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

Each Day That A Library Book Is Kept Past Its Due Date, A $0.30 Fee Is Charged At Midnight. Which Ordered

Answers

Answer 1

Answer:

Option (4)

Step-by-step explanation:

An ordered pair (x, y) represents,

x = number of days that a library book is late

y = Total fee for the delay

Late fee of a library book = $0.30 per day

Then late fee of a book for the delay of 'x' days,

y = per day fee × number of days delayed

y = [tex]0.30\times x[/tex]

Option (1). For (-3, -0.90)

Since number days can't be negative so not the answer.

Option (2). For (-2.5, -0.75)

Number of days are negative so can't be the answer.

Option (3). For (4.5, 1.35)

Fee for 4.5 days will be,

y = 0.30(4) [Since fee is charged after completion of one day or in the midnight]

Fee for 4.5 days will be the same as fee for 4 days.

y = $1.20

Therefore, this option will not be the answer.

Option (4). For (8, 2.40)

y = 0.30x

y = 0.30(8)

y = 2.40

Therefore, option (4) will be the answer.

Answer 2

Answer:

8,2.40

Step-by-step explanation:


Related Questions

hlp me hlp me hlp me hlp me

Answers

The unit rate would be points per game.

To find the points per game, divide both numbers by 6:

288/6 = 48

the unit rate would be 48 points / 1 game.

The answer is the first choice.

Answer:

[tex]\frac{288 points}{6 games}[/tex] ÷ [tex]\frac{6}{6} =\frac{48 points}{1 game}[/tex] or the 1st option

Step-by-step explanation:

[tex]\frac{288 points}{6 games}[/tex] ÷ [tex]\frac{6}{6} =\frac{48 points}{1 game}[/tex]

We get this answer because to find the unit rate, we need to get however many points over one game.

Does anyone know how to find angle measures from trig values?

Answers

Answer:

Trig is SOHCAHTOA i think

Step-by-step explanation:

SOH is sin which is opposite/hypotenuse

CAH is cos which is adjacent/hypotenuse

TOA is tan which is opposite/adjacent

Hope this helps please leave a comment :)

which best decribes how to slove the equation below 26x=74

Answers

Divide 26 to both sides then simplify your answer to 74/26= X

What is the common denominator of 13/24 + 7/12?

Answers

Answer:

The common denominator of 13/24 and 7/12 would be 12.

Step-by-step explanation:

The least common factor of 24 and 12 is 12.

Q.4 a) If a= x+y and b= x-y , show that I) (a+b)²= 4x² ii) ( a-b)²= 4y²​

Answers

Answer:

Below.

Step-by-step explanation:

i) (a + b)^2 = a^2 + 2ab + b^2

= (x + y)^2 + 2(x + y)(x - y) + (x - y)^2

=  x^2 + 2xy + y^2 + 2(x^2 - y^2) + x^2 - 2xy + y^2

=  x^2 + 2x^2 + x^2 + y^2 - 2y^2 + y^2 + 2xy - 2xy

= 4x^2.

ii) (a - b)^2 = a^2 + b^2 - 2ab

=  (x + y)^2 + (x - y)^2 - 2 - 2(x^2 - y^2)

= x^2 + 2xy + y^2 + x^2 - 2xy + y^2 - 2x^2 + 2y^2

=  x^2 + x^2 - 2x^2 + y^2 + y^2 + 2y^2 + 2xy - 2xy

=  4y^2.

which of the following is the solution to the inequality below?​

Answers

Answer:

14≤x

Step-by-step explanation:

-6(x-4) ≤-4(x+1)

Distribute

-6x+24 ≤-4x-4

Add 6x to each side

24 ≤-4x-4+6x

24 ≤ 2x-4

Add 4 to each side

24+4≤2x

28≤2x

Divide by 2

28/2≤2x/2

14≤x

Convert the fraction

103

7497

to an equivalent percentage.

Report your answer accurate to one decimal place.

Answers

Answer:

1.4

Step-by-step explanation:

We need to convert 103/7497 into a percentage.

All we have to do is multiply the fraction by 100:

103/7497 * 100 = 1.37

To one decimal place, the equivalent fraction is 1.4

A movie theater is giving away a souvenir poster to any customer with a concession stand receipt that exceeds 560. The theater
sells a bag of popcorn for $6 and bottle of soda for $3.50. Let x represent the number of bags of popcorn, and let y represent the
number of bottles of soda. Which Inear inequality can be used to find the quantities of popcorn and soda that should be purchased
to receive a poster?

Answers

5.60+3.50=45 so it would be not today

Presenting a graph with a skewed scale would be a: A measurement error. B sampling error. C interpretation error. D data collection error. PLEASEEE HELPPP!!!!!!!!!!!

Answers

Answer:

C. interpretation error

Step-by-step explanation:

Interpretation error is how data is interpreted (i.e. wrong meaning). For instance, when data results are presented in a wrong or misleading way.

Answer:

The answer is C.

Step-by-step explanation:

it just is.

Ok so this question is about scientific notation. Which isn’t hard. But the numbers given are too much for a calculator. I don’t get how to do it. Please help and please provide an explanation

Answers

Answer:

1.1 x 10^24

Step-by-step explanation:

Mass of earth: 5.97 x 10^24

Mass of venus: 4.87 x 10^24

There are 24 numbers in the mass of venus before the 4, in 4.87. So, that is why we use 10^24.

5.97-4.87=1.1

B is two fifths of c 4a = 3c work out the ratio a:b:c give your answer in its simplest form where a, b and c are integers

Answers

Answer:

a : b : c = 12 : 10 : 15

Step-by-step explanation:

Given that: b = [tex]\frac{2}{5}[/tex] of c

 i.e             b = [tex]\frac{2c}{5}[/tex] ............... 1

          2c = 5b

So that;

          c = [tex]\frac{5b}{2}[/tex] .................... 2

Also,    

          4a = 3c

           a = [tex]\frac{3c}{4}[/tex] ................ 3

⇒          a = [tex]\frac{3}{4}[/tex] × ([tex]\frac{5b}{2}[/tex])

             a = [tex]\frac{15b}{8}[/tex] ................. 4

           15b = 8a

           b = [tex]\frac{8a}{15}[/tex] ................. 5

Comparing the derived equations:

From equations 2 and 3,

a:c = [tex]\frac{15b}{8}[/tex]: [tex]\frac{5b}{2}[/tex] = 4:5

From equations 1 and 2,

b:c = [tex]\frac{2c}{5}[/tex] : [tex]\frac{5b}{2}[/tex] = 2:3

But a common value of b = 15, gives;

a : c = 12 : 15 and b : c = 10 : 15  

Thus, a : b : c = 12 : 10 : 15

The ratio a:b:c in its simplest form is 15:8:20

Ratios and Proportions

Given the following parameters

b = 2/5 c4a = 3ca = 3/4c

To get the ratio of a:b:c, we will substitute the value of a and b into the ratio to have:

a:b:c = 3/4c : 2/5c :c

Multiply through by 20 to have:

a:b:c = 3/4c * 20 : 2/5c * 20: 20c

a:b:c = 15c:8c:20c

a:b:c = 15:8:20

Hence the ratio a:b:c in its simplest form is 15:8:20

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if f(x)=6x^2-4 and g(x)=2x+2 find (f-g)(x)

Answers

Answer: [tex](f-g)(x)=6x^2-2x-6[/tex]

Step-by-step explanation:

[tex]f(x)=6x^2-4\\g(x)=2x+2\\(f-g)(x)=[/tex]

Take each function and subtract them.

[tex](f-g)(x)=(6x^2-4)-(2x+2)[/tex]

The trick here is that the negative sign changes all of the signs inside the parentheses.

[tex](f-g)(x)=6x^2-4-2x-2[/tex]

Combine like terms;

[tex](f-g)(x)=6x^2-2x-6[/tex]

If X to the second power equals 30, what is the value of X?

Answers

Answer:

see below

Step-by-step explanation:

x² = 30

x = ±√30 (take the square root of both sides)

The value of X in the equation is:

√30 or 5.48

If X to the second power equals 30, what is the value of X?

An algebraic equation is when two expressions are set equal to each other, and at least one variable is included.

If X to the second power equals 30 can be written as:

X² = 30

To find the value of X, take the square root of both sides of the equation. That is:

√X² = √30

X = √30

X = 5.48

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Can someone please explain what I did wrong here? Thank you!

Answers

Answer:

[tex]P(Tamika)=\frac{1}{3} \times\frac{1}{3} =\frac{1}{9} \\P(Jayden)=\frac{1}{3} ;\\P=P(Tamika)\timesP(Jayden)=\frac{1}{9}\times\frac{1}{3}=\frac{1}{27}[/tex]

does anyone know the bottom answer please

Answers

Answer:

6000000 divided by 10 = 600000

Step-by-step explanation:

Your answer should make sense

Zara ate 75 almonds this week, or 150% as many as she ate last week. How many almonds did Zara eat last week?

Answers

Zara ate 50 almonds last week which is 150% as many as she ate last week.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that Zara ate 75 almonds this week, or 150% as many as she ate last week.

Let's assume that she eat x almonds last week

As per the given question, we can write the percentage would be as

⇒ 150% of x = 75

⇒ (150/100) x = 75

Apply the cross-multiplication operation,

⇒ 150x = 7500

Divided by 150 into both sides of the above equation,

⇒ x = 7500/150

⇒ x = 50

Therefore, she eat 50 almonds last week.

Learn more about the percentages here:

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Find the distance between the pair of points given on the graph

Answers

The right answer is 74 units.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

need help with soh cah toa will award most brainliest

Answers

Answer:

46.07

Step-by-step explanation:

CAH (cosine=adjacent/hypotenuse)

cos (71)=15 (adjacent)/x (hypotenuse)

x=15/cos(71)

x=46.07

Answer

so what you do is

Step-by-step explanation:

do Cos71= 15/x

becomes x times cos71 = 15

becomes x =  15/cos71

then if u put in calculater and type 15 divided by the cos of 71 and make sure oyur calculater is on degrees an you will get answer

Copy and complete each table.


HELP I CAN’T FIND THE EQUATION FOR N
I realized the output is -5 each, but what’s the equation ;-;;;l

Answers

Answer:

5th term of sequence = -18

nth term of the sequence = -5n + 7

Step-by-step explanation:

Difference between successive and previous term of the output,

[tex]T_{2}-T_{1}[/tex] = -3 - 2

           = -5

Similarly, [tex]T_{3}-T_{2}=-8-(-3)[/tex]

                            = -5

There is a common difference 'd' = (-5)

Therefore, the sequence formed will be an arithmetic sequence.

First term of the sequence 'a' = 2

Explicit formula of an arithmetic sequence, [tex]T_{n}[/tex] = a + (n - 1)d  [n = input value]

[tex]T_{n}[/tex] = 2 + (n - 1)(-5)

    = 2 - 5n + 5

    = -5n + 7

5th term of this sequence,

[tex]T_{5}=2+(5-1)(-5)[/tex]

    = 2 - 20

    = -18

Therefore, 5th term of sequence = -18

                  nth term of the sequence = -5n + 7

Using this figure A’ is the______Of A.

Answers

Answer:

Reflection

Step-by-step explanation:

Figure A' is the reflection of A as it is reflected from A'

I will give you brainliest!!!! Add the equations.

Answers

Answer:

7x = 9

Step-by-step explanation:

3x -2y = 15

4x+2y = -6

---------------------

7x + 0y = 9

7x = 9

Hey school system is reducing the amount of dumpster loads of trash removed each week in week five there are 45 dumpster load the waste removal in Wheaton there were 30 dumpster load removed assume that the reduction in the amount of waste each week is Linnea write an equation in function form to show the amount of trash removed each wwHey school system is reducing the amount of dumpster loads of trash removed each week in week five there a 45 dumpster load the waste removal in Wheaton there were 30 dumpster loads removed assume that the reduction in the amount of waste each week is linear write an equation in function form to show the amount of trash removed each week

Answers

Answer:

 y = -3x + 60

Step-by-step explanation:

For the answer to the question above,

 let x = number of weeks let y = amount of waste.

The linear equation may be expressed as,y = mx + b

 m and b are the slope and y - intercept, respectively. Substituting the corresponding values,

  (Week 5)                     45 = 5m + b

  (Week 10)                   30 = 10m + b

Solving for m and b gives the values as m = -3 and b = 60. Thus, the equation is 

 y = -3x + 60

Answer: C

Step-by-step explanation: the other dude is right, he just didnt change y to f(x)    (f of x).


Which point represents the vertex of the marked angle?

Answers

I think point E is the correct answer.

The volume of a cuboid is 360cm3. The length is 3cm and the width is 80mm. Work out the height of the cuboid in cm.

Answers

Answer:

[tex]15\:cm[/tex]

Step-by-step explanation:

Use the formula for the volume of a cuboid.

[tex]V=lwh[/tex]

[tex]80\:mm=8\:cm[/tex]

[tex]360=3 \times 8 \times h[/tex]

[tex]360=24 \times h[/tex]

[tex]360 \div 24 = h[/tex]

[tex]15=h[/tex]

The height of the cuboid 15 cm.

What is volume?

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

Here, we have,

The volume of a cuboid is 360cm3.

The length is 3cm and the width is 80mm.

now,

80mm=8cm

volume= l*w* h

i.e. 360 = 3* 8*h

so, h= 15

Hence, The height of the cuboid 15 cm.

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The difference of two timber’s is 8. When twice the first number is added to three times the second number, the result is 51. What are the two numbers?

Answers

Answer:

First number:15

Second number: 7

Step-by-step explanation:

To find the 2 numbers, we can use system of equations.

Let's use x for the first number and y for the second number. Our first equation would be:

x-y=8

This equation comes from the first sentence: the difference of the 2 numbers is 8. The second equation would be

2x+3y=51

This equation comes from the second part of the question.

We can use elimination method to find x and y.

x-y=8

2x+3y=51

Let's eliminate x. To do so, the x in both equations must be equal to each other. Since one is x and another is 2x, we must multiply the first equation by 2 to get the same x.

2x-2y=16

2x+3y=51

Now that the x are the same, we can subtract the equations.

-5y=-35

y=7

With our y value, we can find x by plugging y into any of the equations.

x-7=8

x=15

Since we found our x and y, the first number is 15 and the second number is 7.

Find the difference of the complex numbers (7+3i)-(3-7i)

Answers

Answer:

4 + 10i

Step-by-step explanation:

Expanding the bracket we have;

(7+3i)-(3-7i) = 7+3i-3+7i

(7+3i)-(3-7i) = 7+3i-3+7i = 7-3 + 3i + 7i= 4 + 10i

Answer Option C

=7+3i-3+7i

=7-3+3i+7i=

=4+10i

DEFG is an isosceles trapezoid. Find the measure of 2 G.

Answers

Answer:

B

Step-by-step explanation:

In an isosceles trapezoid the upper base angles are congruent, thus

∠ G = ∠ D = 121° → B

Answer:

121

Step-by-step explanation:

i took the quiz

Which table represents a function that does not have a constant rate of
change?
O A.
A/WIN/Holx
y
16
23
30
37
44
O B.
Х
0
1
2
3
4
y
30
36
42
48
54
O c.
х
0
1
2
3
4
11
12
14
18
26
OD.
Х
0
1
2
3
4
y
10
18
26
34
42

Answers

Answer:

c.

Step-by-step explanation:

In table one , the rate of change is by adding 7 to each number

in table 2, the rate of change is by adding 6 to each number

in table 4, the rate of change is by adding 8 to each number

but in table 3, there is no precuse addition of numbers

While making oatmeal cookies, Angela needs to add cup of milk to her dough. However, she has only a -cup measuring cup. How many times does she need to fill the measuring cup to pour cup of milk? The number of times Angela needs to fill the -cup measuring cup to pour cup of milk is .

Answers

Answer:

the number of times Angela needs to fill the 1/4-cup measuring cup to pour 1/2 cup of milk is 2.

Complete question:

While making oatmeal cookies, Angela needs to add 1/2 cup of milk to her dough. However, she has only a 1/4-cup measuring cup. How many times does she need to fill the measuring cup to pour 1/2 cup of milk? The number of times Angela needs to fill the 1/4-cup measuring cup to pour 1/2 cup of milk is?

Step-by-step explanation:

Number of cups Angela needs to add to her dough = 1/2 cup of milk

The only measuring cup she has = 1/4-cup measuring cup.

To determine the number of times she needs to fill the measuring cup to pour 1/2 cup of milk, we would divide the 1/2 cup of milk by 1/4-cup measuring cup

= ½ ÷ ¼

= ½ × 4/1

= 4/2

= 2

Angela would need to fill 2 times

Therefore, the number of times Angela needs to fill the 1/4-cup measuring cup to pour 1/2 cup of milk is 2

Answer:

The answer is 2 (:

Step-by-step explanation:

I got it right on the test in Edmentum

Hope this helps

(3x+8) (4x+10) what is the length

Answers

12x^2+62x+80
Do you want a step by step?
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