Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is
viable solution if x represents the number of days that a library book is late and y represents the total fee?

Answers

Answer 1
Let's say the number of days library book is late is X, and the total fee is Y.

Liability charges $0.30 dollars as a fee for being 1 day late,

For being 1 day late, fee charge is: 1* $0.30
So, for X days the charge would be: X*$0.30.

Total charge for being X days late is Y, Which means: Y= 0.30 * X.

Now We would have to check all the viable solutions in the answer to see if they satisfy the equation Y= 0.30 * X

Option one(-3, -0.9) and two (-2.5, -0.75) Would not be a viable solution because the value of number of days can not be negative and in option one and two, value of days -3 and -2.5 is negative.

Option three(4.5, 1.35) can not be correct because library charges fee for a full day so the number for days would be a whole number. Library would not charge for 4.5 days, they would either charge of 4 days or 5 days because 4.5 is not an whole number.


Option four(8, 2.40) is the correct answer because it satisfies our equation;

Y= 0.30 * X

2.40= 0.30 * 8

2.40 = 2.40.


Fourth option (8, 2.40) is the only viable solution to this question.

Related Questions

Arbitron Media Research Inc. conducted a study of the iPod listening habits of men and women. One facet of the study involved the mean listening time. It was discovered that the mean listening time for a sample of 10 men was 35 minutes per day. The standard deviation was 10 minutes per day. The mean listening time for a sample of 12 women was also 35 minutes, but the standard deviation of the sample was 12 minutes. At the 0.10 significance level, can we conclude that there is a difference in the variation in the listening times for men and women

Answers

Answer:

No ;

Step-by-step explanation:

Given ;

s2 = 10 ; n2 = 10 ; s1 = 12 ; n1 = 12

Hypothesis :

H0 : σ1² = σ2²

H1 : σ1² ≠ σ2²

The test statistic :

Ftest = s1² / s2² = 12² / 10² = 144 / 100 = 1.44

The Pvalue using the Pvalue from Ftest calculator :

Numerator df = 12 - 1 = 11

Denominator df = 10 - 1 = 9

Pvalue = 0.2969

At α = 0.1

If Pvalue > α ; Fail to reject H0

0.2969 > 0.1 ; Hence, we fail to reject the Null

Hence, we cannot conclude that variation exists

The half-life of a radioactive kind of antimony is 60 days. If you start with 720 grams of it, how much will be left after 180 days?

Answers

The answer would be 90 because it takes 60 days to become a half-life so the the half of 720 is 360 the 180 then 90
HALF-LIFE Equals is 30

HELP ME !!!!!!!!!!!!!!!!!

Answers

Answer:

c  if i'm correct but its possible that its c

Step-by-step explanation:

Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.

Answers

9514 1404 393

Answer:

  9n^4

Step-by-step explanation:

The divisor and quotient can be interchanged to find the divisor:

  [tex]\dfrac{18n^6+27n^5-36n^4}{2n^2+3n-4}=\boxed{\text{Blank 1}}[/tex]

Such division is carried out by first finding the quotient of the highest-degree terms:

  [tex]\dfrac{18n^6}{2n^2}=\dfrac{18}{2}n^{6-2}=9n^4[/tex]

This value is used to multiply the denominator and subtract that product from the numerator to find the new numerator. The new numerator is zero, so the value that goes in Blank 1 is ...

  9n^4

_____

The attachment shows the long division.

Arianna solved a fraction division problem using the rule " multiply by the reciprocal ". Her work is shown below 2/3 divided by 4/5 2/3 x 4/5 = 8/15

Answers

Answer:

2/3 divided by 4/5 = 5/6

Step-by-step explanation:

Arianna working:

2/3 divided by 4/5

= 2/3 x 4/5

= 8/15

Correct working:

2/3 divided by 4/5

= 2/3 ÷ 4/5

Multiply 2/3 by the reciprocal of 4/5

= 2/3 × 5/4

= (2*5) / (3*4)

= 10/12

= 5/6

2/3 divided by 4/5 = 5/6

Arianna's mistake was she didn't multiply by the reciprocal of 4/5

Write a function rule: The output is 3 less than five times the input..

Answers

Answer:

y = 5x - 3

Step-by-step explanation:

5 times the input indicates multiplication, and the 3 less indicates subtraction.

There is a stack of 10 cards, each given a different number from 1 to 10. Suppose we select a card randomly from the stack, replace it, and then randomly
select another card. What is the probability that the first card is an even number and the second card is less than 3?
Write your answer as a fraction in simplest form.

Answers

Answer:

1/10.

Step-by-step explanation:

The probability of getting an even card out of 10 cards numbered 1 - 10 is 1/2. The even numbers available are 2, 4, 6, 8, and 10 while the odd ones available are 1, 3, 5, 7, and 9. So half the outcomes could come out even.

The probability the second card is less than two is 1/5 (2/10 simplified). Since there are 10 cards with numbers 1-10, only two cards will have numbers less than 3, 1 and 2.

To find the total probability, multiply the two. (1/2) * (1/5) = 1/10. There is a 1 out of 10 chance that the first card is even and the second card is less than 3.

The circular play area has a diameter of 16 ft. There is a walkway that surrounds the play area is 3' wide. What is the area of the walkway? round your answer to the nearest whole foot.​

Answers

Answer: 179 sq. feet

Step-by-step explanation:

https://brainly.com/question/11852368#readmore

Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.
, √4, 2√3, √6
(a) Without using your calculator, approximate the decimal equivalent of each number to the nearest
tenth. You must show your work for the square roots to receive credit. You must use the method
shown in this unit.
(b) Order the ribbon sizes from least to greatest.

Answers

Answer:

Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.

, √4=√2²=2inches

2√3,=2×√3=2×1.735=3.5inches

√6=√2×√3=1.4×1.7=2.4inches

In order

2 inches,2.4inches and 3.5 inches.

Answer:

Step-by-step explanation:

Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.

, √4=√2²=2inches

2√3,=2×√3=2×1.735=3.5inches

√6=√2×√3=1.4×1.7=2.4inches

In order

2 inches,2.4inches and 3.5 inches.

What are the transformations?
y=(x-2)2+4 (Choose ALL that apply.)

Answers

Answer:

There is a vertical stretch when I graphed it.

Step-by-step explanation:

Hope this helps:)

(0, 0) and (5, 2) are on the line

point slope form​

Answers

Answer:

Slope is 2/5

Step-by-step explanation:

can someone solve this for me?

Answers

Answer:

A, C, D

Step-by-step explanation:

42 + 14 = 56

38 + 18 = 56

67 + 33 = 100

70 + 30 = 100

93 + 35 = 128

95 + 33 = 128

B)

40 + 22 = 62

32 + 10 = 42

62 ≠ 42

Answers: A, C, & D

Why is A correct?
Well, A is correct because 42+14 is 56, And 38+18 is also 56

Why is B not correct?
Well, 40+22 is 62 but 32+10 is not the same answer because 32+10 is 42

Why is C correct?
Well, 67+33 is 100 and 70+30 is also 100

Why is D also correct?
Well, 93+ 35 is 28 and 95+ 33 is indeed, 128

Hope this helped!

on a quiz harry got 12 out of 15 items correct.what was his quiz score

Answers

12/15 = 0.8
0.8 = 80%

I need an answer! NO LINKS! PLS ill give brainlist

Answers

Answer:

c

Step-by-step explanation:

Simplificación de la raíz cuadrada de 50

Answers

Answer:[tex]5\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{50}[/tex] ==>

2x25 ==> El 25 lo puedes reducir más ==> 5x5

Como el 5 tiene dos numero que se multiplican por si mismo se convierte en uno solo y va fuera de la raiz cuadrada.

Como el 2 que multiplicaste por 25 ya no se puede reducir y no tiene par, va adentro de la raiz cuadrada.

Resultado:

[tex]5\sqrt{2}[/tex]

last year there were 480 students in school and this year it has become 600 find the percentage increase in the number of students​

Answers

Answer:

25%

Steps:

600 - 480 = 120

100(120/480) = 25

Answer:

increase in percentage = 25%

Step-by-step explanation:

here's your solution

==> Total number of students last year = 480

==> Number of students this year = 600

==> Number of increased students = 600 - 480

= 120 students

==> now , in percentage = (120/480)*100

==> percentage increase = 25%

hope it helps

answer for brainlest and 10 points

Answers

Answer:

Rational

Step-by-step explanation:

This can be reduced to a ratio of 1/2. Numbers that can be expressed as ratios are rational.

the sum of two numbers is 30 the difference between three times the first number and twice the second is 60

Answers

Answer

Let the first no. be 2x

second no. =x

third no. =2x/3

A/Q

2x+x+2x/3=132

11x/3=132

x=36.

Hence the second no. is 36

let the first number be x

then second number=30-x

3x-2(30-x)=60

3x-60+2x=60

x=60+60

x=120

please help thank you

Answers

Answer:

op.........bro.................................

Select the correct answer.
Each of the four angles of a quadrilateral measures 90°. How many rectangles can you construct using this condition?
Ο Α. Ο
OB
1
OC. 2
OD
4.
OE
infinitely many
Reset
Next

Answers

Answer:

OD

Step-by-step explanation:

Answer:

It's OD

p explanation:

If right you’ll get brainliest

Answers

The temperature increased by 10°F.

Step-by-step explanation:

To solve this question, solve this equation:

[tex]-6+X=4[/tex]

Flip the equation so it is easier to solve:

[tex]4-(-6)=X[/tex]

Two negatives = A positive so:

[tex]4+6=X[/tex]

Then, add to solve the equation:

[tex]10=X[/tex]

The temperature increased by 10.

Suppose a circle has a diameter of 20 inches. What is its radius?
A)400 in
B)40 in
C)20 in
D)10 in

Answers

The answer would be D. 10 in.

Please help me I do not understand this lolll

Answers

Answer:

I do not understand this either lolll lolll

but I guess eq 1 = D

EQ 2 = B

EQ 3 = A

EQ 4= C

That’s hard sorry I can’t

A map uses the scale 1.5 cm=25 mi. Two cities
are 190 miles apart. How far apart are the cities
on the map?

Answers

Answer: 11.4 cm

Step-by-step explanation:

190/25 = 7.6

7.6 x 1.5 = 11.4

Answer

the two cities are 11.4 cm apart on the map

Juan compro un plasma en cuotas que costó $8000 si le faltan pagar 3 cuotas y ya pagó $6500 ¿cual es el valor de cada cuotas fijas?

Answers

Answer:

El valor de cada cuota fija es de $500.

Step-by-step explanation:

Para encontrar el valor de cada cuota fija, puedes calcular la diferencia entre lo que Juan ha pagado y el valor que costó el plasma para saber cuál es el monto que aún debe. Después, debes dividir la cantidad que aún debe pagar entre tres que es el número de cuota pendientes para encontrar el valor de cada cuota teniendo en cuenta que son fijas:

8000-6500=1500

1500/3=500

De acuerdo a esto, la respuesta es que el valor de cada cuota fija es de $500.

0.75(4x + 2) = 5 - (x + 1.5)
X =

Answers

Answer:

The answer is x=1/2 or x=0.5

Answer:

x = 0.5

Step-by-step explanation:

0.75(4x + 2) = 5 - (x + 1.5)

3x + 1.5 = 5 - x - 1.5

3x + 1.5 = -x + 3.5

3x + x = 3.5 - 1.5

4x = 2

x = 0.5

PLEASE HELP!! Find the circumference of circle K. Round your answer to the nearest hundredth. Circumference = ft

Answers

Answer:

12.57 ft

Step-by-step explanation:

Since triangle ∆EFH is a right angled triangle,side |EF| can be determined by

Sin© = Opposite side ÷ hypothenus side where © is the given angle in the triangle

Sin 60 = 2✓3 ÷ |EF||EF| = 2√3 ÷ sin 60|EF| = 2√3 ÷ 0.8660|EF| = 4ft

Since Line |EF| is a straight line that passes through the centre of the circle and touch two sides of the circumference,

line |EF| is the diameter of the circle

Circumference = 2πr where r = radiusradius = diameter ÷ 2radius = 4 ÷ 2radius = 2 ft

Circumference = 2πr Circumference = 2 × 22/7 × 2Circumference = 12.57 ftCircumference = 12.57 ft

Use limits to find the area between the curve of y = x and the x-axis for the interval from
x= 1 to x= 3.
Links will be reported.

Answers

Answer:

The area between the curves is 4 square units.

Step-by-step explanation:

We want to find the area bounded by:

y = x

x = 0

in the interval x = 1, x = 3

This is simply equal to the integral of the function f(x) = x between x = 1 and x = 3

Written as:

[tex]\int\limits^3_1 {x} \, dx[/tex]

And the integral of x is equal to x^2/2

Then:

[tex]\int\limits^3_1 {x} \, dx = (\frac{3^2}{2} - \frac{1^2}{2}) = (\frac{9}{2} - \frac{1}{2} ) = \frac{8}{2} = 4[/tex]

The area between the curves is 4 square units.

 A company makes steel rods shaped like cylinders. Each rod has a radius of 2 centimeters and a height of 60 centimeters. If the company used 54,259.2 cm3 of steel, how many rods did it make? Use 3.14 do not round your answer +Help me plz

Answers

Answer:

72 rods

Step-by-step explanation:

First, find the volume of each rod, using the formula V = [tex]\pi[/tex]r²h

Plug in pi, the radius, and height, and solve:

V = [tex]\pi[/tex]r²h

V = (3.14)(2²)(60)

V = (3.14)(4)(60)

V = 753.6

So, each rod has 753.6 cm³ of steel.

Divide 54,259.2 by this to find how many rods it will make:

54,259.2 / 753.6

= 72

So, it will make 72 rods.

Decide if the expressions are equivalent. 2.5x and x+5

Answers

if you want to see if they are equivalent just substitute any number such as 2, so 2.5(2) = 5 and 2 + 5 = 7, so they are not equivalent (THIS IS TRUE UNLESS YOU DIDNT PUT THE X VALUE IN THE QUESTION)
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