Christy Peterson's total income last year was $77,340. Of that amount, she spent $7,240 on transportation costs and $2,100 on clothing. What
percent of Christy's total income did she spend on transportation and clothing combined? Round your answer to the nearest percent.

The percentage comparing the size of the large milkshake to the size of the small milkshake is 140%.

Let the size of small milkshake he x. So, the size of large milkshake will be 1.4x. Now, for percentage calculation the formula will be -

Percentage = size of large milkshake/size of small milkshake × 100

As we need to find the percentage of ratio, we need to simply take large and small size of milkshake.

Keep the values in formula -

Percentage = 1.4x/x ×100

Cancelling x from numerator and denominator

Percentage = 1.4 ×100

Performing multiplication

Percentage = 140%

Hence, the percentage is 140%.

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Line passing through AB is perpendicular. A pair of angles that are linear have an angle sum of 180 degrees. The lines are therefore shown to be perpendicular to one another because the angles are 90 degrees in size.

Two lines intersect to generate perpendicular lines, and the angle formed between the two lines must be 90 degrees (right angle).

Given,

Create another line perpendicular to AB passing through C on AB..

Line passing through AB is perpendicular.

Two lines are perpendicular if they cross at a point where a pair of linear congruent angles results. In a plane, a transversal is perpendicular to the other line if it is parallel to one of the two parallel lines.

A pair of angles that are linear have an angle sum of 180 degrees. The lines are therefore shown to be perpendicular to one another because the angles are 90 degrees in size. The linear pair perpendicular theorem is demonstrated by this.

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Answer:

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

We see that triangles MNO and MPQ are similar.

Corresponding sides of similar triangles are proportional:

The term "standard error of the mean" refers to the sample mean's standard deviation. And the formula for the standard deviation is σ/√n.

The square root of a random variable's variance is the standard deviation of a sample, statistical population, data collection, or probability distribution. Compared to the average absolute deviation, it is algebraically easier but less reliable in practice. The standard deviation has the advantage of being represented in the same unit as the data, unlike the variance, which is a desirable characteristic.

The standard error of a statistic (such the sample mean) is related to the standard deviation of a population or sample, however they are very different. Standard deviation of the population divided by the square root of sample size yields the standard deviation of the sampling distribution of means. "Standard error of the mean" is the term for the sampling distribution's standard deviation.

The term "standard error of the mean" refers to the sample mean's standard deviation.

And the formula for the standard deviation is given by σ/√n.

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the eigenvalues of the matrix a^ta t is λ(Ax).

What is matrix?

The plural version of the word matrix is a matrix, which refers to the arrangements of numbers, variables, symbols, or phrases in a rectangular table with varying numbers of rows and columns. These arrays have a rectangular shape, and several operations like addition, multiplication, and transposition are specified for them. The components of the matrix are referred to as its entries or numbers. Vertical and horizontal entries in matrices are referred to as columns and rows, respectively. A matrix with m rows and n columns will contain m n entries. The uppercase letter 'A', which here stands for "matrix," Aij.

Let λ be an eigenvalue of ATA, i.e.

ATAx=λx

for some x≠0. We can multiply A from the left and get AAT(Ax)=λ(Ax).

Hence the eigenvalues of the matrix a^ta t is λ(Ax).

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If the numbers denoting the perimeter and area of the square are equal, the length of the diagonal will be 4√2 units.

What are Area and Perimeter?

An object's shape defines a region as its area. The area of a figure or any other two-dimensional geometric shape is how much space it takes up in a plane.

The whole length encircling a shape is referred to as its perimeter. Simply put, if a shape is stretched into a linear form, its perimeter is its length. In a two-dimensional plane, a shape's perimeter is the sum of its total dimensions.

Let the side of the square to be 'a'.

If Area and Perimeter of a square are equal then,

So,  Area = Perimeter

      a^2 = 4a

we get, a = 4 units.

Now, we can find the diagonal by using Pythagoras theorem,

We know that, Hypotenuse^2 = Base^2 + Perpendicular^2

Here, the hypotenuse will be the diagonal of the square.

So, We have,

            Diagonal^2 = 4^2 + 4^2

                                = 16 + 16

                                = 32

∴ Diagonal = √32 = 4√2 units.

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Answer:

Use PEMDAS to solve by simplifying and isolating the variable.

Step-by-step explanation:

The appropriate null and alternative hypothesis for calculating number of gogles is H0 : No linear relation H1 : there is a relation

Correlation is a statistical measure that expresses the extent to which two variables are linearly related (meaning they change together at a constant rate).

It's a common tool for describing simple relationships without making a statement about cause and effect.

According to the question,

A group of scientist randomly selected 20 piknits from the sea-floor and measured their respective weights in grams.

Also, They wanted to know if the weight of the piknits can be used to predict the number of gogles.

From the given information,

Null hypothesis : H0 : There is no linear relationship between the weight of piknits and the number of gogles

Alternative hypothesis : Ha: There is a linear relationship between the weight of piknits and the number of gogles

Option 4 is correct about null and alternative hypothesis

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The solution range of the inequality {5x+7<3  and  3x-4>11} to is in range : x < -4/5 or x > 5.

Given are the following inequalities -

5x+7<3  and  3x-4>11

We have -

5x + 7 < 3

5x < - 4

x < -4/5

and

3x - 4 > 11

3x > 15

x > 5

So, we can write the solution of the inequality as -

x < -4/5 or x > 5

Therefore, the solution to the inequality is in range : x < -4/5 or x > 5.

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Answer:using gas

Step-by-step explanation:

Using the slope formula, the required equation is y = -4x + 1.

The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line.

The slope of a line can be used to gauge how steep it is.

The slope is theoretically determined as "rise over run" (change in y divided by change in x).

So, slope formula: m = y2 - y1/x2 - x2

Now we have: y = - 1/4 x + 6 and points (2, 9)

Now, substitute as follows:

(y-9) = -4(x+2)

In order to convert this equation into the slope-internet form, we can additionally solve it for y:

(y-9) = (-4*x+(4*2)

(y-9) = -4x - 8

y - 9 + 9 = -4x - 8 + 9

y - 0 = -4x + 1

y = -4x + 1

Therefore, using the slope formula, the required equation is y = -4x + 1.

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The value of the variable 'x' in the first case and the second case will be 9° and 1.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal. And the sum of the adjacent angles is 180°.

In part 61, the equation is given as,

100° + 9x - 1° = 180°

Simplify the equation, then we have

9x + 99° = 180°

9x = 81°

x = 9°

In part 62, the equation is given as,

22x - 1 = 21

Simplify the equation, then we have

22x - 1 = 21

22x = 22

x = 1

The value of the variable 'x' in the first case and the second case will be 9° and 1.

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Answer:

8 chess games are being played while 11 cribbage games are being played.

Let x represent the number of chess games and y represent the number of cribbage games.

Since there are 60 people, chess is a two-player game and cribbage is a four-player game, hence:

2x + 4y = 60  (1)

There are 3 more games of cribbage than games of chess, hence:

y = x + 3

-x + y = 3    (2)

Solving equations 1 and 2 simultaneously gives:

x = 8, y = 11

Therefore 8 chess games are being played while 11 cribbage games are being played.

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Step-by-step explanation:

After the discount and the tax, the total cost will be $24.19

So, suppose we have a known price P.

If we apply a discount of X (in percentage) then the new price will be:

P' = P*(1 - X/100%)

If instead, we apply an increase of X, the new price willbe:

P' = P*(1 + X/100%).

In this case the original price is $30, then we apply a discount of 25% and then an increases of 7.5%, then the total cost will be:

C = $30*(1 + 7.5%/100%)*(1 - 25%/100%)

C = $30*(1 + 0.075)*(1 - 0.25) = $24.19

That is the final cost of the jeans.

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Answer:

(6,12)

Step-by-step explanation:

(Hopefully you can see the work if not then sorry)

The equation to represent the total amount of money Richard make in an hour is  y = 9 + 2x    .

In the question ,

it is given that ,

Richard is working at a retail shop ,

let the number of membership sold in an hour be = "x" ,

let the total amount of money earned be = "y" .

amount of money earned in hour = $9 ,

amount that he gets for each membership sold = $2 .

So , According to the question ,

the equation that represent the given situation is given as

y = 9 + 2x

Therefore , the equation for the situation is y = 9 + 2x .

The given question is incomplete the complete question is

Richard works at a retail shop. he makes $9 an hour, plus $2 for each membership he sells. let x represent the number of memberships sold and y represent the total amount of money he will make in an hour. write an  equation represents this situation ?

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Answer:

no

Step-by-step explanation:

Dilatation is acutally for medicine and dilation is actually for phycology.

Answer:

In the linear function equation y = -7x + 1, the value of m (the slope of the line) is -7. The slope of a line represents the rate at which the y-value changes as the x-value changes. In this case, for every unit increase in the x-value, the y-value decreases by 7 units. Therefore, the function has a rate of -7.

To find the slope of a line from a linear function equation, you can use the formula m = (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are two points on the line. In this case, we can choose any two points on the line and substitute their coordinates into the formula to find the slope. For example, if we choose the points (1, -6) and (2, -13), we get:

m = (-13 - (-6)) / (2 - 1) = -7

Alternatively, we can use the fact that the slope of a line is equal to the coefficient of the x-term in the linear function equation. In this case, the coefficient of the x-term is -7, so the slope of the line is also -7.

Step-by-step explanation:

The selected statement that are true about the equilateral triangle ABC are

An equilateral triangle is a triangle in which all sides are equal and angles are also equal.

The value of each angle of an equilateral triangle is 60 degrees therefore, it is also known as an equiangular triangle. Equiangular triangle because the angles are congruent.

Therefore, the true statement about the equilateral triangle ABC are as follows:

Recall AD is a perpendicular bisector of BC. Therefore, it divides BC into two equal halves.

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Answer:

4.    (2)   0

5.    (1)   1/25

Step-by-step explanation:

Definition: a^0 = 1

4.

8(x + 11)^0 - 2x^0 + 6x =

= 8 × 1 - 2 × 1 + 6 × (-1)

= 8 - 2 - 6

= 0

5.

[(5^3)^2]/[(5^2)^4] =

= 5^6 / 5^8

= 5^(-2)

= 1/5^2

= 1/25

The probability that a randomly selected group of shoppers will spend a total of more than is 7.86%.

Standard deviation = √n × σ

                                = √50 × 30

                                = 212.1320

P( Σx > 5300) = P( Σx - nu / √n * σ > 5300 - 5000/212.1320)

                      = P(z > 1.414)

                      = 1 - P( z< 1.414)

                      = 0.078621

                      = 7.86%

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The function f(x) = -7x + 22 and g(x) is f(x) translated up 5 thus option (D) is correct.

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

Reflection is a mirror image of a graph about any axis.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

As per the given table,

The function f(x) = -7x + 22 is satisfying the table.

For example at x = 2

f(2) = -7 x 2 + 22 = 8

Now, since, g(x) = f(x) + 5 thus g(x) is translated up to 5 units.

Hence "The formula f(x) = -7x + 22 and the translation of f(x) up 5 is g(x).".

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By using function, it can be concluded that

The domain of the function is all real numbers greater than zero.

What is a function

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here the values on the horizontal axis is the domain and the values on the vertical axis is the range.

From the graph, it can be seen that the function is defined for all real numbers greater than or equal to zero.

So the domain of the function is all real numbers greater than zero.

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Answer:

gradient = -2

Step-by-step explanation:

gradient = difference of y-coordinates / difference of x-coordinates

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

gradient = (-14)-0 / 1-(-6)

gradient = (-14)/7

gradient = -2

The percent decrease of water in the tank is 50%.

What is the percent decrease?

The difference between starting and final numbers is the percentage drop. It displays a percentage loss of value compared to the original regardless of the units. The difference between the initial and final amounts is the amount of decline.

We have,

a tank contained 6 in. of water.

After several​ hours, it contained 3 in. of water.

percent decrease of water in the​ tank?

A tank contained 6 in of water.

After several hours, it contained 3 in of water

So, decrease in water =  6 in - 3 in = 3 cm

The percent decrease of water in the tank = (change in amount of water/initial amount) * 100

The percent decrease of water in the tank = (3/6) * 100

= 50

Hence, the percent decrease of water in the tank is 50%.

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The value of 'x' is 60.

We are given with [tex]\frac{-5}{6}x-\frac{-7}{30}x+\frac{1}{5}x=-52[/tex]

⇒ [tex]\frac{-25x-7x+6x}{30}=-52[/tex]

⇒ [tex]\frac{-26x}{30}=-52[/tex]

⇒ [tex]x = 2 \times 30[/tex]

[tex]\therefore x=60[/tex]

So the value of 'x' is 60.

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The number of sides an interior angle of polygon 3240 degree have is 20 sides.

Divide the number of triangles in the polygon by 180 degrees to determine the sum to its inner angles.

(n-2) *180, where n= the number of sides. since we have 5 sides. therefore, the sum is 360 degrees.

formula for finding sum of interior angles of polygon is (n-2)180

3240=(n-2)180

expand, we have;

3240=180n-360

collect like terms

3240+360=180n

3600=180n

divide both side by 180

therefore

n= 20

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