→ The slope-intercept form of the linear equation is y = m x + b, where

m is the slopeb is the y-intercept

In our question

∵ The equation of the given line is y = 5x + 2

→ Compare it with the form above to find its slope

∴ m = 5

∵ The two lines are parallel

∴ Their slopes are equal

∴ The slope of the parallel line is 5

→ Substitute it in the form of the equation above

∴ y = 5x + b

→ To find the value of b substitute x and y in the equation by the

   coordinates of any point on the line

∵ The line passes through point (-2, 1)

∴ x = -2 and y = 1

∵ 1 = 5(-2) + b

∴ 1 = -10 + b

→ Add 10 to both sides

∴ 1 + 10 = -10 + 10 + b

∴ 11 = b

→ Substitute value of b in the equation

∴ y = 5x + 11

∴ The equation of the parallel line is y = 5x + 11

A department store purchases screen-printed t-shirts at a cost of $5 per shirt. They mark up the price 150% (making the selling price 250% of the store's purchase price) and put them on the sales floor. Every month that a t-shirt doesn't sell, the store reduces the selling price by 25%.Which expression shows the selling price after one monthly price reduction?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Cost price = $5 per T - shirt

Markup = 150% or cost price

Every month which shirt doesn't sell, selling price drops by 25%

Selling price of Tshirt = (150% * $5) = $7.5

Price after 1 month = (100% - 25%) * $7.5 = $5.625

Hence, the equation could be expressed as :

Price after one month:

(1.5 * $5) - 0.75 * (1.5 * $5)

7.5 - 0.75(7.5)

Answer:

($5)(2.50) – ($5)(2.50)(0.25)

Leo reads 10 pages in 1/3 hours What is the unit rate for pages per hour

Answers

Answer:

30 pages per hour

Step-by-step explanation:

Leo can read 10 pages in 20 minutes.

60 minutes in a hour

20 x 3 = 60

10 x 3 = 30

Can somebody please help?

Answers

Answer: C

Step-by-step explanation: I could tell just by looking at the first two, they’re negative

in a sequence of numbers, a3=18, a4=14, a5=10, a6=6. Based on this information, which equation can be used to find the nth term in the sequence , an?

Answers

Answer:

i got an=-4+22 not thats not one of the answer choices..

Step-by-step explanation:

Anna is given the equation 5 + 3x = 3x + 5
The replacement set is {1, 2, 3, 4}
Anna says the solution is {2}, but the teacher marked her problem incorrect. Explain what the answer should be and why. Why do you think this is?

Answers

Answer:

The answer is they are all correct

Step-by-step explanation:

5 +3(1) = 8 = 3(1)+5

5 +3(2) = 11 = 3(2)+5

5 +3(3) = 14 = 3(3)+5

5 +3(4) = 17 = 3(4)+5

5 +3(5) = 20 = 3(5)+5

2x + 3 = 5x - 2
4x + 1 = 10x + 3
5x - 5 = 2x + 10
4(x + 5) – 10 = 2
2x + 3 – 4x = x + 6
3(x +5) – 2 = 22

Answers

Answer:

x3r9

Step-by-step explanation:

3/2 x -9 = 0 hiiiiiiiii please help :)

Answers

Answer:

x=6

Step-by-step explanation:

3/2x-9+9=0+9

3/2x=9

2. 3/2x=9. 2

3x=18

3x/3=18/3

x=6

Answer:

Hewo There!!

_______________________

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

x  =  6

______________________

“How wonderful it is that nobody need wait a single moment before starting to improve the world.” – Anne Frank

______________________

Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn

Write the inequality. Lawyers work up to 80 hours a week. (Use x for your variable)

Answers

X is less than or equal to 80. Hope this helps and sorry I didn’t use the sign, I don’t have it on my keyboard.

Find the square root.

±√1.69 = ____ and ____

Answers

Answer:

             ±√1.69 = +1.3 and -1.3

Step-by-step explanation:

√169 = 13

square root and two digits after dot means the result need to has one digit after dot (number of digits after dot divided by 2 because of square root)

so √1.69 = 1.3

Complete the recursive formula of the arithmetic sequence –3,-1,1,3,....

Answers

5 7 9 11 13 15 Is the next answer

Answer:

b(1)=-3

b(n)=b(n−1)+2

Step-by-step explanation:

Given the sequence −3,−1,1,3,...

We can infer that the first number of the sequence is -3, and the difference is +2

b(1)=first number of the sequence

b(n)=b(n−1) diffrence

If we fill this in, we get:

b(1)=-3

b(n)=b(n−1)+2

Trapezoid G H J K is rotated about G 90 degrees counterclockwise to form trapezoid G prime H prime J prime K prime. Trapezoid G prime H prime J prime K prime is reflected across the line of reflection m to form trapezoid G double-prime H double-prime J double-prime K double-prime.
What is the final transformation in the composition of transformations that maps pre-image GHJK to image G'H"J"K"?

a translation to the right
a reflection across line m
a 90° rotation about point G
a 180° rotation about point G

Answers

Answer:

B: A reflection across line m

Step-by-step explanation:

Answer:

A reflection across line m

Step-by-step explanation:

The answer above is correct.

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
48 yd : 56 yd

Answers

Answer:

4/6

Step-by-step explanation:

A fruit bowl contains 2 bananas, 5 oranges, and 4 apples in the simplest form, what is the ratio of apples to bananas in the fruit bowl?

Answers

Answer:

Ratio of apple to banana is 2:1

Step-by-step explanation:

To find ratio of x type of one thing and y type of other thing we divide

x by y and ratio is written as

ratio = x:y

_________________________________

Number  of banana = 2

Number  of apples = 4

Ratio of apple to banana = Number  of apples :Number  of banana

Ratio of apple to banana = 4:2

since 4 is divisible by 2 , to get the ratio in simplest form

we divide both numerator and denominator by 2

Ratio of apple to banana = 4/2:2 /2 = 2:1

Thus,

Ratio of apple to banana is 2:1

What percent of 25 is 20?
A) 40%
B) 50%
C) 60%
D) 80%

Answers

D. 80% is 25 percent is 20

will mark brainlyest 10/19

Answers

Answer:

answer is 5

Step-by-step explanation:

Write the equation of the line that contains the given point and has the given slope.

(–8, –8), slope is 3

Answers

Answer:

y - 8 = 3(x - 8)

Step-by-step explanation:

Point-Slope Form: y + y₁ = m(x + x₁)

x₁ - x coordinate

y₁ - y coordinate

m - slope

Step 1: Define

Point (-8, -8)

Slope m = 3

Step 2: Write in point-slope form

y - 8 = 3(x - 8)

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