Identify the outlier of each set of values.
4. 32 35 3 36 37 35 38 40 42 34​

A solution would be:

[tex](1,32)[/tex]

This is a linear equation written in Slope-Intercept form. Recall that this form, in general, is written as follows:

[tex]y=mx+b \\ \\ \\ Where: \\ \\ m:slope \\ \\ b:y-intercept[/tex]

In this case, we have the following equation:

[tex]y=-4x+36 \\ \\ \\ Where: \\ \\ m=-4 \\ \\ b=36[/tex]

In order to find a solution, let's set [tex]x=1[/tex], so the y-value will be:

[tex]y=-4(1)+36 \\ \\ y=-4+36 \\ \\ y=32[/tex]

So, a  solution to the linear equation is the point [tex](1,32)[/tex]

Final answer:

The solutions to y = -4x + 36 are x = 3 resulting in y = 24, and x = -7 resulting in y = 64, both of which have been verified to be correct by substitution back into the original equation.

Explanation:

To find a solution to the linear equation y = -4x + 36, we can substitute any value for x and solve for y, or vice versa. Let's use the given solutions x = 3 and x = -7 to find the corresponding values for y.

Substitute x = 3 into the equation: y = -4(3) + 36, which simplifies to y = -12 + 36, resulting in y = 24.

Substitute x = -7 into the equation: y = -4(-7) + 36, which simplifies to y = 28 + 36, resulting in y = 64.

To check the validity of these solutions, we back-substitute them into the original equation. For x = 3, the equation becomes 24 = -4(3) + 36, which simplifies to 24 = 24, confirming the first solution. Similarly, for x = -7, the equation becomes 64 = -4(-7) + 36, simplifying to 64 = 64, confirming the second solution. Both substitutions lead to an identity, verifying the correctness of the solutions.

Answer:

As a fraction: 7/4

As a decimal: 1.75

Hope this helps!

Answer:

The number of layers of 1-inch cubes that Mark packed is determined by assuming that the larger box is also a cube. 

                        120 = e³

The value of e from the equation is approximately 5. Thus, there are approximately 5 layers of 1-inch cubes. 

Read more on Brainly.com - https://brainly.com/question/3427563#readmoreStep-by-step explanation:

Answer:

No, because the two shorter sides added must be longer than the longest side.

Also 1 squared plus 2 squared is not equal to 5 squared.

Answer:

x=-5,x=5/3 Brainliest please? Thank you! <3

Step-by-step explanation:

x-5=2x ~ x-5=-2x

-5=x ~ x=5/3

Answer:

Katie can bake 48 muffins in 90 minutes.

Step-by-step explanation:

So, as you can see, it says she can bake 24 muffins in 45 mins. Some you make that a fraction:

24/45. The question asks how many muffins she can bake in 90 mins. So, next to the first fraction (proportion) write x/90.

Why x? Because you don't know how many muffins she made, so you'll use that to replace the number for now. X is the numerator because on the last proportion, you put the number of minutes as the denominator. X= how many muffins Katie baked.

So, you cross multiply. Multiply one numerator by the others denominator. Like this: 24×90 and 45×X. Write the answers under the denominator (Ex: 24 X

45 90

-----------

45x = 2160

Now, separate the variable (x) and the constant (45). To do something you must divide. Divide it by 45 to get x. Then, place your equal sign on the right side of that. Now, whatever you do to one side of the equal sign you must do to the other. So, divide 2160 by 45. If done coorectly, you should've gotten 48. X=48 muffins. Therefore, Katie baked 48 muffins.

Sorry about the length! I kinda got carried away lol

Also, for the explanation for how you know, my work above should explain that.

Well, I hope I was helpful!

Answer:

Place an x at every hash listed

Step-by-step explanation:

The reason being they are listed at 0, then 0.25, then 0.5, and so forth. The x's represent the exchanges so the hashes make a mark at every 0.25 miles

Answer:

C

Step-by-step explanation:

Given the complex number a ± bi, then the complex conjugate is

a ∓ bi

Note the real part remains unchanged while the sign of the imaginary part is reversed, thus

The conjugate of 7 - i  is 7 + i → C

Answer:

○ C 7 + i ohms

Step-by-step explanation:

Conjugates are expressions with OPPOSITE operation symbols, so the conjugate of 7 - i is 7 + i.

I am joyous to assist you anytime.

Answer:

x=1      -3(1+4)=-15

Step-by-step explanation:

-3(x+4)=-15

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

-3         -3

x+4= 5

  -4=-4

x=1

That should be right

-3(x+4)=-15

mutiply the bracket by -3

(-3)(x)= -3x

(-3)(4)=-12

-3x-12= -15

move -12 to the other side

sign changes from -12 to +12

-3x-12+12= -15+12

-3x= -15+12

-3x= -3

divide both sides by -3

to get + x and by itself

-3x/-3= -3/-3

Answer:

x= 1

Answer: Month 10

If you do 400 + (20 x 10) you get 600

If you do 200 + (40 x 10) you get 600

Hope this helps!

Answer:

the second value is ten times higher then the refference one

The value of the digit 2 in the number 32,000 is greater than the value of the digit 2 in the number 26,000 by a factor of 10.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The value of a digit in a number depends on its place value.

In the number 32,000, the digit 2 is in the ten thousands place, which has a value of 20,000.

In the number 26,000, the digit 2 is in the thousands place, which has a value of 2,000.

Therefore,

The value of the digit 2 in the number 32,000 is 10 times greater than the value of the digit 2 in the number 26,000.

This is because the ten thousands place is 10 times greater than the thousands place.

In other words,

The digit 2 in the number 32,000 represents 20,000 while the digit 2 in the number 26,000 represents only 2,000.

Thus,

The value of the digit 2 in the number 32,000 is greater than the value of the digit 2 in the number 26,000 by a factor of 10.

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Answer:

No Solution

Step-by-step explanation:

-1/7(14+28p)-13=4(1/2p-3)-6p

-2-4p-13=2p-12-6p

rearrange the question so like terms are next to each other

-2-13-4p=2p-6p-12

-15-4p=-4p-12

add 12 to both sides

-3-4p=-4p

add 4p to both sides

-3=0

No solution

Answer:

something is wrong in the equation

Step-by-step explanation:

Answer:

x, 2/3(cx+1/2)- 1/4= 5/2 : x= 29/8c; c \neq 0

Step-by-step explanation:

D. The value of x in terms of c is  [tex]x=\frac{29}{8c}[/tex]

The given equation is [tex]\frac{2}{3}(cx+ \frac{1}{2})-\frac{1}{4}=\frac{5}{2}[/tex]

Solving we get,

First we have to add 1/4 in both sides,

[tex]\frac{2}{3}(cx+ \frac{1}{2})-\frac{1}{4}+\frac{1}{4}=\frac{5}{2}+\frac{1}{4}[/tex]

⇒  [tex]\frac{2}{3}(cx+ \frac{1}{2})=\frac{5}{2}+\frac{1}{4}[/tex]

⇒ [tex]\frac{2}{3}(cx+ \frac{1}{2})=\frac{10+1}{4}[/tex]

⇒  [tex]\frac{2}{3}(cx+ \frac{1}{2})=\frac{11}{4}[/tex]

⇒  [tex](cx+ \frac{1}{2})=\frac{11}{4}*\frac{3}{2}[/tex]

⇒ [tex](cx+\frac{1}{2} )=\frac{33}{8}[/tex]

⇒ [tex]cx = \frac{33}{8} -\frac{1}{2}[/tex]

⇒ [tex]cx = \frac{33-4}{8}[/tex]

⇒ [tex]cx=\frac{29}{8}[/tex]

⇒ [tex]x=\frac{29}{8c}[/tex]

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Answer:

D

Step-by-step explanation:

Answer: 215

Step-by-step explanation:

a:

Mean is found by adding all the numbers in a data set, then dividing by the amount of numbers added.

Group 1 Mean: 42

Group 2 Mean: 52

b:

The only extreme value in these data sets is 150. An extreme value makes a mean that makes no sense. It distorts it.

c:

No. Group 2 is not a good indication of the typical salary in the group. It has a value that is a lot higher than all the other salaries in the group.  

Final answer:

The perimeter of the rectangle is calculated using the formula P = 2l + 2w, converting the height from millimeters to centimeters and then applying the values to get a perimeter of 70.6 cm.

Explanation:

To calculate the perimeter of a rectangle, we use the formula P = 2l + 2w, where l is the length and w is the width of the rectangle. In this case, the rectangle's length is given as 30 cm, but the height (which can be considered as the width in the context of the perimeter) is given in millimeters. First, we need to convert the height to centimeters by dividing the number of millimeters by 10, because there are 10 millimeters in a centimeter. So, 53 mm is equivalent to 5.3 cm. Now, we apply the formula to find the perimeter:

P = 2 × 30 cm + 2 × 5.3 cm = 60 cm + 10.6 cm = 70.6 cm.

Therefore, the perimeter of the rectangle is 70.6 cm.

Answer:

238.095238 is correct

Answer:$13,125

Step-by-step explanation:

15n -20

Good luck!! :)

Answer:2

Step-by-step explanation:

The cost of one roll of plain wrapping paper is found to be $10, and one roll of holiday wrapping paper is $18.

We have two equations based on the given information:

Emily's sales: 14 rolls of plain wrapping paper + 6 rolls of holiday wrapping paper = $248

Joe's sales: 10 rolls of plain wrapping paper + 12 rolls of holiday wrapping paper = $316

Using algebra to solve the system, we represent the cost of one roll of plain wrapping paper as p, and the cost of one roll of holiday wrapping paper as h. Thus, the equations become:

14p + 6h = 248

10p + 12h = 316

We use the method of substitution or elimination to find the value of p and h. For instance, using elimination, we can multiply the first equation by 2 to make the coefficients of h the same:

(14p + 6h) * 2 = 248 * 2

28p + 12h = 496

Then we subtract the second equation from this new equation:

(28p + 12h) - (10p + 12h) = 496 - 316

18p = 180

p = $10

With the cost of plain wrapping paper found, substitute p = $10 into one of the original equations to find h:

10 * 10 + 12h = 316

12h = 216

h = $18

The cost of one roll of plain wrapping paper is $10, and the cost of one roll of holiday wrapping paper is $18.

Answer:

Part a) The number of boxes needed will be 4

part b) The fraction of the box that is empty is [tex]\frac{1}{2}[/tex]

Part c) Are needed 2 cupcakes to fill the last box

Step-by-step explanation:

Part a) How many boxes will be needed for Polly to bring all the cupcakes to the party?

To find out the number of boxes needed, divide the total number of cupcakes by 4 (maximum number of cupcakes that fit in each box).

so

[tex]\frac{14}{4}=3.5\ box[/tex]

Round up

The number of boxes needed will be 4

Part b) If the bakery completely fills as many boxes as possible, what fraction of the last box is empty?

we know that

The maximum number of cupcakes per box is 4

The first three boxes have 4 cupcakes

The last box has

[tex]14-3(4)=2\ cupcakes[/tex]

The fraction of the box that is empty is equal to the number of cupcakes missing to fill the box divided by the cupcake capacity of the box

[tex]\frac{2}{4}=\frac{1}{2}[/tex]

Part c) How many more cupcakes are needed to fill this box

Subtract the number of cupcakes in the box from the cupcake capacity of the box

The last box has 2 cupcakes

The cupcake capacity of the box is 4

so

[tex]4-2=2\ cupcakes[/tex]

therefore

Are needed 2 cupcakes to fill the last box

To achieve an overall interest of 10.6% on her $3,000 investment, Hattie should put $900 into an account with a 12% interest rate and $2,100 into an account with a 10% interest rate.

Let's denote the amount of money Hattie puts in the 12% interest account as x, and the amount she puts in the 10% interest account as 3000 - x. Her aim is that the total interest she earns from both accounts is 10.6% of her total investment ($3,000).

So, 0.12x (interest from the first account) + 0.10(3000-x) (interest from the second account) should equal 0.106*3000 (her total desired income).

By solving this equation we can determine the amount of money Hattie should place in each account:

So, Hattie should put $900 in the 12% account and the rest, which is $2,100, in the 10% account to get her goal of 10.6% total interest.

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To solve this problem, set up a system of equations using the amount of money Hattie puts into each account and the total interest earned. Solve the system to find the values of x and y.

To solve this problem, we can set up a system of equations. Let's call the amount of money Hattie puts into the account that earns 12% per year x, and the amount of money she puts into the account that earns 10% per year y. We know that x + y = $3,000 (since she has $3,000 to invest). We also know that the total interest earned is equal to 10.6% of $3,000, which is 0.106 * $3,000 = $318.

The interest earned from the account that earns 12% per year is 0.12x, and the interest earned from the account that earns 10% per year is 0.1y. We can set up another equation based on this: 0.12x + 0.1y = $318.

Now we have a system of equations: x + y = $3,000 and 0.12x + 0.1y = $318. We can solve this system using substitution or elimination to find the values of x and y.

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The shorter piece is 37 cm

The longer piece is 48 cm:

Step-by-step explanation:

Divide 85 cm by 2 = 42.5

Divide 11 cm by 2 = 5.5

Add them together = 48 cm

85 cm - 48 cm = 37 cm

Length of 1st piece = 37 cm

Length of 2nd piece = x + 11 = 37 + 11 = 48 cm

Now -

Length of smaller piece = 37 cm

Length of larger piece = 48 cm

We have a board which is 85cm in length and must be cut so that one piece is 11cm longer than the other piece.

We have to find the length of each piece, length of the smaller piece, length of the larger piece.

Now -

x + (x + n) + (x + 2n) = 100

3x + 3n = 99

x + n = 33

n = 33 - x

According to the question, we have -

Length of board = 85cm.

Assume that the length of first piece be x. Then -

x + ( x + 11 ) = 85

2x + 11 = 85

2x = 74

x = 37

Hence -

Length of 1st piece = 37 cm

Length of 2nd piece = x + 11 = 37 + 11 = 48 cm

Now -

Length of smaller piece = 37 cm

Length of larger piece = 48 cm

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Step-by-step explanation:

3,982 can be rounded to 4,000

4,592 can be rounded to 4,600

4,000 + 4,600 = 8,600

Answer:

8574

Step-by-step explanation:

Answer:

Step-by-step explanation:

D), and A

Answer:

Option A) Make sure all the angles are 1/3 the size of the pre-image with the point of dilation in the center.

Step-by-step explanation:

In order to dilate an image, it is necessary that the angles are all of the equal size and magnitude. This makes the dilation of the pre-image easier

Answer:

14/21

Step-by-step explanation:

Total marbles = 7+8+6 = 21

7 Red

8 Green

6 Blue

Probability of choosing Red = 7/21

Probability of choosing Green = 8/21

Probability of choosing Blue = 6/21

Probability of choosing Green or Blue = 8/21 + 6/21 = 14/21

Answer:

Emily can deduct $1975 for medical expenses.

Step-by-step explanation:

Emily is itemizing deductions on her federal income tax return and had $5200. Her AGI was $43,000.

We have:

The AGI is =$43,000

Medical expenses amount = $5200

If medical expenses are deductible to the extent that they exceed 7.5% or 0.075  of a taxpayer’s AGI, means  = 43,000 * 0.075 = $3225

Now the deductible amount is  = $5200 - $3225 =  $ 1975

Hence,Emily can deduct $1975 for medical expenses.

Answer:

Emily can deduct the $1,975 in medical expenses from her adjusted gross income.

Step-by-step explanation:

Before an individual could deduct medical expenses as long as they exceeded 7.5% of their adjusted gross income (currently it's 10%).

If Emily's AGI = $43,000, then she will be able to deduct medical expenses that exceed $3,225 (= $43,000 x 7.5%).

Emily's medical expense deductions = $5,200 - $3,225 = $1,975.

If this situation happened this year, Emily would have only been able to deduct $900  [= $5,200 - ($43,000 x 10%)]

The slope of this graph is rise over run which means how much your distance x has between the 2 points and how much y increased between those 2 points. So it starts at (1,-2) and ends at (2,1). So x had a run of 1 and y had a rise of 3 we have 3/1 which is equivalent to 3, so the answer would be B.

To represent Isiah's age, the variable expression is I = 2J - 3. To represent Kaleb's age, the variable expression is K = 4I.

To write a variable expression for Isiah's age, we start by defining a variable. Let's call Isiah's age 'I'. We are given that Isiah is 3 years younger than twice Jack's age, which can be written as 2J - 3. So, the variable expression for Isiah's age is I = 2J - 3.

To write a variable expression for Kaleb's age, we know that Kaleb is 4 times Isiah's age. Therefore, Kaleb's age can be represented by the variable expression K = 4I, where 'K' represents Kaleb's age and 'I' represents Isiah's age.

Let Jack's age be represented by a variable, let's say j. To express Isiah's age in terms of Jack's age, we use the information given in the question. Isiah is 3 years younger than twice Jack's age, so we can write the expression for Isiah's age as 2j - 3. Following that, we can represent Kaleb's age as being 4 times Isiah's age, which can be expressed as 4(2j - 3).

Answer:

$9.40, $0.60, $10.60

Step-by-step explanation:

$8.53 + $0.87 = $9.40

$10 - $9.40 = $0.60

$20 - $9.40 = $10.60

Answer:

8,53+0,87=$9,40

if you pay $10 - 9,40 = $0,60 ( you will get $0,60 back )

if you pay $20 -9,40 = $10,60 ( you will get $10,60 back )

Step-by-step explanation: