Suppose line g is the line with equation y=x. Given ​A(6​,-2​), ​B(​6,3​), and C(-2,-6), what are the coordinates of the vertices of A'B'C' for the reflection?
NEED ANSWER ASAP
Rg

Answers

Answer 1

Answer:

A'(-2, 6)B'(3, 6)C'(-6, -2)

Step-by-step explanation:

Reflection across the line y=x swaps the x and y coordinates:

  (x, y) ⇒ (y, x)

The image points are ...

  A(6, -2) ⇒ A'(-2, 6)

  B( 6, 3) ⇒ B'(3, 6)

  C(-2, -6) ⇒ C'(-6, -2)


Related Questions

Evaluate. Write your answer as a fraction or whole number without exponents. 10^-3

Answers

10⁻³ is equal to 1/1000 or 0.001.

What are Exponents?

Exponents are a shorthand way of representing repeated multiplication of a number by itself. They are indicated by a superscript number placed to the right and above the base number.

The superscript number represents the number of times the base number is multiplied by itself. For example, 2³ means 2 multiplied by itself three times, which equals 8.

Exponents are used to simplify large and small numbers, and are fundamental to algebraic and mathematical calculations. Exponents have several rules, such as the power of a power rule, product rule, quotient rule, and negative exponents rule.

10⁻³ can be evaluated as:

1 / 10^3 = 1 / 1000

Therefore, 10⁻³is equal to 1/1000 or 0.001.

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someone help plss I don’t get this!!!!!!!

someone help plss I dont get this!!!!!!!

Answers

Answer:

The graph showing the temperature change over time is missing.

Step-by-step explanation: The slope of the line in the graph is the rate of temperature change per minute.

1. Calculate the slope between for each of the 3 ranges listed. Slope is rise/run: Take two points at the upper and lower boundaries of each range. You should have three sets of points:

e.g., (0,100) and (340, 175); (345, 176) and (360, 180); finally (360,185) and (380, 200). I made these up, since there is no graph. but the x values, the time in minutes, correspond to the ranges requested.

If the slopes are diferent, then explain that the rate of temperature rise is different for each segment.

3. Time is 360 + 60 = 420, temperature is 80: (420,80)

2 1⁄7 × 3 3⁄4 × 5 1⁄3 =
plz help me :,(

Answers

Answer:

42 6/7

Step-by-step explanation:

For me what i usually do is i convert the mixed number into a fraction, which for example:

Example and Explanation: Step 1

so since the number 7 is the denominator and the 2 is the mixed number, we can multiply these numbers, 2 x 7 = 14, then we add our numerator which in this case, is one, 14 + 1 = 15, and since the denominator stays the same, our fraction now is 15/7. We do the same for the others:

3 3/4:

3 x 4 = 12 + 3 = 15 = 15/4

5 1/3:

5 x 3 = 15 + 1 = 16 = 16/3

Now that they are all fractions we can finally do the multiplication

Multiplying Fractions: Step 2

Multiplying fractions does not require that the fractions have the same denominator. Instead, the numerators are multiplied with each other and the denominators are multiplied with each other. However, the resulting fraction may not be in lowest terms so it may need to be reduced. So since this is a three step multiplication problem, we will multiply two fractions first.

In this case I chose 15/7 x 15/4. so we just multiply from there, 15 x 15 = 225, and  7 x 4 = 28. So our fraction is 225/28, now we will multiply the other fraction: 225/28 x 16/3 which comes out to 3,600/84. Wow, thats a big number, now its time to..

Reduce: Step 3

This fraction is far too big to be a proper answer, so we will reduce, also known as simplifying.  

Find the Greatest Common Factor (GCF) of 3600 and 84, if it exists, and reduce our fraction by dividing both numerator and denominator by it. GCF = 12,

=3600÷1284÷12=3007

Converting to a mixed number using long division with remainders for 300 ÷ 7.

300÷7=42r6

Therefore:

300/7 = 42 6/7

I am so sorry if i am wrong

HELP ME ASAP ILL GIVE BRAINILEST

HELP ME ASAP ILL GIVE BRAINILEST

Answers

Answer:

1) 9/49

Step-by-step explanation:

Let's start with the original equation,

7^-2 * (-3)^2

First, we'll solve for the individual parts. Remember that the negative exponent rule is x^-2 -> 1/x^2

1/49 * 9

This is equivalent to 1/49 * 9/1 which is 9/49

9/49

This cannot be simplified any further so your final answer is 9/49

How do I solve this arithmetic sequence?

How do I solve this arithmetic sequence?

Answers

Arithmetic sequence means you add a constant d to a term to get the next.
In other words, a1 = 13, then
a2 = a1 + 4 = 13 + 4 = 17
a3 = a2 + 4 = 17 + 4 = 21
And so on.
There is a formula to find larger terms.
Since a2 = a1 + 4
a3 = a2 + 4
= (a1 + 4) + 4
= a1 + 2*4
a4 = a3 + 4
= a1 + 2*4 + 4
= a1 + 3*4
And so on, notice the pattern:
an = a1 + (n-1)*d
a6 = a1 + 5*d = 13 + 5*4 = 13 + 20 = 33

Answer:

The 6ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 13

Common Difference = (d) = 4

Now, For 6ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₆ = 13 + (6 - 1) × 4

a₆ = 13 + 5 × 4

a₆ = 13 + 20

a₆ = 33

Thus, The 6ᵗʰ term of this sequence is 33

-TheUnknownScientist

I WILL MARK AS BRAINLIEST

I WILL MARK AS BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

B

Answer:

The answer is B.

Step-by-step explanation:

Plz mark as brainliest I only have one and need 4 more to reach the next rank. If you would, that would help me greatly.

how do i graph this? plz help

how do i graph this? plz help

Answers

Step-by-step explanation:

So this is Slope intercept form. Or y = mx+b

M is the slope, b is the y intercept.

Now. We have 5/3 as the slope, or y/x, and -9 and the y intercept.

Start from the point (0,-9) (y intercept)

Go up 5 (In 5/3)

Go to the right 3 (in 5/3)

And graph where that lands.

Answer:

(0,-9) and (3,-4)

Step-by-step explanation:

the first point would go to -9 on the y axis

then the second one would go from that point (0,-9) go up 5 and go to the right 3 getting you the second point of (3,-4)

how do i graph this? plz help

If I have 304 pages in a book and am on page number 264. How many pages are left?

Answers

Answer:40

Step-by-step explanation:304

                                           -264

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

                                            40

Answer:

40

Step-by-step explanation:

Just do 304-264=40

PLS RATE AS BRAINLIEST ANSWER

Help please yes ok lol

Help please yes ok lol

Answers

a. The ratio of rows of corn to beans is 13 : 12 or 13/12 or 13 to 12.

b. The ratio of rows of lettuce to the total number of rows in the garden is 5 : 52 or 5 to 52 or 5/52.

a. The ratio using the word 'to' is corn to beans.

What are ratio and proportion?

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

We know a ratio between a and b can be written as a : b, a/b or a to b.

From the given information the ratio of rows of corn to beans is,

corn/beans = 13/12 Or 13 : 12 Or 13 to 12.

The ratio of rows of lettuce to the total number of rows in the garden is,

lettuce/total number of rows in the garden = 5/52 Or 5 : 52 Or 5 to 52.

The ratio using the word 'to' is corn to beans.

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I need the answers to #1-#6 ASAP!

I need the answers to #1-#6 ASAP!

Answers

Answer:

the answer to 1 is 24.5

Step-by-step explanation:

i believe

I need help solving this step by step. Work would be nice so I can look and understand it so I can try a different problem. ​

I need help solving this step by step. Work would be nice so I can look and understand it so I can try

Answers

Answer:

I need points, sorry, i cant help

Step-by-step explanation:

Warren has 40 coins (all nickels, dimes, and quarters) worth $4.05. He has 7 more nickels than dimes. How many quarters does Warren have?

Please provide a detailed explanation and steps on how to do

Answers

If  he has 7 more nickels than dimes. The number of quarters that Warren have is 7.

How to determine the number of quarters?

Let coins be:

n + d + q = 40

Where;

n = nickels

d =dimes

q = quarters

Hence,

.05n + .10d + .25q = 4.05

n = d + 7

Substitute (d+7) for n

(d+7) + d + q = 40

2d + q = 40 - 7

2d + q = 33

q = (33-2d)

So,

.05(d+7) + .10d + .25q = 4.05

.05d + .35 + .10d + .25q = 4.05

15d + .25q = 4.05 - .35

.15d + .25d = 3.70

Substitute (33-2d) for q

.15d + .25(33-2d) = 3.70

.15d + 8.25 - .5d = 3.70

.15d -.5d = 3.70 - 8.25

-.35d = -4.55

Divide both side by -/35d

d = -4.55 / -.35

d = 13 dimes

Nickels

n = d+7 where d is 13

n = 13 + 7

n = 20 nickels

Quarters

q = (33-2d)

q = 33 - 2(13)

q = 33 - 26

q = 7 quarters

Therefore 7 is the quarters.

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Review the four points shown on the polar coordinate
system.
Which point represents (3. - *)?
7/2
2003
03
O point A
O point B
O point C
O point D
57/6
2/6
B
A
0
2
4
6
D
7706
11-06
4903
503
3,2
Mark this and return
Save and Exit
Next
Submit

Review the four points shown on the polar coordinatesystem.Which point represents (3. - *)?7/2200303O

Answers

Answer:

A edge 2021

Step-by-step explanation:

Point A Represents (3,-5π/3).

What is a polar coordinate?

The distance from a point to the origin (r) and the angle this line makes with a fixed line (Θ) are the two coordinates that specify where a point is located in a plane.

The radius of circle is 3 units.

The angle in the polar coordinate measured clockwise is considered negative and measured anticlockwise as positive.

In order to get the position of the angle from the x-axis the angle should be added by 2π as

Θ = 2π-5π/3

Θ = π/3

The angle is calculated clockwise.

From the diagram point, A represents the angle  π/3.

Thus, the Point A Represents (3,-5π/3).

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pls do step by step. i’ll give a lot of points

pls do step by step. ill give a lot of points

Answers

According to the information, the volume of the new package will be:\(V = 197.07^{3}\)

How to calculate the volume of the new packaging?

To calculate the volume of the new package we must perform the following procedure:

\(V = \pi r^{2} h\)

According to the above, we must substitute the values of the radius and the height to obtain the volume of the new package. If we increase the diameter by 2 in, then the new diameter will be 9.8 in. On the other hand, the radius will be:

9.8 in / 2 = 4.9 in

So, to find the volume we must solve the following formula:

\(V = \pi * 4.9 * 12.8\)

\(V = 197.07^{3}\)

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Data were collected on the weight, in ounces, of puppies for the first three months after birth. A line of fit was drawn through the scatter plot and had the equation w = 4.75 + 0.5d, where w is the weight of the puppy in ounces and d is the age of the puppy in days.

What is the w-intercept of the line of fit and its meaning in terms of the scenario?



4.75; a puppy who is just born is predicted to weigh 4.75 ounces

4.75; for each additional day after the puppy is born, its weight is predicted to increase by 4.75 ounces

0.5; a puppy who is just born is predicted to weight 0.5 ounces

0.5; for each additional day after the puppy is born, its weight is predicted to increase by 0.5 ounces

Answers

The correct answer is: 4.75; a puppy who is just born is predicted to weigh 4.75 ounces.

What is slope intercept form of line?

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The equation of the line of fit is w = 4.75 + 0.5d, where w is the weight of the puppy in ounces and d is the age of the puppy in days.

The w-intercept of the line of fit is the value of w when d = 0, that is, the predicted weight of a puppy when it is just born.

From the equation, we see that when d = 0, we have:

w = 4.75 + 0.5(0) = 4.75

Therefore, the w-intercept of the line of fit is 4.75 ounces, and its meaning in terms of the scenario is that a puppy who is just born is predicted to weigh 4.75 ounces.

So, the correct answer is: 4.75; a puppy who is just born is predicted to weigh 4.75 ounces.

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Solve the equation for all exact solutions where appropriate. Round approximate answers in degrees to the nearest tenth. Write answers using the least possible nonnegative angle measures. sin cos 0 - sin = 0 Choose the correct answer below. O A. {90°n, where n is any integer; B. {270°n, where n is any integer} C. {180°n, where n is any integer} OD. {0°}

Answers

To solve the equation sin(cos(0)) - sin(0) = 0, we first observe that cos(0) = 1. Substituting this value, we get sin(1) - sin(0) = 0. Since sin(0) = 0, we have sin(1) = 0.

The solutions to sin(x) = 0 are x = nπ, where n is an integer. Therefore, the only solution to the given equation in the interval [0,360°] is 0°.

However, if we consider all possible values of x, then the solutions are given by x = 180°n, where n is any integer. This is because sin(x) = sin(180° - x), and so sin(180°n + x) = sin(x) for all integers n and all angles x. Therefore, the answer is (C) {180°n, where n is any integer}.

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Determine the value of the 10% trimmed mean. (Round your answer to four decimal places.)

0.2, 0.21, 0.26, 0.3, 0.33, 0.41, 0.54, 0.57, 1.41, 1.7, 1.84, 2.2, 2.26, 3.06, 3.24

Answers

The value of the 10% trimmed mean is approximately 1.3027. To calculate the 10% trimmed mean, we need to trim off the lowest and highest 10% of the data and then find the mean of the remaining values.

First, let's sort the data in ascending order:

0.2, 0.21, 0.26, 0.3, 0.33, 0.41, 0.54, 0.57, 1.41, 1.7, 1.84, 2.2, 2.26, 3.06, 3.24

Next, we calculate the number of values to trim from each end:

10% of 15 (total number of values) = 0.1 * 15 = 1.5

Since we can't remove half a value, we round up to the nearest whole number, which is 2.

Now, we remove the two lowest and two highest values:

0.26, 0.3, 0.33, 0.41, 0.54, 0.57, 1.41, 1.7, 1.84, 2.2, 2.26

Finally, we calculate the mean of the remaining values:

(0.26 + 0.3 + 0.33 + 0.41 + 0.54 + 0.57 + 1.41 + 1.7 + 1.84 + 2.2 + 2.26) / 11 = 14.33 / 11 ≈ 1.3027

Rounding to four decimal places, the value of the 10% trimmed mean is approximately 1.3027.

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Determine if the given sequence is an arithmetic sequence. If it is, find the common difference, d.
-3, 0, 3, 6, ...
Is this an arithmetic sequence?
O No
O Yes

Answers

We need to solve this question using Arithmetic Progression concept. Yes the given sequence is Arithmetic and value of d is 3.

What do you mean by Arithmetic Progression?

A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms. One arithmetic progression with a common difference of 2 is the sequence 5, 7, 9, 11, 13, 15,...

The n-th term of the sequence (a n) is provided by: If the first term of an arithmetic progression is a and the common difference between each succeeding component is

{a {n}=a+(n-1)d},

If the AP contains m terms, then a m denotes the final term, which is provided by:

{a {m}=a+(m-1)d}.

The term "finite arithmetic progression" or "arithmetic progression" refers to a finite segment of an arithmetic progression. An arithmetic series is the total of a finite arithmetic progression.

Calculation

The given sequence is -3,0,3,6,....

 We know that an=a + (n-1)d where d is the common difference

  ⇒ 0= -3 + d

∴ d=3

So hence proved that the given sequence is arithmetic.

We need to solve this question using Arithmetic Progression concept. Yes the given sequence is Arithmetic and value of d is 3.

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true or false: a dummy variable is defined as a variable that has no effect on the regression equation. group of answer choices true false

Answers

A dummy variable defined as a variable that has no effect on the regression equation is false.

What is a dummy variable ?A dummy variable in regression analysis is often known as an indicator variable or just a dummy.It is one that accepts the values 0 or 1 to signify the lack or presence of any category effects that would be anticipated to affect the outcome. Dummy variables, such as education level or occupation, are frequently used in regression analysis to represent categorical variables with more than two categories. One dummy variable would only have a value of 1 for each observation in this scenario, and numerous dummy variables would be constructed to represent each level of the variable. Dummy variables are helpful because they make it possible for us to analyse categorical variables, which would otherwise be challenging to analyse due to their non-numeric nature. They can also aid in the validity of our findings and the control of confounding factors.

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hellpp the question is when you combine the like terms the numbers are in the picture so true or false answer asap pls​

hellpp the question is when you combine the like terms the numbers are in the picture so true or false

Answers

Answer:

False

Step-by-step explanation:

x+10 -2x-20

Combine like terms

x-2x = -x

10-20 = -10

-x-10  

This is not equal to x-10

Tell whether the angles are complementary or supplementary. Then find the value of x.

Tell whether the angles are complementary or supplementary. Then find the value of x.

Answers

Answer:

The angles are supplementary.

x = 31

Step-by-step explanation:

The way the two angles lay together and make a straight line shows that they are supplementary. Supplementary means that they add up to 180°

Use this idea to write an equation.

2x + 3x + 25 = 180

combine like terms

5x + 25 = 180

subtract 25

5x = 155

divide by 5

x = 31

Answer:

x = 31

Step-by-step explanation:

(3x + 25) and 2x are a linear pair and are supplementary, that is

3x + 25 + 2x = 180

5x + 25 = 180 ( subtract 25 from both sides )

5x = 155 ( divide both sides by 5 )

x = 31

If Figure A is R = 5 ft and Figure B is 2 ft and the Volume is 88 cu ft, so..

Whats the volume of Figure A?

If Figure A is R = 5 ft and Figure B is 2 ft and the Volume is 88 cu ft, so..Whats the volume of Figure

Answers

Volume of figure A is 1375 cu ft

What is scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.

Given,

Figure A ~ Figure B

In Figure A R = 5.

In Figure B R = 2.

Scale factor between Figure A and Figure B = 5/2

Volume of B = 88 cu ft

πR²h = 88

π2²h = 88

h = 88/4π

h = 22/π

Height of figure A = 5/2×height of figure B

Volume of figure A

= πR²h

= π5²×5/2×22/π

= 125 × 11

= 1375 cu ft

Hence, 1375 cu ft is volume of figure A.

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a unit of measurement equal to one thousand meters is_____

Answers

A unit of measurement which is equal to one thousands meters is known as one kilometers.

Different units of measurements are meters , kilometers, centimeters, millimeters and so on.Measuring small length basically we use centimeters and very small length in millimeters.Measuring medium length we use unit known as meters.When we have measure long distance unit which is used is known as kilometers.Relation between different units of length are:1centimeters is equal to  10 millimeters1 meter  is equal to 100 centimeters1 kilometers  is equal to 1000 meters

Therefore, the given units of measurement equal to one thousand meters is called one - kilometers.

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The fence around Stan's rectangular backyard is 48 feet. His yard is 3 feet longer than twice its width. What is the length of Stan's yard?

Answers

Answer: Length = 17 ft

Concept:

Here, we need to know how to find the perimeter of a rectangle.

Perimeter (rectangle) = 2 (l + w)

l = length

w = width

If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.

Solve:

**Disclaimer** I assume that the length is [3 feet longer than twice its width] because a [yard] would not use length to measure it. If it was, then you may refer to my answer. If it was not, then you may tell me and I will redo it.

Let x be the width

Let 2x + 3 be the length

Given information

Perimeter = 48 ft

width = x

length = 2x + 3

Given expression deducted from the question

Perimeter = 2 (l + w)

Substitute values into the expression

48 = 2 (2x + 3 + x)

Combine like terms in the parentheses

48 = 2 (2x + x + 3)

48 = 2 (3x + 3)

Expand parentheses and apply the distributive property

48 = 2 · 3x + 2 · 3

48 = 6x + 6

Subtract 6 on both sides

48 - 6 = 6x + 6 - 6

42 = 6x

Divide 6 on both sides

42 / 6 = 6x / 6

x = 7

Find the value of length

Length = 2x + 3 = 2(7) + 3 = 14 + 3 = \(\boxed{17}\)

Hope this helps!! :)

Please let me know if you have any questions

The fence around Stan's rectangular backyard is 48 feet. His yard is 3 feet longer than twice its width.

Work out m and c for the line: 2 x + 3 y + 1 = 0

Answers

Answer:

Step-by-step explanation:

Write in y = mx +c form

2x + 3y + 1 = 0

3y = -2x - 1

Divide the entire equation by 3

\(y =\dfrac{-2}{3}x-\dfrac{1}{3}\)

\(m = \dfrac{-2}{3}\\\\\\c=\dfrac{-1}{3}\)

There are 10 men and 6 women working at a company. A hiring committee of 4 staff members is selected by a supervisor. What is the probability that the committee is made up of 3 women and 1 man

Answers

The probability that the committee is made up of 3 women and 1 man is 0.01875

What is Probability?

This is the likelihood or chance that an event will occur.

If there are 10 men and 6 women working at a company and a hiring committee of 4 staff members is selected by a supervisor made up of 3 women and 1 man, the required probability will be:

Pr = 3/16 * 1/10

Pr = 3/160
Pr = 0.01875

Hence the probability that the committee is made up of 3 women and 1 man is 0.01875

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The table shows conversions for common units of length.

Unit of Length
Customary System Units
Metric System Units
1 inch
2.54 centimeters
1 foot
0.3048 meters
1 mile
1.61 kilometers

What is the conversion factor to convert kilometers to miles?

Answers

Answer:

1 kilometer

0.621371 miles

Step-by-step explanation:

Given data

In the given table we are presented with the conversion table for common units and we are required to present the conversion for kilometers to miles

Hence the conversion from kilometers to miles is presented below

1 kilometer

0.621371 mile

Express the first 10 terms of a sequence 2,5,8,11 in sigma notation

Answers

Answer

The first 10 terms of thjs sequence are 2, 5, 8, 11, 14, 17, 20, 23, 26, 29

Explanation:

You can notice that to get to the next term, you have to add 3.
So we add 3 every next term

What is the value of the expression below when w=4 and x=5

2w+4x

Answers

The value of the expression, 2w+4x, is 28 when w = 4 and x = 5.

According to the question,

We have the following expression:

2w+4x

We have the following values of w and x:

w = 4 and x = 5

Now, in order to find the value of the given expression, we will put these values in the expression.

So, we have this:

2*4+4*5

Now, we will first multiply the integers and then we will add the obtained results together:

8+20

28

Hence, the value of the expression, 2w+4x, is 28 when w = 4 and x = 5.

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Mrs. Ellis is shopping for school
supplies with her children. Hansen
selected 3 one-inch binders and 2 two-
inch binders, which cost a total of $20.
Pam selected 3 one-inch binders and 5
two-inch binders, which cost a total of
$32. How much does each size of
binder cost?

Answers

Let's call the cost of a one-inch binder "x" and the cost of a two-inch binder "y".

From the first piece of information, we know that 3 one-inch binders and 2 two-inch binders cost a total of $20:

3x + 2y = 20

From the second piece of information, we know that 3 one-inch binders and 5 two-inch binders cost a total of $32:

3x + 5y = 32

We now have two equations with two unknowns, x and y. We can solve for one of the unknowns by using either of the two equations and then substituting the result into the other equation.

Let's solve for x by rearranging the first equation:

x = (20 - 2y) / 3

Now we can substitute this expression for x into the second equation:

3((20 - 2y) / 3) + 5y = 32

Expanding and simplifying the left-hand side:

20 - 2y + 15y = 32

13y = 12

Finally, solving for y:

y = 12 / 13

So, each two-inch binder costs $12 / 13 = $0.92. And finally, we can use either equation to find the cost of a one-inch binder:

x = 20 - 2y = 20 - 2($0.92) = $1.08

So, each one-inch binder costs $1.08

Answer:

Each one-inch binder costs $2.67 and each two-inch binder costs $6.

Step-by-step explanation:

Let's call the cost of a one-inch binder "x" and the cost of a two-inch binder "y".

From Hansen's purchase, we know that 3x + 2y = $20.

From Pam's purchase, we know that 3x + 5y = $32.

We can use these two equations to solve for the cost of each size of binder. If we subtract the first equation from the second, we get:

2y = $32 - $20 = $12

So, y = $6, which is the cost of a two-inch binder.

Next, we can plug this value back into either of the original equations to find the cost of a one-inch binder:

3x + 2($6) = $20

Expanding the right side, we get:

3x + $12 = $20

Subtracting $12 from both sides, we get:

3x = $8

Finally, dividing both sides by 3, we find that:

x = $2.67

So, each one-inch binder costs $2.67 and each two-inch binder costs $6.

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