Angle 3 is equal to angle_

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.

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In the case where a=78, b=716, c=0.8, and d=14, the simplest form of a mixed number is -117/640.

The smallest equivalent fraction of the number is the form that is the simplest. How to find the most basic form: In the numerator and denominator, look for shared factors. Examine the fraction to see if one of the numbers is a prime number.

The term "reduced form" refers to the fraction's simplest form. As an illustration, the simplest form of a fraction with a common component of 1 is 34 However, while 2/4 can be further condensed and expressed as 12, it is not the most basic form.

When the top and bottom of a fraction cannot be any smaller while remaining whole numbers, it is said to be in its simplest form.

b a + c d

b= -7/16

a= 7/8

c= 08.(4/5)

d= 1/4

It can therefore be calculated as follows.

-7/16×7/8 + 4/5×1/4

-49/128 + 1/5

-246+128/640

= -117/640

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The total number of relations in the set s = {1,2,3} is given as follows:

9.

The total number of relations in a set is given by the cardinality of the square of the set.

The square of a set is composed by all the possible pairs that can be formed with the elements in the set.

The set for this problem is defined as follows:

s = {1, 2, 3}.

The set has a cardinality of 3, as it has 3 elements, hence the cardinality of the square of the set is given as follows:

3² = 9.

Which is the total number of relations in the set.

These relations are all the ordered pairs with elements of s, hence:

Relations = {(1,1), (1,2), (1,3), (2,1), (2,2), (2,3), (3,1), (3,2), (3,3)}

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Answer:

227

Step-by-step explanation:

I think

Answer:

look cuh yo no sabo cuhhhhhh

Step-by-step explanation:

no sabo weys

The data represents a quadratic equation which is shown in the graph below.

With all the given information, we can conclude that the function will be a quadratic function.

Knowing that the x-intercepts are at x = -2 and x = 2, then the quadratic equation will be something like:

y = a*(x - 2)*(x + 2)

Where a is the leading coefficient. Now, we also know that the y-intercept is y = -1, then if we evaluate in x = 0 we can get:

-1 = a*(0 - 2)*(0 + 2)

-1 = a*(-4)

1/4 = a

Then the quadratic formula is:

y = (1/4)*(x - 2)*(x + 2)

The graph can be seen below:

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Answer:

21000,14000,and14000

Step-by-step explanation:

3x+2x+2x=49000

7x=49000

x=7000

3×7000=21000

2×7000=14000

2×7000=14000

Answer: 3 dollars for a book.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

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27.45 feet=329.4inches

remember that 1 foot = 12.0 (in). Knowing the number of inches in one foot by simple multiplication we can calculate any values. Let's do a simple calculation using the multiplication:

27.45 (ft) × 12.0 = 329.4 (in)

Thus it is seen that after multiplying by the coefficient we get the following relationship:

27.45 Feet = 329.4 Inches

27.45 feet to inches = 329.4″ (in)

27.45 ft in inches = 329.4″ (in)

27.45 ft into inches = 329.4″ (in)

27.45 ft in = 329.4″ (in)

therefore,      27.45 ft is 329.4″ inches

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Answer:

A)5

D) Z

I dunno

D) X

number 68 I dunno sorry

Answer:

66) A) 5

67) D) Z

68) D) T

69) D) X

The dimensions of the rectangle will be 3 cm. and 16 cm..

Solution:

First, calculating the area of the rectangle, based on these dimensions,

Formula for the area of a rectangle:

A=LW

A=(3)(16), or A=(16)(3)

A=48 cm²✔

So, now we know that these dimensions satisfy the area of the rectangle, but do they satisfy the perimeter of the rectangle?

Now, calculating the perimeter of the rectangle, based on these dimensions,

Formula for the perimeter of a rectangle:

P=2(L+W)

P=2(3+16), or 2(16+3)

P=2(19)

P=38 cm ✔

Now, we know that both of these dimensions satisfy both of the given conditions. So, the final answer is that the two dimensions of the rectangle are 3 cm. and 16 cm.. I hope that this answer helped you find what you were looking for. Enjoy your day, and take care.

The most important thing at the moment of determining proportions between graphs in a coordinate plane, is that the scale of each axis in the coordinate plane are the same. That is, the units that you use for horizontal axis must be equal to units that you use for vertical axis.

Then, the reached proportions comes from the fact of making quotient between specific sides of segment of a graph. For example, you have two graphs and you want to know about thier proportions. You measure the length, of a segment of one graph, mean AB, and the segment of another graph, mean CD, and a convenient proportion can be obtained from:

p = AB/CD

Based on the information, we can infer that the gumball machine had 530 blue gumballs, 106 red gumballs, 848 green gumballs, 424 pink gumballs, 212 yellow gumballs.

To find the amount of gum of each color that was in the machine we must perform rules of three as shown below:

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After 4.5 seconds, the baseball will have dropped approximately 99.35 meters.

To find out how far the baseball will have dropped after 4.5 seconds, we need to use the free fall formula.

The terms involved in this calculation are:
Time (t): 4.5 seconds.

Acceleration due to gravity (g): 9.81 m/s² (approximated)
Distance dropped (d)
The free fall formula is:
\(d = (1/2) \times g \times t^{2}\)
Now, we will plug in the given values and solve for d:
Substitute the values
\(d = (1/2) \times 9.81 \times  (4.5)^{2}\)
Calculate the square of time
\(d = (1/2) \times 9.81 \times 20.25\)
Multiply the values
d = 99.3525.

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Answer:

6

-16

-5

0

Step-by-step explanation:

Step-by-step explanation:

(-2) + (+8) = 6

(-9) + (-7) = -16

(-4) + (-9) = -5

(-7) + (+7) = 0

The correct option is that the data are nearly symmetric.

Data is graphically represented using a histogram. Rectangles with an area equal to the frequency of the data and a width equal to the class interval make up the histogram. When employing a population sample, standard deviation is thought to be the most acceptable measure of variability.

The histogram would be skewed to the right if the mean was higher than the median. The histogram would be skewed to the left if the mean was lower than the median. As seen from the graph the data are nearly symmetric is a correct statement.

Therefore, the correct statement is that the data are nearly symmetric.

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Answer:

student ticket = $11

(adult ticket = $15)

Step-by-step explanation:

Let a = price of adult ticket

Let s = price of student ticket

Given:

⇒ 12a + 11s = 301

Given:

⇒ 6a + 4s = 134

Multiply 6a + 4s + 134 by 2 then subtract from 12a + 11s = 301 to eliminate a:

⇒ (6a + 4s = 134) × 2:  12a + 8s = 268

  12a + 11s = 301

- (12a + 8s = 268)

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

            3s = 33

⇒ s = 33 ÷ 3 = 11

Substitute found value of s into one of the equations and solve for a:

⇒ 12a + 11(11) = 301

⇒ 12a + 121 = 301

⇒ 12a = 180

⇒ a = 15

Therefore, the price of an adult ticket is $15 and the price of a student ticket is $11

Answer:

10. x ≈ 15,9

11. x ≈ 17,5

Step-by-step explanation:

10. Use the Pythagorean theorem:

\( {x}^{2} = {17}^{2} - {6}^{2} = 289 - 36 = 253\)

\(x > 0\)

\(x = \sqrt{253} ≈15.9\)

11.

\( {x}^{2} = {9}^{2} + {15}^{2} = 81 + 225 = 306\)

\(x > 0\)

\(x = \sqrt{306} ≈17.5\)

The correct equation that matches the given graph is y = cos(x) + 1.

To determine the equation that matches the given graph, we can observe the key features and points provided.

The waveform starts from the y-axis at 1 unit: This suggests that the function has a vertical shift of 1 unit upwards.

The waveform passes through (π, -1), (2π, 1), and (3π, -1): This indicates that the function oscillates between the values of -1 and 1 as x increases.

The waveform intercepts the x-axis at π/2, 3π/2, 5π/2, and 7π/2: This suggests that the function has zeros or x-intercepts at these values.

Based on these observations, the function can be represented as a cosine function.

The cosine function with a vertical shift of 1, oscillating between -1 and 1, and having zeros at π/2, 3π/2, 5π/2, and 7π/2 is:

y = cos(x) + 1

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we have that the actual length is 3*35=105 feet and the actual width is 1.5*35=52.5 feet. So the area is:

The required solution is 5+39e.

What is arithmetic?

The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications

Given :

Write down the question as an algebra problem, with the unknown as X

The unknown is a number plus 5, so we write it as (X+5). The product is four times (X+5), so we write it as 39(X+5). Set it equal to e, as per the question, 5+39e

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Answer:

see below and attachment

Step-by-step explanation:

a=30°

because, the marked angle of 30° is an alternate interior angle to angle a.  Alternate interior angles are congruent, and we know they are congruent because the 2 horizontal lines are parallel.

b=50°

because the marked angle of 50° is a vertical angle to angle b.  Vertical angles are congruent because 2 lines that intersect have opposite congruent angles, making them vertical angles to each other.

c=50°

because the marked angle of 50° is a corresponding angle (same side angle) to angle c.  These corresponding angles are congruent because the 2 horizontal lines are parallel.

d=100°

because the 3 interior angles of a triangle must add up to 180°.  We have 30°, 50°, so the last angle must be 100°.  We can also figure this out because the bottom horizontal line is a straight line, meaning the angle is also 180°.  We have angle a as 30°, angle c as 50°, so angle d must be 100°.

Hope this helps!  See attachment for visual.

Step-by-step explanation:

Volume of prism = 3.2 × 7.4 × 2.5

= 59.2 cm³

Answer:

59.2 cm³

Step-by-step explanation:

I Took the test (k12)

Step-by-step explanation:

an example is if he went 20mph to work and the drive back he goes 60mph.

The location of L″ is (-5, 0).

To find the location of L″, we first need to apply the first translation rule to the coordinates of trapezoid JKLM:

J': (x, y) → (x + 3, y - 3) => J'(-2+3, 1-3) = J(1, -2)

K': (x, y) → (x + 3, y - 3) => K'(1+3, 1-3) = K(4, -2)

L': (x, y) → (x + 3, y - 3) => L'(3+3, -2-3) = L(6, -5)

M': (x, y) → (x + 3, y - 3) => M'(-4+3, 2-3) = M(-1, -1)

Now, we need to apply the second translation rule to the coordinates of J', K', L', and M':

J'': (x, y) → (x - 1, y + 1) => J''(1-1, -2+1) = J''(0, -1)

K'': (x, y) → (x - 1, y + 1) => K''(4-1, -2+1) = K''(3, -1)

L'': (x, y) → (x - 1, y + 1) => L''(6-1, -5+1) = L''(5, -4)

M'': (x, y) → (x - 1, y + 1) => M''(-1-1, -1+1) = M''(-2, 0)

Therefore, the location of L″ is (-5, 0).

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Answer:

(5,-4)

Step-by-step explanation: