The ratio of bananas to mangoes to oranges is 3:4:5.If there are 180 mangoes and oranges . How many fruits are there altogether ​

Answers

Answer 1
Mangoes = 4/9 x 180 = 80
Oranges = 5/9 x 180 = 100
Bananas = 3/9 x 180 = 60
Bananas:mangoes:oranges = 3:4:5 = 60:80:100
Total number of fruit = 60 + 80 + 100 = 240

Related Questions

Choose the most convenient method to graph the line x=8.

Select the correct answer below:


Recognize the equation as that of a vertical line passing through the x-axis at 8

Recognize the equation as that of a horizontal line passing through the y-axis at 8

Identify the slope and y-intercept and then graph

Find the x- and y-intercepts and then graph

Answers

Answer:

Recognize the equation as that of a vertical line passing through the x-axis at 8

Answer:

the first option : vertical line passing through the x-axis at 8.

Step-by-step explanation:

x = 8

is a special case of a line equation.

it means that it contains all points for which x = 8.

so, e.g.

(8, -26), (8, - 7), (8, 0), (8, 3), (8, 57), ...

in other words, any y value is possible, but x is constant 8.

therefore, it is one vertical line going through 8 on the x-axis.

the is therefore no y-intercept.

this line equation maps all y values from -infinty to +infinity to the x value of 8. and FYI - it is therefore not a function (where each x value has exactly one assigned y value).

the slope of such a line is infinite or even more accurate undefined.

as the slope is y difference / x difference, x difference is always 0. something divided by 0 is officially undefined and often considered as infinite.

the opposite extreme is something like

y = 8

this is now the line that contains all points with y = 8.

any x-value is possible, but y is always 8.

that is a horizontal line that goes through the y-axis at 8.

and in fact, this is a function, as every x value has exactly one assigned y value (they are all 8, but that does not matter).

there is no x-intercept, of course.

and the slope is 0, as the slope is y difference / x difference, and the y difference is always 0. 0 divided by something is 0.

Alexander Efland has a savings account that earns 5.5% interest compounded daily. On May 5, the amount in the account was $28,214.35. How much interest will the money earn in the next 90 days?

Answers

Using compound interest, it is found that $390.6 was earned in interest in the next 90 days.

What is compound interest?

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.

In this problem, the parameters are:

P = 28214.35, r = 0.055, n = 365, t = 3/12 = 0.25.

Hence the amount after 90 days is:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(90) = 28214.35\left(1 + \frac{0.055}{365}\right)^{365 \times 0.25}[/tex]

A(90) = $28,604.95

28604.95 - 28214.35 = $390.6 was earned in interest in the next 90 days.

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gary cycled a total of 8 kilometers by making 4 trips to work. How many trips will gary have to make to cycle a total of 10 kilometers?

Answers

7 cause that’s what I got

Answer:

5

Step-by-step explanation:

Each trip adds up to 8/4 = 2 km

According to this, to travel 10 km is required:

10/2 = 5 trips

Hope this helps

what is the value of h(2)

a) -2
b) -1
c) 0
d) 3

Answers

Answer:

  (c)  0

Step-by-step explanation:

The answer to this question requires that you read a graph.

How to read a graph

Finding the value of h(2) means finding the value of "y" that corresponds to x=2.

The x-axis of this graph is identified by the "x" at the right side, under the arrow at the end of the x-axis. The y-axis is similarly identified by the "y" to the right of the y-axis at the top of the graph.

Each axis is labeled with numbers.

To find the y-value associated with x=2, first find the vertical line labeled 2 on the x-axis. It is 2 grid squares to the right of the y-axis.

Follow this vertical line until you reach the point where it intersects the line segment(s) representing h(x). At one of these, you encounter a solid dot. At the other point of intersection, you see an open circle (empty dot). The open circle means the point is not included in the function graph.

The value of h(2) is the y-value at the point where the vertical line x=2 meets the defined point on the function graph, the solid dot. The y-value is found by following the horizontal grid line to the y-axis, and reading the y-value there.

The point on this graph where the axes cross, the "origin," has no markings indicating the x- and y-values are zero there. You must infer that from the markings that are shown.

Value of h(2)

The point on the graph where x=2 lies on the horizontal line y=0. That is ...

  h(2) = 0

The next number in the series 0,7, 26, 63 is?

Answers

Answer:

124

Step-by-step explanation:

1^3-1=0

2^3-1=7

3^3-1=26

4^3-1=63

5^3-1=124

Hence the next one in the pattern is 124.

124
0 , 7 , 26 , 63 , … 1 3 − 1 = 0 2 3 − 1 = 7 3 3 − 1 = 26 4 3 − 1 = 63 5 3 − 1 = 124 Hence, the answer is 124.

Find the sum of the measures of the interior angles of the figure.

Answers

Answer:

[tex]\huge\boxed{\sf 900}[/tex]

Step-by-step explanation:

Sides of the figure = n = 7

Formula for measuring the interior angles of a polygon:

(n - 2)×180

Where n is the number of sides in the polygon

So,

Measure of interior angles in the figure:

= (n - 2) × 180

= (7 - 2) × 180

= 5 × 180

= 900

[tex]\rule[225]{225}{2}[/tex]

Answer: 720°

Step-by-step explanation:

- Assuming this is a regular hexagon, all the sides are equal and all the angles are equal

- One of the properties of a regular hexagon is that the sum of all the interior angles is 720°

- Since the sum of all the interior angles is 720°, this means each interior angle is 120°

hope this helps :)

Which of the numbers below are some potential roots of p(x) = x3 6x2 − 7x − 60 according to the rational root theorem?

Answers

The potential roots of the function p(x)=[tex]x^{3}+6x^{2} -7x-60[/tex] are -10,-5,3,15.

Given function p(x)=[tex]x^{3}+6x^{2} -7x-60[/tex]

We have to find the potential roots of the function according to rational root theorem.

Root is the solution of an equation usually expressed as a number or an algebraic formula.

The rational root theorem is used to find the potential roots of function.

For a polynomial function:

p(x)=p[tex]x^{n}[/tex]+..............................+q

The potential roots are:

Roots =±factors of q/factors of p

Th factors of 60 are =±1,±2,±3,±4,±5,±6,±10,±12.

The factors of 1 is ±1.

So we have factors are:±1,±2,±3,±4,±5,±6,±10,±12,±15,±20/±1

The  roots are =±1,±2,±3,±4,±5,±6,±0.

Factors:-10,-5,3,15.

Hence the potential roots are -10,-5,3,15.

Question is incomplete as it should includes options :-10,-7,-5,3,15,24

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In which quadrants do solutions for the inequality y≤x-4 exist?
OI, III, and IV
OI, II, and III
OI and IV
All four quadrants

Answers

Answer:

  (a)  I, III, and IV

Step-by-step explanation:

We want to identify areas on a graph where the solutions to an inequality might be found.

Boundary line

The boundary line for the inequality y ≤ 2/3x -4 has a positive slope and a negative y-intercept. That means it must pass through quadrants I, III, and IV.

Solution set

Quadrant II is above the line, but the y ≤ () inequality tells you the shading is below the line, where y-values are less than those on the line. There can be no solutions in quadrant II.

Solutions are found in quadrants I, III, and IV.

___

For reference, the second attachments shows the quadrant numbering.

Hi- I need help please to get my HS diploma...did not graduate :(

For the inequality y+4x≤x2+2, where is the graph shaded and is the curve solid or dotted?

Answers

Answer:

B

Step-by-step explanation:

first for the easy one : the curve line is dotted, if the line points are NOT part of the solution. and it is solid, if the points are included.

you know what the curve line indicates ? it indicates the points for which there is equality.

so, if there is a ">=" or "<=" relation, then that includes equality, and the curve is solid.

if there is only a true inequality ("<", ">"), then the curve is dotted, as the equality is not included.

so, I how this is now really clear.

in our case here (I suspect it really looks like this)

y + 4x <= x² + 2

we have a "<=" sign, so, the curve is ..., well ? ... well ? ...

well ? ... well ? ... solid !

and we still treat inequalities as much as possible as regular equalities.

so,

y <= x² - 4x + 2 (after subtracting 4x from both sides).

and now you see it, right ?

all y values that are smaller or equal to the quadratic expression.

SMALLER ! so, BELOW the curve (as the smaller y values are represented by the lower part of the y-axis).

If xm/x5=x7 and (x)=x¹2, then the value of m-r= A. 3 B. 4 C. 8 D. 12 If xm / x5 = x7 and ( x ) = x¹2 , then the value of m - r = A. 3 B. 4 C. 8 D. 12​

Answers

The difference between m and r from the given expressions is 8

Indices and exponents

Given the following exponents

x^m/x^5=x^7

x^m = x^5 * x^7

x^m = x^12

Equate the powers

m = 12

For the expression

(x^r)³ = x^12

x^3r = x^12

3r = 12

r = 4

Take the difference

m - r = 12 - 4

m - r = 8

Hence the difference between m and r is 8

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how to find compound rate from given values, 10 years after, and initial

Answers

The formula that calculates the compound rate from the given values is [tex]r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})[/tex]

How to determine the compound interest rate?

The compound interest formula is:

[tex]I = P(1 + \frac rn)^{nt} - P[/tex]

Where:

P represents the principal amountr represents the compound interest raten represents the number of times the interest is compoundedt represents the time in yearsI represents the interest

We start by adding P to both sides

[tex]P + I = P(1 + \frac rn)^{nt}[/tex]

Divide through by P

[tex]\frac{P + I}{P} = (1 + \frac rn)^{nt}[/tex]

Take the nt-th root of both sides

[tex]\sqrt[nt]{\frac{P + I}{P}} = 1 + \frac rn[/tex]

Subtract 1 from both sides

[tex]-1 + \sqrt[nt]{\frac{P + I}{P}} = \frac rn[/tex]

Multiply through by n

[tex]r = n(-1 + \sqrt[nt]{\frac{P + I}{P}})[/tex]

In this case, t = 10

So, we have:

[tex]r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})[/tex]

Hence, the formula that calculates the compound rate is [tex]r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})[/tex]

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Here are the ages (in years) of 10 professors at a college. 49, 43, 53, 41, 33, 67, 55, 34, 75, 55 What is the percentage of these professors who are younger than 55? ​

Answers

Answer:

60%

Step-by-step explanation:

There are 6 professors younger than 55 (49, 43, 53, 41, 33, 34).

6/10 = 60%

PLEASE FIND THE COORDINATES!!!

Answers

The graph of the given equation is given below.

We have given the equation of the line is f(x)=-1/5x+4f(x)

We have to determine the coordination.

What are the coordinates of the line?

line coordinates are used to specify the position of a line just as point coordinates (or simply coordinates) are used to specify the position of a point.

Therefore we get f(x)=y

y=-1/5x+4....(1)

Plug x=0 in (1) then y=4

Plug x=5 in (1) then

y=-1/5(5)+4

=-1+4

=3

Therefore we get the coordinates (0,4) and (5,3)

Therefore the graph is given below,

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Solve for x
x - 20 + 2x = 35

Answers

[tex] \sf{\red{ANSWER \: \: :}}[/tex]

x = 18 1/3

[tex] \sf{\purple{EXPLANATION \: \: :}}[/tex]

x - 20 + 2x = 35

- 20 + 3x = 35

3x = 35 + 20

3x = 55

x = 55/3

x = 18 1/3

Different types of angels

Answers

Step-by-step explanation:

assuming you are looking for angles and not angels:

Zero Angle (0° in Measure)

Acute Angle (0 to 90° in Measure)

Right Angle (90° in Measure)

Obtuse Angle (90 to 180° in Measure)

Straight Angle (180° in Measure)

Reflex Angle (180 to 360° in Measure)

Complete Angle (360° in Measure)

Identify the underline place 75.733

Answers

Answer: Digit Place Value

                7                Tens

                5                Ones

                 .  

                7                Tenths

                3                Hundredths

                3                Thousandths

Step-by-step explanation: this should help its not the answer but it's support

The Customer Service Center in a large New York department store has determined that the amount of time spent with a customer about a complaint is normally distributed, with a mean of 8.9 minutes and a standard deviation of 2.8 minutes. What is the probability that for a randomly chosen customer with a complaint, the amount of time spent resolving the complaint will be as follows. (Round your answers to four decimal places.)


(a) less than 10 minutes


(b) longer than 5 minutes


(c) between 8 and 15 minutes

Answers

Using the normal distribution, the probabilities are given as follows:

a) 0.6517 = 65.17%

b) 0.0823 = 8.23%.

c) 0.6109 = 61.09%.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 8.9, \sigma = 2.8[/tex]

Item a:

The probability is the p-value of Z when X = 10, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{10 - 8.9}{2.8}[/tex]

Z = 0.39

Z = 0.39 has a p-value of 0.6517.

0.6517 = 65.17% probability that the time is less than 10 minutes.

Item b:

The probability is the one subtracted by the p-value of Z when X = 5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{5 - 8.9}{2.8}[/tex]

Z = -1.39

Z = -1.39 has a p-value of 0.0823.

0.0823 = 8.23% probability that the time is more than 5 minutes.

Item c:

The probability is the p-value of Z when X = 15 subtracted by the p-value of Z when X = 8, hence:

X = 15:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{15 - 8.9}{2.8}[/tex]

Z = 2.18

Z = 2.18 has a p-value of 0.9854.

X = 8:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{8 - 8.9}{2.8}[/tex]

Z = -0.32

Z = -0.32 has a p-value of 0.3745.

0.9854 - 0.3745 = 0.6109 = 61.09%.

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Consider the relationship 3r+8t=3

Answers

The function r =f(t) is f(t) = 1 - 8t/3

How to evaluate the function?

The function is given as:

3r + 8t = 3

Make r the subject

3r = 3 - 8t

Divide by 3

r = 1 - 8t/3

This means that:

f(t) = 1 - 8t/3

To calculate f(-3), we have:

f(3) = 1 - 8 * 3/3

Evaluate

f(3) = -7

Also, we have:

1 - 8t/3 = 2

Add 2 to both sides

-8t/3 = 3

Solve for t

t = -9/8

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Complete question

Consider the relationship 3r+8t=3

Write the relationship as a function  r = f(t)

Evalute f(-3)

Solve for f(t) = 2

cting Polynomials: Practice
Question 1 of 5
Select the correct answer.
Let p(x) be a polynomial as shown below, and let b be an integer.
p(=) = a₁ + a₁ + a₂=² + ... + an In
Which of the following is true regarding the sum and difference of p(x) and b?
O
The sum-and difference of p(x) and b are integers.
The sum and difference of p(x) and b are polynomials.
The sum of p(x) and b is a polynomial, and the difference is an integer.
The sum of plx) and b is an integer, and the difference is a polynomial.
Submit
Reset

Answers

The option that's true regarding the sum and difference of the polynomial p(x) and b is B. The sum and difference of p(x) and b are polynomials.

How to illustrate the information?

From the information given, it was stated that p(x) is a polynomial and is given as p(=) = a₁ + a₁ + a₂=² + ... + an.

In this case, it should be noted that the sum and difference of p(x) and b are polynomials.

They can't be integers as the function given is represented as a polynomial.

In conclusion, the correct option is B.

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Find the quotient: 40 ÷ 7

Answers

Answer:

5.71428571429

Step-by-step explanation:

Most teachers would be okay if you left it as 40/7, but in case they’re picky, just enter it into a calculator.
You should get around 5.714.
Or you can use long division. Remember that 40 is the same thing as 40.000

John and 2 friends are going out for pizza for lunch. They split one pizza and 3 large drinks. The pizza cost $14.00. After using a $7.00 gift certificate, they spend a total of $12.10. Write an equation to model this situation, and find the cost of one large drink.

Answers

Answer:

$2.55

Step-by-step explanation:

2d + $14.00 – $7.00 = $12.10; $2.55

hello please help with my question, I will give brainlyest!

Answers

No, John is incorrect.

Correct work shown:

[tex]\sf x^2 - 6x - 7 = 0[/tex]

[tex]\sf x^2 - 6x = 7[/tex]

[tex]\sf x^2 - 6x + 9= 7 + 9[/tex]

[tex]\sf (x-3)^2= 16[/tex]

[tex]\sf x-3=\pm \sqrt{16}[/tex]

[tex]\sf x-3= \pm 4[/tex]

[tex]\sf x= + 4 + 3 \quad or \quad x = -4 + 3[/tex]

[tex]\sf x= 7 \quad or \quad x = -1[/tex]

The correct answer should be x = 7 or x = -1

Which of the following is a valid probability distribution? Probability distribution A is shown. The probabilities of 1, 2, 3, 4, 5 and 6 are all 0.2. Probability distribution B is shown. The probability of 1 is 0.1; 2 is 0.2; 3 is 0.3; 4 is 0.3; 5 is 0.2; 6 is 0.1. Probability distribution C is shown. The probability of 1 is 0.1; 2 is 0.2; 3 is 0.4; 5 is 0.1; 6 is 0.1. Probability distribution D is shown. The probability of 1 is 0.2; 2 is 0.1; 3 is 0.1; 4 is 0.5; 5 is 0.1.

Answers

Considering the given probability distribution, distribution D is valid.

When a probability distribution is valid?

A probability distribution is valid if:

There are no negative probabilities.,The sum of all probabilities is of 1.

In this problem:

For distribution A, the sum is of 1.2, hence it is not valid.For distribution B, the sum is of 1.2, hence it is not valid.For distribution C, the sum is of 0.9, hence it is not valid.For distribution D, the sum is of 1, hence it is valid.

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Analyze the diagram below and complete the instructions that follow.




Find m
A. 15°
B. 30°
C. 75°
D. 150°
Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

I believe the answer to be c 75°

Step-by-step explanation:

a 4 sided shape is 360 total degrees

Be sure that you show all of your work to reach your answer. Each step must be on a separate line. Your method to reach your answer must be clear and include explanations.

Be sure to only round at the last step for your final answer.


You plan to purchase a house for $525,000 and you will make a 20% down payment. You are evaluating two mortgages a 30-year fixed mortgage at 2.72% and a 15-year fixed mortgage at 2.25%. Your goal is to have a monthly payment that fits within your budget.

a. Which mortgage will give you the lowest monthly payment? What will that payment be? How much less will this be than the other monthly mortgage payment?

b. Assuming you take the full term of the mortgage, which mortgage will result in you paying the most interest? What will that interest be? How much more will this be than the interest on the other mortgage?

R= regular monthly payment
p= amount financed, or principal
r= rate written as a decimal
n= number of payments per year
t= number of years

Needs to be easy to read.

Answers

The mortgage that will give the lowest monthly payment is EMI1 which translates to $ 1,708.16; and method one will require payment of the highest interest.

What is mortgage?

A mortgage is an arrangement between you and a lender that provides the lender the right to repossess your property if you fail to repay the loan plus interest.

Mortgage loans are used to purchase a property or to borrow money against the value of an existing home.

What is the calculation for the above?

Given that:

Total amount = $525,000

Down payment = 20% = 0.2

Method 1: Time is 30 years and rate is 2.72%

Method 2: Time is 15 years  and the rate is 2.25%

Loan amount  = total amount less down-payment

= 525,000  - (0.2 * 525,000)

= $420, 000

Using Method 1

Given that t = 30 year or 360 months

r = 2.72% or 0.0272

EMI1 =  [ 420, 000 * (0.0272/12) * ( 1 + (0.0272/12)³⁶⁰]/ [( 1 + (0.0272/12)³⁶⁰ -1]

= [952  * 2.259]/1.259

EMI1 = $ 1,708.16

Using Method 2

t = 15 years or 180 months

Rate = 2.25% or 0.0225

EMI2 =  [420,000 * (0.0225/12) * ( 1 + (0.0225/12)¹⁸⁰]/ [( 1 + (0.0225/12)¹⁸⁰ --1]

= [787.5 * 1.401]/0.401

EMI2 = $2,751.34

Assuming you take the full term of the mortgage, which mortgage will result in you paying the most interest?

Method 1

Interest = EMI1 x total months - loan amount

=  1,708.16 x 360 - 420,000

= $194, 937.6

Method 2

Interest = EMI2 x total months - loan amount

2,751.34 x 180 - 420,000

= $75,241.2

From the above method 1 requires the highest interest.

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4. The following set of points belong to a specific function: {(-3,0)(-2,4), (-1,0 ), (0,-6),(1,-8), (2,0),(3,24)} Based on the set of points answers the following questions:
a) What type of function does the set of points produce? Justify your answer.
b) Write an equation for this function based on the set of points that have been given.

Answers

The type of function that these sets of points are known to produce is the cubic function.

What is a cubic function?

This is a function that is known to be a polynomial of degree 3. This type of polynomial is one that the coefficients are known to be complex numbers.

This is a cubic function given that the x axis is known to go through these points (-3,0), (-1,0), (2,0).

b. Given the sets of pints that we have, we have the equation

f(x) = a(x+3)(x+1)(x-2)

Such that

f = -2 =

4 = a x 1 x -1 x -4

4 = 4a

a = 1

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In Washington county , 850 homes were sold in 2017 . How many homes was sold in the southwest region.

Answers

The number of homes sold in the Southwest region in 2017was B. 102.

What are Regional Sales?

Regional sales refer to the sales recorded by marketing and sales regions through which an organization distributes its products and services.

Recording sales by region helps management to determine regional managers' performances and contributions to the sales efforts.

Data and Calculations

Sales in Washington county:

Southeast = 48%

Southwest = 12%

Northwest = 25%

Northeast = 15%

Sales of homes in the Southwest region = 102 (850 x 12%)

Question Completion with Answer Options:

A. 1,020

B. 102

C. 588

D. 1,231

Thus, the homes sold in the Southwest region in 2017 were B. 102.

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What is the measure of 2 if 1 is (4x - 4) and 2 is (4x)?

Answers

The measure of <2 is 92 degrees

How to solve for 2?

The complete question is in the attached image

The angles are given as:

<1 = 4x - 4

<2 = 4x

The sum of angles on a straight line is

<1 + <2 = 180

So, we have:

4x - 4 + 4x = 180

Evaluate the like terms

8x = 184

Divide by 8

x = 23

Substitute x = 23 in <2 = 4x

<2 = 4 * 23

Evaluate

<2 = 92

Hence, the measure of <2 is 92 degrees

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The fine schedule for overdue books at the county library is modeled by the values in the table.

Library Fines for Overdue Books
Days overdue
Amount of fine
0
0 ¢
2
5 ¢
4
10 ¢
6
15 ¢
8
20 ¢
10
25 ¢

Which equation best models the fine schedule for overdue books?

Answers

Thus, the required equation is given by Y = 5/2X.

Given data can tabulate is
Days overdue(x)  = 0  2  4  6  8  10

Amount of fine(y) = 0  5  10  15  20  25

What is equation?

equation is the relationship between variable and represented as     is example of polynomial equation.

Since, the as for every value of x, y grows linerely.

Equation can be given as for every 2 step of x, y increase 5 steps
therefore, y = 5/2x

Thus, The required equation is given by  y = 5/2x

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A square has a perimeter of 12x+25 units. Which expression represents the side length of a square and units

Answers

Answer:

3x+13 units

Step-by-step explanation:

square perimeter of 12x +52 units

perimeter= 12x +52

12x + 52= 4(sides)

divide both sides by 4 = 12x/4 + 52/4= 3x+13

which give you 3x +13 units

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