A lunch menu consists of 4 different kinds of sandwiches, 5 different kinds
of soup, and 3 different drinks. How many choices are there of ordering a
sandwich, soup and drink?

Answers

Answer 1

Answer:

4 sandwich + 5 soup +3 drink

total = 20

choices of ordering a sandy , soup and drink =

3/12= 1/4

Answer 2

Final answer:

To determine the number of meal combinations, multiply the number of sandwich, soup, and drink options together. With 4 sandwiches, 5 soups, and 3 drinks, there are 60 different meal combinations.

Explanation:

The student's question is asking for the number of different combinations available when choosing one sandwich, one soup, and one drink from a menu with multiple options for each category. To calculate the total number of combinations, we apply the Fundamental Principles of Counting and use the Multiplication Principle. Since there are 4 kinds of sandwiches, 5 kinds of soup, and 3 drinks, the number of unique combinations can be found by multiplying these numbers together.

Number of combinations = Sandwich options × Soup options × Drink options
= 4 × 5 × 3

The calculation gives us 4 × 5 × 3 = 60 different combinations.


Related Questions

what is the measure of A?

Answers

Answer:

50

Step-by-step explanation:

The inside of a triangle equals 180 and so you subtract the other two values(100 and 30) to 180 and you get 50.

Answer:

50

Step-by-step explanation:

The sum of the angles of a triangle add to 180

A+B+C = 180

A + 100+ 30 = 180

A + 130= 180

Subtract 130 from each side

A+130-130= 180-130

A = 50

Which set of data has the strongest linear association?

Answers

Answer:

Top right

Step-by-step explanation:

The one on the top right has the greatest amount of dots on the line.

hope this helps :)

By looking at the given graphs, we conclude that the set of data with the strongest linear association is the one in the top right.

What is the linear association?

Linear association is a measure of "how much" a set of data behaves like a line.

So, we just need to see which of the given sets of data behaves more like a line (we can compare with the shown lines).

As you can see, in the only set where almost all the points lie in the graphed line is in the top right graph. In the other 3, we can see points outside of the line.

So the set of data with the strongest linear association is the one in the top right graph.

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What is the Mean in the following number sequence:
6, 14, 8, 15, 16, 13, 19​

Answers

Look at the attached picture

Hope it will help u...

Answer: 13

Step-by-step explanation: To get the mean we have to add all the numbers and then divide it by 7 because there are 7 numbers.

6+14+8+15+16+13+19=91

91 divided by 7 = 13

I hope this helps!

i need help!!!!!!!!!!!!!!!

Answers

Answer:

5m = 3890

Step-by-step explanation:

evaluate 49 ÷ (5 + 2) − 2 × (1 + 1)

Answers

Answer:

3

Step-by-step explanation:

49 divided by (5+2) - 2 x (1+1)

49 divided by 7 - 2 x 2

7-4

3

A. 6.3
B. 4.5
C. 7.2
D. 5.4

Answers

The answer is D. 5.4

Answer:

The answer is d, 5.4

Step-by-step explanation:

Please mark me brainliest

Which statement is true?

Answers

Answer:The mode is equal to the minimum

Step-by-step explanation:

Find out the mean, median, mode and minimum

minimum = 48

mean = 50.4

mode = 48

median = 50

Answer:

The mode is equal to the minimum

Step-by-step explanation:

Find out the mean, median, mode and minimum

minimum = 48

mean = 50.4

mode = 48

median = 50

(5k-3)9+k) what is the value of k

Answers

Answer:

Set the factors equal to 0.

(5k - 3)(9 + k) = 0

The zero product property states that if two terms being multiplied have a product of zero, then at least one of them must be zero.  In our case, this means we can set both (5k - 3) and (9 + k) equal to 0:

5k - 3 = 0

5k = 3

k = 3/5

9 + k = 0

k = -9

The value of k is 3/5 and -9.

jordan purchased 30 bags of candy for $12. At that rate how many bags of candy can he purchase for $8

Answers

Answer:

45 bags of candy

Step-by-step explanation:

The first thing is to calculate the money Jordan has, we know that by multiplying the number of bags by their price, that is:

30*12 = 360

I mean, he's got $360, now with this money he wants to buy $8 bags, so it would be

360/8 = 45

That means I could buy 45 bags of candy if they cost $8

Jordan can purchase 20 bags of candy for $8.

Jordan purchased 30 bags of candy for $12. At that rate, to find out how many bags of candy he can purchase for $8, we first calculate the cost per bag of candy by dividing the total cost by the number of bags purchased. This gives us a rate of $0.40 per bag of candy ($12/30 = $0.40). To determine how many bags of candy Jordan can purchase for $8, we then divide $8 by the cost per bag, which is $0.40.

Calculating, $8/$0.40 = 20 bags of candy. Thus, for $8, Jordan can purchase 20 bags of candy at the same rate.

A plot of land has an area of 33.75 square feet. Jackson wants to put a 4-foot by 4-foot shed on the land. He can only do this if the height of the trapezoid is at least 4.5 feet. What is the height of the trapezoid?

Answers

Answer:

the height of the trapezoid is 4.5 feet.

Step-by-step explanation:

i got it right

Final answer:

The height of the trapezoid cannot be determined from the information given in the problem. The areas and base lengths or the lengths of the diagonals of the trapezoid are required to determine its height.

Explanation:

The question seems to be a bit conflicted. First, if we look at the information given, the plot of land with an area of

33.75 square feet

is the space for the trapezoid, not its height. The shed, with its dimensions, will take up 16 square feet. But putting a shed on the trapezoid or relating this to the height of the trapezoid doesn't seem to connect. The

height of the trapezoid

is not something we can determine with the information given. To determine the

height of a trapezoid

, you need either the areas and base lengths or the lengths of the diagonals. Unfortunately, the information about the shed doesn't help in determining the height of the trapezoid.

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The circumference of a circle is 36cm what is the radius?

Answers

Answer:

About 5.73 cm

Step-by-step explanation:

C=2πr so

36=2πr (divide by 2)

18=πr (using 3.14 as π)

18=(3.14)r (divide by 3.14)

r=5.732484076 so

R≈5.73 cm

Final answer:

The radius of a circle with a circumference of 36cm is approximately 5.73cm, calculated by dividing the circumference by the product of 2 and Pi (
).

Explanation:

Calculating the Radius from the Circumference

The circumference of a circle is closely related to its radius through the mathematical constant  which is approximately 3.14159. The circumference (C) can be expressed using the formula C = 2
r
, where r is the radius. Given that the circumference is 36cm, we can rearrange the formula to solve for the radius: r = C / (2
r)
. Substituting the given circumference into the equation, we get:

r = 36cm / (2
3.14159)

By performing the division, we can find the radius of the circle:

r = 36cm / (2 * 3.14159)
r = 36cm / 6.28318
r ≈ 5.73cm

Therefore, the radius of the circle is approximately 5.73cm.

Brandon is pulling a desk to the right with a force of 26.00 N. The force of friction to the left is 3.00 N.
a. Calculate the net force:
b. If the desk accelerates at 2.0 m/s2, find the mass of the desk.

Answers

Step-by-step explanation:

first and foremost start off with a proper FBD (I drew in the forces and acceleration just to refer back to it quicker, assume right and up are positive)

a) F net = Forces aiding the movement - forces opposing

if the box is sliding to the right then we've got

Fnet = 26 + (-3)

[notice how I wrote that they're both being added because they're vector forces]

Fnet = 23 N

b) using Newton's second law of motion, F = ma, we can find the mass

Fnet = ma

rearrange for mass

M = Fnet/a

M = 23 N / 2.0 ms^-2

M = 11.5 Kg

Final answer:

The net force is 23.00 N to the right. The mass of the desk is 11.5 kg.

Explanation:

a. Calculate the net force:

The net force is the vector sum of all the forces acting on an object. In this case, the force of Brandon pulling the desk to the right is 26.00 N, and the force of friction to the left is 3.00 N. Since the friction force is in the opposite direction of the pulling force, we subtract it. Therefore, the net force is 26.00 N - 3.00 N = 23.00 N to the right.

b. If the desk accelerates at 2.0 m/s2, find the mass of the desk:

The equation for calculating the net force on an object is F = ma, where F is the net force, m is the mass, and a is the acceleration. Rearranging the equation to solve for mass, we have m = F/a. Plugging in the values, mass = 23.00 N / 2.0 m/s2 = 11.5 kg.

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Rewrite the expression -3(5)4 as a fraction in simplest form.

A) -1/225
B) -3/25
C) 1/75
D) 3/25

Answers

Answer:

i think B

Step-by-step explanation:

P.s im dumb so I might be wrong

Answer:

(d)

Step-by-step explanation:

its d its (75)

in the figure below AC and BE are diameters of circle P. what is the arc measure of DBE in degrees

Answers

The measure of Arc DE is 39 degree.

What are Vertical Angles?

The opposing angles formed when two lines cross. They are constantly on par. In this illustration, the angles a° and b° are vertical. The term "vertical" refers to the vertex, not up or down, where they cross.

Given:

From figure:

m<APB + m<APE = 180 (Linear pair)

4w+ 8 + 4w + 4= 180

8w + 12= 180

8w = 168

w = 21

Also, <APB = <PED + <DPC (Vertical opposite angle)

4w+ 8 = <PED + 2w+ 11

92 = <PED + 53

<PED = 39

So, the measure of Arc DE is 39 degree.

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a 19%
b 26
c 67%
d 28%

Answers

Answer:

d= 28%

Step-by-step explanation:

What do birds such as eagles and hawks need energy for?
A) flying
B) breathing
C) digesting food
D) all of the above

Answers

Final answer:

Birds need energy for flying, breathing, and digesting food. Because of their high metabolism and active lifestyles, all of these processes are crucial for their survival and require substantial energy.

Explanation:

Birds such as eagles and hawks need energy for a variety of activities essential to their survival. The correct answer to what they need energy for is D) all of the above.

These activities include flying, which is a highly energy-intensive activity requiring strong and efficient flight muscles; breathing, because birds have a unique respiratory system adapted for high levels of oxygen intake to support their active metabolisms; and digesting food, since birds have higher metabolic rates than humans, they need to digest their food quickly and eat often to maintain their energy levels.

The digestive process itself also consumes energy as nutrients from food are transformed into usable energy through biochemical reactions.

Final answer:

Eagles and hawks need energy for flying, breathing, and digesting food. Flying requires significant amounts of oxygen and energy due to the bird's efficient but energy-demanding flight muscles. Breathing and digestion are also energy-consuming processes that support the bird's active metabolism and need for frequent food intake.

Explanation:

Eagles, hawks, and other birds require energy for several key activities which are essential for their survival. The energy needs of birds like eagles and hawks encompass flying, breathing, and digesting food. Flying is an activity that demands a great deal of energy since birds need to be light to fly and have powerful flight muscles, making their digestive systems more rapid compared to humans.

Breathing is another crucial activity where birds have adapted a highly efficient respiratory system that enables them to take in the necessary oxygen to support their high metabolic rates. This is especially important because flying consumes a tremendous amount of energy, and birds need to eat often to maintain energy levels due to their quick digestion.

Lastly, digesting food also requires energy, as digestion is the process of breaking down food and transforming nutrients into energy through a series of biochemical reactions. Because birds digest their food quickly, they need to eat greater amounts of food more frequently to meet their high energy demands, which are raised even higher because birds have smaller surfaces to lose heat than humans.

Laisha drew a model on grid paper of a decorator tile that she wants to buy. Each grid line represents 5 cm. Her drawing has coordinates (3, 4), (5, 10), (7, 4), and (5, 0). Calculate the area of the real tile.

Answers

Answer:

The area of the real tile is 20 cm².

Step-by-step explanation:

Plot the points provided on a graph using grid line representing 5 cm each as follows.

The diagram below shows that the model of the tile is in the shape of a kite.

The area of a kite is:

[tex]\text{Area of a Kite}=\frac{p\times q}{2}[/tex]

Here, p and q are the two diagonals.

The measure of diagonals p and q are:

p = 10 cm

q = 4 cm

Compute the area of the kite as follows:

[tex]\text{Area of a Kite}=\frac{p\times q}{2}[/tex]

                       [tex]=\frac{10\times 4}{2}\\\\=10\times 2\\\\=20[/tex]

Thus, the area of the real tile is 20 cm².

Laisha's tile, represented by a rhombus with coordinates (3, 4), (5, 10), (7, 4), (5, 0) on a grid where each line is 5 cm, has a real area of 250 square centimeters, calculated using the formula for the area of a rhombus.

The student is asking about calculating the area of a geometric shape based on its coordinates on a grid. To find the real area of Laisha's tile, we need to determine the shape represented by the given coordinates (3, 4), (5, 10), (7, 4), and (5, 0). Noting that each grid line represents 5 cm, it appears that the shape is a diamond or a rhombus, and we can calculate the area by finding the product of the lengths of the diagonals (the distance between (3, 4) and (7, 4) and the distance between (5, 10) and (5, 0)) divided by two.

The length of one diagonal is simply the distance between (3, 4) and (7, 4), which is 4 grid units, or 4 x 5 cm = 20 cm. The length of the other diagonal is the distance between (5, 10) and (5, 0), which is 10 grid units, or 10 x 5 cm = 50 cm. The formula for the area of a rhombus is (d1 x d2) / 2, where d1 and d2 are the lengths of the diagonals. Plugging in our values, we get (20 cm x 50 cm) / 2 = 500 [tex]cm^2[/tex] / 2 = 250 [tex]cm^2[/tex].

The real area of the tile is thus 250 square centimeters.

20. BUSINESS The function f(x) = 1000-0.01x² models the manufacturing cost per item when x items are produced,
and g(x) = 150-0.001x² models the service cost per item. Write a function C(x) for the total manufacturing and
service cost per item.​

Answers

Answer:

Profit is calculated by subtracting the total cost from the total revenue as expressed in the equation given above as,

   P(x) = R(x) - C(x)

If we are to substitute the given expression for each of the terms, we have, 

  P(x) = x(S(x)) - C(x)

Substituting,

  P(x) = x(30 - 0.01x) - (0.15x³ + 0.01x² + 2x + 120)

Simplifying,

  P(x) = 30x - 0.01x² - 0.15x³ - 0.01x² - 2x - 120

Combining like terms,

  P(x) = -0.15x³ - 0.02x² + 28x - 120

The answer to this item is the second among the choice, number 2. 

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Step-by-step explanation:

Final answer:

To find the total cost function C(x), you combine the manufacturing cost function f(x) = 1000 - 0.01x² and the service cost function g(x) = 150 - 0.001x², resulting in C(x) = 1150 - 0.011x².

Explanation:

To create a function C(x) for the total manufacturing and service cost per item, you will simply add the manufacturing cost function f(x) and the service cost function g(x) together. The provided functions are f(x) = 1000 - 0.01x² for the manufacturing cost per item and g(x) = 150 - 0.001x² for the service cost per item.

When you add these two functions, you get:

C(x) = f(x) + g(x)
= (1000 - 0.01x²) + (150 - 0.001x²)
= 1150 - 0.011x²
This new function, C(x), represents the total cost per item when x items are produced, encompassing both manufacturing and service costs.

Bobby spent 122 minutes on school work the first week, but only spent 109 minutes on school work the second week.

Answers

there is no question to answer here.

but, there is a 13 minute difference in each week

Answer:

what am I suppose to solve the difference of minutes is 13

The manager of a dress shop recorded the number of dresses sold during the week the data is as follows

17 15 16 20 15 19

Find the mean deviation for this data


4.98


1.67


2.21


1.91

Answers

The mean deviation for the data (17, 15, 16, 20, 15, 19) is calculated by finding the mean, determining the absolute differences from the mean for each value, summing those differences, and then dividing by the number of values, resulting in a mean deviation of 1.67.

The mean deviation is a measure of the average distance between each data value and the mean of the data set. To calculate the mean deviation of the given data (17, 15, 16, 20, 15, 19), first we find the mean of these values.

Add up all the numbers: 17 + 15 + 16 + 20 + 15 + 19 = 102.Divide the sum by the number of data values: 102 / 6 = 17. This is the mean.Find the absolute difference between each data value and the mean, then sum those differences: |17 - 17| + |15 - 17| + |16 - 17| + |20 - 17| + |15 - 17| + |19 - 17| = 0 + 2 + 1 + 3 + 2 + 2 = 10.Finally, divide the sum of the absolute differences by the number of data values to get the mean deviation: 10 / 6 = 1.67.

The calculated mean deviation for the provided data is 1.67.

Which two numbers doesStartRoot 52 EndRoot lie between on a number line? 7.0 and 7.1 7.1 and 7.2 7.2 and 7.3 7.3 and 7.4

Answers

√52 = 7.21110...

7.21 is in between 7.2 and 7.3

Answer:

C - 7.2 and 7.3

The two numbers which the square root of 52 lie between are; 7.2 and 7.3.

What numbers does the square root of 52 lie between?

From the task content;

It follows that the square root of 52 must be evaluated as follows.

√52 = 7.211

On this note, it follows that the number 7.211 lies between 7.2 and 7.3.

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What is the range and the domain of: F(x)=x2-2x-3

Answers

Domain: (- inf, inf)
Range: (-3,inf)

Help! Someone please help me

Answers

Use a Pythagorean Theorem calculator online

Can someone help me find the area and perimeter of the composite figure?

Answers

Answer:

Semicircle radius is 4.5

Radius x radius x 3.14 = area of circle but you divide by 2

4.5 x 4.5 = 20.25 x 3.14 = 63.585/2=31.7925 for semicircle

To find the line for the triangle subtract 16 from the other side which is 8 so the triangle is 8 by 3.

8 x 3 = 24/2=12 for triangle

6 + 3 = 9 the missing side.

9 x 8 = 72 so the rectangle is 72

72 + 12 = 84 + 31.7925 = 115.7925 so that is the area

Circumference is the perimeter for the circle. 9 x 3.14 = 28.26

Perimeter of triangle is 19.544

8 + 9 = 17 x 2 = 34

28.26 + 34 = 62.26 + 19.544 = 81.804

Area is 115.7925 and perimeter is 81.804

Step-by-step explanation:

The table contains data for five students: hours slept, x, and corresponding test scores, y. Use the regression calculator to make a scatterplot with a trend line. A 2-column table with 5 rows. Column 1 is labeled x with entries 4, 6, 6, 8, 10. Column 2 is labeled y with entries 62, 75, 88, 79, 97. Based on the trend line, what score would you expect after sleeping for 5 hours? As the number of hours sleeping increases, the coressponding test score

Answers

Answer:

72 & tends to increase

Step-by-step explanation:

just took the test

A student who slept for 5 hours could be expected to score around 68.5,

According to the given information:

The table is,

x           y

4           62

6           75

6           88

8           79

10          97

Now create a scatterplot of the data.

Use the trend line equation to make a prediction for what test score you would expect if a student slept for 5 hours.

From the scatterplot,

The trend line equation is y = 4.3x + 52.4.

To find the predicted test score for x = 5, substitute x = 5 into the equation:

y = 4.3(5) + 52.4 y = 75.9

So you would expect a student who slept for 5 hours to have a test score around 75.9.

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a) 50 degrees
b) 30 degrees
c) 100 degrees
d) 90 degrees

Answers

A 50 degrees is the answer

Answer:

50 degrees

Step-by-step explanation:

It would be 50 degrees because angle CGD is directly across so the angle measures would be the same

PLS SOMEONE LOOK AT THE PHOTO I POSTED AND ANSWER AS SOON AS POSSIBLE PLS ITS ASKING FOR X= AND Y= NOT AN EQUATION JUST PLS ANSWER IT RIGHT

Answers

We can solve it, but we can't actually use the interactive system they want you to use.  Let's see if we can guide you through it.

My guess is you can control the lines by dragging the two points on the line.

Let's make the green line y = 2x + 3

When x=0 we get y=3, point (0,3).   That's the y intercept, 3 up on the y axis.  Drag one green point there.

When x=2 we get y=7, point (2,7), two to the right, seven  up.  Drag the other green point there.   The green line is now y = 2x + 3.

Similarly the red line is made y = -3x + 3.    When x=0, y=3, point (0,3).  [Surprise!]   When x=2, y=-3, point (2,-3).  Drag the red points to (0,3) and (2,-3).

We already saw where they meet, at (0,3), x=0, y=3, the y intercept of both lines.

Answer: x=0, y=3

Which composition of similarity transformations maps TriangleLMN to TriangleL'M'N'? a dilation with a scale factor less than 1 and then a reflection a dilation with a scale factor less than 1 and then a translation a dilation with a scale factor greater than 1 and then a reflection a dilation with a scale factor greater than 1 and then a translation

Answers

Answer:

The answer should be D if you're on edge

Step-by-step explanation:

Triangle LMN is dilated with a scale factor greater than 1 and then translated to form Triangle L'M'N'

What are similar figures?

Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. All the corresponding angles are congruent.

Triangle L'M'N' is larger than LMN. Hence:

Triangle LMN is dilated with a scale factor greater than 1 and then translated to form Triangle L'M'N'

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f(x) = 3x^2+12x+5f(x)=3x 2 +12x+5f, left parenthesis, x, right parenthesis, equals, 3, x, squared, plus, 12, x, plus, 5 What is the value of the discriminant of fff? How many distinct real number zeros does f(x)f(x)f, left parenthesis, x, right parenthesis have?

Answers

Answer:

Discriminant = 84

The polynomial has two real distinct roots

Step-by-step explanation:

Given: [tex]f(x)=3x^2+12x+5[/tex]

To find: discriminant of the given function and number of distinct real zeros

Solution:

For a polynomial [tex]f(x)=ax^2+bx+c[/tex] , discriminant is given by [tex]D=b^2-4ac[/tex]

If [tex]D>0[/tex], then the polynomial has two real and distinct roots.

If [tex]D=0[/tex] then the polynomial has two real and equal roots.

If D<0 then roots are not real.

Here, in [tex]f(x)=3x^2+12x+5[/tex]

a = 3, b = 12 and c = 5

[tex]D=(12)^2-4(3)(5)=144-60=84[/tex]

As D > 0, the polynomial has two real distinct roots.

Answer:

The discriminant of F is 84

F has 2 distinct real number zeros

Step-by-step explanation:

Mowe Middle School has 564 students, which is 60% of the number of students who
otterd Wison Middle School How many students attend Wison Middle School?

Answers

940 students attend Wilson Middle School
Other Questions
prove that 7 + 3 root 2 is not a rational number All of these are describing (x - 5) + (x - 1)Simplify In what forms are Buddhism practiced? PLZ HELP AND ANSWER QUESTION! WILL BE MARKING BRAINLIEST! Tom has just started working as an intern for a local radio station. He is responsible for managing the request line and presenting request trends to management each month. Tom uses Microsoft PowerPoint 2016 to create his presentations. As he hovers over each choice, Tom sees his slide change automatically. What Tom is experiencing is called ____. Two angles in a triangle measure 28 and 939. What is the measure of the third angle?5987121152 Which statement is true?The solution is x = 3.The solutions are x = -2 and x = 3.There are no solutions.There are infinite solutions.DONE what did japan do after ww2 What is one way to summarize all of the values of a data set with a single number? Thank you Ahmed found the volume of a cone having both a height and a diameter of 6 centimeters. His work is shown below. Step 1Find the radius. radius = StartFraction 6 Over 2 EndFraction = 3 centimeters Step 2Find the area of the base. Area of base = Pi (3) squared = 9 pi centimeters squared Step 3Multiply the area of the base by the height. 9 pi times 6 = 54 centimeters cubed Step 4Divide 54 by 3 to find the volume of the cone. Volume of the cone = StartFraction 54 Over 3 EndFraction = 18 centimeters cubed What was Ahmeds first error? In Step 1, the radius should be found by multiplying the diameter by 2. In Step 2, the formula 2 pi r should be used to find the area of the circle. In Step 3, the resulting area should be in terms of pi. In Step 4, the units of the resulting volume should be Centimeters squared. 8. Which is a nonrenewable resource?7 pointscoalwatersoilwoodANSWER PLEASE:) need help w this question mr.brown wants to withdraw 1,000 from his bank in ten dollar bills. how many ten dollar bills should he receive PUPUL 2What is 1,630 divided by 44 as a decimal?37.04537.04537.04537.0454Submit Who was Joseph Stalin in his younger years? At first, colonists came to America to: find adventure, to find gold, or to Christianize natives build a new nation with self-government escape taxation none of the above Your friends preschool-age daughter Madison has recently learned to spell some simple words. To help encourage this, her parents got her a colorful set of refrigerator magnets featuring the letters of the alphabet (some number of copies of the letter A, some number of copies of the letter B, and so on), and the last time you saw her the two of you spent a while arranging the magnets to spell out words that she knows. Somehow with you and Madison, things always end up getting more elaborate than originally planned, and soon the two of you were trying to spell out words so as to use up all the magnets in the full set that is, picking words that she knows how to spell, so that once they were all spelled out, each magnet was participating in the spelling of exactly one of the words. (Multiple copies of words are okay here; so for example, if the set of refrigerator magnets includes two copies of each of C, A, and T, it would be okay to spell out "CAT" twice.) This turned out to be pretty difficult, and it was only later that you realized a plausible reason for this. Suppose we consider a general version of the problem of Using Up All the Refrigerator Magnets, where we replace the English alphabet by an arbitrary collection of symbols, and we model Madisons vocabulary as an arbitrary set of strings over this collection of symbols. What is significant about the temperature -40C?OA. It's the boiling point of mercury.OB. It's the temperature at which Kelvin and Celsius thermometersread the same.OC. It's the temperature at which Fahrenheit and Celsiusthermometers read the same.OD. It's absolute zero. As part of a cancer research project, you have discovered a gene that is mutated in many metastatic tumors. After determining the DNA sequence of this gene, you compare the sequence with those of other genes in the human genome sequence database. Your gene appears to code for an amino acid sequence that resembles sequences found in some serine proteases. Conjecture how your new gene might contribute to the development of highly invasive cancers. Drag the terms on the left to the appropriate blanks on the right to complete the sentences. Dapple Company incurred the following costs while producing 480 units: direct materials, $ 13 per unit; direct labor, $ 26 per unit; variable manufacturing overhead, $ 16 per unit; total fixed manufacturing overhead costs, $ 7 comma 680; variable selling and administrative costs, $ 2 per unit; total fixed selling and administrative costs, $ 4 comma 320. There are no beginning inventories. What is the operating income using variable costing if 430 units are sold for $ 160 each? Steam Workshop Downloader