A boat traveled across a lake and back. The trip across took 7 hours. The trip back took 10 hours. The speed of the boat for the first part was 3mph faster than the speed of the boat for the 2nd part. What was the rate of each part? (please include a table of how you got the answer )

Answer:

Use a calculator it is 9

Step-by-step explanation:

Clara’s wrapping paperweight friend is a conical shape with a slanted base.

Weight is a measure of the gravitational force that is object experience due to its mass weight is typically majority Newton's and all the formula of poet is mass it is an important factor in many activities such a sports exercise and even everyday task the amount of weight and absent carries affected it balance stability and momentum with is an important factor to consider when using mechanics.

It has a 3.14 π measurement and an area of 50.24 square centimeters. It weighs 125.6 grams. The conical shape of the paperweight gives it a unique look and allows it to stand easily on a flat surface. The slant base gives it a stylish look, as well as helping it to remain stable when placed on a flat surface. The paperweight is made from a durable material, making it perfect for use as a gift. The paperweight’s 3.14 π measurement and the 50.24 square centimeters area give it a unique and eye-catching look, making it a great gift for a friend. The paperweight is also lightweight at 125.6 grams, making it easy to transport and store. This makes it a great choice for wrapping and sending to a friend as a gift.

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The given rational numbers are expressed by simply cancelling the elements, 2x2(x-4) / x(x-1).

what is rational number ?

Rational numbers are those that may be defined as a ratio (or portion) of two integers. A fraction with a strictly positive denominator is said to be rational. A few instances with rational numbers are 1/2, 1/5, and 3/4. As little more than a positive integer, "0" can also be stated in a number of different ways, such as 0/1, 0/2, and 0/3. But 1/0, 2/0, 3/0, and so forth. The theme makes sense.

A rational number is produced when several integers are split. To get the rational number 7, divide ’s entire number 7 by the full number 1. Since 7 can be derived by dividing two integers, it is referred to as a real number.

given

= 2x² (x+2)(x-4) / x(x-1)(x+2)

= 2x²(x-4) /  x(x-1)

The given rational numbers are expressed by simply canceling the elements, 2x2(x-4) / x(x-1).

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The area of the play area is 8.74 square feet.

If Highwood Park has 420 feet of fencing, then we can use the formula f = 47(a + 9) – 16 to calculate the area of the play area.

This formula takes in account the area (a) of the play area, as well as the number of feet of fencing needed to enclose it (f).

In this equation, the number of feet of fencing (f) is equal to 47 multiplied by the area (a) plus 9, and then subtracted by 16.

Since we know that the amount of fencing is 420 feet, we can solve the equation for the area, a.

First, we need to subtract 16 from both sides of the equation. This leaves us with

=> 420 = 47a + 9.

Next, we subtract 9 from both sides of the equation, which gives us

=> 411 = 47a.

Finally, we divide both sides of the equation by 47, which gives us

=> a = 8.74.

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Types of quadrilaterals are parallelograms, rectangles, squares, rhombi, trapezoids, kites, and isosceles trapezoid.

A polygon having four sides and four angles are called a quadrilateral. Quadrilaterals come in a wide variety of forms, each with its own set of qualities and attributes.

Some of the most typical varieties are listed below:

Parallelogram - A quadrilateral has opposing sides that are equally long and parallel.

Rectangle - A parallelogram with all angles at 90 degrees is referred to as a rectangle.

Square - A rectangle with equally long sides.

Rhombus - A parallelogram with equal-length sides is referred to as a rhombus.

Trapezoid - A quadrilateral with just one set of diagonally opposed sides is called a trapezoid.

Kite - A quadrilateral has two sets of adjacent sides that are of equal length or a kite.

Isosceles trapezoid - An isosceles trapezoid is one with equally long non-parallel sides.

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32 ounces make up a quart. This is a common unit of measurement in the US and other nations that follow the imperial system. Two pints, four cups, or 0.946 liters make up a quart.

The Latin word quartus, which means "fourth," is where the word "quart" originates. This is due to the fact that a quart is 128 ounces or one-fourth of a gallon. A quart is a standard unit of measurement for liquid volumes in the dairy sector, as well as in cooking and baking.

In conclusion, the unit of measurement known as a quart is equivalent to 32 ounces or one-fourth of a gallon. It is frequently employed in dairy production, baking, and cooking. When measuring and preparing components, it's crucial to comprehend how to convert between quarts and other measurement units.

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The value of 105 lbs into kilogram can be converted by multiplying pounds by 0.453592 so the answer is 47.627 kilograms.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

The SI unit of mass is the kilogramme (kg). It has the same mass as the international kilogramme prototype. The International Bureau of Weights and Measures maintains a platinum-iridium international prototype similar to this one. A kilogramme is about equivalent to 2.20462262184878 pounds.

The legal definition of a pound, or the international avoirdupois pound, is 0.45359237 kilogrammes.

105 x 0.45359237 = 47.62719885

105 lbs ≈ 47.63 kg

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3x + 8 = 3x + x, which has one solution at x = 8 for the equation..

In arithmetic, a solution to the equation expresses can be substituted for the variable to provide a piece of real number information.

The equation is given as 3x+8=3x+ ____.

If 3x + 8 = 3x + 9 has no solution for the equation.

If 3x + 8 = 3x + 8 has infinite solutions for the equation.

If 3x + 8 = 3x + x is equal to 3x + 8 = 4x, which has one solution at x=8 for the equation.

Therefore, 3x + 8 = 3x + x, which has one solution at x = 8 for the equation.

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The question seems incomplete, the complete question would be as:

3x+8=3x+ ____

What value could you write in after 3x that would make the equation true for:

Group of answer choices

no values of x

[ Choose ]

all values of x

[ Choose ]

just one value of x

[ Choose ]

1/4 of all the students in the orchestra are girls who play string instruments.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Let's assume there are a total of 100 students in the school orchestra. Then, according to the problem, 2/5 of them are string players.

The number of string players is:

2/5 x 100 = 40

Out of these 40 string players, 5/8 are girls.

The number of girls who play string instruments is:

5/8 x 40 = 25

Therefore, the fraction of all the students in the orchestra who are girls who play string instruments is:

25/100 = 1/4

Therefore, 1/4 of all the students in the orchestra are girls who play string instruments.

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The one important use of the regression line is to make predictions about the values of y for a given x-value, the correct option is A

In statistics, linear regression is a linear approach for modelling the relationship between a scalar response and one or more explanatory variables. The case of one explanatory variable is called simple linear regression; for more than one, the process is called multiple linear regression.

We are given that;

The uses of regression line

Now,

The main purpose of a linear regression model is to find a linear equation of the formy^=mx+c

Here,

we can use the value of x to predict the value of y

Therefore, by regression line the answer will be A.

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Answer:

I don't really understand geo but if this is proof so u have to see if there is anything parallel perpendicular

Answer:

<1,6>

Step-by-step explanation:

We are adding vectors.  Add the first components together.  Then add the second components together.

<5, -2> + <-4, 8>

< 5+-4, -2+8>

<1,6>

Christopher needs to work 20 hours during the next week to earn $368.00, assuming he is paid the same hourly wage as the previous week.

What is the proportion?

A proportion is a statement that two ratios are equal. Ratios compare two quantities by expressing the relationship between them in terms of their sizes or amounts. A proportion can be written in the form of a fraction or a ratio, and it expresses the equivalence of two ratios.

We can solve this problem using proportionality. We know that Christopher earned $404.80 for working 22 hours, which means his hourly wage can be calculated as:

hourly wage = total earnings / total hours worked = $404.80 / 22 hours = $18.40 per hour

Now we can use this hourly wage to find the number of hours Christopher needs to work to earn $368.00. Let's assume he needs to work x hours to earn $368.00. We can set up a proportion based on the hourly wage:

$18.40 per hour = $368.00 / x hours

To solve for x, we can cross-multiply:

$18.40 per hour * x hours = $368.00

Simplifying the left-hand side:

x = $368.00 / $18.40 per hour

x = 20 hours

Hence, Christopher needs to work 20 hours during the next week to earn $368.00, assuming he is paid the same hourly wage as the previous week.

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The value 0.75 inches to mm is 19.05

in one inch = 25.4  millimeters

so in 0.75 inch is 0.75* 25.4 = 19.05 mm

customs (character: in or ″) is the unit of length in the British Imperial and US systems of measurement.1/36yard or1/12

one leg. A word derived from the Roman uncia ("twelfth"), the inch is sometimes used to convert similar units in other measurement systems that are usually understood to be derived from the width of the human thumb. .

The standard for the exact length of one inch has historically varied, but since its adoption by international shipyards in the 1950s and his 1960s, the inch has been based on the metric system and defined exactly as 25.4 mm. increase.

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Answer:

46 tickets

Step-by-step explanation:

$30 - $6.75 = $23.25 ÷ .50 = 46.5

You can't have half a ticket, so 46

Answer: 46 tickets

Step-by-step explanation:£23.25 are left after he has purchased his snack pack. because game tickets cost £0.50 , all you have to do is times 0.5 by the numbers given (46,48,23,75 ) until you get past the money limit which is £23.25

all i did was 46 x 0.5 which was £23

if i were to do 48 x 0.5 the answer i would get is £24, however, as you can see the amount of money greg has left is £23.25, which means 48 tickets is out of his budget

The value of x is 20, and the measures of the angles are:

H = 58°

I = 71°

J = 51°

We know that the sum of the interior angles of a triangle is always equal to 180°, and here we know that the measures are:

H = 3x - 2

I = 4x - 9

J = 3x - 9

Then we can write the linear equation:

3x - 2 + 4x - 9 + 3x - 9 = 180

And solve that for x.

10x - 20 = 180

10x = 180 + 20

10x = 200

x = 200/10 = 20

Then the measures of the angles are:

H = 3x - 2 = 3*20 - 2 = 58

I = 4x - 9 = 4*20 - 9 = 71

J = 3x - 9 = 3*20 - 9 = 51

So the correct option is C.

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Answer:

When x=3 the answer is 243

Step-by-step explanation:

3 to the power of 5 (3^5) is 243

Answer:

100000

Step-by-step explanation:

7+x⁵ = 250

x⁵ = 250 - 7

x⁵ = 243

⁵√243 = ⁵√x⁵

x = 3

Then:

(7+x)⁵ = (7+3)⁵ = 10⁵

10⁵ = 100000

The standard form of the polynomial f( x ) = ( x + 4 )² - 18 is f( x ) = x² + 8 - 2.

The standard form of a polynomial is expressed as;

ax² + bx + c

To write a polynomial in its standard form, we simplify and arrange the terms in descending order.

Given the function in the question;

f( x ) = ( x + 4 )² - 18

First, simplify using FOIL Method

f( x ) = ( x + 4 )( x + 4 ) - 18

f( x ) = x( x + 4 ) + 4( x + 4 ) - 18

f( x ) = x² + 4x + 4x + 16 - 18

Add like terms

f( x ) = x² + 4x + 4x + 16 - 18

f( x ) = x² + 8 - 2

Therefore, the standard form is f( x ) = x² + 8 - 2.

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Option A. If the alternative hypothesis of the test had been lower-tailed instead of two-tailed, the conclusion of the test would be different.

Recall that a two-tailed test is used when the alternative hypothesis is that the population parameter is different from the null hypothesis value in any direction, while a lower-tailed test is used when the alternative hypothesis is that the population parameter is less than the null hypothesis value.

In the given scenario, if the alternative hypothesis of the test had been lower-tailed instead of two-tailed, we would have tested the following null and alternative hypotheses:

H0: Pharaoh's translation is not worse than the other software's translation.

Ha: Pharaoh's translation is better than the other software's translation.

In this case, we would have calculated the p-value for the lower tail of the sampling distribution, and compared it to the significance level alpha. If the p-value is less than alpha, we would reject the null hypothesis and conclude that Pharaoh's translation is better than the other software's translation. If the p-value is greater than alpha, we would fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that Pharaoh's translation is better than the other software's translation.

Therefore, the correct answer to the question is option A: Unlike the two-tailed test, we would conclude that there is a difference between Pharaoh's translation and the translation of the other software.

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The values of the variables are x = 38 and x = 14

Triangle 1

From the question, we have the following parameters that can be used in our computation:

The triangle

Where, we have

x - 2 : 27 = 4 : 3

This gives

(x - 2)/27 = 4/3

This gives

x - 2 = 36

This gives

x = 38

Triangle 2

Here, we have

13/3x = 7/(2x - 5)

Cross multiply

26x - 70 = 21x

So, we have

5x = 70

Divide

x = 14

Hence, the value of x is 14

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A graph of the relationship modeled by the equation is shown in the image attached below.

If the graph continues, the point (28, 24) will not be on the graph.

The height of a picture when the total height of the picture with the frame is 38.5 cm would be 34.5 cm.

In this scenario, the total height of a picture in its frame (in centimeters) would be plotted on the y-axis of the graph while the height of the picture (in centimeters) would be plotted on the x-axis of the graph.

Based on the ordered pair (28, 24), we would determine if it lies on the graph of the equation:

y = x + 4

24 = 28 + 4

24 = 32 (False).

When the total height of the picture with the frame is 38.5 cm, the height of a picture can be calculated as follows;

y = x + 4

38.5 = x + 4

x = 38.5 - 4

x = 34.5 cm.

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Complete Question:

The equation y = x + 4 models the total height of a picture in its frame, y, in centimeters with respect to the height of the picture, x, in centimeters.

a. Graph the relationship modeled by the equation. Be sure to label the axes.

b. If the graph continues, will the point (28, 24) be on the graph?

c. Determine the height of a picture when the total height of the picture with the frame is 38.5 cm.

Answer:

1) -3^5 + 7x^4 - 15x^2 + 8x + 13

2) 12x^5 + 8x^3 - 2x^2 + 3

3) 9x^2 - 4x + 11

4) 8x^2 + 6x + 11

5) -32a + 12b - 3c

-3^5 + 2x^4 - 7x^2 + 8x + 9 + 5x^4 - 8x^3 + 10x^2 - 3x + 4

Combining like terms, we get:

-243 + 7x^4 - 8x^3 + 3x^2 + 5x + 13

9x^5 + 3x^2 - 6 + 2x^4 + 5x^3 - 4x^2

Combining like terms, we get:

9x^5 + 2x^4 + 5x^3 - x^2 - 6

3x^2 - 6 - 4x^2 + 7x^2 - 4x+11

Combining like terms, we get:

6x^2 - 4x + 5

-2x^2 + 10x^2 - 3x - 4x + 11

Combining like terms, we get:

8x^2 - 7x + 11

-19a + 7b - 8c + 5a - 32b + 23c - 22a + 5b - 20c

Combining like terms, we get:

-36a - 25b - 5c

Answer:

v=9+√481 20,  9−√481 20

Step-by-step explanation:

54 degrees Celsius is equivalent to 129.2 degrees Fahrenheit.

A temperature unit developed from the SI (International System of Units) is the Celsius (symbol: °C).

Prior to the adoption of the metric system, the Fahrenheit (symbol: °F) was a commonly used measurement of temperature.

Add 1.8 to the °C temperature.

To this number, add 32.

This is the response in degrees Fahrenheit.

To convert 54 degrees Celsius to Fahrenheit,

You can use the formula:

°F = (°C × 9/5) + 32

where °F is the temperature in Fahrenheit,

°C is the temperature in Celsius.

Substituting 54 for °C, we get:

°F = (54 × 9/5) + 32

°F = (486/5) + 32

°F = 97.2 + 32

°F = 129.2

Therefore, 54 degrees Celsius is equivalent to 129.2 degrees Fahrenheit.

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Answer: Math?!

Step-by-step explanation:

Using the concept of proportions, the time it takes to type 100 words is approximately 33 minutes

Let's first break down the problem and identify the given information:

The time it takes to type on a page of paper is partly constant and partly inversely proportional to the number of words.

It takes 1 hour to type 180 words.

It takes 45 minutes to type 120 words.

To solve for the time it takes to type 100 words, we can use the concept of inverse proportionality:

Let x be the time it takes to type 100 words.

We know that the time it takes to type is inversely proportional to the number of words, so we can set up the proportion:

time / number of words = constant

Using the given information, we can write two equations for the constant:

1 hour = k * 180 words

45 minutes = k * 120 words

where k is the constant of proportionality.

Solving for k in each equation:

k = 1 hour / 180 words = 1/180 hour/word

k = 45 minutes / 120 words = 3/8 minutes/word

Since we want to express the time it takes to type 100 words in minutes, we need to convert the constant to minutes/word:

1 hour = 60 minutes, so k = 1/180 * 60 = 1/3 minutes/word

45 minutes = 0.75 hours, so k = 3/8 * 60 = 22.5 minutes/word

Now we can use the constant to find the time it takes to type 100 words:

time / 100 words = constant

Plugging in the values we found for the constant:

x / 100 = 1/3 or x / 100 = 22.5

Solving for x:

x = (1/3) * 100 = 33.33 minutes (or approximately 33 minutes)

x = 22.5 * 100 = 2250 minutes (or approximately 37.5 hours)

We can discard the second solution (37.5 hours) since it doesn't make sense in the context of the problem.

Therefore, it will take approximately 33 minutes to type 100 words.

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The answers are:

a)the number we're looking for is [tex]2^{(-97.5)}[/tex], or approximately [tex]1.629 x 10^{(-30)}.[/tex]

b)the value of a is -13.

c) there were 61 people in the line before the second round of people squeezing in.

What is algebra?

Algebra involves solving equations and manipulating expressions to find the value of unknown quantities. It involves working with numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.

11. We can solve this problem by using the properties of exponents and algebra.

Let the number we're looking for be x. Then, we can write the equation:

x * 8⁶⁵ = 16⁵⁰

We can simplify the right side of the equation by using the property:

[tex]a^2 = (a^{1/2})^2[/tex]

So, we have:

[tex]16^{50} = (2^4)^{50} = 2^{(4*50)} = 2^{200}[/tex]

Now we can substitute this into the equation:

[tex]x * 8^{65} = 2^{200}[/tex]

We can simplify the left side of the equation by using the property:

[tex]a^n * b^n = (ab)^n[/tex]

So, we have:

[tex]x * (8^2)^{32.5} = (2^3)^{32.5} = 2^{(3*32.5)} = 2^{97.5}[/tex]

Now we can substitute this into the equation:

[tex]x * 64^{32.5} = 2^{97.5}[/tex]

We can simplify the left side of the equation by using the property:

[tex]a^{(n/2)} = (a^n)^{(1/2)}[/tex]

So, we have:

[tex]x * (2^6)^{32.5} = x * 2^{(6*32.5)} = x * 2^{195}[/tex]

Now we can substitute this into the equation:

[tex]x * 2^{195} = 2^{97.5}[/tex]

We can simplify both sides of the equation by dividing by [tex]2^{195}[/tex]:

[tex]x = 2^{97.5} / 2^{195}[/tex]

[tex]x = 2^{(-97.5)}[/tex]

Therefore, the number we're looking for is [tex]2^{(-97.5)}[/tex], or approximately [tex]1.629 x 10^{(-30)}.[/tex]

12. We can find the equation of the line using the two given points and then use the fact that the line passes through the origin to solve for a.

First, we can find the slope of the line using the two given points:

slope = (y2 - y1) / (x2 - x1)

slope = (3 - 9) / (40 - (2a + 50))

slope = -6 / (-2a - 10)

slope = 3 / (a + 5)

Now we can use the point-slope form of the equation of a line to write the equation of the line passing through the two given points:

y - 9 = (3 / (a + 5))(x - (2a + 50))

Simplifying this equation, we get:

y - 9 = (3x / (a + 5)) - (6a + 150 / (a + 5))

Now we can use the fact that the line passes through the origin to solve for a:

When x = 0, y = 0, so we can substitute these values into the equation:

0 - 9 = (3(0) / (a + 5)) - (6a + 150 / (a + 5))

-9(a + 5) = 6a + 150

Expanding and simplifying:

-9a - 45 = 6a + 150

-15a = 195

a = -13

Therefore, the value of a is -13.

14. Bree can organize her trip in different ways depending on how many countries she decides to visit. If she visits only one country, there is only one way to organize her trip. If she visits two countries, she can either choose to visit the second country or skip it, which gives her 2 possible ways to organize her trip. If she visits three countries, she has 2 options for the second country and 2 options for the third country (visit or skip), giving her a total of 2x2 = 4 ways to organize her trip. Following this logic, we can create a table to show the number of ways Bree can organize her trip for different numbers of countries:

Number of countries | Number of ways to organize a trip

1                                        1

2                                       2

3                                       4

4                                       8

5                                      16

6                                      32

7                                      64

Therefore, Bree can organize her trip in a total of 1 + 2 + 4 + 8 + 16 + 32 + 64 = 127 ways.

13. Let's start by working backward. After the second round of people squeezing in, there are 121 people in the line. Let's call the number of people in the line before the second round "x". Then we can set up an equation to represent this situation:

121 = x + (x-1)

The reason we have x-1 in the equation is that between each pair of people in the original line, one person squeezed in during the first round, so we have one less gap between people in the new line.

Simplifying the equation, we get:

121 = 2x - 1

Adding 1 to both sides, we get:

122 = 2x

Dividing both sides by 2, we get:

x = 61

Therefore, there were 61 people in the line before the second round of people squeezing in. But before the first round, there were also gaps between people, so the actual initial number of people in the line is one more than the number of gaps. Since there are x-1 gaps between x people, there were 60 gaps and therefore 61 initial people in the line.

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The true statement on the stemplot showing the data on states that people had visited is D. If the missing data were 50, the range of the data would change substantially.

Outliers can have a significant impact on the range of a dataset. The range is the difference between the largest and smallest values in a dataset.

If an outlier is very large or very small in comparison to the other values in the dataset, it can cause the range to be much larger than it would be without the outlier.

If 50 was the missing figure, then the range would therefore have to change substantially from :

= 31 - 8

= 23

To :

= 50 - 8

= 42

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Therefore, the vertices of ∆A'B'C' are located at (-18, -18), (-6, 12), and (0, -24), and the answer is not listed among the given options.

A triangle is a geometric shape that consists of three line segments or sides that intersect at three points called vertices. The interior angles of a triangle always add up to 180 degrees, and the side opposite to the largest angle is the longest side, which is called the hypotenuse. Triangles are commonly used in geometry and in many branches of mathematics, as well as in real-world applications such as engineering, architecture, and physics.

Here,

To reflect ∆ABC over the x-axis, we need to negate the y-coordinates of each vertex. Then, to dilate the reflected triangle by a scale factor of 3 about the origin, we need to multiply each coordinate by 3.

The coordinates of the reflected triangle will be (-6, -6), (-2, 4), and (0, -8). Multiplying each coordinate by 3, we get (-18, -18), (-6, 12), and (0, -24).

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Answer:

Number of $5 notes = 18

Number of $10 notes = 15

Step-by-step explanation:

Let the number of $5 notes be 'x' and the number of $10 notes be 'y'.

      Total number of notes = 33

                  x + y = 33 -------------------(I)

       The value of $5 notes = 5*x = 5x

       The value of $10 notes = 10 *y = 10y

          Total amount = $240

          5x + 10y = 240

Divide the entire equation by 5,

             [tex]\sf \dfrac{5}{5}x+\dfrac{10}{5}y=\dfrac{240}{5}\\\\[/tex]

                x + 2y = 48 -----------------------(II)

Multiply the equation (I) by (-1) and then add to equation(I) and so the x will be eliminated, and we can find the value of 'y'.

(I)* (-1)                -x -   y  = -33

(II)                      x + 2y = 48  {Now add}

                               y     = 15

                             [tex]\boxed{\bf y = 15}[/tex]

Substitute y = 15 in equation(I)

              x + 15 = 33

                      x = 33 - 15

                      x = 18

                          [tex]\boxed{\bf x = 18}[/tex]

Number of $5 notes = 18

Number of $10 notes = 15