Peter says 3/4 of a pizza is always the same as 6/8 of a pizza. Nadia says while 3/4 and 6/8 are equivalent fractions, 3/4 and 6/8 of a pizza could represent different amounts.


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Peter Says 3/4 Of A Pizza Is Always The Same As 6/8 Of A Pizza. Nadia Says While 3/4 And 6/8 Are Equivalent

Answers

Answer 1

Peter is right and Nadia is wrong.

What are equivalent fractions?

Equivalent fractions are fractions that represent the same value, even though they look different.

Given is that Peter says 3/4 of a pizza is always the same as 6/8 of a pizza. Nadia says while 3/4 and 6/8 are equivalent fractions, 3/4 and 6/8 of a pizza could represent different amounts.

{ 1 } -

3/4 = (3 x 2)/(4 x 2) = 6/8

Peter is right.

Now -

3/4 = 6/8

So it could not represent two different quantities. So, Nadia is wrong.

{ 2 } -

3/4 = 6/8 = 9/12 = 12/15

These all represent the same quantity. Division of all the expressions will result in same value.

Therefore, Peter is right and Nadia is wrong.

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Related Questions

Which is more affected by skewness, the IQR or standard deviation? a.IQR b. Neither one is affected. c. Standard Deviation d.Both are affected the same amount.

Answers

Standard deviation affects the skewness more.

For skewed data, which should you use: IQR or standard deviation?

In data sets containing outliers or skewed distributions, the interquartile range is the most accurate indicator of variability.   It's unlikely to be impacted by outliers because it's based on numbers that come from the center half of the distribution.

What are IQR and Standard Deviation?

A measure of dispersion that demonstrates how closely a set of data's values resemble the mean is called standard deviation.

Outliers in a data set or a skewed data distribution might have an impact on the standard deviation.

Interquartile Range (IQR) is a spread indicator that depicts the variation between a data set's first and third quartiles.

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largest possible value of x and smallest possible value of x

Answers

Answer:

i think its answer 2

Write a linear function rule for the data in the a
table:
1
21314
y 12
y 12 18 24 30

Answers

The linear function rule for the given data is y = 6x + 6.

What is the Linear function?

A linear function is defined as an equation in which the highest exponent of the variable is always one.

The rule for the data in the given table:

x:  1   2   3   4

y: 12 18 24 30

The linear function rule for the given data can be found using the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.

Let's use the first and second points: (1,12) and (2,18).

The slope can be found using the formula:

m = (18 - 12) / (2 - 1) = 6

Next, we can use the slope and one point from the table to find the y-intercept:

b = y - mx = 12 - m × 1 = 12 - 6 × 1 = 6

So the linear function rule for the given data is:

y = 6x + 6

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2. a trapezoid has an area of 100 square units. what scale factor would be required to dilate the trapezoid to have each area?

Answers

If a trapezoid has an area of 100 square units, the scale factor that would be required to dilate the trapezoid to have each area is:

sqrt(A / 100)

To find the scale factor required to dilate a shape, you need to determine what ratio of the new area to the original area you want to achieve.

Let's call the scale factor "k". If the original area of the trapezoid is 100 square units, and the new area is "A", the relationship between the two areas can be expressed as:

A = k^2 * 100

So to find the scale factor required to achieve a specific new area, you can solve for k by dividing the new area by 100 and taking the square root:

k = sqrt(A / 100)

Note that: This equation assumes that the dilation is proportional, meaning that all dimensions of the trapezoid are scaled by the same factor.

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what set describes the zeroes of the function f(x)=6pi sin(4x) shown in the graph?

Answers

The set describes the zeroes of the function f(x)=6pi sin(4x) is C. {x|x = k/4π} for every integer k

How to solve this?

The function has zeroes at the x-intercepts in the graph.

If you look at the graph from 0 to π, you will see that the graph cuts the x-axis at 4 points.

They are at half of π/2, which is π/4, at π/2, at half point between π/2 and π, which is at 3π/4, and at π.

They are basically all multiples of π/4

Looking at the answer choices, option C is correct.

Plugging in k=1, k=2, k=3, and k=4 into the equation, we see that the zeroes are exactly what we saw.

Also, the negative side of the function holds true as well.


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wo linear equations in two variables have no solution. the equations are
a. Coincide
b. Cut the x-axis
c. Do not intersect at any point
d. Intersect only at a point

Answers

c. do not intersect at any point

what does a correlation coefficient of 0​ indicate?

Answers

Answer:

no linear relationship exists between the two variables being compared

Step-by-step explanation:

Which is more affected by skewness, the IQR or standard deviation? O IQR O Neither one is affected. O Standard Deviation O Both are affected the same amount.

Answers

Hence, the standard deviation is more affected by skewness compared to the IQR.

What is skewness?

Skewness is a metric for a distribution's asymmetry. When the left and right sides of a distribution are not mirror reflections, it is asymmetrical. Right (or positive), left (or negative), or zero skewness can all apply to a distribution.

According to question:

Skewness refers to the degree of asymmetry in a distribution and a skewed distribution has more observations on one side than the other. In a skewed distribution, the standard deviation is a better measure of spread as it takes into account the deviation of each data point from the mean. On the other hand, the interquartile range (IQR),

which is the difference between the 75th and 25th percentile, is less affected by skewness as it only considers the middle 50% of the data. Hence, the standard deviation is more affected by skewness compared to the IQR.

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20% of a is 11. what is a

Answers

Answer:

20% of 11 is 2.2

Step-by-step explanation:

11 x .20 = 2.2

reduce the fractions (2x+nx-2y-ny)/(7x-7y)

Answers

Reduced form of given fraction is (2 + n)/7

What is expression?

An expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them.

Given expression

(2x + nx - 2y - ny)/(7x - 7y)

It can be written as

[(2x - 2y) + (nx - ny)]/(7x - 7y)

Factoring out common factors

[2(x - y) + n(x - y)]/7(x - y)

Again factoring out common factor

(x - y)(2 + n)/7(x - y)

(2 + n)/7

Hence (2 + n)/7 is reduced form of the given expression.

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some of the girls with 0 weight gain actually lost weight. if we changed their 0's to negative numbers how would the average, median and sd change?

Answers

If we change the 0's to negative numbers then the average, median and SD. The average would b) decrease.

The average value calculated within a specific data set is referred to as the "mean.". This calculation can be used in any situation where knowing a data set's average value, such as its cost or income, may be deemed as useful.

By being aware of the average cost or income within a given data set, you can better position yourself to increase your profits or savings.

A normal distribution can have a mean that is negative in nature. When only some of the data points have negative values, this is both a possibility and a foregone conclusion;

however, if all of the data points have negative values as nature it should be noted that if a normal distribution has a negative mean, at least half of the data points in the distribution must also have a negative mean.

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Note that the full question is:

some of the girls with 0 weight gain actually lost weight. if we changed their 0's to negative numbers how would the average, median and sd change? the average would

a) increase

b) decrease

c) stay the same

Pls help asap ! . . . . . . . . . . .

Answers

The solution of the system of equation is , x= -4 & y= -8.

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

from the given graph we get,

one line is passing through the points (0,10) , ( 4,28)

so, the equation of the line can be,

4y= 18x + 40

and, second line is passing through the points (0,8) , (1,12)

so, the equation of the line can be,

y= 4x+8

solving the equations we get,

x= -4

y= -8

Hence, The solution of the system of equation is , x= -4 & y= -8.

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Please, open the attachment below i don't really understand the difference between earlier and later.

Answers

The amplitude, period, and zero value of the function y = 3cos(x+5) are (A) 3, 2π, later.

Option D is correct.

What is amplitude of a cosine function?

The amplitude of a cosine function is described  as half the difference between the maximum and minimum values of the function.

In the question given, the maximum value of the function y = 3cos(x+5) is 3 and the minimum value is -3, hence amplitude is:

A = (3 - (-3)) / 2 = 3

For a cosine function with a period of 2π, the maximum or minimum values repeat every 2π units along the x-axis.

In the question above, the period of the function y = 3cos(x+5) is:

P = 2π

in conclusion, the phase shift of a cosine function is the horizontal shift of the graph of the function along the x-axis, which is represented by the constant term (x+5) in this case.

Phase shift = later

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what is the value of 8x + 4 when x = -3

Answers

You would multiply 8•-3= -24+4= 20
So the answer is 20

-4(x-2)=-2(x-17/2)

solve for x. show your work.

Answers

Answer:  x= - 9/4

Step-by-step explanation:

1. Move the variable to the left, and change its sign.

-4x+8+2x=17

2. Collect like terms

-2x=17-8

3. Divide each side by -2

-2x=9

Answer: x= - 9/2

Two weeks ago, Andrew
cans of ping pong balls. Last
week, he bought 4 cans of ping
pong balls. This week, he bought
2 cans of ping pong balls. The
ping pong balls cost d dollars per
can. Write an expression in
simplest form that represents the
total amount that Andrea spent.

Answers

The expression in simplest form that represents the

total amount that Andrew spent would be = $8d

What are simple forms of representation of expressions?

The simple forms of representation of expression shows that all the values of that expression are in its simplest form.

In Andrew cans of ping pong balls,

Last week he bought = 4 cans

This week he bought = 2 cans

The cost of ping pong balls = d dollars per

can..

The total amount that Andrew spent would be;

= d × ( 4+2)

= $8d

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The teacher bought new crayons for her class. She bought 7 packs of 9 crayons. She already has 17 crayons in her classroom. She wants to divide the crayons evenly between her 10 students. Write an equation and show your work to determine how many crayons each student will receive. Use the variable for the number of crayons each student receives.
Please help!

Answers

Answer:

80 divded by 10 is c c=8

Answer pls 100 points!

Answers

The arc is 45 degrees out of 360 degrees or (45/360)

Equation: 45/360* x= 22 (x=circumference)

x* 360/45 = 176cm

Answer: 176cm


[tex]( {x}^{2} + x + 12) \div (x - 5)[/tex]
Divide Using synthetic division​

Answers

The division of the given expressions gives quotient as x + 6 and the remainder 42.

What is Synthetic Division?

Synthetic division is the method of division used to divide a polynomial expression with the binomial.

We have to divide x² + x + 12 by x - 5.

Write the coefficients of the dividend in the order of descending powers and the constant term in the binomial as :

 5 |     1    1    12

                       

Write the leading coefficient in the bottom row and then multiply the 1 written on the bottom row with 5 and write it beneath the next coefficient of the dividend.

 5 |     1    1    12

               5    

                       

          1    

Now add 1 + 5 to get 6 and write in the bottom row.

Repeat the process by multiplying 6 with 5 and adding up.

 5 |     1    1    12

               5   30

                       

          1    6   42

Here, 42 is the remainder and 1 and 6 are the coefficients of the quotient.

Quotient = x + 6

Remainder = 42

Hence the quotient and remainder are x+6 and 42 respectively.

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multiple choice giving brainliest and 100 points!!!
please please please ill answer anything you need

Answers

When solving the system of equation you will end up with [ No solution]


Hence


Option C

List the decimal numbers 9.24, 9.1, 9.4, and 9.38 in order from least to greatest.

A 9.1, 9.24, 9.38, 9.4
B 9.24, 9.1, 9.4, 9.38
C 9.38, 9.4, 9.1, 9.24
D9.4, 9.38, 9.24, 9.1

Answers

A 9.1, 9.24, 9.38, 9.4

Find a possible formula for the trigonometric function whose values are in the following table.

Answers

The sine function with the values in the table is defined as follows:

y = 5sin(πx/2) - 1.

How to define the sine function?

The standard definition of the sine function is given as follows:

y = Asin(B(x - C)) + D.

For which the parameters are given as follows:

A: amplitude.B: the period is 2π/B.C: phase shift.D: vertical shift.

The function has a maximum value of 4 and a minimum value of -6, for a difference of 10 units, hence the amplitude is obtained as follows:

A = [4 - (-6)]/2

A = 10/2

A = 5.

Without vertical shift, a function with amplitude of 2 would oscillate between -5 and 5, while this one oscillates between -6 and 4, hence the vertical shift is given as follows:

D = -1.

The shortest distance between repetitions can be given by 4 - 0, hence the period is of 4 units and the coefficient B is given as follows:

2π/B = 4

B = 2π/4.

B = π/2.

The function is at it's midline at the origin, hence it has no phase shift, and thus the equation is given as follows:

y = 5sin(πx/2) - 1.

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in 2007 in the united states there were approximately 480 cars for every 1,000 people. the total number of cars in the united states in 2007 was closest to

Answers

Nearly 150,000,000 cars were registered in the US as a whole in 2007. China, India, and the United States are the three nations with the largest populations on earth.

Average lifespan and child mortality rate are indeed the two key metrics that most accurately reflect a citizenry's standard of living.

The population of the globe is projected to reach about 10 billion people in 2050. Africa and Asia will see the most expansion in population if indeed the patterns in demographic persist.

Cultural practices, governmental regulations, and monetary support, as well as female employment prospects as well as education levels, all have an impact on the overall birthrate of a community.

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WILL MARK BRAINLIEST!!! pls help

Answers

146ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

the perimeter of a rectangle is 48 inches. its width measures 14 inches.what is its length HURRY ANSWER

Answers

Answer:

length = 10 inches

Step-by-step explanation:

the perimeter (P) of a rectangle is calculated as

P = 2l + 2w ( l is the length and w the width )

here w = 14 and P = 48 , then

48 = 2l + 2(14)

48 = 2l + 28 ( subtract 28 from both sides )

20 = 2l ( divide both sides by 2 )

10 = l

then length is 10 inches

Calculate the distance between each pair of numbers on a number line.
1. 5 and -2
2. -8 and -17
3. 28 and -12
4. -17 and 15
5. 33 and -2

Answers

The required distance between each pair of numbers on a number line is below in the solution part.

What is Number Line?

In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.

1. The distance between 5 and -2 on a number line is |5-(-2)| = 7 units.

2. The distance between -8 and -17 on a number line is |-17-(-8)| = 9 units.

3. The distance between 28 and -12 on a number line is |28-(-12)| = 40 units.

4. The distance between -17 and 15 on a number line is |15-(-17)| = 32 units.

5. The distance between 33 and -2 on a number line is |33-(-2)| = 35 units.

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pls anyone i need it until 10 more mins

Answers

Answer:

$6.50

Step-by-step explanation:

25 - 6.25 = 18.75

18.75 - 3.75 = 15

15 - 8.50 = 6.50

write a reduced row echelon matrix for a linear system having three equations and three variables and having no solution.

Answers

A reduced row echelon form of a matrix is a way to solve a system of linear equations. A reduced row echelon matrix has the following properties:

The first non-zero element of each row (called a "pivot") is 1.Each pivot is the only non-zero element in its column.Rows with all zeros are at the bottom of the matrix.The elements above and below a pivot are zero.

For a system of three equations and three variables with no solution, the reduced row echelon form of the augmented matrix would be in the form:

\begin{bmatrix}

1 & a & b & c \

0 & 0 & 0 & d \

0 & 0 & 0 & e

\end{bmatrix}

where a, b, c, d and e are constants and d and e are non-zero.

This form indicates that the system has no solution because the bottom row represents an equation that is false (0 = non-zero).

Reduced Row Echelon Matrix

The reduced row echelon form of a matrix is a way to determine whether a system of linear equations has a solution. A system of linear equations has no solution if and only if the reduced row echelon form of the augmented matrix contains a row in the form of 0 = k, where k is non-zero.

In this case, the reduced row echelon form of the augmented matrix has the bottom row with the form 0 = d, and d is non-zero. This means that the equation is false, indicating that the system has no solution.

So, the fact that the bottom row of the reduced row echelon form has the form 0 = k, where k is non-zero, allows us to determine that the system of linear equations has no solution.

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you need to select a total of 3 team members from a pool of 16 eligible engineers. how many different possible teams could you come up with (note teams with the same engineers in it are the same team)

Answers

You can form 56,800 possible teams from a pool of 16 eligible engineers by selecting a total of 3 team members.

The total number of teams can be calculated using combination formula. The combination formula is nCr where n is the total number of items and r is the number of items you want to choose.

In this case, n = 16 and r = 3. Hence, the number of possible teams:

= 16Cr = 16! / (3! * (16-3)!) = 56,800

This means you can form 56,800 unique teams by choosing 3 engineers out of 16 eligible engineers. The combination formula helps in finding the number of possible combinations when the order does not matter, which is the case here as the order of engineers in a team does not matter.

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what is 2x1/3 plss hurry

Answers

Answer: 2/3

Step-by-step explanation: 1/3+1/3 is 2/3.

Answer:

Exact form:2/3

decimal form:       _

                           0.6

Step-by-step explanation:

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