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

is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.​

Answers

Answer:

SOLUTION: Yes; one pair of opposite sides are parallel and congruent. From the figure, one pair of opposite sides has the same measure and are parallel. By the definition of congruence, these segments are congruent. By Theorem 6.12 this quadrilateral is a parallelogram.

Answer:

Below.

Step-by-step explanation:

The definition of a parallelogram is a 4 sided figure  with 2 pairs of oppsoite parallel sides.

One of the properties of a parallelogram is that opposite sides are congruent.

In this figure the opposite sides are both parallel and congruent, so it must be a parallelogram.

6 x 3/16 in simplist form

Answers

Answer:

9/8 or 1.125

Step-by-step explanation:

multiply 6/1 * 3/16 = 18/16

divide both by 2

9/8

for brainiest:):):):):):):):):)

Answers

Answer: $7,488

Step-by-step explanation:

For answer B:

The formula for the new balance would be A=P(1 + r)t

A = new balance

P = principal balance -> $900

r = rate (in decimal form)

t = time in years -> 8 years

To find the rate, convert 4% to decimal  

4/100 = 0.04

A=P(1+ r)t  

A=900(1+0.04)8

A=900(1.04)8

A=$7,488

Answer:

A. 288, b 1,188

Step-by-step explanation:

Can yall help me with this pls its due rn and im cryinggggg ill definetly give brainliesttt : (
JUST WITH NUMBER 2 PLS THE SECOND ATTACEMENT :(

Answers

Answer: 5 (4x + 7)

Step-by-step explanation:Wouldn't it be 5(4x+7). So I guess the sign it's looking for is an addition symbol.

help! please with my work

Answers

Answer:

122.5 cm²

Step-by-step explanation:

Area = 1/2 × 35 × 7 = 122.5 cm²

Answer:

area of rectangle=l×b =14×7 =98cm²

again,

area of triangle=1/2×7×7=24.5cm²

total area =98+24.5=122.5cm²

hope it helps.

The height in feet,h , of a model rocket t seconds after launch is given by the equation h(t) = 3+70t-16t^2.

Answers

Answer:

speed of the rocket is 6feet

Step-by-step explanation:

Complete question

The height in feet, h, of a model rocket t seconds after launch is given by the equation h(t) = 3+70t - 16t^2. The average rate of change in h(t) between t = 1 second and t = 3 second is 6. What does the average rate of change tell you about the rocket?

Note that the average rate is also known as the speed

Average rate = h(3)-h(1)/3 - 1

h(3) = 3+70(3) - 16(3)^2

h(3) = 3 + 210 - 144

h(3) = 69

h(1) = 3+70(1) - 16(11)^2

h(1) = 3 + 70 - 16

h(1) = 73 -16

h(1) = 57

Average rate = 69-57/3-1

Average rate = 12/2

Average rate = 6ft/s

This shows  that the speed of the rocket is 6feet

Answer:

If you're looking for the answer for edge, its;

B. The rocket is at a greater height when t = 3 than when t = 1.

Step-by-step explanation:

edg- answers ;p

Select the correct answer.
What is the corresponding point on the unit circle for the given radian measure?
0 = 7pi/6

Answers

Answer:

Answer is B: (-sqrt(3/2 , -1/2)

Step-by-step explanation:

First convert radians to degrees

theta = (7pi/6)*(180/pi)

=210 degrees

Cos(210 degrees)= -sqrt3/2

Thats the x coordinate

sin(210 degrees)= -1/2

thats the y coordinate

Answer:

The corresponding point on the unit circle for the radian measure is [tex](\frac{\sqrt{3} }{2},\frac{1}{2})[/tex]

Step-by-step explanation:

What is unit circle?

A unit circle is typically drawn around the origin (0,0) of a X,Y axes with a radius of 1.

What is radian measure?

One radian is the measure of a central angle that intercepts an arc s equal in length to the radius r of the circle.

The radian measure is,

α=[tex]\frac{7\pi }{8}[/tex]

Changing to degree measure,

[tex]\frac{7\pi }{6} *\frac{180}{\pi } \\=210^{o}[/tex]

The measure on the unit circle is,

(cos [tex]\alpha[/tex] , sin [tex]\alpha[/tex])=(cos 210 , sin 210)

                    =[tex](\frac{\sqrt{3} }{2},\frac{1}{2})[/tex]

Option A.

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In Ty's English class, 70% of the students completed an essay by the due date. There are 30 students in Ty's English class. How
many completed the essay by the due date?

Please help out and explain the best you can ! Thank u !:))

Answers

Answer:

21 people completed the assignment by the due date, hope this helps !!!

Step-by-step explanation:

70% of 30 is 21 according to my calculator lol :D

brainliest would be swag ?

Please answer this correctly.

Answers

Answer:

EF=FC =22 ( diagonals bisect each other )

then EC=2 EF =2 x 22 =44

44
The diagonals in a rhombus are equal
22+22=44

A regulation basketball has a diameter of 9.4 inches. What is the volume of the ball?

A) 19.69 in3
B) 92.53 in3
C) 434.89 in3
D) 3479.14 in3

Answers

B is the correct answer

WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!
WHAT IS THE AMPLITUDE OF THIS FUNCTION

Answers

your answer should be three.

~iwa-chan

This is due at 11:59 tonight please help meh and explain your reasoning ( •᷄ - •᷅ )​

Answers

Answer:

44.375sq.cm

Step-by-step explanation:

The Area of the figure = Area of the square - Area of the quadrant

Area of the square = 8 * 8 = 64sq. cm

Area of the quadrant = πr²/4 = 3.14(5)²/4

Area of the quadrant = 19.625sq.cm

Area of the figure = 64 - 19.625

Area of the figure  = 44.375sq.cm

Plz help me someone

Answers

Answer: A.50 B.32

Step-by-step explanation:

I added then rounded them

What are the dimensions of the vertical cross section that is parallel to the right and left faces of the right rectangular prism?

Answers

Answer:

A rectangle has a length of 7 inches and a height of 2 inches

Step-by-step explanation:

The height of the vertical cross section is the same as the height of the prism, that is, 2 inches.

The length of the vertical cross section is the same as the width of the prism, that is, 7 inches.

Megan spent $9.85 on ingredients and made one pan of cereal bars. the pan has lengh of 24 inches and width of 16 inches

Answers

Answer:

Step-by-step explanation:

celia ate 5/8 of a pizza what decimal is equivalent to the fraction of pizza celia ate

Answers

Answer:

0.625

Step-by-step explanation:

5÷8=0.625

This is equal to the number of pizzas Celia ate.

plz mark me as brainliest.

Answer:

0.625

Step-by-step explanation:

Fraction of pizza she ate = 5/8

5/8 x 125 =  625/100= 0.625

I hope im right!

what is the slope of the line?

Answers

Answer:

The slope of the line would be -2/3

-2/3
That is the slope.

In PE, a parachute is laid out on the gym floor. The parachute has a radius of 16 feet. Which measurement is closest to the circumference of the parachute in feet? *

Answers

Answer:

100.48

Step-by-step explanation:

Multiply the radius by 2 to get the circumference. Then multiply by pie, 3.14

Answer:

100.48

Step-by-step explanation:

circumference=3.14 times 16 squared(which means you just do 16 times 16)

256 times 3.14 and you get 100.48

Srishti obtain 92% out of 800 full Marks khristie obtained 72% out of the same full marks by how much is shirsthi60 marks more than khristie's​

Answers

Answer:

here how 60 marks more than khriste means how many 60 more we can first find the 72% of 800=

800÷100×72= 576 number

same in sristhi = 92% of 800= 800÷100×92= 736

now how many 60s increased = 736-576= 160

= 160÷ 60= 2.6 more ANSWER

In which sampling method is the sample selected from the population according to a specific item or time interval?
A) convenience sample
B) simple random sample
C) stratified random sample
D) systematic random sample

Answers

I think the answer is C

If the mean of A and B is 20 , the mean of B and C and the mean of A,B and C us 18 . What is the mwan of A and C

Answers

Answer:

the mean of A and C is 10

Step-by-step explanation:

Given that

The mean of A and B is 20

The mean of B and C is 24

And, the mean of A, B and C is 18

We need to find out the mean of A and C

Since the mean of A and B is 20

So, a + b = 20 × 2

= 40

Likewise for B and C it is 48

And, for A, B and C, it is 54

So,

a + b = 40

b + c = 48

a + b + c = 54

So if we put the value of b + c in the above equation

a + 48 = 54

a = 6

b = 34

c = 14

Now the mean of the A and C is

= (6 + 14) ÷ 2

= 10

Hence, the mean of A and C is 10

find the volume of a sphere that has a radius of 4cm.

Answers

Answer:

V≈268.08

Step-by-step explanation:

V=4

3πr3=4

3·π·43≈268.08257

The ratio of the number of chickens to the number ducks is 7:2. The ratio of the number of ducks to the number of pigs is 5:9 There are 36 pigs on the farm.
Workout the number of chickens on the farm


Help plzz. ​

Answers

Answer: 70 chickens

Step-by-step explanation:

7:2

Chickens to ducks

5:9

Ducks to pigs.

There are 36 pigs. 9 is the ratio of pigs.

5 : 9

? : 36

9 x 4= 36

So multiply 5x4 to find the total ducks

=20 ducks

7 : 2

? : 20

So, 2x10 is 20 (ducks)

So 7x10 to find the chickens

(You have to balence out the sides and keep it equal

So if one side is multiplied by 10, the other is too)

7x10

= 70 chickens

The number of chickens in the farm is 70 chickens

The ratio of chickens to ducks is

7:2

The ratio of ducks to pigs is

5:9

There are 36 pigs in the farm

The first step is to calculate the total number of ducks

9-5

= 4

= 5×4

= 20 ducks

The next step is to calculate the number of chickens

= 7×10

= 70 chickens

Hence there are 70 chickens in the farm

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Plz put the work clearly plzz I really need these

Answers

Answer:

m∠C = 26°

m∠D = 108°

m∠E = 46°

Step-by-step explanation:

Set up the equation adding the expressions together to equal 180 (sum of all angles in a triangle)

(2x) + (x+3) + (5x-7) = 180

Remove the parentheses

2x + x+ 3 + 5x - 7 = 180

Add like terms

8x - 3 -7 = 8x -4 = 180

8x - 4 = 180

Add 4 on each side to cancel it out on the right

8x - 4 = 180

     +4   = +4

8x = 184

Divide each side by 8 to get the variable by itself

8/8 =1    184/8 = 23

x = 23

Substitute x in eac expression

2x = 2(23) = 46°

x + 3 = 23 + 3 = 26°

5x - 7 = 5(23) - 7 = 115 -7 = 108

Chek it by adding all the degrees to make sure it equals 180

46 + 26 + 108 = 72 + 108 = 180

A bag contains marbles of four different colors:
• 8 blue marbles
• 24 red marbles
• 16 green marbles
.
4 yellow marbles
The probability of picking a blue marble at random out of the bag is
::
..
2
13
::
8
11
!:

Answers

Answer:

1/6

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST

The probability of getting a blue marble is 0.15.

What is probability?

The probability of an event is a number that indicates how likely the event is to occur.

Given that, a  bag contains marbles of four different colors: 8 blue marbles, 24 red marbles, 16 green marbles and 4 yellow marbles,

We need to find the probability of picking a blue marble at random out of the bag,

Probability(Event) = Favorable Outcomes / Total Outcomes

Favorable Outcomes = 8

Total Outcomes = 52

Therefore,

P(blue marble) = 8/52 = 0.15

Hence, the probability of getting a blue marble is 0.15.

Learn more about probability, click;

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-3.5 x 0.2 =??? ;w;


A. -0.7
B. 0.7
C. -3.3
D. -0.7

Answers

Answer:

A and D

Step-by-step explanation:

It can't be B because of the negative...

It would have to be less than 3.3 since 0.2 is less than and the 3.3 is negative

A and D are the same?

-3.3 * 0.2 = -0.7

HIII I need help with this I just took a screenshot its for 7th grade.

Answers

I believe it’s

X > 7

10. 12. 17
-- + -- + --
4. 6. 12​

Answers

Answer:

Step-by-step explanation:

I take it that what you mean is

10/4 + 12/6 + 17/12

Change all the questions so that their denominators are 12

10*3 / 4*3 + 12*2 / 6*2 + 17/12

30 / 12 + 24/12 + 17/12

(30 + 24 + 17)/12

71 / 12

5 11/12

5.917

a cyclist pedals 14 km in 20 minutes with the wind and returned in 30 min against the same wind. Find the speed of the cyclist pedaling with no wind.

Answers

Answer:

1.79

Step-by-step explanation:

add the times

multiply the speed by 2

richard increase the amount of time he studied each night from a period of 55 minutes to a period of 75 minutes by which percentage will Richard increase the amount of time he studies each night
A 72 1/3%
B 20%
C 20.55%
D36.36%

Answers

55 to 75 would be 36.36%.
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