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?
O (-3,-0.90)
O(-2.5, -0.75)
O(4.5, 1.35)
O (8, 2.40)
I need the answer mate

Answers

Answer 1

Answer:

d

Step-by-step explanation:

Answer 2

The only viable solutions for the given condition are (4.5, 1.35) and (8, 2.40).

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Since the fee is charged at a rate of $0.30 per day, if a book is x days late, the total fee charged would be y = 0.30x.

We can check each ordered pair given to see if it satisfies this equation:

For (-3,-0.90), y = 0.30x = 0.30(-3) = -0.90.

This satisfies the equation, but the fee cannot be negative, so this is not a viable solution.

For (-2.5, -0.75), y = 0.30x = 0.30(-2.5) = -0.75.

Again, this satisfies the equation but the fee cannot be negative, so this is also not a viable solution.

For (4.5, 1.35), y = 0.30x = 0.30(4.5) = 1.35.

This satisfies the equation and the fee is positive, so this is a viable solution.

For (8, 2.40), y = 0.30x = 0.30(8) = 2.40.

This satisfies the equation and the fee is positive, so this is also a viable solution.

Therefore, the viable solutions are (4.5, 1.35) and (8, 2.40).

Learn more about expression here:

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Related Questions

What is ( 2 ⅓ * x ) + x?

Answers

Answer:

10x/3

Step-by-step explanation:

10x/3.............................

On a given day, the proportion of workers from Company B who purchase a coffee from the company cafeteria is 0.62 and the proportion of workers from Company C who purchase a coffee from the company cafeteria is 0.71. A random sample of40 workers was selected from Company B and another random sample of 40 workers was selected from Company C. The proportion of workers from Company B who purchased coffee was

Answers

Answer:

the proportion of workers from company B who purchsed coffee was pˆC=0.75

Step-by-step explanation:

Answer: pˆC=0.75

Step-by-step explanation:

48 - 2C = 88 solve for C

Answers

Answer:

c = -20

Step-by-step explanation:

Isolate the variable, c. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract 48 from both sides of the equation:

-2c + 48 = 88

-2c + 48 (-48) = 88 (-48)

-2c = 88 - 48

-2c = 40

Next, divide -2 from both sides of the equation:

(-2c)/-2 = (40)/-2

c = 40/(-2) = -20

c = -20 is your answer.

~

I have to determine whether the sides of the triangle form a pythagorean triple.​

Answers

Answer:

Step-by-step explanation:

How do you know if side lengths form a Pythagorean triple?

Pythagorean triples may also help us to find the missing side of a right triangle faster. If two sides of a right triangle form part of a triple then we can know the value of the third side without having to calculate using the Pythagorean theorem. From the ratio, we know that it is a Pythagorean triple.

A jet plane can carry up to 200,000 liters of fuel. It used to 130,000 liters of fuel during a flights. What percentage of the fuel capacity did it use on this flight?

Answers

65%
Step-by-step explanation:
Given: Full capacity= 200000 litres
Amount of fuel used during flight= 130000 litres
Now, finding percentage of fuel used on the flight.
∴ Percentage of fuel used=
Solving it, we will get
∴ 65% of fuel capacity been used in this flight.


Find the domain and range of the relation given to the right.

please help!!! i’ll give brainliest!!

Answers

Answer:

Step-by-step explanation:

D:(0,10)

R:(14, infinitly)

Type using number words. (Remember to use a hyphen in your answer where needed.)
355

Answers

Three hundred- fifty- five

Reason; number words refer to the alphabetical form of numbers.

Which is the product in the expression 5(z+6)-25+x

Answers

I think this is right x+5z+5
X+5z+5 would be the correct answer for this. Do you need an explanation?

What would this be??????

Answers

Answer:

I think it's the second one(200(1.034)t = 250)

Step-by-step explanation:

if not correct me. or try the third one.

Use the distribute property to find two expressions that are equivalent to 7(3x-4)

Answers

84 Is the answer thank me later god bless you

Answer:

28

Step-by-step explanation:

7.3

21 x -18 Eeeeeeeee

cddnq Leo a dsiaka

Adriana earns $9.40 per hour working at an animal shelter. How much money will she earn for 18.5 hours of work?

Answers

Answer:

173.9

Step-by-step explanation:

9.40 × 18.5 = 173.9.

Answer:

thanks for the points Imao

Step-by-step explanation:

Need accurate answers only

Answers

27 is a counter example to the question
17 is the correct answer

SOLVE EACH OUESTION
4x+3−9x

5+3.2n−6−4.8n=

2y−5(y−3)=

- 1/2 (8b+3)+3b=

Answers

Answer:

1: 5x+3

2: 1-1.6n

3: 3y +15

4: -b-3/2

Step-by-step explanation:

Evaluate:
65−15÷5 +(−19)​

Answers

The answer is 44 by using pemdas.

Answer:

43

Step-by-step explanation:

65-15/5+(-19)

65-3+(-19)

62-19=43

write 56
as the product of prime factors ​

Answers

[tex]56 = 28 \times 2 \\ 56 = (14 \times 2) \times 2 \\ 56 = (7 \times 2) \times 2 \times 2[/tex]

The formula F = 1.8C + 32 is used to convert temperatures from degrees Celsius, °C, to degrees Fahrenheit, °F. Find the temperature in degrees Fahrenheit that is equivalent to 20°C

Answers

Answer:

68F

Step-by-step explanation:

Given data

The formula F = 1.8C + 32

we want to find F for C= 20°C

Substitute into the formula we have'

F = 1.8(20) + 32

F=36+32

F=68

Hence the value of 20°C in Fahrenheit is 68F

Find the percent of a number 20% of 155​

Answers

Answer: 31


Explanation:

1. Turn 20% into a decimal (0.20)

2. Multiply 155 by 0.2 to get the answer (155×0.2=31)

Hey there!

[tex]\text{The word \underline{of} means \underline{multiply} in \underline{mathematical terms}}[/tex]

[tex]\bold{Equation: 20\% \times 155}\\\bold{20\% = \dfrac{20}{100}=\dfrac{20\div20}{100\div20}=\dfrac{1}{5}}\\\bold{\dfrac{1}{5}\times 155=?}\\\bold{155\times1=155}\\\\\bold{\dfrac{155}{5}=31}\\\boxed{\boxed{\bold{Answer: 31}}}\huge\checkmark[/tex]

Good luck on your assignment and enjoy your day!

~[tex]\frak{Amphitrite1040:)}[/tex]

How many groups of 1 2/3 are in 5/6? Please help

Answers

Answer:

2

Step-by-step explanation:

1 2/3     5/6

5/3 -> 10/6 -> 3 1/3

1 2/3 x 2 = 3 1/3

There are [tex]\frac{1}{2}[/tex] groups of the first fraction in the second fraction.

Given the following data:

Fraction 1 = [tex]1\frac{2}{3}[/tex]Fraction 2 = [tex]\frac{5}{6}[/tex]

What is a fraction?

A fraction is a numerical quantity that is not expressed as a whole number. Therefore, a fraction is simply a part of a whole number.

The parts of a fraction.

In Mathematics, a fraction comprises two (2) main parts and these include:

NumeratorDenominator

Next, we would divide the second fraction by the first fraction as follows:

[tex]Groups = \frac{\frac{5}{6} }{\frac{5}{3} } \\\\Groups = \frac{5}{6} \times \frac{3}{5} \\\\Groups = \frac{3}{6} \\\\Groups = \frac{1}{2}[/tex]

Read more on fractions here: brainly.com/question/368260

Jack was 14 years older than Priscilla. Together their ages totaled 158 years. What were their ages?

Answers

Answer:

Jack's age: 86, Priscilla's age: 72

Step-by-step explanation:

Priscilla's age can be called x, which makes Jack's x + 14. We know that their added ages total 158 years which means that x + x + 14 = 158, which means that 2x + 14 = 158. We can then solve this by subtracting 14 on both sides and getting 2x = 144. We can divide on both sides to get that x = 72. Since Priscilla's age is x and Jack's is x + 14, we already know Priscilla's age and we need to find Jacks by adding 14 to 72. 72 + 14 = 86, so Jack's age is 86.

Answer:

Jack is 86 years old,

and Priscilla is 72 years old

Step-by-step explanation:

j = Jack

p = Priscilla

j - 14 = p $\Rightarrow$ j = p+14

j+p = 158

By subsituting the value of j ( first equation) into the second equation, we get:

p+14+p = 158

2p+14 = 158

2p = 144

p = 72.

So, j = 86

Giovanni started a new job and decided to open a bank account with $10. Each week he will deposit $8 from his pay to the account. Which of the following recursive formulas can be used to model the total amount of money in Giovanni's account?

Answers

Answer:

an=an−1+10, where a1=8

Step-by-step explanation:

it is

Answer:

an=an−1+10 , where a1=8

Step-by-step explanation:

I just took the test and I got it right!! :)

sarah spent a total of 10 on oranges and apples at the supet marke
t. if she spent 3 dollars less for oranges than she did on apples how much did sarah spend on oranges​

Answers

oranges = x dollars

apples = x+3 dollars


An equation is


Oranges + Apples = 10 dollars, or

x + (x+3) = 10

2x = 10-3

2x = 7

x = 7/2 = 3.5


ANSWER. Sara spent $3.50 for oranges.
Is this good ?
$3.50 on the oranges rather than apples

A week have five school days and two weekend days. Write as ratio

Answers

5:2 or 5 to 2 or 5/2

Answer:

5:2

Step-by-step explanation:

Please help, will make brainliest

Answers

Answer/Step-by-step explanation:

1. Sin A = opp/hyp

Opp = 3

Hyp = 5

[tex] sin(A) = \frac{3}{5} [/tex] (substitution)

[tex] sin(A) = 0.6 [/tex]

2. Sin B = opp/hyp

Opp = 4

Hyp = 5

[tex] sin(B) = \frac{4}{5} [/tex] (substitution)

[tex] sin(B) = 0.8 [/tex]

3. Cos Q = adjacent/hypotenuse

Adjacent = 12

Hypotenuse = 13

[tex] cos(Q) = \frac{12}{13} [/tex] (substitution)

[tex] cos(Q) = 0.9231 [/tex] (4 decimal places)

4. Cos S = adjacent/hypotenuse

Adjacent = 5

Hypotenuse = 13

[tex] cos(S) = \frac{5}{13} [/tex] (substitution)

[tex] cos(S) = 0.3846 [/tex] (4 decimal places)

2. Robert has three jobs. He worked at Young's Grocery and earned $5,805. He was a waiter at the A & B Restaurant and earned $12,445. He also earned $56,002

working for CCD Communications. Each employer took out 6.2% for Social Security. How much did Robert pay in Social Security?

Answers

Answer:

Robert paid $4,603.6 in Social Security.

Step-by-step explanation:

Robert total earnings:

$5,805 at Young's Grocery.

$12,445 at A&B Restaurant.

$56,002 at CCD Communications.

So his total earnings are of:

5805 + 12445 + 56002 = $74,252

How much did Robert pay in Social Security?

6.2%, that is, 0.062 of $74,252. So

0.062*74252 = $4,603.6

Dawn is making an abstract painting with two triangles. the dimensions are 6 in by 10 in and 8 in by 10 in. what is the total area in square inches.

Answers

Anwser: First triangle area =0.5*8*10=40 in2. Secound triangle area =0.5*8*6=24 in2 Sum is 1st area + 2nd area, which is 64 in2.

There are 8 circles and 10 triangles. What is the simplest ratio of circles to total shapes?

Answers

The simplest ratio is 4:9

Can someone please help me Im so stressed out .

Answers

Answer:

38 students chose to fly

Step-by-step explanation:

add the female and male

Bro it’s 26+12 bc it says how many students did that and you just add the boys and girls

Solve the following system of equations by graphing.
y = -1/2 - 1
y = x - 4

Answers

Answer:

Convert Equation 1 to slope-intercept form.

y

=

x

+

4

The two equations have the same slope,  

m

=

1

, therefore they are perpendicular and there is no solution to this linear system. The two lines have no points in common.

graph{(x+y-1)(x+y-4)=0 [-10, 10, -5, 5]}

Step-by-step explanation:

Do Now
The ratio of girls to boys in a classroom is 3.1. How many boys are there in the classroom if
it has 12 girlS

Answers

Answer: 4

Step-by-step explanation:

To find out how many boys are in the classroom you must divide 12 from 3 to find the rate of change. 12/3= 4 so then you multiply 1*4 to find out how many boys are in the classroom. 1*4=4

Hope this helps ;)

Answer:

4 boys

Step-by-step explanation:

3:1 is the ratio of girls to boys

Lets girls be g and boys be b

G=3

B=1

G=12     12/3=4 and what you do to one side you do to the other it is multiplied by 4 so

B=1 time 4 =4

1) Can a line have a slope of 1.25? Exp

Answers

Yes a line can have a slope of 1.25 if you do the math you should find the answers
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