From the following data realting to a company calculate:
(I) the break even sales ; (ii) sales required to earn a profit of rupees 6000 per period

a) The family's best deal is with Smokey's BBG which charges $780 for 60 guests.

b) Choosing Smokey's BBG over Bennie's BBQ will save (difference) the family $40.

The total cost for each company's catering services is worked out using their cost functions.

Smokey's BBG does not charge a fixed cost, unlike Bennie's BBG.

The difference between the total costs of the companies is obtained by subtraction.

The number of guests = 60

                                  Smokey's BBQ       Bennie's BBQ

Catering Fees                       $0                        $100

Charge per person              $13                          $12

The total charge for 60    $780 ($13 x 60)     $820 ($100 + $12 x 60)

Difference between the charges = $40 ($820 - $780)

However, using a system of equations we can determine the number of guests that makes the total cost the same for each company as 100.

Thus, comparing the total costs for the two companies shows the difference or cost savings to be gained by the family.

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Smokey's BBQ charges $13 per person while Bennie's BBG charges a $100 catering fee and $12 per person.

The expression represents the prime factorization of 192 is 2×2×2×2×2×2×3. Therefore, option C is the correct answer.

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

The given number is 192.

The prime factorization is process of writing the given number into product of prime numbers.

Here, 192= 2×2×2×2×2×2×3

Therefore, option C is the correct answer.

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The total area of the rectangle with the provided figures will be equal to 280 inches.

Note that the area of a rectangle is length * width.

So, given this formula:

The  area of the smallest rectangle will be: 4 * 7 = 28

The area of the next rectangle will be: (4 + 2) * (7 + 2)

= 6 * 9

= 54

The area of the next rectangle will be: (6 + 2) * (9 + 2)

= 8 * 11

= 88

The area of the fourth and largest rectangle will be: (8 + 2) * (11 + 2)

10 * 11

= 110

The total area of the angles will be: 28 + 54 + 88 + 110

= 280.

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Answer: The correct answer is yes, he brought enough money to get into the park.

Step-by-step explanation:

Well, let's analyze the information provided:

Admission to the amusement park for 8 students is $ 100. If each student agreed to share of cost equally, it means that we must divide those 100, for each of those students.

Therefore it will remain 100/8 = 12.5

If each student must pay 12.5, and Noah brought $ 13, that means he will have enough money to enter the park, and he will even have $ 0.50 left over.

Answer:

alot

Step-by-step explanation:

Answer:

One solution, x = -10

Step-by-step explanation:

16 (3x − 6) = 18 (4x + 8)

48x - 96 = 72x + 144

-24x = 240

x = - 10

The total cost to paint the room is, $102.375.

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

Given, A room that is 18 feet long, 14 feet wide, and 8 feet high.

Therefore, The surface area of the room is,

= 18×14×8 aq feet.

= 2016 sq feet.

Now, Paint costs $6.50 a gallon and each gallon covers 128 square feet.

Therefore, The number of gallons of paint required is,

= (2016/128) gallons.

= 15.75 gallons.

So, The total cost of painting is,

= $15.75×6.50.

= $102.375.

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The concentration οf hydrοgen ions in a sοlution with pH 2.44 is [tex]2.754\times 10-12 M[/tex]

The pH value is a measure οf the acidity or basicity of a solution. It is defined as the negative lοgarithm (base 10) of the concentration of hydrogen ions (H+) in moles per liter (mol/L) of solutiοn. The pH scale ranges from 0 to 14, where a pH of 7 is considered neutral. Solutions with a pH less than 7 are acidic, while solutiοns with a pH greater than 7 are basic οr alkaline.

a) Given pH = 2.44

We knοw  pH + pOH = 14,

pOH = 14 - 2.44 = 11.56

[tex][H+] = 10^{-pH} = 10^{-2.44} = 3.63\times 10 ^{-3} M[/tex]

[tex][OH-] = 10-pOH = 10-11.56 = 2.754\times 10-12 M[/tex]

b) Given ,pOH = 10.85

and it is knοwn that pH + pOH = 14, thus pH = 14 - 10.85= 3.15

[tex][H+] = 10^{-pH} = 10^{-3.15} = 7.07\times10^{-4 M}[/tex]

[tex][OH-] = 10^{-pOH} = 10^{-10.85} = 1.41\times10^{-11} M[/tex]

c) Given pH = -0.65

and it is knοwn that pH + pOH = 14, thus pOH = 14 +0.65 = 14.65

[tex][H+] = 10^{-pH} = 10^{0.65} = 4.466 M[/tex]

[tex][OH-] = 10^{-pOH} = 10^{-14.65} = 2.23 \times10^{15} M[/tex]

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Complete question:

Calculate the [H+] and [OH-] concentrations for the fοllowing solutions with: (a) pH = 2.44 (b) pOH = 10.85 (c) pH = -0.65

The surface area of all faces of the cube is found as in  150,100 mm².

A solid shape having six square faces is called a cube. Because every square face has an identical side length, each face is the same size.

Area of the cube:

Area = 6*side²

Area = 6*(5)²

Area = 150 cm²

We know:

1 cm = 10 mm

Then,

Area = 150 x 100 mm²

Area = 150,100 mm²

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The complete question is-

The cube has the side length of 5 cm. How to determine the area of all faces in mm2

None of the given angles are complementary angles.

An angle is a geometric figure formed by two rays with a common endpoint called the vertex. The rays are also known as the sides or legs of the angle. Angles are usually measured in degrees or radians and are used to measure the amount of rotation between two lines or planes.

The sum of two angles is 90 degrees if and only if they are complementary angles.

Using this concept, we can add up the angles in pairs to see which ones are complementary:

Angle AFB + Angle BFC = 40 + 60 = 100 degrees (not complementary)

Angle BFC + Angle CFD = 60 + 50 = 110 degrees (not complementary)

Angle CFD + Angle DFE = 50 + 30 = 80 degrees (not complementary)

Angle AFB + Angle DFE = 40 + 30 = 70 degrees (not complementary)

Therefore, none of the given angles are complementary angles.

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Answer:

Below

Step-by-step explanation:

BFC = 60 degrees and  DFE = 30 degrees <===so they are complementery

 because they sum to 90°

The value of the indicated function instances as required to be determined are as follows;

It follows from the task content that a graph is given and the indicated values are to be determined.

By observation of the graph; it follows that;

On this note, f (π) = -3.

f (π/2) = 0.

f ( -3π/2 ) = 0.

The values above are as obtained from the graph.

Ultimately, the value of the indicated function instances are as evaluated from the graph above.

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we will need at least 96 bags of sand to cover the base of the circular pool.

what is circle?

A circle is a two-dimensional geometric shape consisting of all the points that are equidistant from a given point, called the center.

The area of a circular pool with a diameter of 22 feet can be calculated using the formula:

A = πr^2

where A is the area of the circle, π is a constant (approximately equal to 3.14), and r is the radius of the circle (which is half the diameter).

In this case, the diameter is 22 feet, so the radius is:

r = d/2 = 22/2 = 11 feet

Now we can calculate the area of the circle:

A = πr^2 = 3.14 x 11^2 = 379.94 square feet (rounded to 2 decimal places)

To cover this area with sand, we need to know how many bags of sand are required. We are told that one bag of sand covers about 4 square feet, so we can calculate the number of bags of sand required as follows:

Number of bags = Area of pool / Area covered by one bag

Number of bags = 379.94 square feet / 4 square feet per bag

Number of bags ≈ 95 bags

Since we need to round up to a whole number of bags, we will need at least 96 bags of sand to cover the base of the circular pool.

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Answer:

Step-by-step explanation:

gain

loss

gain loss

gain

Answer:

Gains : +1,+10,+3

loss: -3,-5,-9,-100

Step-by-step explanation: I think this question is basically just asking about givings examples of positive and negative numbers

The true statement is the median age of the attendees in the yoga class is greater than the median age of the attendees in the dance class. (option A).

Median is the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order.

Ages of Yoga students arranged in ascending order: 18, 17, 20, 31, 33, 36, 44

Median = 31

Ages of Dance students arranged in ascending order: 20, 23, 26, 30, 38, 42, 47

Median = 30

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The set {A, B, C} is a subset of the set of letters of the alphabet.

A subset is a set that contains only elements that are also in another set, called the superset. In other words, all of the elements in the subset are also contained in the superset.

For example, suppose we have a superset S = {1, 2, 3, 4, 5}. Then, the following sets are subsets of S:

{1, 2, 3}, {2, 4, 5}, {1}, and {} etc.

Here we have

{A, B, C} a subset  

As we know, the set of the alphabet = { A, B, C, D,...  Z }  

which also includes the elements A, B, and C

Hence,

The set {A, B, C} is a subset of the set of letters of the alphabet.

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I think it is C. but i am a little rusty

The required solutions of the equation |3x| = 9 are x = 3 and x = -3.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.

Here,

We can solve the given equation by isolating the absolute value on one side and simplifying it.

|3x| = 9
| x | = 3

Now, we need to solve two separate equations for x:

When x is positive:
|x| = 3
=> x = 3 (since x is positive)

When x is negative:
|x| = 3
-x = 3 (since x is negative)
x = -3

Therefore, the solutions of the equation |3x| = 9 are x = 3 and x = -3.

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Jack does have enough length of rope to tie his packages.

The same attribute is presented using a unit conversion, but in a differing unit of measurement. For examples, time can be indicated in minutes rather than hours, and distance can be depicted in kilometers, feet, or other types of measurement unit instead of miles.

So, concert all units in inches:

7 yards = 7*36 = 252 inches

4 feet = 4*12 = 48 inches.

Total length of rope = 252 inches.

Required rope = 84 inches + 48 inches

Required rope = 132 inches.

Thus,  Jack does have enough rope to tie his packages.

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Answer:

33 27 plus 6 = 33

Step-by-step explanation:

For your question just change domain x=-4,-2,0,2,4 to the function y=-1/2x to find y and graph.

Answer:

x=118

y= 35

Step-by-step explanation:

180-62= 118

180-145=35

The value of x from the trapezium is 118° and the value of y from the trapezium is 35°.

What is a trapezium?

A trapezium is a quadrilateral with two parallel sides. It has two non-parallel sides that are called the legs of the trapezium, and the other two sides are called the bases.

From the given trapezium 4 angles are x, y, 62° and 145°.

Here, x+62°=180° (Sum of allied angles is 180°)

x=180°-62°

x=118°

Now, y+145°=180°

y=180°-145°

y=35°

Therefore, the value of x from the trapezium is 118° and the value of y from the trapezium is 35°.

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In response to the query, we can state that r: the annual rate of increase equation (6% in this case)

In a math equation, two assertions are connected by the equals sign (=), which denotes equivalence. A mathematical assertion used in algebraic equations establishes the equivalence of two mathematical statements. For instance, in the equation 3x + 5 = 14, the equal sign creates a space between the values 3x + 5 and 14. To comprehend the relationship between the two sentences written on opposing sides of a letter, utilise a mathematical formula. The logo and the specific programme typically correspond. An illustration would be 2x - 4 = 2.  

Explicit Formula:

[tex]a_n = a_0 \times (1 + r)^n[/tex]

Recursive Formula:

[tex]a_n = a_{n-1} \times (1 + r)[/tex]

where:

[tex]a_n[/tex]: the value of the action figure after n years

[tex]a_0[/tex]: the initial value of the action figure ($1100 in this case)

r: the annual rate of increase (6% in this case)

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V(0) is the initial value of the action figure, and the recursive formula calculates the value of the action figure after n years by adding 6% of the previous year's value to the previous year's value.

What is equation?

In a math equation, two assertions are connected by the equals sign (=), which denotes equivalence. A mathematical assertion used in algebraic equations establishes the equivalence of two mathematical statements.

Let V(n) be the value of the action figure after n years.

Explicit formula:

V(n) = 1100(1 + 0.06)^n

Recursive formula:

V(0) = 1100

V(n) = V(n-1) + 0.06V(n-1)

Therefore, V(0) is the initial value of the action figure, and the recursive formula calculates the value of the action figure after n years by adding 6% of the previous year's value to the previous year's value.

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Using linear programming, the minimum weekly labor cost of $2,616 occurs when there are 84 full-time employees and 67.2 part-time employees (which can be rounded up to 68 part-time employees)

a. Let x be the number of full-time employees and y be the number of part-time employees.

b. The constraints are:

c. The objective function is to minimize the weekly labor cost, which is given by:

Cost = 25x + 18y

d. To graph the solution region, we can first graph the inequality 40x + 25y ≥ 4200 as a line:

Next, we can graph the inequality x ≥ 1.25y as a line:

The feasible region is the shaded region that satisfies all the constraints and is bounded by the two lines and the x and y axes:

To find the corner points, we can solve the system of equations for the lines that form the boundaries of the feasible region:

Now we can evaluate the objective function at each of the corner points:

Therefore, the minimum weekly labor cost of $2,616 occurs when there are 84 full-time employees and 67.2 part-time employees (which can be rounded up to 68 part-time employees).

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The function has domain = {2, , 5, - 4, - 5} and rangle = {1, 4, 5, 3, - 6} and it is not a function.

Suppose we have an ordered pair (x, y) then the domain of the function is the set of values of x and the range is the set of values of y for which x  is defined.

From the given coordinate plots the ordered pairs are,

(2, 1), (2, 4), (5, 5), (- 4, 3), and (- 5, - 6).

We know a relation is not a function when two distinct ordered pairs have the same x-coordinate.

In this case (2, 1) and (2, 4) have the same x-coordinate and hence it is not a function.

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Quantitative data can be discrete or continuous

Answer:

the frequency of someone interru

Step-by-step explanation:

The correct answer is (d) noise. Unwanted sound that is regarded loud, unpleasant, or disruptive to hearing is called noise.

Even if the label "unwanted" is arbitrary, some sounds are frequently regarded as noise. A sound pressure level, expressed in decibels, is used to measure or anticipate noise (dB).

here, we have,

The measurements and noise meter used depend on the application; different noise metrics can account for magnitude, frequency, and time in different ways.

and, we have,

Another illustration is workplace noise, where the effect of noise on hearing loss is of utmost importance.

To offer a degree of exposure that can be associated to the possibility of hearing loss in employees exposed to the sound during the course of exposure, both the intensity and duration of sound are combined.

Hence, The correct answer is (d) noise. Unwanted sound that is regarded loud, unpleasant, or disruptive to hearing is called noise.

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Complete question:

ivan is trying to understand the concern of an angry customer, but several employees keep interrupting the conversion. these interruptions are an example of

The expression that is equivalent to 2(9x+6)/3-(8x-4)/2 is 8x, the correct option is T.

Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that;

The function=2(9x+6)/3-(8x-4)/2.

Now,

First, let's simplify the expression given:

2(9x+6)/3 - (8x-4)/2 = (18x + 12)/3 - (4x - 2) = 6x + 4 - 2x + 1 = 4x + 5

Now let's check which of the given expressions are equivalent to 4x + 5:

M. 2(x + 1) = 2x + 2 (not equivalent)

R. 2x+6 (not equivalent)

R. 2x + 2 (not equivalent)

S. 2(x + 3) = 2x + 6 (not equivalent)

T. 8x = 8x - 40 + 45 = 4x + 5 (equivalent)

Therefore, the answer of the given expression will be 8x.

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Answer:

the radius is 1

Step-by-step explanation:

Answer:

  x = -1 (multiplicity 2)

Step-by-step explanation:

Given the cubic f(x) = x³ -x² -5x -3 has x=3 as a root, you want the other roots.

You can find the quadratic factor of the polynomial using synthetic division. That tells you ...

  f(x) = (x -3)(x² +2x +1)

You recognize the quadratic factor as the perfect square trinomial ...

  x² +2x +1 = (x +1)²

The remaining roots will be the values of x that make these factors zero:

  x +1 = 0   ⇒   x = -1 . . . . . and the other is the same: multiplicity 2

The remaining roots are x=-1 and x=-1.

__

Additional comment

We find a graphing calculator to be a quick and easy way to find the real roots of higher-degree polynomials. They are shown in the second attachment.

Answer: 113.56235 Liters

Step-by-step explanation:

Answer:

3600

Step-by-step explanation:

Based on the given conditions, formulate: 4000 x ( 1 - 10\% )

Calculate the sum or difference:4000 x 0.9

Calculate the product or quotient:3600

get the result: 3600

Answer: 3600