victor is selling lemonade to raise money for his school the amount of money he collected from his sales each day is summarized on the box plot below

9514 1404 393

Answer:

  (a)  3/2

Step-by-step explanation:

The scale factor is the ratio of corresponding side lengths.

 sf = 63/42 = (21×3)/(21×2) = 3/2

Answer:

Are there any choices?..

The correct statement the describes the equation is The lines intersect at (1, 0) and the lines are parallel.

x - y = 1.............equation 1

y - x = 1.............equation 2

Add equations (1) and (2):

(x - y) + (y - x) = 1 + 1

Simplifying

0 = 2

Since 0 = 2, the system is inconsistent, meaning there is no solution. The lines represented by the equations are parallel and will never intersect.

The system of equations has no solution, as the lines represented by the equations are parallel and will never intersect.

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The complete question is- Which statement describes the graph of the system of equations?

[x-y=1

Ly- X= 1

The lines are parallel.

The lines are coinciding.

The lines intersect at(1, 0).

The lines intersect at (-1,0).

False. The equation \(x = x2u + x3v\) describes a line through the origin, not a plane.

The equation \(x = x2u + x3v\) describes a line through the origin, not a plane. This equation can be written as \(x = x2u + x3v\), which is the same as \(ux2 + vx3 - x = 0\). This equation is in the form of \(ax + by + cz = d\), with a = u, b = v, c = -1, and d = 0. Since the coefficients of \(x2, x3\), and x are all non-zero, we can conclude that this equation describes a line, not a plane. To confirm, we can calculate the direction vector for the line. The direction vector is (u, v, -1), which is a single vector and not two or more vectors that would be necessary to describe a plane.

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The expression illustrates that C. Yes, Alexandra's work is correct.

The expression is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

The expression is given as:

= (18 + 3²) ÷ 3²

= (18 + 9) ÷ 9

= 27 ÷ 9

= 3

In this case, the work is correct.

Therefore, the correct option is C.

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Step 1: Pick any two points

The points are represented as (x1,y1), (x2,y2).

where x1= -4, y1= -8, x2= 0, y2= 4

Step 2: Write out the formula of the equation to use

Step 3: Substituting the values and to get the equation

The equation that represents the graph is y= 3x+4.

Option A is the correct answer.

1a) An equation that gives the width `y` of the book, if it has `x`-hundred pages printed on bond paper is; y = ¹/₂ + ¹/₄x

1b) Ledger paper has a thickness of 2/5 in. per `100` pages, the equation is; y = ¹/₂ + ²/₅x

2) The equation will be; y = ²/₃ +¹/₄x

1) We are told that the front cover and the back cover have a thickness of 1/4 inches and they also have a thickness of 1/4 inch. Thus;

The addition of both gives to the book thickness of;

1/4 + 1/4 = 1/2 inch, despite how many pages the book  has.

We are told that for every hundred pages, a thickness of 1/4 inch is added to the book, then the equation is:

y = ¹/₂ + ¹/₄x

where;

y is the width of the book in inches.

x is every hundred pages printed on bond paper.

1b) If ledger paper has a thickness of 2/5 in. per 100 pages, then the equation is now;

y = ¹/₂ + ²/₅x

2) If both front and back covers now, have a thickness of 1/3 inches instead of 1/4 inches each, then the equation will be;

y = 2(1/3) +¹/₄x

y = ²/₃ +¹/₄x

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Answer:

y = 55x

Step-by-step explanation:

This is a straight line graph - this means that the equation of the line can be written in the form y = mx + c, where m = the gradient of the line (how quickly it goes up or down) and c is a constant that determines how high or low the 'origin' of the line is.

The first thing to do is to find the m, or gradient, of the line. This can be done using a simple rule that you must remember: rise over run. What this means is, between two points on the line, you must find how much higher the second point is than the first, then divide this by how far right the second point is to the first.

Let's do the calculations:

Rise = 165 - 55 = 110 (point 2 is 110 units higher than point 1)

Run = 3 - 1 = 2 (point 2 is 2 to units to the right of point 1)

Now divide these, rise over run:

110 / 2 = 55, therefore m = 55.

So now we have m, but how do we find c? We can substitute the x and y of one the points on the line into y = mx + c, alongside our value of m = 55.

I'll use point 1 for this example, as the numbers are smaller (y = 55, x = 1).

55 = 55 * 1 + c

Now, solve the equation to find c:

55 = 55 + c

0 = c

c is therefore 0! But this is not always the case, so watch out...

We have found all the numbers we need, but don't forget to write out the full equation! After having calculated m and c, we know the equation of the line is y = 55x (+ 0).

Answer:

a³b

Step-by-step explanation:

(ab²)³/b⁵

= a³b⁶/b⁵

= a³b

the difference of elevation between a and b.Let AB = x, tan 36 = x/111.356 ,x = 111.356 tan 36= 64.39 m and Difference in elevation = 64.39m

We are given that two ridges B and C form a valley with a point A at the bottom part with an elevation difference of 111.356m between the ridges and and angle of elevation of 36 degrees at point A. To find the difference of elevation between A and B, we use the formula of tangent which is tan θ = Opposite/Adjacent. We substitute the values and solve for x, which is the elevation difference between A and B. So the difference in elevation between A and B is 64.39m.

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Therefore , the solution of the given problem of unitary method comes out to be once more administer maths and science quizzes on the same day.

The well-known minimalist approach, current variables, and any crucial elements from the initial Diocesan tailored query can all be used to accomplish the work. In response, you can be granted another chance to utilise the item. If not, important impacts on our understanding of algorithms will vanish.

Here,

List the multiples of each integer until we discover a common multiple as one method to determine the least common multiple:

=> 8, 16, 24, 32, 40, 48, 56, 64, 72, and 80 are all multiples of 8.

=> 6, 12, 18, 24, 30, 36, 42, 48, 54, and 60 are multiples of 6.

As an alternative, we can use the prime factorization technique to identify the smallest common multiple:

=> 8's prime factors are 2 x 2 x 2

=> 6's prime factors are 2 x 3

=> 2 x 2 x 2 x 3 = 24

We can see that 24 is the smallest common multiple once more, and in 24 days,

Mrs Hopkins will once more administer maths and science quizzes on the same day.

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Answer:

D 12rad2 12rad2 24

Step-by-step explanation:

The function  \(f(x) = (x^2 - 9)^3\)   is continuous on the entire real number line because its domain is the entire real line and it is a polynomial, which is a continuous function.

The function   \(f(x) = (x^2 - 9)^3\)   is continuous on the entire real number line because its domain is the entire real line and it is a polynomial, which is a continuous function. A function is considered continuous at a point if the limit of the function as the input approaches the point exists and is equal to the function's value at that point. In this case, the function's domain is the entire real line, meaning that it is defined for all real values of x. The function is also a polynomial, which is a continuous function by definition. Thus, the function is continuous on the entire real number line.

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Answer:she has 4 weeks worth of lunch money

Step-by-step explanation:first 5×2=10

Then 10×4=40

Answer:

x = 33

Step-by-step explanation:

4x - 14  = x + 85

3x = 99

x = 99/3

x = 33

Answer: 9/20

Step-by-step explanation:

1) Find the Least Common Denominator (LCD) of 3/4 and 3/10. In other words, find the Least Common Multiple (LCM).

The LCM would be 20

2) Make the denominators the same as the LCD

3*5/4*5 - 3*2/10*2

3) Simplify

15/20 - 6/20

4) Now combine both fractions because they have the same denominator.

ANS= 9/20

Answer:

A.) Students who do not play sport are more likely to play a musical instrument than students who do play sport.

Step-by-step explanation:

Student who do not play sport and play musical instruments = 7

Student who do play sport and play musical instrument = 6

7 > 6 ; Hence, statement A is true

Answer:A

Step-by-step explanation:

I got it right on khan academy

Answer:

You can add graph by using the edit button and uploading a picture of the screen. if you then cut the picture before uploading so it just shows the graphand not the question. We cna then try answer for you.

Step-by-step explanation:

Generally graphs starting at point x=0 would show a different value for y by looking and counting up to its temperature.

if this shows positive it would be above the x axis line if it shows negative it would be a minus value below the x axis line under zero on y.

Therefore when we get to hr 2 and see this change you can count across and count up and see the rate of change is either 1,2,3,4,56,7,8 etc difference or 1x 2x 3x 4 x 5x 6 x as multiples.This then indicates a scale change at certain points.

The number of people who Said It Takes Them Less Than 30 Minutes To Get To Work is: 18

Dot plots are used to present data in the form of points or small circles. It is similar to a simplified histogram or bar graph in that the height of the bar made up of points represents the numerical value of each variable. Dot plots are used to represent small amounts of data.

From the given dot plot, we are told that each dot is used to represent 2 people and as such, we see that the number of dots of people who Said It Takes Them Less Than 30 Minutes To Get To Work is: 9 dots

Thus:

Number of people the 9 dots represents = 9 * 2 = 18 people.

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Answer:

200

Step-by-step explanation:

We have:

\(4(-1+2-3+4-5+6-7...+100)\)

We can rearrange the numbers to obtain:

\(4((-1-3-5-7-...-99)+(2+4+6...+100))\)

From the left, we can factor out a negative. So:

\(4(-(1+3+5+7+...+99)+(2+4+6...+100))\)

In other words, we want to find the sum of all the odd numbers from 1 to 99.

And the sum of all the even numbers from 2 to 100.

Let's do each one individually:

Odd Terms:

We have:

\((1+3+5+7+...+99)\)

We can use the arithmetic series formula, where:

\(S=\frac{k}{2}(a+x_k)\)

Where k is the number of terms, a is the first term, and x_k is the last term.

Since it's all the odd numbers between 1 and 99, there are 50 terms.

Our first term is 1 and our last term is 99. So, the sum of all the odd terms are:

\(S=\frac{50}{2}(1+99})\)

Divide the fraction. Add within the parentheses:

\(S=25(100)\)

Multiply:

\(S=2500\)

So, the sum of all the odd terms is 2500.

Even Terms:

We have:

\((2+4+6+...+100)\)

Again, we can use the above formula.

Our first term is 2, last term is 100. And since it's from 2-100, we have 50 even terms. So:

\(S=\frac{50}{2}(2+100)\)

Divide and add:

\(S=25(102)\)

Multiply:

\(S=2550\)

We originally had:

\(4(-(1+3+5+7+...+99)+(2+4+6...+100))\)

Substitute them for their respective sums:

\(4(-(2500)+2550)\)

Multiply:

\(4(-2500+2550)\)

Add:

\(=4(50)\)

Multiply:

\(=200\)

So, the sum of our sequence is 200.

And we're done!

Note: I just found a way easier way to do this. We have:

\(4\cdot(-1+2-3+4-5+6-7+...+100)\)

Let's group every two terms together. So:

\(=4((-1+2)+(-3+4)+(-5+6)...+(-99+100))\)

We can see that they each sum to 1:

\(=4((1)+(1)+(1)+...+(1))\)

Since there are 100 terms, we will have 50 pairs, so 50 times 1. So:

\(=4(50)\)

Multiply:

\(=200\)

Pick which one you want to use! I will suggest this one though...

Edit: Typo

The range, standard deviation, and variance of the numbers of medals won by these countries are 28, 8.845, and 78.2353, respectively.

A range is given to a parameter to allow maximum leverage to the parameter. for example, if a vendor wants a rod of diameter 20 cm, then he may give a range of ±1 cm., which means he will accept the rod of 19(20-1) cm to 21(20+1) cm.

The range  of the numbers of medals won by these countries is,

Range =  Max - Min = 29 - 1 = 28

To find the standard deviation we need to know the following details,

Now, the standard deviation of medals won by these countries is,

\(\sigma = \sqrt{\dfrac{\sum x^2 - \frac1n (\sum x)^2}{n-1}}\\\\\sigma = \sqrt{\dfrac{\4372 - \frac{234^2}{18}}{18-1}}\\\\\sigma = 8.845\)

The variance of the numbers of medals won by these countries is,

v = σ²

v = 78.2353

Hence, the range, standard deviation, and variance of the numbers of medals won by these countries are 28, 8.845, and 78.2353, respectively.

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Three reasons why the other method is not better is because to use drawing program would mean you would need some sort of technology and electricity to use it and some places, like third world countries, do not have access to that, so most probably you would have to resort to paper. Also, drawing programs are based off the skills needed to create geometric figures with a straightedge and compass. And lastly, what if we had no more technology anymore? Then how would we use a drawing program? Drawing programs are only reliable when electricity is located.

SO THE ANSWER IS A hope it help :)

I believe that there is a need for students to understand and be able to construct geometric figures using a compass and straightedge.

The compass and straightedge can be used anywhere. The compass and straight edge have been around for lots of years. They are a valuable tool for students in math and in real world applications. The compass and straightedge are portable and handy to use any given time. That is why there is a need for students to understand and be able to construct geometric figures using a compass and straight edge.

The compass and straight edge have been used to accurately create geometric figures for thousands of years. This shows that they are accurate and useful to us. Using technology is less reliable for many reasons. Technology can break, or glitch and shut down, making you lose all your work. You cannot draw on physical objects with an iPad like you could with a pencil or pen. Having a physical copy of things makes things easier to keep track of. Having a blueprint would be better than having a drawing on your phone. You can get another blueprint, but if your phone breaks and that drawing isn't saved, it's gone.

These are only a few reasons why I believe that there is a need for students to understand and be able to construct geometric figures using a compass and straightedge.

Answer:

it's C

and that is because it's 1313

The measure of angle G is 78 degree. for better understanding check the calculation here

From the given diagram the measure of angle I is 102 degrees.

In a cyclic quadrilateral,  the sum of opposite angles are supplementary .

The sum of opposite angles are equal to 180 degrees.

\(m < I +m < G = 180\\\)

Substitute the value of angle I and solve for angle G

\(m < I +m < G = 180\\\\m < I=102\\102+m < G=180\\\)

subtract 102 on both sides

\(102-102+m < G=180-102\\m < G=78\)

The measure of angle G is 78 degrees.

Option C is correct

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When a whole number greater than 1 has a negative integer exponent, the value of the expression is greater than zero but less than one.

The standard format of an exponential expression is given as follows:

\(a^b\)

In which:

When we have a negative exponent, the equivalent expression with a positive exponent is obtained inverting the base.

If we have a positive base greater than one to a negative exponent, we invert the base, meaning that it is less than one with a positive exponent, hence the value of the expression is greater than zero but less than one.

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The highest height for the daily rainfall were for 5 and 6 inches

Dot plots are used to present data in the form of points or small circles. It is similar to a simplified histogram or bar graph in that the height of the bar made up of points represents the numerical value of each variable. Dot plots are used to represent small amounts of data.

From the given dot plot, we see the number of times for each height of rainfall.

Thus, we see that the highest number of times of rainfall height was from that of 5 and 6 inches.

Thus, we conclude those were the highest heights for the daily rainfall.

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For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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The absolute value function that matches the graph is given as follows:

y = -|x + 1| + 1.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex in this problem are given as follows:

(-1, 1).

Hence:

y = a|x + 1| + 1.

The function is reflected over the x-axis with a slope of -1, hence the leading coefficient a is given as follows:

a = -1.

Thus the function is:

y = -|x + 1| + 1.

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-13y + 7 - 11 - 4y can be written as -17y - 11.

Expression is a way of conveying emotions, thoughts, or ideas through verbal or nonverbal means. It is often used to communicate an individual's feelings, beliefs, or opinions, and can be expressed through language, art, music, dance, and other forms of communication. Expression can be used to convey a wide range of emotions, from joy and excitement to anger and sorrow. Expression is an essential part of communication, and without it, we would not be able to effectively convey our thoughts, feelings, and desires. The way we express ourselves can also be a reflection of our personality and can give people an insight into who we are. Expression is also important for self-expression, as it allows us to explore our own thoughts and emotions, and express them in a way that may be more comfortable for us.


This can further be written as -17y × (-1) - 11. Therefore, the expression can be written as a multiplication as -17y × (-1) - 11.

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Answer: C

Step-by-step explanation:

The slope is

\(\frac{2-6}{6-0}=-\frac{2}{3}\)

This eliminates all the options except for C.

The linear and exponential equations for the amount of money in the banks indicates;

TCF Bank Equation

y = 100·x + 1000

Well Fargo Bank Equation

y = (1.06)ˣ

The number of years it will take for both accounts to have the same amount of money is about 17 years

An exponential equation is an equation of the form; y = a·bˣ, where the input variable, x is an exponent.

The equation for calculating the amount in each bank, based on the details are;

TCF Bank;

Amount invested = $1,000

Amount added each year = 100·x

Well Fargo Bank Equation

The percentage of the amount earned as interest each year = 6% = 0.06

The exponential equation for compound interest amount is; y = 1000·(1 + 0.06)ˣ

Therefore; y = 1000·(1.06)ˣ

When the amount in the two accounts have the same amount of money, we get;

1000·(1.06)ˣ = 100·x + 1000

Therefore; (1.06)ˣ = (100·x + 1000)/1000 = 0.1·x + 1

(1.06)ˣ = 0.1·x + 1

Solving the above equation using the substitution method and graphing indicates that we get;

x = 0, and x ≈ 17.125732

Therefore, it takes about 17 years for the two accounts to have the same amount of money

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The number of points to be removed from the graph is 2

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

The graph

From the graph, we can see that

2 points have the same y coordinates

Another 2 points have the same y coordinates

For it to be a function, one of the 2 points must be removed each

So, we have the number of points to be removed from the graph is 2

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