Which inequality is graphed on the number line? HELP PLZZZ

The Operating income is $172,500.

To calculate the margin of safety, contribution margin ratio, and operating income, we need to use the given information.

a. Margin of Safety:

Margin of Safety = Actual Sales - Break-even Sales

Given that the break-even point is at $750,000 in sales revenue and actual sales are $1,100,000, we can calculate the margin of safety:

Margin of Safety = $1,100,000 - $750,000 = $350,000

Therefore, the margin of safety is $350,000.

b. Margin of Safety as a Percentage of Sales:

Margin of Safety Percentage = (Margin of Safety / Actual Sales) * 100

Using the values from the previous calculations:

Margin of Safety Percentage = ($350,000 / $1,100,000) * 100 = 31.82%

Therefore, the margin of safety expressed as a percentage of sales is approximately 31.82%.

c. Contribution Margin Ratio:

Contribution Margin Ratio = (Contribution Margin / Sales) * 100

To calculate the contribution margin, we need to subtract variable costs from sales:

Contribution Margin = Sales - Variable Costs = $1,100,000 - $645,000 = $455,000

Using the values, we can calculate the contribution margin ratio:

Contribution Margin Ratio = ($455,000 / $1,100,000) * 100 = 41.36%

Therefore, the contribution margin ratio is approximately 41.36%.

d. Operating Income:

Operating Income = Sales - Variable Costs - Fixed Costs

Using the values provided:

Operating Income = $1,100,000 - $645,000 - $282,500 = $172,500

Therefore, the operating income is $172,500.

For more questions on Operating .

https://brainly.com/question/550188

#SPJ8

We follow the inclusive rule, The answer to the question is (A) that is

if y>=10 and y <=50

In mathematics, an interval is expressed in numerical terms. All the numbers between two specific integers are referred to as an interval. All actual values between those two are included in this range. Any form of number you may imagine is a real number.

The intervals used are:

(a , b) , All the numbers between a & b without including them.

[a, b] , All the numbers between a & b including them.

y lies in [10,50].

And since it means that it includes 10 and 50 and all the numbers between them.

The final answer is (A) that is if y>1=10 and y <=50.

To learn more about number intervals visit:

https://brainly.com/question/13708942

#SPJ4

Answer:

6 months

Step-by-step explanation:

We can set up an equation based on his monthly savings to find out how long it will take for Hatif to reach $630 in his account.

Let's assume it takes Hatif "n" months to reach $630 in his account. Each month, he saves $80.

The equation representing the situation is:

$150 + $80n = $630

Now, let's solve for "n":

$80n = $630 - $150

$80n = $480

n = $480 / $80

n = 6

Therefore, it will take Hatif 6 months to reach $630 in his account.

Answer:

QR and ST

Explanation:its right

Answer:

3

Step-by-step explanation:

The values of the expressions are;

z³³

d⁻¹⁶

Note that index forms are described as forms used in the representation of numbers or variables too large or small.

Some rules of index forms are;

Then, from the information given, we have that;

(z⁻⁴/z⁶  × z⁵/z⁻⁶)⁻¹¹

Subtract the exponents, we have;

(z⁻² × z⁻¹)⁻¹¹

expand the bracket

z²² ⁺ ¹¹

z³³

(d⁴)⁻³/(d⁶)⁻²  ÷  (d⁴/d⁶)⁻⁸

expand the brackets

d⁻¹²/d¹²  ÷    (d⁻²)⁻⁸

subtract the exponents

d⁰  ÷  d¹⁶

d⁻¹⁶

Learn more about index forms at: https://brainly.com/question/15361818

#SPJ1

Answer:

19. x = 60

20. x= 27

Step-by-step explanation:

19. Given 2 triangles are congruent

so BQ/BC = BR/BD

30/84 = x/168

84x = 30(168)

84x = 5040

x = 5040/84 = 60

20. Given 2 triangles are congruent

QS/QP = ST/PR

18/x = 10/15

10x = 18(15)

10x = 270

x = 270/10 = 27

Answer:

C. 16/20

Step-by-step explanation:

Given:

To find:

Sine Theta

Sine of Theta is defined as the ratio of the perpendicular to the hypotenuse.

In this case, the perpendicular is 16 and the hypotenuse is 20.

Sin theta : Perpendicular/Hypotenuse

Therefore, Sin Theta = 16/20

The cost of the tomatoes, in dollars per pound, using proportions, is of:

$0.86 per lb.

A proportion represents a fraction relative to a total amount, which is combined with the basic arithmetic operations, especially multiplication and division, to find the desired amounts in whichever context of a problem.

In this problem, the costs is obtained as follows:

Hence the cost in dollars per kg of the tomatoes is obtained as follows:

1.74 x 1.09 = $1.8966 per kg.

The relationship between kg and pounds is given as follows:

1 kg = 2.20 lb.

Hence the cost is written as follows:

$1.8966 per 2.20 lb.

The cost per pound of the tomatoes is of:

1.8966/2.20 = $0.86 per lb.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

The value of the expression when m = 3 is 13/15. So option(2) is correct.

The equation is defined 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, x + 3 = 4 is an equation, in which x + 3 and 4 are two expressions separated by an 'equal' sign.

Given the expression as shown below:

2/5 m - 1/3

If m is equal to 3, then the expression will be;

2/5(3) - 1/3

6/5 - 1/3

Find the LCM

6/5 - 1/3 = 3(6)-5/15

6/5 - 1/3 = 18-5/15

6/5 - 1/3 = 13/15

Therefore the value of the expression if m = 3 is 13/15

To learn more about equations here visit

https://brainly.com/question/2463132

#SPJ9

The cost of the five-minute call will be equal to $0.72.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Ron got a cell phone rate of C(a)=0.22+0.10a. The cost of a five-minute call will be calculated as,

Cost = 0.22+0.10a

Cost = 0.22 + ( 5 x 0.10 )

Cost = 0.22 + 0.50

Cost = $0.72

The five-minute call will cost $0.72.

To know more about an expression follow

https://brainly.com/question/18591719

#SPJ1

Answer:

D.

Step-by-step explanation:

(m^2- 4n)(m^4+4m^2n+16n^2)

Option D is our correct answer.

i.e (m² - 4n) (\(m^{4}\) + 4nm + 16n²).

Given,

\(m^{6}\) - 64n³

We need to find the factored form of this.

And select the correct options.

A. (m2 + 4n)(m4 − 4m2n + 16n2)

B. (m − 4n2)(m2 + 4mn2 + 16n4)

C. (m + 4n2)(m2 − 4mn2 + 16n4)

D. (m2 − 4n)(m4 + 4m2n + 16n2)

It is given as:

( a - b ) ( a² + ab + b² )

Find the factored form \(m^{6}\) - 64n³

We can write this as,

\((m^{2})^3\) - 4³n³

(m²)³ - (4n)³

This is in the form of (a³ - b³).

Applying this formula.

Now,

(m² - 4n) ((m²)² + 4nm + (4n)²)

(m² - 4n) (\(m^{4}\) + 4nm + 16n²)

Thus Option D is our correct answer.

i.e (m² - 4n) (\(m^{4}\) + 4nm + 16n²).

Learn more about how to factorize an equation here:

https://brainly.com/question/21208351

#SPJ6

The inequality that represent each situations are:

a. 6(n + 3) ≥ 42.

b. 6(n + 3) ≤ 42

c. 6(n + 3) < 42

d. 6(n+3) > 42.

To write the inequality for each of the situations, translate each statement into algebraic expressions and use the appropriate inequality sign where necessary.

Thus, let the unknown number be represented as n.

a. The statement, "at least 42" means not less 42, which is the same as "greater than or equal to 42".

Therefore, the first statement is represented by the inequality, 6(n + 3) ≥ 42.

b. "6 times n and 3 is at most 42" is written as, 6(n + 3) ≤ 42

c. "6 times n and 3 is less than 42" would be translated as: 6(n + 3) < 42

d. "6 times n and 3 is more than 42" would be, 6(n+3) > 42.

Learn more about inequality on:

https://brainly.com/question/24372553

#SPJ1

Step-by-step explanation:

6(n+3)>42

this is your answer

arlynn

The difference between the actual quotient and the estimated quotient of 54,114 ÷ 29 is approximately 66.3448275862068965517241379.

To find the difference between the actual quotient and the estimated quotient of 54,114 ÷ 29, we need to first calculate the actual quotient and then the estimated quotient.

Actual quotient:

Dividing 54,114 by 29, we get:

54,114 ÷ 29 = 1,866.3448275862068965517241379 (approximated to 28 decimal places)

Estimated quotient:

Rounding the dividend, 54,114, to the nearest thousand gives us 54,000. Rounding the divisor, 29, to the nearest ten gives us 30. Now, we can perform the division with the rounded values:

54,000 ÷ 30 = 1,800

Difference between actual and estimated quotient:

Actual quotient - Estimated quotient = 1,866.3448275862068965517241379 - 1,800 = 66.3448275862068965517241379

For mor such questions on quotient visit:

https://brainly.com/question/11418015

#SPJ8

Answer:

D

Step-by-step explanation:

p = 27

r = 0

p(1+r3) = 27

27(1+0(3)) = 27

27(1+0) = 27

27(1) = 27

27 = 27

ANSWER

The distance of the entire track is 2232.48 meters

EXPLANATION

The track is:

If each curve is a semicircle, then between the two curves we have a complete circle. We need to find the circumference of the circle with diameter 74 meters and add twice the length of the straightway to find the distance of the entire track:

The distance of the entire track is:

The proof is incorrect and step number 3 is the first unjustified step due to missing prior step.

A quadrilateral with equal angles and parallel opposite sides is referred to as a rectangle. Around us, there are a lot of rectangle items. The length and width of any rectangle form serve as its two distinguishing attributes. The width and length of a rectangle, respectively, are its longer and shorter sides.

The step 3 in the given explanation is unjustified step. The step needs to be place at the last in order to take in consideration all the steps and properties of a rectangle.

Hence, the proof is incorrect and step number 3 is the first unjustified step due to missing prior step.

Learn more about rectangle here:

https://brainly.com/question/28993977

#SPJ1

Answer:

I think is B

Step-by-step explanation:

The experimental probability of choosing a student who walks to school is given by 0.15625 or 15.625%.

Given data ,

The experimental probability of choosing a student who walks to school can be calculated by dividing the number of students who walk to school by the total number of students in Joe's class.

Number of students who walk to school = 5

Total number of students in the class = 32

Experimental probability = Number of students who walk to school / Total number of students

= 5 / 32

P = 0.15625

Hence , the experimental probability of choosing a student who walks is 0.15625 or 15.625%.

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ1

Answer:

Step-by-step explanation:

Find the perimeter of the rectangle

add the lengths of the rectangle's four sides

24 + 11 + 24 + 11 = 70

The quadrilateral QRST is a trapezoid and not an isosceles trapezoid.

A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides.

Given that, a quadrilateral QRST has vertices Q(−1,0), R(2,2), S(5,0), T(−1,−4).  

We need tof verify that it is a trapezoid or not, we will find slopes of each side,

Slope = y₂-y₁ / x₂-x₁

Slope QR = 2-0 / 2+1 = 2/3

Slope RS = 0-2 / 5-2 = -2/3

Slope ST = -4-0 / -1-5 = 2/3

Slope QT = -4/0 = not defined

QR ║ ST

Since, two slope are equal therefore, the quadrilateral QRST is a trapezoid

Finding the distance between QS and TR

QS = √(5+1)²+(0-0)² = 6 units

TR = √(-1-2)²+(-4-2)² = √9+36 = √45 = 6.70

Since, QS ≠ TR, it is not an isosceles trapezoid.

Hence, the quadrilateral QRST is a trapezoid and not an isosceles trapezoid.

Learn more about trapezoid click;

https://brainly.com/question/12623349

#SPJ1

Answer:

When it's negative when it goes to the other side it becomes a positive.....

Y=(x-4)(x-1)

Make y 0 when your calculating for x

Make x 0 when your calculating for y

0=(x-4)(x-1)

Therefore x=4 or x=1

Each friend had originally 13 action figures before buying 11 more.

Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.

a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.

Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.

The total number of action figures will be 5(x + 11) = 5x + 55.

Now, according to the problem,5x + 55 = 120

This is our equation that models the problem.

b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.

5x + 55 = 120

5x = 120 - 55 (subtract 55 from both sides)

5x = 65x = 13

Therefore, each friend had originally 13 action figures before buying 11 more.

For more such questions on figures, click on:

https://brainly.com/question/24491627

#SPJ8

A = 78.54

A = 3.14r^2

Yes, Gerri is correct and if a number is a multiple of 9 it is also a multiple of 3.

What is a factor?

A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

Here, we have

Gerri says that if a number is a multiple of 9 it is also a multiple of 3.

Since 3 is a factor of 9, anything 9 can go into, 3 can also go into.

3x3=9

So, whenever 9 can go into something, it will take 3 times as many 3s to go into that number.

Example:

3 nines = 27

9 threes = 27

9 is 3 times as many as 9.

Hence, Gerri is correct and if a number is a multiple of 9 it is also a multiple of 3.

To learn more about the factor from the given link

https://brainly.com/question/28923509

#SPJ1