What is the greatest common factor of 18 12 16

After cross multiplying the given equation the value of x turns out to be 9.

What is cross multiplication?

21 × X =9×21

X = 9

After cross multiplying the given equation the value of x turns out to be 9.

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1a)The total direct manufacturing cost incurred to make 14,000 units is $162,400.

1b)The total indirect manufacturing cost incurred to make 14,000 units is $99,400.

2a)The total manufacturing cost directly traceable to the Manufacturing Department is $261,800.

2b)The total fixed portion of the sales representatives’ compensation is $14,000.

3a)The total direct selling expense that can be readily traced to individual sales representatives is $32,200.

3b)The total fixed portion of the sales representatives’ compensation is $14,000.

Cost Accounting is a procedure in which raw data are refined and provides information to the management which plays an important role in the decisions to be taken. The product costs and cost of services can be ascertained with the help of cost accounting.

In variable costing only the manufacturing costs which vary with the output are treated as product costs. As such only the variable part of the manufacturing cost like direct materials, direct labor and variable portion of manufacturing overhead is treated as product cost.

The costs which are incurred for the production of a product are product costs. The costs which are the considered and included in the product costs are direct materials, direct labor and manufacturing overhead.

The costs which are expensed when incurred are referred to as period costs. These costs are not capitalized. These costs are not considered as a part of cost of goods sold. It includes selling expenses, advertising expenses, depreciation expense etc.

Those costs which remain constant and do not change with the changes in the level of activity are known as fixed costs. It is also referred to as time-related costs. Examples of fixed expense are: Fixed factory overhead, Fixed selling and administrative expense, Depreciation, Property taxes.

When the manufacturing department is the cost object, then in such a case the cost incurred for manufacturing the product also includes the manufacturing overhead costs. Such costs are to be directly traced to the products. So, the total direct manufacturing cost incurred is computed by multiplying the cost per unit obtained by adding the direct materials, direct labor, variable manufacturing cost per unit and fixed manufacturing cost per unit by the number of units. Therefore, the total direct manufacturing cost incurred to make 14,000 units is $261,800.

When the manufacturing department is the cost object, then the costs incurred in the manufacturing department is to be allocated to the products directly. Such costs are directly traceable to the products. When the cost object is Manufacturing Department then the indirect manufacturing costs does not exist because the costs are traceable to the Manufacturing Department easily. Therefore, the manufacturing costs are not to be considered as indirect costs when the Manufacturing Department is the cost object.

The total fixed selling expense is computed by multiplying the fixed selling expense per unit by the number of units. Then, the amount of advertising expense is deducted from the total fixed selling expense to compute the fixed portion of the sales representatives’ compensation. Therefore, the amount of fixed portion of the sales representatives’ compensation is $14,000.

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Answer:

a(A) = 0

Step-by-step explanation:

John has 7 five-dollar bills, 5 ten-dollar bills and 3 twenty-dollar bills.

Total number of bills with John = 15

Total money with John = $145

John has a mix of $5, $10 and $20 bills

Let the number of $5 bills be x, $10 bills are y and $20 bills be z

Formulating the equations:

5x + 10y + 20z = 145-------(1)

x + y + z = 15--------(2)

As per the question, the number of ten dollar bills is one less than twice the number of twenty dollar bills:

y = 2z - 1

Putting y = 2z-1 in equating (1) and (2) we get:

5x + 10(2z-1) + 20z = 145

5x + 20z - 10 + 20z = 145

5x + 40z = 155--------(3)

x + y + z = 15

x + 2z - 1 + z = 15

x + 3z = 16--------(4)

Multiplying equation (4) with 5 and using Gaussian Elimination to equate (3) and (4)

5x + 40z = 155

5x + 15z = 80

25z = 75

z = 3

Putting z=3 in (4) we get

x = 7 and y = 5

So, John has 7 five-dollar bills, 5 ten-dollar bills and 3 twenty-dollar bills.

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(1.143 × 10¹) is 12.7 times larger than (9 × 10⁻¹). The correct option is the last option 12.7

From the question, we are to determine the factor by which 1.143 × 10¹ is larger than 9 × 10⁻¹

To determine how many times larger the number is, we will divide 1.143 × 10¹ by 9 × 10⁻¹

Carrying out the division operation

(1.143 × 10¹) ÷ (9 × 10⁻¹)

= (1.143 ÷ 9) × (10¹ ÷ 10⁻¹)

= (1.143 ÷ 9) × (10¹ ÷ 10⁻¹)

= 0.127 × (10¹ ⁻ ⁽⁻¹⁾)

= 0.127 × (10¹ ⁺ ¹)

= 0.127 × (10²)

= 0.127 × 10²

= 12.7

Hence, (1.143 × 10¹) is 12.7 times larger than (9 × 10⁻¹). The correct option is the last option 12.7

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The original cost of the dress is $14.45

The dresses were sold for $17 each

This price was 85% of the original price

Therefore the original cost of the dress can be calculated as follows

85/100= 0.85

The first step is to calculate the original pre sale price

17= 0.85x

x= 17/0.85

= 20

The original cost of the cloth is

= 0.85 × 17

= 14.45

Hence the original cost of the cloth is $14.45

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The coordinate of the square L'M'N'O' will be L′(−7, 6), M′(−2, 6), N′(−2, 1), and O′(−7, 1). Then the correct option is A.

Each higher dimensional space mapping to itself constitutes a spatial transformation, which preserves some spatial link between the figures.

Square LMNO has vertices, L(−4, 2), M(1, 2), N(1, −3), and O(−4, −3). ​Square LMNO is translated 3 units left and 4 units up to produce square L′M′N′O′.

The transformation rule will be given as,

(x', y') = (x - 3, y + 4)

Then the coordinate of the square L'M'N'O' will be

L′(−7, 6), M′(−2, 6), N′(−2, 1), and O′(−7, 1)

Then the correct option is A.

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Answer: 120 ==> scale

8.4 m==> longer side

Step-by-step explanation:

6 m=

6*100 cm=600 cm

600/5=120 ==> scale

7*120=840 cm

840 cm=

840/100 m=8.4 m ==> longer side

Answer:

1. 13, 18, 23, 28, 33, 38, 43, 48, 53

Conjecture: Each term is 5 more than the previous term.

2. 512, 256, 128, 64, 32, 16, 8, 4, 2

Conjecture: Each term is half of the previous term.

3. 1, 8, 27, 64, 125, 216, 343, 512, 729

Conjecture: Each term is a cube. To find the nth term, cube n.

4. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31

Conjecture: Each term is the next consecutive prime number.

5. Correct as is

6. 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89

Conjecture: Each term is the sum of the 2 previous numbers.

Step-by-step explanation:

1.

Given: 13, 18, 23, 28

We add 5 to each number

13 + 5 = 18

18 + 5 = 23

23 + 5 = 28

28 + 5 = 33

33 + 5 = 38

38 + 5 = 43

43 + 5 = 48

48 + 5 = 53

2.

Given : 512, 256, 128, 64

Divide each number by 2

512 ÷ 2 =256

256 ÷ 2 = 128

128 ÷ 2 = 64

64 ÷ 2 = 32

32 ÷ 2 = 16

16 ÷ 2 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

3.

Given: 1, 8, 27, 64

We have to cube n:

n³ = consecutive number cubed

1³ = 1 or 1 × 1 × 1

2³ = 8 or 2 × 2 × 2

3³ = 27 or 3 × 3 × 3

4³ = 64 or 4 × 4 × 4

5³ = 125 or 5 × 5 × 5

6³ = 216 or 6 × 6 × 6

7³ = 343 or 7 × 7 × 7

8³ = 512 or 8 × 8 × 8

9³ = 729 or 9 × 9 × 9

4.

Consecutive prime number: Consecutive prime numbers are those that have no gaps or prime numbers between them.

Look at the picture in the link:

6.

Given: 1, 1, 2, 3, 5, 8

We must add the two previous numbers to get the next term:

1 + 1 = 2

1 + 2 = 3

2 + 3 = 5

3 + 5 = 8

5 + 8 = 13

8 + 13 = 21

13 + 21 = 34

21 = 34 = 55

34 + 55 = 89

Answer:

x ≤ 0 = no solution

Step-by-step explanation:

[tex]\sf (-2x)2x+1-2x=2x-1-2x\\1=-1\\= 0\\No~solution.[/tex]

Answer:

a)9

b)3

c)22

Step-by-step explanation:

(only in 7th so could be wrong)

a

13+7·2

13+14

27

-----------

8-(3+2)

8-3-2

3

----------

27/3

9

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

b

9+3²

9+9

18

----------

2²+2

4+2

6

--------

18/6

3

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

c

(10+2)+(4²-6)

10+2+4²-6

12+16-6

12+10

22

Answer:

16

Step-by-step explanation:

BODMAS

Brackets first, 2+2 = 4

8÷2 = 4

4 x 4 = 16

Answer on Question #54875

–

Math

–

Statistics

and Probability

A normal population has a mean of 0.1 and standard deviation 2.1. Find the probability that the

mean of a sample of size 900 will be negative.

Solution

In accordance with the given problem, we have the following data:

μ

=

0

.

1

,

σ

=

2

.

1

and

n

=

900

. It is known that

푥

~

M

(

μ

,

σ

2

)

and

z

~

N

(

0

,

1

)

The number of line segments in the 100th pattern is equal to 201 line segments.

Triangles are polygons with three sides of equal length, herein we find constructions elaborated with equilateral triangles, in which two new line segments are added when an equilateral triangle is so. Then, the number of line segments can be modelled after the following linear progression formula:

n = 3 + 2 · (n - 1)

Where n is the number of equilateral triangles in the pattern.

If we know that n = 100, then the number of line segments is:

n = 3 + 2 · (100 - 1)

n = 3 + 2 · 99

n = 3 + 198

n = 201

The number of line segments in the 100th pattern is equal to 201 line segments.

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Answer:

Omar can ride the roller coaster 4 times and will have 4 tickets leftover.

Step-by-step explanation:

For a more simple problem like this, long division is not necessary.

You may have learned the technique of finding how many times a divisor can "go in" to the dividend.

In this case, 5 (the cost of riding the coaster) can go into 24 (the amount Omar has) 4 times, because 5, 10, 15, 20. However, going in one more time puts us at 25, which Omar does not have, so 5 can only go into 24 5 times.

Since there is still 4 tickets leftover, Omar can ride the coaster 4 times, and will have 4 tickets left.

The required equation Chris wants is is h = 7.5a.

An equation is a mathematical expression for equation two similar terms in different form.

According to the given question Chris is studying a type of coral that grows at a constant rate.

Given at 2 years the height of the coral is 15 cm,At 4 years the height of the coral is 30 cm and at 6 years the height of the coral is 45 cm.

To find the constant rate of change we divide height by age which is

= 15/2

= 7.5.

Thus an equation can be formed by h= 7.5a where h represents height and a represents age.

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Answer: h=7.5a

Step-by-step explanation: The only reasonable answer

Answer: See attached for the graph. The slope is [tex]\frac{-4}{5}[/tex].

Step-by-step explanation:

     First, we will graph the points.

See attached.

Next, we will find the slope. This can be done with "rise over run". We will start at (-5, 5) and count 4 down and 5 right to (0, 1). This gives us a slope of;

     [tex]\frac{-4}{5}[/tex]

Answer:

B

Step-by-step explanation:

Capitals represents countries as the function

Answer:

Step-by-step explanation:

x=

43/2

Answer:

[tex]x=\frac{43}{2}[/tex]

Step-by-step explanation:

[tex]Rule: \left(a\right)=a\\=3x+5+x-1=90\\3x+x+5-1=90\\3x+x=4x \rightarrow 4x+5-1=90\\5-1=4 \rightarrow 4x+4=90\\(-4)~4x+4-4=90-4\\4x=86\\(\div 4)~\frac{4x}{4}=\frac{86}{4}\\x=\frac{43}{2}[/tex]

Answer:

24

Step-by-step explanation:

First, we know the total number of students: 135

Then we can see that 22+31+28 students like two flavours: 81

Then we can see how many students like all three flavours: 15

Because the students who like two flavours are counted twice, we need to subtract them once.

Because the students who like three flavours are counted three times, we need to subtract them twice.

So we get 135-81-15*2

135-81-30

24

24 students do not like any of the given flavours

if this was helpful pls give me brainliest <3

Answer: 24 students dislike any of the flavors

Step-by-step explanation:

Soo since you have the diagram without any error it the other question soo at the start of the question they have told that in total there are 135 students.

so at the all the number of students with the different types of flavors then you will get the total amount of students who like 2 kinds of flavors and all three flavors.

31+22+28+15+15= 111 students  (since the students who like three flavors are counted three times, we need to subtract them twice, I add it here to make it easier *15+15*)

so next you should subtract that amount from the total amount of students  who likes multiple flavors in order to get the number of students who dislikes and of the flavors.

135-111= 24 students dislike any of the flavors

I hope this helped you I tried my best... I hope this is understandable and good luck!

According to this the temperature in February = 4.5°F.

The absolute value (or modulus) of a real number x is its non-negative value regardless of its sign. For example, 5 has an absolute value of 5, and 5 has an absolute value of 5. A number's absolute value can be conceived of as its proximity from zero along the real number line.

The temperature on the same day in February has the same absolute vale as the temperature in the January, but is not the same temperature according to this the temperature in February = 4.5°F.

The absolute value is the same but not the same temperature:

|-4.5| = 4.5

So,

Its 4.5°F

According to this the temperature in February = 4.5°F.

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Around 27 of the observations are expected to lie beyond this interval.

Given data values of 10000 observations, 0.27 percent of 10000 is 0.27∗10000100=27. 0.27 ∗ 10000 100 = 27.

A set of real numbers known as an interval in mathematics contains all real numbers falling inside any two of the set's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 x 1.

The numbers in between any two particular provided numbers are referred to as an interval. For instance, the interval containing 0, 5, and all values between 0 and 5 is the set of numbers x satisfying 0 x 5.

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Answer:

22

Step-by-step explanation:

The ratio tells us 2/5 of the swimmers are indoor swimmers.

55(2/5)=22

x+5=0 is ans

Step-by-step explanation:

x=-5

therefore,x+5=0

Answer:

2-18

2,5

7,18

Step-by-step explanation:

hi

5(x+4) =1/2 *(12)* (2X-6)

5x+20 =  6 * ( 2x-6)

5x+20 = 12x-36

5x-12x = -36-20

-7x =  -56

  x = -56/-7

 x = 8

Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in.

=============================================================

Explanation:

Let's say the top and bottom sides are 10 inches and (x+2) inches.

If this was a parallelogram, then those opposite sides must be parallel and the same length. So x+2 = 10 which leads to x = 8 after subtracting 2 from both sides.

Now let's consider the other pair of opposite sides (x+5) and (2x-3), which would be the left and right sides. Set them equal to one another and solve for x.

x+5 = 2x-3

x-2x = -3-5

-x = -8

x = 8

We arrive at the same x value, which confirms we do have a parallelogram.

Use this x value to find the unknown sides

x+2 = 8+2 = 10

x+5 = 8+5 = 13

2x-3 = 2(8)-3 = 13

This parallelogram has sides of 10, 13, 10, 13

It might be helpful to think of a 10 by 13 rectangle. However, the parallelogram may or may not be a rectangle.

[tex]\frac{12}{2} (x+6)=2x-9[/tex]

[tex]6x+36=2x-9[/tex]

[tex]4x = -45[/tex]

[tex]x = -\frac{45}{4}[/tex]

Hope that I helped you!

Answer: y=3x-6

Step-by-step explanation:

ANSWER:y=1/(3x-6)

Step-by-step explanation:

i think you are asking for the change of subject of formula(Transposition of subjects).

x=1/3y+2

multiply both sides by 3y

x × 3y=1/3y × 3y + 2 × 3y

3xy=1+6y

collect like terms

3xy-6y=1

fractionalize

y(3x-6)=1

divide both sides by (3x-6)

y=1/(3x-6)

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