Rose bought 12 kg of raisins. She packed them into bags so that each bag weighs 3/4 kg. How many bags did she pack?

Answers

Answer 1

Answer: 16

Step-by-step explanation:

You need to divide 12 by 3/4

To do this you turn 12 into a fraction by making it 12/1

Then you do Keep Change Flip

Keep 12/1

Change the division into multiplication

Flip 3/4 into 4/3

Then you do 12/1 × 4/3 which is 48/3

Finally you simplify 48/3 into 16


Related Questions

Find the quotient

-37. 44 = 4. 8

Check reasonableness by estimating:

-37. 44

4. 8

Estimated quotient:

Answers

-37. 44 / 4. 8 gives  -7.8 when dividing -37.44 by 4.8 by simple dividing rule whereas after rounding off -37.44 and 4.8 that will be -37 and 5 will be 7.4.

In the given problem Division is = 4. 8 and dividend is = -37. 44, And as per law Division is divided by dividend  (Division/dividend), and the result produced, is called quotient In this case in this case, Quotient is -7.8.

And -37.44 is approximately -37 As .44 is rounded off to .00 (As per law 0-4 is 0 and 5-9 is rounded up to the next digit. And 4.8 could be around off to 5. And now if -37 is divided by 5 estimated will be 7.4.

Learn More about division: https://brainly.com/question/25289437

#SPJ4

In triangle MNO, Angle M is congruent to angle O. NO = 12 and OM=14. Find MN

Answers

The length of MN for this problem is given as follows:

MN = 12.

How to obtain the length of MN?

The law of sines states that the sine of each angle is proportional to the side length opposite the angle.

The angle opposite to side MN is given as follows:

O.

Which is congruent to angle M, and the side opposite to angle M is:

NO = 12.

Hence the length of MN is also given as follows:

MN = 12.

(as it is opposite to a congruent angle to the opposite side with length of 12).

More can be learned about the law of sines at brainly.com/question/4372174

#SPJ1

4. The two trapezoids below are similar. What
is the length of segment EF?
24 am
A
D
30 cm
B
C
G.
7.5 cm
X
E
H


Help please

Answers

The two trapezoids below are similar. The value of Ef will be 6.

What is the similarity?

If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.

Given that there are two trapezoids ABCD and GHEF. The length of EF = x will be calculated as:-

Apply the similarity property in the two trapezoids.

AB / FE = DC / GH

24 / x = 30 / 7.5

x = ( 24 x 7.5 ) / 30

x = ( 1800 / 300 )

x = 6

Hence, the value of the side x = EF = 6.

To know more about similarities follow

https://brainly.com/question/14422880

#SPJ1

simplify the following monomials (-a²b)ª

Answers

Answer:

[tex]\displaystyle{(-1)^aa^{2a} b^a}[/tex]

Step-by-step explanation:

The following expression can be rewritten as:

[tex]\displaystyle{\left((-1)\cdot a^2 \cdot b\right)^a}[/tex]

In this case, we have to separate -1 out of a² since if a becomes even, the value of (-a)ª will become positive while (-a)ª becomes negative when a is odd.

We can apply the law of exponent when:

[tex]\displaystyle{\left(a \cdot b \cdot c \right)^m = a^m \cdot b^m \cdot c^m}[/tex]

Therefore:

[tex]\displaystyle{\left((-1)\cdot a^2 \cdot b\right)^a = (-1)^a\cdot a^{2a}\cdot b^a}\\\\\displaystyle{\left((-1)\cdot a^2 \cdot b\right)^a = (-1)^aa^{2a} b^a}[/tex]

This will make when a = even numbers, the expression is positive while negative when a is odd.

And no, the answer is not [tex]-a^{2a} b^a[/tex] since this will make the expression negative only but the problem can be positive when a = even number which is why we have to separate -1 out of -a² so that it meets the condition.

Hence, the answer is [tex]\displaystyle{(-1)^aa^{2a} b^a}[/tex]

if I have 645 markers, and they can fit 15 in a pack how many packs of markers do I have

Answers

You can have 43 packs of the 645 markers (645 ÷ 15 = 43)

Step-by-step explanation:

First, you can make 42.33 packs of markers with 645 markers and 15 markers per pack. This is calculated by dividing the total number of markers (645) by the number of markers per pack (15), which gives you 42.33.

How do you do this problem

Answers

Answer: C)39

Step-by-step explanation:

6x+507+317+3x=122

9x+824=122

9x=122-824

9x=-702

x=-78

6x+507

6(-78)+507

-468+507

=39

A water sample shows 0. 097 grams of some trace element for every cubic centimeter of water. Owen uses a container in the shape of a right cylinder with a radius of 6. 7 cm and a height of 13. 3 cm to collect a second sample, filling the container all the way. Assuming the sample contains the same proportion of the trace element, approximately how much trace element has Owen collected? Round your answer to the nearest tenth

Answers

The amount of trace element collected by Owen is 59.3 g.

To calculate the amount of trace element collected by Owen, we first need to find the volume of the container. Given the radius of 6.7 cm and the height of 13.3 cm, the volume of the cylinder is given by:

V = π * r^2 * h = π * (6.7)^2 * 13.3 = 615.96 cm^3

Since there are 0.097 grams of the trace element per cubic centimeter of water, the amount of trace element in the container can be calculated as:

m = V * 0.097 g/cm^3 = 615.96 cm^3 * 0.097 g/cm^3 = 59.32 g

Rounding to the nearest tenth, the answer is 59.3 g.

To learn more about amount here:

https://brainly.com/question/28970975

#SPJ4

Please help the question is a photo! We need to find the area and we use 3.14 or 22/7

Answers

The area of the circular figure which is the top of a can drink with a diameter of 3 inches is about 7.065 square inches

What is a circular figure?

A circular figure is one that has no edges or sharp corners, and which is essentially round (in the form of a disc or the path described by rotary motion) in shape.

A circular object occupies the largest area per diagonal compared to other regular shapes, as the circular inscribes other regular shapes within its circumference.

The shape in the figure is a circle

The diameter of the circle, D = 3 in.

The formula for finding the area of a circle, A, for which the diameter is presented as follows;

Area of the circle, A = π·D²/4

The approximation of the value of π to be used are 3.14 or 22/7

The area is obtained by plugging in the values of D and π in the formula for the area of a circle as follows;

The area of the figure is; A = 3.14 × 3²/4 = 7.065

The area of the figure is about 7.065 square inches

Learn more about the area of regular shapes here: https://brainly.com/question/3886316

#SPJ1

You are traveling west on the highway. At 1:00 you pass kilometer marker 485. At 4:30 you pass kilometer marker 154. What has your average velocity been.

technically a physical science question but i didn't know what to label it.

Answers

The average velocity is 94.6km / hour

What is average velocity?

Average velocity is defined as the change in position or displacement (∆x) divided by the time intervals (∆t) in which the displacement occurs. The average velocity can be positive or negative depending upon the sign of the displacement. The SI unit of average velocity is meters per second (m/s or ms-1).

therefore average velocity = change in displacement / change in time

change in displacement = 485 - 154 = 331 km

change in time = 4:30-1:00 = 3 hours 30minutes = 3½ hrs

average velocity = 331/3.5

= 94.6km/hour

learn more about average velocity from

https://brainly.com/question/24739297

#SPJ1

A group of people answer the question:

***How many times did you shop at

Ascobury's last week?"

Here are the results:

[5]

visits v frequency

fv

0

5

1

14

2

18

3

7

4

6

Find the mean number of visits.

Answers

Mean with frequency represented by the number of times people visits the shop is equal to 1.9.

Let 'v' represents the visits of the people.

'f' represents the frequency that is number of times group of people visits the shop.

To calculate mean results of the table are as follow:

Visits ( v)       frequency ( f)         fv

0                            5                     0

1                             14                   14

2                            18                   36

3                            7                     21

4                            6                     24

Mean of the number of visits

= ( Sum of all the fv ) / ( Sum of all the frequency)

= ( 0 + 14 + 36 + 21 + 24 ) / ( 5 + 14 + 18 + 7 + 6 )

= 95 / 50

= 1.9

Therefore, the mean of the number of visits with the given frequency is equal to 1.9.

The above question is incomplete, the complete question is :

A group of people answer the question:

How many times did you shop at Ascobury's last week?

Here are the results:

Visits ( v)       frequency ( f)         fv

0                           5

1                             14

2                            18

3                            7  

4                             6

Find the mean number of visits.?

learn more about frequency here

brainly.com/question/5102661

#SPJ4

Distribute: 5(2x + y -6)

Answers

Answer:

10x+5y-30

Step-by-step explanation:

5(2x+y -6)

5x2=10

5x (-6)= -30

=10x+5y-30

The midpoint of AB is M (-2,5). If the coordinates of A are (1,7), what are the coordinates of B?

Answers

Answer:

B(-5, 3)

Step-by-step explanation:

(1 + x)/2 = -2

1 + x = -4

x = -5

(7 + y)/2 = 5

7 + y = 10

y = 3

B(-5, 3)

The correct answer is 15

Answers

Is that a question? You don't seem to have anything linked or a question posted?

you work as an undergraduate student advisor and you keep track of all athlete students. your data contains information about their age, ethnicity, gender, their gpas and courses taken in year 1, year 2, year 3, and year 4. what type of data is this? cross-sectional data time-series data panel (longitudinal) data none of the above all of the above

Answers

Panel (longitudinal) data is data that is collected over multiple time points.

It is composed of repeated measurements of the same items, such as age, ethnicity, gender, GPAs, and courses taken over a period of time. This type of data allows us to compare changes in the same variables over a period of time. For example, we can compare the GPA of an athlete student in Year 1 to their GPA in Year 4 and look for changes that may have occurred. We can also observe how the courses taken in Year 1 may have had an impact on the GPA in Year 4. Panel data is useful to analyze changes in a population over time and can be used to make predictions about future trends.

Learn more about data here:

https://brainly.com/question/14893265

#SPJ4

Create the number line that represents the solution to the inequality of 3x - 8 greater than 7

Answers

The number line in the image below shows the solution to the inequality 3x - 8 > 7.

How to Create a Number Line that Shows the Solution of an Inequality?

Before we can create a number line that represents the solution of an inequality, we have to solve to find the solution first.

Given the inequality 3x - 8 > 7, solve for x:

3x - 8 + 8 > 7 + 8 (addition property of equality)

3x > 15

3x/3 > 15/3 (division property of equality)

x > 5

The solution is x > 5, therefore, the image attached below shows the number line of the solution.

Learn more about solution of inequality on:

https://brainly.com/question/24372553

#SPJ1

Find the slope of the line.
On a coordinate plane, a line goes through (0, negative 6) and (2, 0).
a.
Negative one-third
c.
3
b.
One-third
d.
Negative 3

Answers

Answer:

3

Step-by-step explanation:

The equation for slope is (y2-y1)/(x2-x1)

We have (0, -6) as our x1 and y1 and (2,0) as our y1 and y2. So now it's plug and play!

=(0-(-6))/(2-0)

=(0+6)/(2-0)

=(6)/(2)

Simplifying this we get 3/1 or in simple terms... 3

12.2 Apples and Oranges
At the corner produce market, apples cost $1 each and oranges cost $2 each.
1. Find the cost of:
a. 6 apples and 3 oranges
b. 4 apples and 4 oranges
c. 5 apples and 4 oranges
8 apples and 2 oranges
Unit 3: Linear Relationships
Lesson 12: Solutions to Linear Equations
Download

Answers

Answer: a. $12, b. $12, c. $13, d. $12

Step-by-step explanation:

a. 1+1+1+1+1+1 = 6, 2+2+2=6, 6+6=12

b. 1+1+1+1=4, 2+2+2+2=8, 4+8=12

c. 1+1+1+1+1=5, 2+2+2+2=8, 5+8=13

d. 1+1+1+1+1+1+1+1=8, 2+2=4, 8+4=2

which procedure can reduce can reduce problems associated with the use of deception by a researcher? a. debriefing b. random sampling c. random assignment d. using only single-blind studies e. using only double-blind studies

Answers

Reporting on a mission, initiative, or the data obtained from it is known as debriefing. Debriefing can reduce problems associated with the use of deception by a researcher. So option a is correct.

Debriefing is the act of reporting on a mission, project, or the data gleaned from it. After an activity or event, a structured procedure examines the actions performed.

Technically speaking, it refers to a method of active intervention that is specialized and developed into more formal meanings like operational debriefing. It is divided into various categories, including, among others, psychological, military, and experiential debriefing.

The following crucial components are often included in effective debriefings:

1. Active participation that goes beyond merely taking criticism in a passive manner.

2. Developmental aim centred on growth and learning

3. A discussion of particular incidents

4. Information from several sources

To learn more about Debriefing link is here

brainly.com/question/28882792

#SPJ4

In the first week of a song's release, it had 16 million streams. each week, the number of streams is 90% of the previous week. how many streams will there be in the sixth week?a. 8,503,056 b. 9,447,840 c. 10,497,600 d. 11,664,000

Answers

Here there is a 10% decrease in the number of streams each week after the song's release. From calculations the number of streams after sixth week is 8,503,056.

Let's look into the data given.

The initial number of streams, X₀ = 16,000,000

The percent decrease is 100- 90 = 10%

So the rate of decrease = 10/100 = 0.10

The period of time, n = 6

The equation to find the final number of streams, X =  X₀ (1-r)ⁿ

                                               = 16,000,000× (1-0.01)⁶

                                               = 8503056.

So the number of streams in the sixth week is 8,503,056

For more information regarding rate and number over a period, kindly refer

https://brainly.com/question/21529826

   

#SPJ4

Answer:

(B) 9,447,840

Step-by-step explanation:

Week         Streams

1                  16,000,000 x 90

2                 14,400,000 x 90

3                 12,960,000 x 90

4                 11,664,000 x 90

5                 10,497,600 x 90

6                 9,447,840 x 90

Therefore, the answer would be 9,447,840

a square has side length of 7.37.3 inin. if the area is multiplied by 1919, what happens to the perimeter?

Answers

The perimeter should be multiplied by 1/3

The side length of the square, which is 7.3 inches,

The square's surface area

Side x Side is Area = 7.3 x 7.3 = 53.29

The square's new area is multiplied by 1/9,

so area is equal to

1/9 x 53.29 and s is equal to 2.4333.

Using the length of the new square as the new perimeter, the square's new perimeter is equal to 9.733 times its side times.

Now that we have calculated the perimeter ratios, we can see that the square's side length is 7.3.

the perimeter is equal to 7.3 times 4 and equals 29.12; nevertheless,

the ratio of the perimeters of the first and second lengths is equal to

29.12/9.733 and is

therefore 3:1.

so, perimeter multiplied by 1/3

To learn more about Perimeter :

https://brainly.com/question/14293748

#SPJ4

What do I put in the boxes

Answers

Step-by-step explanation:

6

7 47

42

-------

R 5

47 ÷ 7 = 6.71428571429

Volume of Composed Figures What is the volume of this container?
15 cm 4,000 cm3 20 cm 6,000 cm3 10 cm 10 cm 900 cm3 20 cm 3,000 cm3 15 cm​

Answers

The volume of the container is 4,500 cm3.

Calculate the volume of the two cubes that make up the container.

For the cube on the left, the volume can be found by multiplying the length (15 cm) by the width (10 cm) by the height (10 cm).

15 cm × 10 cm × 10 cm = 1,500 cm3

For the cube on the right, the volume can be found by multiplying the length (20 cm) by the width (15 cm) by the height (10 cm).

20 cm × 15 cm × 10 cm = 3,000 cm3

Add the two volumes together to find the total volume of the container.

1,500 cm3 + 3,000 cm3 = 4,500 cm3

Therefore, the volume of the container is 4,500 cm3.

To know more about volume here

https://brainly.com/question/1578538

#SPJ4

=
Quadrilateral N' is the image of quadrilateral N under a dilation.
A
B
N
OG
IN
D

Answers

The center of dilation if Quadrilateral N' is the image of quadrilateral N under a dilation is; Point C

What is the center of dilation?

The center of dilation is defined as a reference point that is used to appropriately scale the dilation of a figure.

Now, if we imagine that the corresponding vertices of the two quadrilaterals are extended, then it will be clear that the extensions intersect at a point C.

Therefore we can conclude that point C is the center of dilation by the fact that corresponding parts of a paragraphic intersect at a point.

Read more about center of dilatio at; https://brainly.com/question/3457976

#SPJ1

Liling is making a quilt she starts with two small squares of material and custom along the diagonal then she arranges the four resulting triangles to make a larger square quilt block she wants the large quilt block to have an area of 36 square inches

Answers

Liling will end up with four triangles if she starts with two tiny squares of material and cuts them on the diagonal. Knowing the areas of each of the four triangles will help us calculate the size of the larger square quilt block.

We are aware that the area of a square can be calculated by multiplying one side's length by itself (A = s2). Each of the small squares' ensuing triangles has a base and height that are equal to one-half of its side because the small squares were cut on the diagonal. Therefore, each triangle has a surface area of (1/2) x (1/2) x s2 = (1/4) x s2 = (s2)/4.

If the large quilt block is made up of four of these triangles, then the area of the quilt block is 4 x (s^2)/4 = s^2. Since the area of the large quilt block is 36 square inches, we can set up the equation:

s^2 = 36

To find the length of one side of the large quilt block (s), we can take the square root of both sides of the equation:

s = √36

s = 6 inches

So, the length of one side of the large quilt block is 6 inches, and the area of the block is 36 square inches.

To learn more about area of square:

https://brainly.com/question/25092270

#SPJ4

what does a table with two rows and columns of data represent?

-two separate linear functions
-a diagram
-two ordered pairs
-a linear function

Answers

A table with two rows and columns of data represent a linear function.

How is a linear function represented in a table?A table of values is linear if the rate of change is constant.  A graph that is not vertical and is a straight line is linear. A linear equation is one that has the form y = mx + b. A value table is linear if the rate of change is constant.A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function since it is a straight line in the coordinate plane.A table with two rows and columns of data represent a linear function.

To learn more about linear function refer to:

https://brainly.com/question/2248255

#SPJ1

marcella owns a certain number of candles, and decides to start buying more to open up a candle shop. she decides to start buying 13 more candles a week. after 8 weeks, she has 160 candles. how many candles did she start with?

Answers

Marcella started with 56 candles during her initial purchase

The given problem can be solved by arithmetic approach

Given,

After 8 weeks she has 160 candles

And also, she buys 13 more candles every week

To find her initial number of candles purchased,

Let her initial number of purchase of candles be 'x'

According to the question,

Initial number of candles + (8 weeks * 13 candles/week) = 160 candles

Substituting x, we get

x+(13*8)=160

or, x+104=160

or, x=160-104

or, x=56

Thus, we can say that initially Marcella had bought 56 candles.

To know more about arithmetic problems, visit brainly.com/question/29271423

#SPJ4

A ski resort is planning a year-end promotion by offering a Saturday night special for $109 per person. The high season rate for these rooms is $299. Management wants to hold some rooms for late arrivals that are willing to pay the high season rate. Assume the demand for the high season rate room is approximately normal with a mean of 50 and a standard deviation of 10.

(A) How many rooms should be set aside for full-paying skiers?

Answers

55 rooms should be set aside for full-paying skiers.

Now, According to the question:

Let C represents the contribution that is lost when a reservation is breached.

H represents the loss of opportunity that is associated with not having the availability of anything.

D rep the no- shows with regard to experience in the past

X represents the overbooked number.

All the values here represent the critical probability for yield management.

Let X rep the reserved seats for passengers with full fare

D rep the full fare tickets

F rep the price of full fare

D rep the price of discounted fare

Now, Solving the problem :

P(d< x) < (F -D)/ p × F

= (299 - 109)/0.8 × 299

=  71,012.5

The Z value for 0.71 probability is 0.5

U + Z* standard deviation = 50 + 0.5 *10

= 55 rooms

Learn more about Probability at:

https://brainly.com/question/11234923

#SPJ4

Find the product. (4m + 3)(4m − 3)

Answers

Answer:

= 16m² - 9

Step-by-step explanation:

(4m+3)(4m-3)

= 4m*4m + 4m*3 + 3*4m + 3*-3

= 16m² + 12m -12m - 9

= 16m² - 9

help with these questions pls, thanks :)

Answers

Answer: Based on the formula I was taught, for your first problem it'd be the option that says 813.9 ft and for the second one it'd be your option with 2076.3 square inches.

Answer: D) 813.9 inches

Step-by-step explanation:

Formula for surface area of cylinder is:

A=2πrh+2πr2

r = 6

h = 15.6

A = 2π(6)(15.6) + 2π(6)^2

A = 187.2π + 2π(36)

A = 187.2π + 72π

A = 259.2π

If π is 3.14,

A = 259.2(3.14) = 813.9

What is the least common denominator of 3/4 and 7/12

Answers

12 is the least common denominator between 3/4 and 7/12.

The least common denominator (LCD) of two or more fractions is the smallest number that can be divided by the denominators of each of the fractions without leaving a remainder.

What is the least common denominator in mathematics?

The smallest number among all the common multiples of the denominators is the least common denominator when two or more fractions are provided.

Finding the least common multiple (LCM) of the denominators 4 and 12 will allow you to get the least common denominator of 3/4 and 7/12.

12 is the least frequent multiple of 4 and 12. Therefore, 12 is the least common denominator between 3/4 and 7/12.

Finding the denominators' multiples is another way to locate it. 43 = 12 is the least common multiple and the least common denominator, respectively.

Learn more about  least common denominator

brainly.com/question/19249494

#SPJ1

Other Questions
Which sentence best explains the relationship between cells, tissues. And organs in the human body ted haggard, the pastor of a mega church who publicly condemned homosexuality as a sin, resigned from his position when it was revealed that he engaged in homosexual activity and possessed methamphetamines. this illustrates the concept of . a client is being discharged today from the hospital. the nurse delegates morning care to the unlicensed assistive personnel (uap). the assessment finds that the client is able to stand and ambulate independently without weakness or dizziness. the nurse will delegate what type of care to be provided based on the assessment findings? Which precedent was established by the Supreme Court ruling in Marbury v. Madison?A The federal government has the power to regulate trade among the states.B State governments lack the authority to regulate federal bureaus.C Federal courts determine the constitutionally of a law.D State courts lack the authority to hear cases challenging federal law. the nurse is assessing fall risk in a community. what information would be included in the fall efficacy scale? (select all that apply.) According to the Costa Rica Rainforests Outward Bound School, the rain forests of theworld are disappearing at a rate of 80 acres per minute, day and night. In December 2000,53,694,993 acres of rain forest were destroyed. Which of the following facts about rainforests illustrates the negative effect of their destruction on the environment?A. Trees from the rain forest are used to supply the growing population with lumber forhomes and furniture.B. The release of carbon dioxide into the air during the burning of the rain forests addsto the greenhouse effect.C. The soil of the rain forest is low in nutrients, so farmers cannot reuse the same landevery year.D. Ranchers clear and use the land for pastures for their cattle because land isinexpensive.E. Almost half of the tropical rain forest deforestation occurs in South America. Which of the following characteristics will produce the most desirable smear to be examined using a Gram stain?A. A single drop of cerebrospinal fluid on a slideB. Thick, opaque material from an abscess on a slideC. Thin, monolayer of material from an abscess on a slideD. Six drops of blood from an EDTA tube on a slide need help pls:)) can someone help me to make a poem pls Which of the following facts concerning fixed assets should be included in the summary of significant accounting policies? Depreciation Method Composition No Yes Yes NoNo NoYes Yes Nth root Assign outValues with the nth root of the inValues. The root is specified by rootValue. rootValue inValue Ex: If inValues is [4, 9, 16, 25] and rootValue is 2, then outValues = [2, 3, 4, 5] harrison needs a new toaster. he ask his friends what brands they have, and is looking for one that can handle bagels. he does not think about looking at any other attributes such as energy consumption or warranties. what type of problem solving is harrison undertaking? Which graph represents the solution set of the compound inequality below?x+3 TRUE OR FALSE in a projectized organization the functional manager has complete, or very close to complete, power over the project team. Use the motion map to answer the question. A motion map. The position line is a long black arrow pointing right with x as the reference point at left. Above the line are 3 dots with short vector arrows moving toward x, then a dot, then 2 dots with longer vector arrows moving away from x. Describe the position and velocity of the object based on the motion map. when the robot reaches the gray square, it turns around and faces the bottom of the grid. which of the following changes, if any, should be made to the code segment to move the robot back to its original position in the bottom-left square of the grid and facing toward the bottom of the grid? I need help, please. This is overdue. I need the answers asap(Please don't search up these questions, answer them by knowledge please)(You will get brainliest if it's helpful) What economic problem would be solved by taking money out of circulation (away from people)? What could the Fed do to contract the money supply? What is a contractionary action Congress could take? Why do these contractionary actions help with this problem? explain one key idea about the kind of government the colonist wanted in the declaration of independence(no sites, no plagiarism, make it in your own words, ill give 70 points.) Cost Definitions Wyandotte Company provided the following information for the last calendar year: Beginning inventory: Direct materials $32,400 Work in process 48,000 Ending inventory: Direct materials $22,000 Work in process 20,400 During the year, direct materials purchases amounted to $255,600, direct labor cost was $185,200, and overhead cost was $310,800. There were 40,000 units produced. Required: 1. Calculate the total cost of direct materials used in production. $ 266,000 2. Calculate the cost of goods manufactured. $ 789,600 Calculate the unit manufacturing cost. If required, round your answer to the nearest cent. $19. 74 per unit 3. Of the unit manufacturing cost calculated in Requirement 2, $6. 65 is direct materials and $7. 77 is overhead. If required, round intermediate calculations and your final answers to the nearest cent. What is the prime cost per unit? $ 11. 97 per unit What is the conversion cost per unit? Approximately how far is it fr Syracuse to Cyrene ?