Which of the following represents the series?
-13 + (-7) + (-1) + 5 + 11

The arithmetic mean of the monthly salaries of two employees is $ 3210 . One employee earns $ 3470 per month. What is the monthly salary of the other employee.

Then $2950 is the salary of the other employee.

$2950 is the monthly salary of the other employee.

a. the given information = mean of two salaries =  3210

                                       = salary of 1st employee =3470

the unknown information = salary of 2nd employee = 2950

The arithmetic mean is the most straightforward and widely used method of calculating a mean or average. It only requires adding up a group of figures, then dividing the result by the entire amount of figures in the series. Consider the numbers 34, 44, 56, and 78 as an example. It totals 212.

The mean or arithmetic average are other names for the arithmetic mean. It is determined by adding up each number in a particular data set, then dividing the result by the overall number of items in the data set. For uniformly distributed integers, the middle number serves as the arithmetic mean (AM).

To learn more about arithmetic mean from the given link:

brainly.com/question/13000783

#SPJ4

Answer: different and subtract go in the empty spaces

Mark has:  1 1/3 = 4/3  gallons of Yellow

                1 1/4 = 5/4  gallons of Green

                           7/8  gallons of Blue.

Total =  (4/3 + 5/4 + 7/8)    LCM = 24

       =  (32 + 30 + 21)/24 = 83/24  Gallons of Paint in total.

If he used 3/4 of each, he would have = 1/4 of each left.

Therefore gallons left =  1/4 * (83/24) = 83/96 gallons left.

=  0. 8646 gallons left in total.

Answer:

repeated

Step-by-step explanation:

The algebraic expression for total hours that represents the number of hours per week the theater is open is 4 x + 3 y

Number of hours the theatre is opened on Monday to Thursday = x hours.

Number of hours the theatre is opened on Friday to Sunday = y hours.

Number of hours from Monday to Thursday = 4 x hours.

Number of hours from Friday to Sunday = 3 y hours.

Total hours will be represented by the algebraic expression:

Total hours = 4 x + 3 y.

Therefore, the algebraic expression for total hours that represents the number of hours per week the theater is open is 4 x + 3 y

learn more about algebraic expression here:

https://brainly.com/question/4344214

#SPJ9

Answer:

$30.87

Step-by-step explanation:

Saturday

- gross: $90

- net: $77.75

Sunday

- gross: $120

- net: $101.38

Total gross: 90 + 120 = $210

Total net: 179.13

Total tax: 210 - 179.13 = 30.87

Based on the linear pair theorem, the value of x is: 42°.

A linear pair is a pair of two angles that are formed adjacent to each other on a straight line. These two angles, according to the linear pair theorem, have a sum of 180d degrees when their measures are added together.

From the image, we see that x° and 138° are a linear pair as they lie on a straight line.

Therefore:

x + 138 = 180 [linear pair theorem]

Subtract 138 from both sides of the equation

x + 138 - 138 = 180 - 138

x = 42°

Therefore, based on the linear pair theorem, the value of x is: 42°.

Learn more about linear pair theorem on:

https://brainly.com/question/5598970

#SPJ1

Characteristics exhibited by continuously varying traits are called quantitative traits. These continuously varying traits always measure phenotypes which usually depend on the cumulative behavior of many genes.

What are continuously varying traits?

Continuous varying traits exhibit the characteristics whose traits do not fall in the discrete categories like height and weight. Different traits which come under continuous varying traits are anatomical traits, physiological traits, behavior traits as well as diseases. It shows the continuous phenotypic variation within the group of individuals.

To learn more about the continuously varying traits from the given link:

https://brainly.com/question/13752099

#SPJ4

Answer:

D. x = 3

Step-by-step explanation:

[tex] {x}^{3} = 27[/tex]

[tex]x = \sqrt[3]{27} = 3[/tex]

The last one.

It states that "The video games cost $43 each." and the total price was $72 in movies meaning that the x would go with the 43 and 1,128 would have to be greater than the amount she's buying or she won't be able to buy it.

Answer:

3.6cm

Step-by-step explanation:

the points lie in order like this

A.....B.....C

we know that A......B......C total spans 4cm (or 40mm)

we know that A......B spans 4mm

we need to know the length of B......C

B......C = A.......B.......C - A.....B = 40mm - 4mm = 36mm = 3.6cm

Measure of angle 5 i.e. m∠5 = 50°

The measurement of angle is the degree of that angle or we can also say that the angles are always measured in degree. In geometry, the complete one revolution of four quadrants is of 360 degrees (360°) and divided into total of 360 parts where each part of this represents a degree.

As stated above there are total 360 parts in one revolution thus thus we can find value of particular angle by subtracting the angle from 360 or 180 for a straight line.

In the question,

Let given angle is ∠8.

Given, ∠8 = 50°

Now, according to vertical angle property

∠5 = ∠8

therefore, ∠5 = 50°

Thus, m∠5 = 50°

To know more about measurement of angle, visit :

brainly.com/question/27243531

#SPJ4

The complete question is :

Find measure m∠5

The feasible solution is the best solution possible for a mathematical model , the statement is False.

Feasible Solution for a mathematical model is defined as the solution that satisfies all the constraints of the linear program.

Whereas an Optimal Solution is a feasible solution that minimizes or maximizes the function.

Optimal Solution is a part of feasible Solution .

So , an Optimal Solution can also satisfy all the constraints of the linear program.

Hence, The feasible solution is the best solution possible for a mathematical model statement is False .

Therefore , the correct option is (b) false.

Learn more about Feasible Solution here https://brainly.com/question/15398513

#SPJ4

Answer: 103/13

Step-by-step explanation:

7 * 13 = 91

91 + 12 = 103

Answer: 607 7
                       _
                       10

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Substitute 24 for w

2(24) - 18

multiply 24 by 2

48 - 18

Subtract 18 from 48

Answer: 30

The vertex and range are (-2, -3) and y >= -3 respectively

The equation is given as:

y = |x +2| - 3

The above equation is an absolute value equation

An absolute value equation is represented as:

y = a|x - h| + k

Where

Vertex = (h, k)

So, we have

Vertex = (-2, -3)

Also, we have

a = 1

Since a is positive, then the vertex is a minimum

Hence, the vertex and range are (-2, -3) and y >= -3 respectively

Read more about absolute value equation at

https://brainly.com/question/17795998

#SPJ1

20x-14x=21-10

6x=11

x=11/6

☞ user58580~ ♥

Answer:

The Answer is x=11/6

Step-by-step explanation:

Hope this helps!!

Answer:

3x-26

Step-by-step explanation:

-4(x+7)+7x+2

Multiple -4 By 7

-4x -28 +7x +2

Group like terms

-4x +7x -28+2

-4+7= 3

3x -28 +2

-28+2=-26

3x-26

Hope this helps! ^^

Answer:

1 by 24

2 by 12

3 by 8

4 by 6

Step-by-step explanation:

We look at all the factors of 24.

1, 2, 3, 4, 6, 8, 12, 24

He can make the area:

1 by 24

2 by 12

3 by 8

4 by 6

Josh collected 60 stickers, Ann collected 67 stickers and Claire collected 30 stickers.

Ann, Claire and Josh collect stickers. One week, Ann collects 7 more stickers than Josh.

let use variables to represent the amount of stickers they collected.

Therefore, Ann collects 7 more stickers than Josh. Josh collects twice as many stickers as Claire

Josh stickers = x

Ann stickers = 7 + x

Claire stickers = 1 / 2 x

Total stickers collected = 157

Therefore,

x + 7 + x + 1 / 2 x  = 157

x + x + 1 / 2 x = 157 - 7

2.5x = 150

divide both sides by 2.5

x = 150 / 2.5

x = 60

Therefore, Josh collected 60 stickers, Ann collected 67 stickers and Claire collected 30 stickers.

learn more on variables here: https://brainly.com/question/17539129

#SPJ1

The solution of the given linear equation 3(w -8) = 36 in one variable is at w = 20.

According to the given question.

We have a linear equation in one variable 3(w - 8) = 36.

Since, we have to solve the above equation for w.

As we know tha, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

Therefore, the solution of the linear equation in one varibale 3(w - 8) = 36 is given by

3(w - 8) = 36

⇒3w - 24 = 36      ( by distributive property)

⇒ 3w = 36 + 24     (adding 24 both the sides)

⇒ 3w = 60

⇒ w = 60/3   (dividing both the sides by 3)

⇒ w = 20

Hence, the solution of the given linear equation 3(w -8) = 36 in one variable is at w = 20.

Find out more information about equation here:

https://brainly.com/question/10413253

#SPJ4

Answer:16 and 24

Step-by-step explanation:

Answer: [tex]x=\frac{7-2y}{4}\\[/tex]

Step-by-step explanation:

4x+2y-2y=7-2y

4x= 7-2y

[tex]\frac{4x}{4}=\frac{7}{4}-\frac{2y}{4}[/tex]

Simplify: [tex]\mathrm{Divide\:the\:numbers:}\:\frac{4}{4}=1[/tex] = x / [tex]\frac{7}{4}-\frac{2y}{4}[/tex] x = [tex]\frac{7-2y}{4}[/tex]

Answer:

6.1 * 10^-3

Step-by-step explanation:

This is because 10^-3 = 0.001 so 0.0061=6.1 * 10^-3

Answer:

6,100,000,000

Step-by-step explanation:

0.0061 x 10^12 =6,100,000,000

The coordinates of the point on the directed line segment is (-5,5)

In the given sum we are using the internal division formula which goes like:  (x,y) = (nx₁ + mx₂)/(m+n), (ny₁ + my₂)/(m+n)

with the available data we can interpret that where m = 1 , n = 4 , (x₁,y₁) = (-8,8) , (x₂,y₂) = (7,-7)

substituting the given values in the above formulae

The coordinates of the point is :

(x,y) = (4(-8) + 1(7))/(1 + 4) , (4(8) + 1(-7))/(1 + 4)

= ( -32 + 7)/5, (32 - 7)/5

= (-25/5) , (25/5)

= (-5,5)

∴ (x , y) = (-5 , 5)

So here the coordinates are (-5 , 5) which directed line segment from (-8,8) to (7,-7) that partions the segment into a ratio of 1 to 4

Learn more about coordinate geometry here

https://brainly.com/question/20338953

#SPJ9

Answer:

x = -2

Step-by-step explanation:

First, distribute:

-12x + 28 = 52

Then, subtract 28 on both sides:

-12x = 24

Finally, divide -12 on both sides:

x = -2

Step-by-step explanation:

hope it helps

Answer:

[tex]4(5) {m}^{3} \times {m}^{2} \times {n}^{2} \times {n}^{1} [/tex]

since you know the rules of exponents we are multiplying powers of the same bases meaning we will add the exponents.

[tex] = 20 {m}^{3 + 2} {n}^{2 + 1} \\ = 20 {m}^{5} {n}^{3} [/tex]