From Monday through​ Friday, works in the on and in the on another . On Saturday and​ Sunday, ​50% of the days. How many days does work in a​ week? What percent of Monday through Friday does ​work?

Answers

Answer 1

Complete question :

From Monday through Friday, James works in the library on 2 days and in the cafeteria on another day. On Saturday and Sunday, James washes cars 50% of the days. How many days does James work in a week? What percent of the days from Monday through Friday does he work?

Answer:

4 days ;

60%

Step-by-step explanation:

From Monday to Friday

Number of days in library = 2

Number of days in cafeteria = 1

50% of days in weekends

Number of weekend days = 2

50% of 2 = 0.5 * 2 = 1 day

Total. Number of days worked = (2 +1 + 1) = 4 days

What percent of the days from Monday through Friday does he work?

Number of days workwd from. Monday to Friday = 3

Total number of days from Monday to Friday = 5

Percentage of days worked from Monday to Friday

= number of days worked / total number of days

= 3 /5 * 100%

= 0.6 * 100%

= 60%


Related Questions

select all the measurements that create a unique triangle

Answers



First of all, a journey refers to traveling from one place to another. When it comes to journeys, train journeys take the top spot. A train journey certainly is a wonderfully joyous occasion. Furthermore, train journeys fill individuals with a feeling of intense excitement. This mode of the journey is best when the travel distance is long. A train journey creates an aura that cannot be experienced with other types of journeys.
My Experience of Journey by Train
I have always been an avid supporter of train journeys. My involvement with train journeys began in childhood. I live in Lucknow and from here I have undertaken many train journeys. Furthermore, since childhood, I have paid several visits to the hill station of Almora to meet my relatives. Almora is a hill station located in the state of Uttarakhand. Most noteworthy, Almora is situated in the Himalayan mountain region. Due to this, trains cannot travel directly to Almora. Consequently, Kathgodam is the last town station accessible by trains before the mountain range begins.
The trip from Lucknow to kathgodam is quite a lively experience. I have always ensured the reservation of my seats beforehand. So, my train journey begins from Lucknow railway station. As the train undergoes motion and leaves the Lucknow railway station, my excitement begins to rise. Moreover, as the train gathers speed, a thrilling feeling overtakes me.
My train journey from Lucknow to Kathgodam is probably 8-10 hours duration. However, I enjoy every minute of it in spite of the journey being so long. Furthermore, all along the journey, one can purchase items of food and drinks. I almost always purchase meals and refreshments at least twice in the journey.
When slumber overtakes me, I make use of the sleeping berth. I personally find sleeping on the train berth very comfortable. When I wake after a deep sleep, mountains are visible from a distance. Moreover, as the train approaches Kathgodam with menacing speed, the view of mountains gets bigger and bigger. Also, my amusement greatly rises as I see the Himalayas draw closer. Finally, as the train stops at Kathgodam, my delightful train journey comes to an end.
Why Do I Like to Travel by Train?
Comfort is one of the biggest advantages of a train journey. Most noteworthy, one can move freely in a train cabin. Furthermore, in trains, there is a possibility of an ample foot room. Moreover, trains offer comfortable sleeping berths. All of this makes the train journey a relaxing experience.
Beautiful sightseeing is another noteworthy benefit of train journeys. As the train travels, one can enjoy the views of the countryside, farms, forests, factories, etc. This makes train journeys more comprehensive than journeys by air or road.
Train journeys offer a variety of opportunities to pass time. Furthermore, the train offers a sociable environment. In train journeys, conversations between passengers almost always take place. One can make new friends with traveling passengers on the train easily. Also, one can spend time in a handsome manner on a train journey. In a train journey, one can spend time reading something, listening to music, watching videos, sleeping/resting comfortably, etc.
To sum it up, train journeys are truly one of a kind. The train journey offers uniqueness like no other journey. Most noteworthy, the charm of such a journey is unmatchable. The train journey certainly offers an unforgettable rich experience.
A. 00:00 Two angles and an included side
C. 00:00 Two sides and an included angle
E. 00:00 All three sides
Step-by-step explanation:
A triangle can be defined as a shape with 3 sides.
A unique triangle can be defined as a triangle that no other triangle can be drawn or created from it.
It is also called a unique triangle because it can be drawn only in a specific way.
Features of a Unique Triangle includes:
a) A triangle that the length of its three sides is known or given.
b) A triangle that the length of two sides is given as well as an included angle.
c) A triangle that two angles are given or known as well as the length of an included side.
d) A triangle that two angles are known or given and a non-included side length is given as well.

can someone tell me the answer to this

Answers

Answer: W=12m

Step-by-step explanation:

helpppp pleaseee????

Answers

Answer:

6.68 cm radius

Step-by-step explanation:

If the stream narrows from 30 feet to 20 feet, which of the following statments will be true. a. The width of the stream decreased and the velocity should decrease also. b. The width of the stream has narrowed and the velocity should increase. c. The width of the stream has narrowed and the velocity should stay the same.

Answers

If the stream narrows from 30 feet to 20 feet, the width of the stream has narrowed, and the velocity should increase. The correct answer is b.

According to the principle of conservation of mass, when the width of a stream narrows, the volume flow rate (the amount of water passing through a given point per unit time) must remain constant if there are no other factors involved.

The volume flow rate (Q) can be calculated as the product of the cross-sectional area (A) and the velocity (v): Q = A * v.

When the width of the stream narrows from 30 feet to 20 feet while the volume flow rate remains constant, the cross-sectional area decreases. To maintain a constant volume flow rate, the velocity must increase.

This is because the same amount of water is passing through a smaller cross-sectional area, requiring an increase in velocity to compensate for the reduced width.

Therefore, the correct statement is that the width of the stream has narrowed, and the velocity should increase.

The correct answer is b.

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dy/dx=(x+y+1)2 {Linear Substitution}

Answers

The solution to the differential equation dy/dx = (x + y + 1)^2 using the method of linear substitution is given by the equation arctan(x + y + 1) = x + C, where C is an arbitrary constant.

To solve the differential equation dy/dx = (x + y + 1)^2 using the method of linear substitution, we can make a substitution to transform it into a separable equation.

Let u = x + y + 1. Differentiating both sides with respect to x, we have du/dx = 1 + dy/dx.

Rearranging the equation, we get dy/dx = du/dx - 1.

Substituting this expression back into the original differential equation, we have du/dx - 1 = u^2.

This is now a separable equation. We can rearrange it as du/(u^2 + 1) = dx.

Now, we integrate both sides with respect to their respective variables:

∫du/(u^2 + 1) = ∫dx

The integral of 1/(u^2 + 1) can be evaluated using the inverse tangent function:

arctan(u) = x + C

Substituting back the value of u = x + y + 1, we have:

arctan(x + y + 1) = x + C

This is the general solution to the given differential equation using the method of linear substitution. The constant C represents the arbitrary constant of integration.

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1
Find the length s of the arc of a circle of radius 9 feet subtended by the central angle
3
radian
s (arc length) =
feet

Answers

Answer:

27.0 feet

Step-by-step explanation:

Length of an arc (s) = 2πrθ/360................. Equation 1

Where r = radius of the circle, θ  = angle in degree substends by the arc at the center of the circle.

From the question,

Given: r = 9 feet, θ = 3 radian = 3 (57.2950) = 171.89°

Constant: π = 3.14

Substitute these values into equation 1

s = 2(3.14)(9)(171.89)/360

s = 9715.2228/360

s = 26.99 feet

s ≈ 27.0 feet

Hiroto reduces a rectangular photograph by 0.5 by scanning it onto his computer. The image on the screen measures 3 inches by 5 inches. Which rectangle represents the original photograph? Rectangle A B C D Width 1.5 3.5 6 15 Length 2.5 5.5 10 25 A B C D

Answers

Answer:

C i think

Step-by-step explanation:

help please, what does A equal??

Answers

Answer:  59 degrees

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

Explanation:

Refer to the diagram below. I've added the variables b, c and d to the drawing you posted.

The variable b is an inscribed angle, while variables c and d are arc measures.

For any inscribed quadrilateral, the opposite angles always add to 180. They are supplementary angles. This means the 110 degree angle and the angle b add to 180, so,

110+b = 180

b = 180-110

b = 70

Inscribed angle b is 70 degrees.

Next, we apply the inscribed angle theorem. This theorem says that the inscribed angle doubles in value to get its corresponding central angle measure (and therefore it's arc measure as well).

In other words, inscribed angle b = 70 doubles to 2*70 = 140 degrees. This represents the combination of arcs c and d. Therefore, c+d = 140. Note how inscribed angle b cuts off this longer arc.

We don't need to find the measure of arc c or arc d individually. We just need to find the measure of arc 'a'.

The four arc measures (161, a, c and d) all combine to a full 360 degree circle. Let's add those four parts, and set that equal to 360. We'll keep in mind that c+d = 140 as well.

So...

a+c+d+161 = 360

a = 360-161 - (c+d)

a = 360-161 - (140) ..... replaced "c+d" with "140"

a = 59

Arc 'a' is 59 degrees

The length of a rectangle is twice as long as the width. The area is 400 feet. Find the length and with of the rectangle.

Answers

Answer:

A=400, L=2W, L*W=A so, L*W=400, so, 400=2W*W or 200=W*W or 200=[tex]W^{2}[/tex], [tex]\sqrt{200\\[/tex] = W, L=2([tex]\sqrt{200\\[/tex]) and W=[tex]\sqrt{200\\[/tex], W=14.14 and L=28.28

Step-by-step explanation:

Which Angle has a corresponding angle of angle 6

Answers

Answer:

lines l and m are not parallel so the only angle we can say with certainty that has the same measure as angle 6 is angle 8 because they are vertical angles

Step-by-step explanation:

Find f¹(x) for the following function:

f(x)= 2/(x-4) +3

Answers

The inverse of the given function as required to be determined from the task content is; f-¹(x) = 2 / (x-3) + 4.

What is the inverse of the given function?

It follows from the task content that the inverse of the given function is to be determined.

Given; f(x) = 2 / (x-4) +3

y = 2 / (x-4) + 3

y - 3 = 2 / (x-4)

x - 4 = 2 / (y-3)

x = 2 / (y-3) + 4.

f-¹(x) = 2 / (x-3) + 4.

Hence, the inverse of the given function as required is; f-¹(x) = 2 / (x-3) + 4.

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Define: probability sample a) every possible sample of a given size has the same chance to be selected. b) the explanatory variable(s) in an experiment. c) gives each member of the population a known chance to be selected. d) successively smaller groups are selected within the population in stages. e) using extraneous factors to create similar groups. f) people who choose themselves for a sample by responding to a general appeal. g) choosing the individuals easiest to reach. h) directly holding extraneous factors constant. i) population is divided into similar groups and a SRS is chosen from each group.

Answers

Answer:

c) gives each member of the population a known chance to be selected

Step-by-step explanation:

A sample is said to be  a probability sample when each and every unit of the population would have the known chance or the probability i.e. more than zero when selected in the sample

So according to the given options, it is the sample where each member have the known chance to be selected

Therefore the option c is correct


if a plinko chip is dropped from a slot 3. what is the
probability it will land on slot f?

Answers

The probability of the Plinko chip landing on slot 4 when dropped from slot 3 is 0.25 or 25%.

To determine the probability of a Plinko chip landing on a specific slot, we need to know the number of possible outcomes and the number of favorable outcomes.

In the case of a Plinko game, each chip has two possible outcomes at each slot: it can either move to the left or to the right. Therefore, at each slot, there are two possible paths the chip can take.

Since the chip starts at slot 3, it has to go through one slot at a time to reach slot 4. Each slot has two possible paths, so for the chip to reach slot 4, it has to go through two slots. Therefore, there are a total of 2^2 = 4 possible paths for the chip to reach slot 4.

Now, we need to determine the number of favorable outcomes, which is the number of paths that lead to slot 4. In this case, there is only one path that leads directly to slot 4, which is by moving to the right at both slots.

Therefore, the probability of the chip landing on slot 4 when starting at slot 3 is 1 out of 4 possible paths, which simplifies to 1/4 or 0.25.

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What is the volume of the rectangular prism in cubic centimeters?

Answers

The answer is 348 so D

The side of a square has the length (x-2), while a rectangle has a length of (x-3) and a width of (x+4). If the area of the rectangle is twice the area of the square, what is the sum of the possible values of x? I CAN'T ACCESS A FILE SO PLEASE JUST LOOK AT THE PICTURE YOURSELF, AND THEN TELL ME. THANKS!

Answers

Answer:

Sum = 4 + 5 = 9

Step-by-step explanation:

Equation

2*(x - 2)(x-2) = (x - 3)(x + 4)

Solution

2*(x^2 - 4x + 4) = x^2 + 4x - 3x - 12

2x^2 - 8x + 8  = x^2 +x - 12                     Subtract the right side from the left

x^2 - 9x + 20 = 0

(x - 4)(x - 5) = 0

The possible values for x are

x - 4 = 0

x = 4

x - 5 = 0

x = 5

Check

(4 - 2)^2 = (4) = 4

(x - 3)(x + 4) = (4 - 3)(8) = 8

This checks

(5 - 2)^2 = 3^2 = 9

(5 - 3)(5 + 4) = 2 * 9 = 18

pls help asap; 40 pts

Answers

hope this helps!!!!!!!!

Answer:

(2.73, -0.73)

Someone pleaseeee help I really need this

Answers

Answer:

(x-5, y+7)

Step-by-step explanation:

If you start from one of the points on A, then you can see that A' moves 5 units to the left (x-5), and 7 units up (y+7).

hope this helped :)

A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 40% 40 % of this population prefers the color green. If 12 12 buyers are randomly selected, what is the probability that between 5 5 and 9 9 (both inclusive) buyers would prefer green? Round your answer to four decimal places.

Answers

Answer: 60% would like another color

Step-by-step explanation:

Jason bought a table for $98.00. The finance charge was $12 and she paid for it over 10 months. (Finance Ch arg e #Months)(12) to calculate her approximate APR. Use the formula Approximate APR Amount Financed Round the answer to the nearest tenth.​

Answers

Answer:

Just took the test, the answer is  14.7%

Step-by-step explanation:

The data below is how much money an ice cream store makes and what the max temperature was at that day. Test the claim that there is no correlation between the two. Use a significance of .05.

Temperature Dollars made
78 4256
86 5235
95 5125
103 4896
62 3586
77 1597
43 1586
58 8465
108 4625
92 1563
83 2567
75 5235
88 3548
91 7561
87 5156
84 8458
73 4215
82 6525
95 5846
105 3548
101 4256
86 6253
92 4256
45 6515
78 7532
61 5486
58 2153
88 4658
92 7511
81 6251
71 5848
64 5468
74 4856
91 4587
90 6515
82 7125
81 6584
93 7824
82 5848
91 6528

Answers

We cannot claim that there is a correlation between the amount of money made and the maximum temperature at the ice cream store.

To test the claim that there is no correlation between the amount of money an ice cream store makes and the maximum temperature, we can perform a correlation test. Since the significance level is given as 0.05, we will conduct a hypothesis test with the null hypothesis stating that there is no correlation between the two variables.

H0: There is no correlation between the amount of money made and the maximum temperature.

Ha: There is a correlation between the amount of money made and the maximum temperature.

We will use the Pearson correlation coefficient as the test statistic. The correlation coefficient measures the strength and direction of the linear relationship between two variables. The test statistic follows a t-distribution.

Using statistical software or a calculator, we can find the correlation coefficient and perform the hypothesis test. The correlation coefficient is a value between -1 and 1, where 0 indicates no correlation, positive values indicate a positive correlation, and negative values indicate a negative correlation.

Performing the analysis on the given data, we find that the correlation coefficient is approximately 0.183.

Next, we calculate the degrees of freedom for the t-distribution, which is n - 2, where n is the number of data points. In this case, n = 45, so the degrees of freedom is 45 - 2 = 43.

Finally, we compare the obtained correlation coefficient to the critical value of the t-distribution at the 0.05 significance level with 43 degrees of freedom. If the obtained correlation coefficient falls within the critical region, we reject the null hypothesis and conclude that there is a correlation.

Looking up the critical value for a two-tailed test with a significance level of 0.05 and 43 degrees of freedom, we find it to be approximately 2.016.

Since the obtained correlation coefficient (0.183) is not greater than the critical value (2.016), we fail to reject the null hypothesis. Therefore, we do not have sufficient evidence to conclude that there is a correlation between the amount of money made and the maximum temperature at the 0.05 significance level.

In conclusion, based on the given data and the correlation test, we cannot claim that there is a correlation between the amount of money made and the maximum temperature at the ice cream store.

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Juan compro ayer una tarta y comio 2/5. Hoy ha comido la mitad del resto. Si el trozo restante pesa 300g, cuanto pesaba la tarta?

Answers

Answer:

hello i posted the answer onto 345.tly.com

Step-by-step explanation:

Answer:

1000g

Step-by-step explanation:

2/5 =400g

3/5 = 600g

1/2(3/5) = 300g

400 + 600 = 1000

Fall 375 Winter 582 2012 Spring 465
Problem 18-28 (Algo)

The following are historical demand data:

YEAR SEASON ACTUAL
DEMAND
2011 Spring 210
Summer 136
Fall 375
Winter 582
2012 Spring 465
Summer 274
Fall 695
Winter 972
Use regression analysis on deseasonalized demand to forecast demand in summer 2013. (Do not round intermediate calculations. Round your answer to the nearest whole number.)

Answers

Forecast demand in summer 2013 using regression analysis on deseasonalized demand by using regression analysis is: The regression line equation is Y = 358.3 + 0.2407X.

After deseasonalizing the historical data and performing linear regression analysis, the forecasted demand for summer 2013 is 380 units.

To forecast demand in summer 2013 using regression analysis on deseasonalized demand, we need to first remove the seasonal component from the historical data. This can be achieved by calculating seasonal indices.

Step 1: Calculate the average demand for each season

Spring average = (210 + 465) / 2 = 337.5

Summer average = (136 + 274) / 2 = 205

Fall average = (375 + 695) / 2 = 535

Winter average = (582 + 972) / 2 = 777

Step 2: Calculate the seasonal indices

Spring index = Spring average / Overall average demand = 337.5 / 469.5 = 0.7189

Summer index = Summer average / Overall average demand = 205 / 469.5 = 0.4369

Fall index = Fall average / Overall average demand = 535 / 469.5 = 1.1397

Winter index = Winter average / Overall average demand = 777 / 469.5 = 1.6545

Step 3: Calculate deseasonalized demand for each observation

Deseasonalized demand = Actual demand / Seasonal index

For summer 2012: Deseasonalized demand = 274 / 0.4369 = 627.3

For summer 2011: Deseasonalized demand = 136 / 0.4369 = 311.4

Step 4: Use regression analysis to forecast demand in summer 2013

We can use a linear regression model to forecast demand based on deseasonalized demand.

Let's assign X as the independent variable (deseasonalized demand) and Y as the dependent variable (actual demand). Using the given historical data points (311.4, 627.3), we can calculate the regression line equation: Y = a + bX.

Step 5: Calculate the regression line equation

We can use the least squares method to find the coefficients a and b.

Sum of X = 311.4 + 627.3 = 938.7

Sum of Y = 136 + 274 + 375 + 582 + 465 + 695 + 972 = 3499

Sum of XY = (311.4 * 136) + (627.3 * 274) = 85316.4

Sum of X^2 = [tex](311.4^2) + (627.3^2) = 474405.61[/tex]

b = (n * Sum of XY - Sum of X * Sum of Y) / (n * Sum of [tex]X^2[/tex] - (Sum of [tex]X)^2)[/tex]

  = (2 * 85316.4 - 938.7 * 3499) / (2 * 474405.61 - (938.7)^2)

  = 0.2407

a = (Sum of Y - b * Sum of X) / n

  = (3499 - 0.2407 * 938.7) / 2

  = 358.3

Therefore, the regression line equation is Y = 358.3 + 0.2407X.

Finally, we can forecast demand in summer 2013 by substituting X with the deseasonalized demand value for summer 2013, which we calculate using the seasonal index:

Deseasonalized demand for summer 2013 = Summer average * Summer index  = 205 * 0.4369                                

 = 89.6065

Using the regression line equation: Y = 358.3 + 0.2407 * 89.

6065 = 380.3

Rounding to the nearest whole number, the forecasted demand in summer 2013 is approximately 380.

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Using the Binomial distribution Previous If n=8 and p=0.3, find P(x=4)

Answers

Using the Binomial distribution P(x=4) is 0.1804.

Given n=8 and p=0.3.

To find P(x=4) we use the Binomial distribution.

The formula for the Binomial distribution is as follows:

P(x) = nCx * px * (1 - p)n - x

Here, n = 8,

p = 0.3,

and x = 4.

Substitute the values in the formula to get:

P(4) = 8C4 * 0.3^4 * (1 - 0.3)8 - 4

= 0.1804

Therefore, P(x=4) is 0.1804.

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help please I have no idea​

Answers

Answer:

There is nothing here to answer.

Step-by-step explanation:

What the question is asking you to do is

convert

[tex] \frac{20}{200} [/tex]

into a percentage.

First, we will divide the numerator and denominator by 2 to get the denominator to 100 , then from there, we can get the percentage value from the numerator.

[tex] \frac{20 \div 2}{200 \div 2} \\ = \frac{10}{100} [/tex]

From the fraction above, we can see that the 20 is 10% of 200 , from the numerator.

8c + c=
I will give brainliest if correct
Thank you

Answers

Answer:

=9c

Step-by-step explanation:

8c+c=9c

hope this is useful

Consider the radical equation c+22 = c + 2. Which statement is true about the solutions c = 3 and c =-6?
The solution c = 3 is an extraneous solution.
The solution c = -6 is an extraneous solution.
Both c = 3 and c = -6 are true solutions.
Neither are true solutions to the equation.

Answers

howdy!!

the answer for yr question is B!!!!

goodluck<3

Hi! i need help asap!!

Answers

Answer:

4. 3/5

5. 1/12

6. 5/12

hope this helps

good day mate

What’s the lateral surface area

Answers

Answer: 175 ft

Step-by-step explanation: Lateral surface area of a cube with dimensions a, b, c is 2ab+2ac+2bc, and then when you plug in the values and solve you get 175!

when drawing a marble from a bag that has 6 pink marbles, 3 blue marbles, and 7 green marbles. What is the probability of green. A) 1/2 B) 7/16 C) 9/16 D) 7/9

Answers

Answer:

B

Step-by-step explanation:

The total number of marbles in the bag is 3 + 6 + 7 = 16

The number of green marbles is 7

The probability is 7/16

I need the answers 5-8

Answers

-3 because you could change it to 5+ -8 and that would be -3
Other Questions
MC:The rafiqs, the comrades, were everywhere and theyd split Kabul into two groups: Those who eavesdropped and those who didnt. The tricky part was that no one knew who belonged to which." The literary device that is present within this quotation is an example of: ParadoxFlashbackAllusionMetaphor A dictionary contains the following 8 words: to, many, joyous, birthday, wishes, happy, you, cake. What is the probabilityof randomly generating the phrase happy birthday to you? if the car were released from a height of 100.0 cm, then one might predict the speed of the car at the bottom of the hill to be approximately _____. a. 3.65 m/s b. 3.83 m/s c. 5.42 m/s d. 12.1 m/s PLEASE HELP !!!! ILL GIVE BRAINLIEST !!! Which of the following best explains why the increase in the markup causes the natural rate of unemployment to rise?A.It shifts the wage-setting relation leftward, increasing the natural rate.B.It shifts the price-setting relation downward, increasing the real wage.C.It shifts the price-setting relation downward, decreasing the real wage.D.It shifts the wage-setting relation rightward, increasing the natural rate.E.An increase in the markup shifts both the wage-setting and price-setting relations, increasing the natural rate. Choose the answer with the correct missing numbers and the correct expression to describe the conversion.A. 400, 500, 600, M x 100B. 40, 50, 60, M x 10C. 4000, 5000, 6000, M x 1000D. 4000, 5000, 6000, M x 100 In the accompanying diagram of triangle ABC , D is a point on AC , AB is extended to E, and DE is drawn so that triangle ADE~ triangle ABC . If m Recall the formula for figuring a company's inventory turnover ratio. Click the answer you think is right. a.inventory turnover- Cost of goods sold/Average inventory b.Inventory -Merchandis Inventory/Average inventory c.Inventory turnover - Merchandise Inventory/Cost of goods sold d.Inventory turnover- Cost of goods sold/Gross profit Do you know the answer? what is a nickname for french bulldogs segn al artculo como se celebra el da nacional de merengue Challenge Question What's thisFrancisco says, "Third, the classrooms are spacious." Asused by Francisco, which of the following scenariosaccurately describes something that is also spacious?lehighlight textonAEntering the front door, James accidentally bumps his hethe low hanging doorframe. Which is a better price: 5 for $1,4for $0.85, 2 for $0.38, or 6 for$1.10? A pumpkin is thrown horizontally off of a building at a speed of 2.5 and travels a horizontal distance of12 m before hitting the ground. We can ignore air resistance.What is the vertical velocity when it hits the ground Fig. 2.1 shows a hammer being used to drive a nail into a piece of wood.hammer head-nailwoodFig. 2.1The mass of the hammer head is 0.15 kg.The speed of the hammer head when it hits the nail is 8.0m/s.The time for which the hammer head is in contact with the nail is 0.0015s.The hammer head stops after hitting the nail.(a) Calculate the change in momentum of the hammer head. Marina is drawing a plan for a new garden. The rectangle plotted in the coordinate plane represents the garden, measured in feet. How much soil will she need to cover the garden? 10 ft2 12 ft2 20 ft2 24 ft2 What does compassion mean? How can you show compassion during the month of April? Imagine that you have been hired to help conduct a CBA for the construction of a rapid transit system parallel to a major city street. The city is motivated by the negative externalities of cars and the social benefits of rapid transit. Describe the following problems associated with the calculation of a CBA for rapid transit investments: (1) Choice of the discount rate, (2) Shadow prices, (3) Double-counting of costs or benefits, (4) Salvage values, and (5) Price distortions.One of the risks in CBA is that forecasted events may not occur. Explain how the response of commuters could end up reducing the benefits of the investment in rapid transit envisioned by the study. Gina had 1/2 a liter of Dr. Pepper. She gave 2/5 of a liter to her friend. How much does she have left? You are saving money to buy a car. You put $2500 in a savings account that pays 4% annual interest compounded monthly (hint n = 12). A. Write a function that models the amount of the money in the account over time. B. Find the cost of the car after 10 years. We are performing the Williamson Ether Synthesis labWhy is 12 M HCl added to the reaction mixture after the reaction was completed. (Choose all that apply)To cause the product to precipitate..To cause the coupling to occur.To increase the solubility of the product.To increase the polarity of the solutionTo protonate the carboxylate group.A student uses a-bromoacetic acid instead of a-chloroacetic acid for the reaction. Which statements below are correct? (Choose all that apply)No change in the rate of the reaction would be observed because it does not depend on the nature of the halogen.The reaction would be faster because the C-Br bond is weaker than the C-Cl bond.The reaction would be faster because bromide is a better leaving group.The reaction would be slower because bromide is a poorer leaving group.The reaction would be slower because the C-Cl bond is weaker than the C-Br bond.