The area of a square is given by x2, where x is the length of one side. Mary's original garden was in the shape of a square. She has decided to double the area of her garden. Part 1 Enter an expression that represents the area of Mary's new garden. An expression that represents the area is Part 2 out of 2 Evaluate the expression if the side length of Mary's original garden was 9 feet. The area of Mary's new garden is square feet

Answer:5

Step-by-step explanation:

This is a variation question.

When m is inversely proportional to n,

m ∝ 1/n

Now, there is a constant of 100.

So the formula connecting m and n is

m=k/n where k is the constant

=>m=100/n

Now, n= 20 ( 20 printers)

Thus, m=

100/20=5 minutes.

Hope this helps :)

The percentage of the atmosphere made up of element 2 is 17%.

According to its definition, a percentage is any number relative to 100. It is shown with the sign %. "Out of 100" is what the percentage means. Consider dividing any quantity or item into 100 identical bits.

Given that in the pie chart, the atmosphere is distributed in different parts by which it is made.

The data is,

Element 1 = 76%

Element 2 = 17%

Other = 76%

The amount of element 2 in the atmosphere is 17%.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ9

Alexandria can expect to spend about $128.25 on school lunches for the year if she forgets to bring her lunch about once a week.

If Alexandria forgets to bring her lunch 15% of the time, then she will need to buy a school lunch on 15% of the 180 school days:

15% of 180 = 0.15 × 180 = 27 school days

So, Alexandria will buy a school lunch 27 times during the school year.

The average cost of a school lunch is $4.75.

So the total cost of buying school lunches for the year will be:

27 × $4.75 = $128.25

Therefore, Alexandria can expect to spend about $128.25

Learn more about average cost here

brainly.com/question/13029865

#SPJ4

The method for addressing inequality 2v + 12 ≥ 16 is v ≥ 2. This indicates that any value of v larger than or equal to 2 will fulfil the inequality.

The idea of inequality—the state of not being equal, particularly in status, rights, and opportunities1—is one that is central to social justice theories. However, because it frequently has diverse meanings to different people, it can become confusing in public discourse.

The equation-like appearance of the phrase 5x 4 > 2x + 3 is altered by the arrowhead in place of the equals sign. It serves as an illustration of inequity. This shows that the section on the left, 5x 4, is bigger than the part on the right.

Subtract 12 from both sides of the inequality:

2v + 12 - 12 ≥ 16 - 12

Simplifying, we get:

2v ≥ 4

Divide both sides of the inequality by 2:

2v/2 ≥ 4/2

Simplifying, we get:

v ≥ 2.

To know more about Inequality visit:

https://brainly.com/question/17675534

#SPJ1

The approximate arc length of one slice of apple pie, when the diameter of the pie is ten inches, is option (c) - 5.24 inches.

We know that the apple pie is cut into 6 equal slices,

therefore,  Θ = 360/6 = 60° (for each slice of the apple pie)

then the diameter of the apple pie is, d = 10 inches

from the diameter we can find the radius, r = 10/2 inches = 5 inches

arc length = 0/360 × 2[tex]\pi[/tex]r

we put the values of r and [tex]\pi[/tex] into the equation, we get the following:

= 60/360 × [tex]2\pi[/tex] × 5

= 5.24 inches.

To learn more about Arc length, click here:

brainly.com/question/16403495

#SPJ4

Answer:

99 square millimeters

Answer given by the other user is correct. Merely giving the steps required to solve such a problem

Step-by-step explanation:

Break up the figure into 3 rectangles as shown in the attached image

The area of the top rectangle with size 11 x 3 = 33 square millimeters

The area of the small rectangle is 2 x 5 = 10 square millimeters

The area of the vertical rectangle is 4 x 14 = 56  square millimeters

Total area = 33 + 10 + 56

= 99 square millimeters

It signifies the number of dogs that Bella feeds. The number of observations in dataset is an important characteristic that helps to determine the size of data and potential variability of data.

The table of the number of cups of dog food that each dog should be fed each day is a dataset that contains multiple observations. Each row in the table represents one observation for one dog, with information about the number of cups of dog food that the dog should be fed each day.

The number of observations in this data set is equal to the number of dogs that Bella will be feeding at the shelter. Each observation in the dataset represents a single unit of information, in this case, the number of cups of dog food that a particular dog should be fed.

Learn more about statistics here:

brainly.com/question/27061777

#SPJ4

Step-by-step explanation:

fund the slope then use the two point form

The inverse of a function f(x)=2x + 1 include the following: A. H(x) = 1/2x - 1/2

In Mathematics, an inverse function simply refers to a type of function that is obtained by reversing the mathematical operation in a given function (f(x)).

In order to determine the inverse of any function, you should swap both the input value (x-value) and output value (y-value) as follows;

f(x) = y = 2x + 1

x = 2y + 1

By rearranging the equation, we have the following:

2y = x - 1

y = (x - 1)/2

H(x) = 1/2(x) - 1/2.

Read more on inverse function here: brainly.com/question/23626757

#SPJ1

Answer:

61.504

Step-by-step explanation:

Answer:

There are £61.50 in 992

Step-by-step explanation:

Here, we shall be doing some currency conversions.Now, £31 = 500 rublesThen;£x = 992 rubles To get c, what we do is simply cross multiply £x * 500 rubles = £31 * 992 rubles £x = (£31 * 992 rubles)/500 rubles £x = £61.504which is £61.50 to two decimal places

hope this helps!!

Answer: 2.4

Step-by-step explanation:

8-2z=10z+3

First, take variables to one side

Don’t forget to change symbols when switch

-2z -10z= -8+3

Now solve, simplify

-12z=-5

The negatives cancel out, so divide both sides by 12

Z= 2.4

Answer:

1 + 1 = 2

Step-by-step explanation:

you add one and add another one and together thetr is two. so you would have two left.

We need the angle AOD to find the x value

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

Missed data: ABCD is a QUADRILATERAL

'O'  is a point in the middle joining OA,OB,OC and OD , find the angle AOD  which is x here

Adding 3 angles we get 11x+22,

Equation is :

11x+22 + AOD = 360

=> AOD = 360 - 22- 11x

     AOD= 338- 11x  

We need the angle AOD to find the x value

To learn more about the solution of an equation from the given link

https://brainly.com/question/22688504

#SPJ1

Sally will have to pay $50.52 in sales tax when she buys the Sarow boat.

Sales tax is a percentage of the purchase price of an item that the buyer pays to the government.

In this scenario, we will discuss how to calculate the sales tax that Sally will have to pay when she purchases a Sarow boat for $842, with a tax rate of 6%.

When we say that the sales tax rate is 6%, it means that for every dollar Sally spends on the Sarow boat, she has to pay an additional 6 cents to the government as tax. To calculate the amount of tax Sally will pay, we need to multiply the purchase price of the boat by the tax rate.

The formula to calculate the amount of sales tax is:

Sales tax amount = Purchase price x Tax rate

Using the given values, we can plug them into the formula and solve for the tax amount:

Sales tax amount = $842 x 0.06

Sales tax amount = $50.52

To know more about tax rate here.

https://brainly.com/question/12395856

#SPJ4

Yes, that is correct. The t-value is used to calculate the significance of the difference between two sample means.

It is used in a t-test, which is a type of hypothesis test that is commonly used in statistical analysis. The t-value changes depending on the number of data points (sample size) collected, as well as the level of confidence desired and the standard deviation of the population. A larger sample size typically results in a smaller t-value, which means that the difference between the two sample means is more significant. On the other hand, a smaller sample size leads to a larger t-value, which means that the difference between the two sample means is less significant. Yes, that is correct. The t-value is used to calculate the significance of the difference between two sample means.

Learn more about standard deviation :

https://brainly.com/question/23907081

#SPJ4

The solution of the equations y = 3x + 2 and - 4x + 2y = 8 by elimination method will be (2, 8).

An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.

The equations are given below.

y = 3x + 2

2y = 6x + 4

6x - 2y = - 4         ...1

- 4x + 2y = 8        ...2

Add both equations, then we have

6x - 4x = - 4 + 8

2x = 4

x = 2

Then the value of 'y' is given as,

y = 3(2) + 2

y = 6 + 2

y = 8

The solution of the equations y = 3x + 2 and - 4x + 2y = 8 by elimination method will be (2, 8).

More about the solution of the equation link is given below.

https://brainly.com/question/29797035

#SPJ1

By applying repeated and independent measures concepts, it can be concluded that there are 11 individuals participated in the repeated-measures research study and 12 individuals participated in the independent-measures research study (option D).

In a repeated-measures research study, the degree of freedom (df) is calculated by subtracting 1 from the number of individuals in the study (n). Therefore, if df = 10, then the number of individuals in the study is 10 + 1 = 11.

Whilst, in an independent-measures research study, the degree of freedom (df) is calculated by subtracting 2 from the number of individuals in the study (n). Therefore, if df = 10, then the number of individuals in the study is 10 + 2 = 12.

Therefore, it can be concluded that there are 11 individuals participated in the repeated-measures research study and 12 individuals participated in the independent-measures research study (option D).

To learn more about the repeated and independent measures, click here: https://brainly.com/question/15690601

#SPJ11

The correct expression for 7c-3+2c=15 is c = -1

An expression is a sentence with a minimum of two numbers and at least one math operation. This math operation can be addition, subtraction, multiplication, and division. The structure of an expression is: Expression = (Number, Math Operator, Number) For example, = 7 + 9 = 23 × 4 = 37 – 6 = 25 + 9 – 4 ÷ 2

Move all terms containing c to the left side of the equation.

Subtract 3c from both sides of the equation:

[tex]= > 7c+6-3c=2[/tex]

Subtract 3c from 7c:

[tex]= > 4c+6=2[/tex]

Move all terms not containing c to the right side of the equation.

Subtract 6 from both sides of the equation:

[tex]= > 4c=2-6[/tex]

Subtract 6 from 2:

[tex]4c=-4[/tex]

Divide each term in [tex]4c=-4[/tex] by [tex]4[/tex] and simplify.

Divide each term in [tex]4c=-4[/tex] by [tex]4[/tex]:

[tex]\frac{4c}{4} =\frac{-4}{4}[/tex]

Simplify the left side:

Cancel the common factor of [tex]4[/tex]:

[tex]c=\frac{-4}{4}[/tex]

Simplify the right side.

Divide [tex]-4[/tex] by [tex]4[/tex]:

[tex]c=-1[/tex]

Therefore, the correct expression for 7c-3+2c=15 is c = -1

Learn more about expression here:

https://brainly.com/question/29176690

#SPJ3

The question is:

How to solve this 7c-3+2c=15

Side a is 2.5 inches long, side b is 5 inches long and side c is 6.5 inches long. Therefore, option C is the correct answer.

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 (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Given that, scale factor =2:1

Scale drawing to object the scale factor is 2:1.

Now,

a=1/2 *5 =2.5 inches

b= 1/2 *10 = 5 inches

c= 1/2 * 13 = 6.5 inches

Therefore, option C is the correct answer.

To learn more about the scale factor visit:

https://brainly.com/question/22312172.

#SPJ1

There are two solutions to the system of linear equations depicted in the graph: one at (0,4) and one at (-3,0). There is only one distinct solution to the system of equations where the two lines intersect at the points (-3,0) and (0,4).

If the slopes are the same but the y-intercepts vary, the system has no solution. If the slopes are different, the system only has one solution. The system has an endless number of solutions if the slopes and y-intercepts match.

There are therefore countless possible answers. A different kind of linear equation system is a system with two parallel lines represented by the equations is referred to be an inconsistent system. The lines have distinct y-intercepts but the same slope.

To know more about linear equations visit:-

https://brainly.com/question/11897796

#SPJ1

Answer:

11

Step-by-step explanation:

Let's call the number of games of Balloon Bouncer that Amy played as "x".

Amy started with 35 tokens and used 2 for Roll-and-Score, so she had 35 - 2 = 33 tokens left.

Each game of Balloon Bouncer costs 3 tokens, so the total number of tokens used for Balloon Bouncer games is 3x.

Therefore, the equation to find the number of games Amy played is:

33 = 3x

Solving for x, we get:

x = 11

So Amy played 11 games of Balloon Bouncer.

Answer: 3g + 3 = 35

Step-by-step explanation:

The value of the equation is A = ( 6x - 9y ) / ( 3 + 2y )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = ( 12x - 18y ) / ( 6 + 4y )

On simplifying the equation , we get

Taking the common factor as 6 in the numerator , we get

A = 6 ( 2x - 3y ) / ( 6 + 4y )

Taking the common factor as 2 in the denominator , we get

A = ( 6/2 ) ( 2x - 3y ) / ( 3 + 2y )

On further simplification , we get

A = 3 ( 2x - 3y ) / ( 3 + 2y )

A = ( 6x - 9y ) / ( 3 + 2y )

Hence , the equation is A = ( 6x - 9y ) / ( 3 + 2y )

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

The quadratic equation that represents the parabola is y - 2 = - x².

In this problem we find a table representing a quadratic equation, whose definition can be found by using two points and the vertex form of the parabola equation:

Vertex form

y - k = C · (x - h)²

Where:

First, determine the coordinates of the vertex of the parabola by table:

(h, k) = (0, 2)

Second, find the vertex constant:

C = (y - k) / (x - h)²

C = (1 - 2) / (1 - 0)²

C = - 1

Third, write the equation of the parabola:

y - 2 = - x²

To learn more on parabola equations: https://brainly.com/question/4074088

#SPJ1

Answer:

Step-by-step explanation:

To find the interest rate on an investment of $470 for seven years with an ending balance of $683.85, you can use the formula for simple interest:

I = P * r * t

Where I is the interest earned, P is the principal amount ($470), r is the interest rate, and t is the number of years (7).

Rearranging the formula to solve for r:

r = I / (P * t)

Substituting the given values:

r = (683.85 - 470) / (470 * 7)

r = 213.85 / 3290

r = 0.0649 or 6.49%

So, the interest rate on the investment of $470 for seven years with an ending balance of $683.85 is 6.49%.

The equations that are true for the values of x, y and z are :

The equations can be found based on the relationships between the variables as angles.

x and z are opposite each other which makes them congruent angles which means that they are the same value.

y and 65 degrees are also opposite each other which makes them congruent.

x and 65 degrees are on a straight line and so will add up to 180 degrees which is why the correct equation would be :

x degrees + 65 degrees = 180 degrees

Find out more on equations at https://brainly.com/question/16282817

#SPJ1

Options include:

Answer:

Step-by-step explanation:

9 times

6,7,8,9 (4 times starting at 5)

Answer: 1.25

Step-by-step explanation:

you divide/combine 5 and 4 to get Ur anwser 1.25.  Yet it's the same thing as asking ,"How much is 5 divided by 4?" just think of it to yourself as how many times you can fit 4 into 5. One tip you can use is 4(x) = 5 and x will equal 1.25.

The range of the data set is, 28

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The data set is,

74, 64, 90, 74, 92, 68, 71

Now, We know that;

Range of data set is calculating by subtracting the lowest value from highest value.

Hence, The range is,

⇒ Highest value - Lowest value

⇒ 92 - 64

⇒ 28

Thus, The value of range = 28

Learn more about the subtraction visit:

https://brainly.com/question/17301989

#SPJ9

When the residual is negative it represents the predicted value is very much high.

Therefore, the negative residual value on the regression line represents the predicted value is very much high.

Learn more about residual here

brainly.com/question/21562096

#SPJ4

The values of v w x y and z​ are given below:

<EDA= <EBA= 40°

==> x= 40°

This is because the circumferential arc of the same arc is equal.

<PAE= <ADE= 40°

=>v= 40°

This is based on the alternate segment theorem.

Because EC= EB, <ECB= <EBC= 80°

=> w= 80°

This is based on the properties of an isosceles triangle.

<ECB = <EAB = 80°

=> y= 80°

This is because the circumferential angle of the same arc are equal

Because <EBC = <ECB= 80°

=> <BEC = 180° -(80 x2)

= 20°

This is because the sum of the interior angles of the triangle is 180°

<AEB = 180°-y - <ABE

= 60°.

<AEC = <AEB + <BEC= 60° + 20°

=80°.

So <ADC = <AEC = 80°

=> = 80°

This is because the circumferential angle of the same arc are equal

Therefore,

Read more about geometry here:

https://brainly.com/question/24375372

#SPJ1