If the HCF is 5 and the product of the two numbers is 70, find the value of LCM.

Answers

Answer 1

If the HCF is 5 and the product of the two numbers is 70, then the value of LCM is 14.

Do two numbers make a product when they are the LCM of two numbers?

The smallest number that can be divided by both numbers is known as the least common multiple, or LCM, of two numbers. The product of the two numbers is the LCM if their greatest common divisor is 1, in which case their product is 1.

Using the fundamental theorem of mathematics, how do you find the HCF and LCM?

First, multiply both numbers by their prime factors to express them. Then, multiply the common factor with the highest power by the remaining factors to obtain the LCM. Take the common factors with the lowest power and multiply them to determine HCF.

To find the LCM of two numbers, you can use the formula: LCM = (a * b) / HCF.

In this case, we know that the HCF is 5, and the product of the two numbers is 70. Therefore, we can substitute these values into the formula:

LCM = (70) / 5 = 14.

So the LCM of the two numbers is 14.

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Related Questions

Determine the value of x.

A) 2√3 B) 6√3 C) 12 D) 12√3

Answers

The required measure of the value of x is given as 2√3. Option A is correct.

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc. In algebraic operations.

here,
Consider the given triangle,

perpendicular = 6
base = x

Applying trigonometric operation,
tan30 = perpendicular/base
tan30 = 6/ x
x = 6/√3
x = 2√3

Thus, the required measure of the value of x is given as 2√3. Option A is correct.

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Can someone pls tell me how to do this?

Simplify (5y)³

Answers

Answer: 125y³

To rise a product to a power, rise each factor to that power:

(5y)³ = 5³y³ = 125y³

72 ounces and 6 steaks = what rate and unit rate

Answers

the answer is 9oz/ per steak

its 9/16 close to 0, 1/2 or 1 explain

Answers

Answer: It's closer to 1/2

Step-by-step explanation: It's closer to 1/2 and here's why:

So, 1/2 (exact) is 8/16

0 = 0

1 = 16/16

Since 9/16 is the closest to 8/16 or around 1/2 in this case, it'd be about 1/2. I hope this helps!

Lucas hosted a New Year's dinner for his employees.
The total bill was $1,011.50. He left the server a 20%
tip. How much money did Lucas tip the server?
Round your answer to the nearest hundredth.

Answers

Answer:

  $202.30

Step-by-step explanation:

You want to know the value of a 20% tip on a bill of $1011.50.

Tip

The tip amount can be found by multiplying the bill amount by the tip percentage:

  20% · $1011.50 = $202.30

Lucas tipped the server $202.30.

__

Additional comment

You know that 10% of the amount can be found by moving the decimal point one place: $101.15.

20% of the amount will be double this value: $202.30. You can do this math mentally.

please help me thank you so much

Answers

1) E = 1/2F - E has half of what F has

2) 1/2F - half of what F has

Please help im timed on this

Answers

The slope of the line is 1.25 and the value of x is 12.

What is slope of a line?

A line's slope is defined as the ratio of the change in y coordinate to the change in x coordinate. A line's slope provides information on the steepness and direction of the line. the angle at which two straight lines intersect.

Given that:

rise =10

run = 8

The slope is determined by the following formula:

Slope = Rise / Run

[tex]Slope = \frac{10}{8} = 1.25[/tex] .

The slope of a line equation is given by:

[tex]y_2 - y_1 = m (x_2-x_1)[/tex]

Here, m is the slope of the equation.

Substitute the value of [tex]m= \frac{10}{8}, y_2=21 , y1= 6, x_2 =x, x_1= 0[/tex] in the equation.

[tex]21-6 = \frac{10}{8}(x-0)\\ \\15= \frac{10}{8} (x)\\\\(15)(8) = 10x\\\\120=10x\\\\x=12[/tex]

Hence the value of x is 12.

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Answer:

The slope of the line is 1.25 and the value of x is 12.

Step-by-step explanation:

A store is having a sale on almonds and jelly beans. For 5 pounds of almonds and 2 pounds of jelly beans, the total cost is $12. For 3 pounds of almonds and 8 pounds of jelly beans, the total cost is $31. Find the cost for each pound of almonds and each pound of jelly beans.

Answers

To find the cost of each pound of almonds, we need to find the difference in the cost of the almonds between the two purchases and divide it by the difference in the number of pounds of almonds. In this case, the difference in the cost of the almonds is $31 - $12 = $19 and the difference in the number of pounds of almonds is 3 - 5 = -2 pounds. Dividing the difference in the cost by the difference in the number of pounds gives us $19/-2 = $-9.50 per pound. This means that the cost of each pound of almonds is $-9.50.

To find the cost of each pound of jelly beans, we can use a similar process. In this case, the difference in the cost of the jelly beans is $31 - $12 = $19 and the difference in the number of pounds of jelly beans is 8 - 2 = 6 pounds. Dividing the difference in the cost by the difference in the number of pounds gives us $19/6 = $3.17 per pound. This means that the cost of each pound of jelly beans is $3.17.

How many 2/3 Tablespoons are in a half Tablespoon

Answers

Therefore , the solution of the given question of equation come out to be

x = 1/3 tablespoon .

Define equation.

Two variables that are equal—one on each side of a "equals" sign—are represented mathematically by an equation. Equations can be used to solve problems in daily life. To tackle challenges in real life, we frequently seek pre algebra assistance. The very foundation of mathematics is pre-algebra.

Here,

Given : 2/3 cup Tablespoons

We have to find the half Tablespoons

So,

In order to find the half Tablespoons

Thus,

=> 1 Tablespoon = 2/3Tablespoons + x

where x is the half Tablespoons

=> x = 1/3 tablespoon

Therefore , the solution of the given question of equation come out to be

x = 1/3 tablespoon .

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Which of the following is the correct equation for the trend line in the scatter plot?

Answers

The equation of the trend line will be : Y = (1/4)x - 1.

What is trend line in scatter plots?A trend line is a straight line that best represents the points on a scatterplot. The trend line may go through some points but need not go through them all.

Given is a scatter plot a shown in the image.

The general equation of a straight line is -

y = mx + c

{m} - slope

{c} - intercept along the y - axis

We can find the slope as follows. The line passes through the points -

(4, 0) and (0, - 1). We can write -

m = (- 1 - 0)/(0 - 4)

m = - 1/-4

m = 1/4

and

[c] = - 1

So the equation of the trend line will be -

Y = (1/4)x - 1

Therefore, the equation of the trend line will be : Y = (1/4)x - 1.

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A machinist must cut 12 strips of metal that are each 3 ft 4 7/8 in. long. What is the total length needed in inches?

Answers

The total length needed in inches will be 490.5 inches.

How to calculate the fraction?

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

Since the machinist must cut 12 strips of metal that are each 3 ft 4 7/8 in. long  The total length needed in inches will be:

= (3 ft 4 7/8 inch × 12)

Note that 1 feet = 12 inches

= (12 × 3) + (4 7/8) × 12

= (36 + 4.875) × 12

= 490.5 inches

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Please help will mark Brainly

Answers

The correct answer is 6

Autumn received $150 for her birthday this year.
This was $10 less than half the amount she
received last year. How much money did
Autumn receive for her birthday last year?
Write an equation to model this situation.
Let x = the amount of money Autumn received
last year

Answers

(150/2)-10=x
Autumn received $65 last year

If you work for an airline need to sit a passenger every 30 seconds. If the doors open at 9:35 am, what time does the last passenger sit if there are 110?

Answers

The answer i think is 10:30 am because you just have to multiply the number of seconds with people youll get 3,300 seconds divide that by the number of seconds are in a minute (60 seconds) then you’ll get 55 mins then its adding from there

Answer: 10:30 am

Step-by-step explanation: If you need to seat a passenger every 30 seconds, (half of a minute, which is 60 seconds), for every minute, 2 passengers will be seated. So, if you seat 2 passengers for a min each until you have seated 110 people, you will have taken up 55 minutes in total. (110 divided by 2 passengers a min). And finally, 55 minutes past 9:35 am would be 10:30 am. Hope this helps!

Find the equation of a line that passes through the points (2,7) and (4,6). Leave your answer in the form y = mx + c​

Answers

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{6}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{4}-\underset{x_1}{2}}} \implies \cfrac{ -1 }{ 2 } \implies - \cfrac{ 1 }{ 2 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{- \cfrac{ 1 }{ 2 }}(x-\stackrel{x_1}{2}) \\\\\\ y-7=- \cfrac{ 1 }{ 2 }x+1\implies {\Large \begin{array}{llll} y=- \cfrac{ 1 }{ 2 }x+8 \end{array}}[/tex]

Find the slope of the line passing through each of the following pairs of points. (–7, 1) (7, 8)

Answers

Use the equation Y2 - Y1/ X2- X1 = 7/14.

Answer:

1/2

Step-by-step explanation:

Slope(m)

= (y2 - y1)/(x2 - x1)

= (8 - 1)/(7+7)

= 7/14

= 1/2

Draw a number line to show 2/8 and 4/16 are equivalent.

Answers

Step-by-step explanation:

think of it as a ruler the small dashes represents the 16ths and the big dashes represents the 4ths. They are on the same line therefore they are equal.

The sum of the age of a girl and her brother is 34. The girl is 8 years older than her heather, how old is her brother​

Answers

Answer:

26

Step-by-step explanation:

if she is 8 years older, then is just 34-8 which is 26

4
On Monday Selma has £202.69 in her bank account.
Selma needs to pay a bill of £465.20 from the account on Wednesday.
She will pay some money into the account on Tuesday so that there is

enough money in the account to pay the bill
£10 left in the account after the bill has been paid.
No other payments occur.
How much money does Selma pay into the account on Tuesday?

Answers

Answer:

Answer: £272.51

Step-by-step explanation:

First, we need to determine how much money Selma needs to have in her account in order to pay the bill and still have £10 left over. The bill is for £465.20, so Selma needs to have £475.20 in her account in order to pay it.

Next, we need to determine how much money Selma needs to pay into her account in order to reach this total. She starts with £202.69 on Monday, so she needs to pay £475.20 - £202.69 = £<<475.20-202.69=272.51>>272.51 into her account on Tuesday. Answer: £272.51

Maria Brought 3 cakes of the same size for her birthday. half of one cake was left and one-third of qther. how much cake was left over altogether?​

Answers

Answer:

7/12 (seven over twelve)

Step-by-step explanation:

1/3 -1/4 =4/12- 3/12=1/12

1/2+1/12=6/12+1/12=7/12

so the answer is 7/12

hopefully this helps

Select three correct interpretations about the graph of r(t).
T
A. The average mortgage rate increased continuously
between 2003 and 2005.
B. The average mortgage rate fell to a relative minimum
between 2002 and 2003.
C. Based on the y-intercept, the average mortgage rate in
2010 was about 7.7%.
X
D. Based on the absolute maximum, the average
mortgage rate was highest between 2006 and 2007.
E. An appropriate domain for this function is 0≤t≤10

Answers

Answer: The correct interpretations about the graph of r(t) are B, D, and E.

Interpretation B is correct because the graph shows that the average mortgage rate fell to a relative minimum between 2002 and 2003.

Interpretation D is correct because the graph shows that the average mortgage rate was highest between 2006 and 2007, based on the absolute maximum.

Interpretation E is correct because an appropriate domain for this function would be 0≤t≤10, as t represents time and the graph shows data for the period between 2002 and 2010.

Interpretation A is not correct because the graph does not show that the average mortgage rate increased continuously between 2003 and 2005.

Interpretation C is not correct because the y-intercept does not represent the average mortgage rate in 2010. The y-intercept represents the value of the function when t = 0, which does not correspond to any time in the given data.

Step-by-step explanation:

A triangle has sides with lengths 8, 15, and 17. approximate the acute angles in this triangle to the nearest degree and list in ascending order

Answers

Answer:

28°, 62°

Step-by-step explanation:

As 8,15,17 is a Pythagorean Triple, the triangle must be a right triangle. Hence, we can use our common trig ratios to solve the problem. Let's assume our right triangle has a base of 8, a height of 15, and a hypotenuse of 17.

Here are all the acute angles in order:

[tex]\cos^{-1}(\frac{15}{17})\approx28^\circ[/tex]

[tex]\sin^{-1}(\frac{15}{17})\approx62^\circ[/tex]

The volume of this sphere is 4500m³.
Find the length of the radius, r.

Answers

Answer:

[tex]r=\frac{15\sqrt[3]{\pi ^2} }{\pi }[/tex]  meters

[tex]r=10.24[/tex]  meters

Step-by-step explanation:

Here is the equation for the volume of a sphere

[tex]V=\frac{4}{3} \pi r^{3}[/tex]

Lets solve for [tex]r[/tex].

Multiply both sides of the equation by [tex]\frac{1}{\frac{4}{3}\pi}[/tex].

[tex]\frac{1}{\frac{4}{3}\pi}(\frac{4}{3}*(\pi r^3))=\frac{1}{\frac{4}{3}\pi}V[/tex]

Simplify the left side.

Combine [tex]\frac{4}{3}[/tex] and [tex]\pi[/tex].

[tex]\frac{1}{\frac{4\pi }{3}}(\frac{4}{3}*(\pi r^3))=\frac{1}{\frac{4}{3}\pi}V[/tex]

Multiply the numerator by the reciprocal of the denominator.

[tex]\frac{3}{4\pi } (\frac{4}{3}*(\pi r^3))=\frac{1}{\frac{4}{3}\pi}V[/tex]

Cancel the common factor of [tex]\pi[/tex] by factoring it out of the first term.

[tex]\frac{3}{4} (\frac{4}{3}*r^3)=\frac{1}{\frac{4}{3}\pi}V[/tex]

Combine [tex]\frac{4}{3}[/tex] and [tex]r^3[/tex].

[tex]\frac{3}{4}*\frac{4r^3}{3}=\frac{1}{\frac{4}{3}\pi}V[/tex]

Multiply the numerators on the left side of the equation. Then multiply the denominators.

[tex]\frac{12r^3}{4*3}=\frac{1}{\frac{4}{3}\pi}V[/tex]

[tex]\frac{12r^3}{12}=\frac{1}{\frac{4}{3}\pi}V[/tex]

Cancel the common factor of 12.

[tex]r^3=\frac{1}{\frac{4}{3}\pi}V[/tex]

Simplify the right side.

Combine [tex]\frac{4}{3}[/tex] and [tex]\pi[/tex].

[tex]r^3=\frac{1}{\frac{4\pi }{3}}V[/tex]

Multiply the numerator by the reciprocal of the denominator.

[tex]r^3=\frac{3V}{4\pi }[/tex]

Take the cube root of both sides of the equation to eliminate the exponent on the left side.

[tex]r=\sqrt[3]{\frac{3V}{4\pi } }[/tex]

Now we have an equation to find the radius.

Substituting our number for volume gives us

[tex]r=\sqrt[3]{\frac{3*4500}{4\pi } }[/tex]

Enter this into a calculator

[tex]\sqrt[3]{\frac{3*4500}{4\pi } }[/tex]

You can leave the answer in simplest radical form or as a decimal.

[tex]r=\frac{15\sqrt[3]{\pi ^2} }{\pi }[/tex]

[tex]r=10.24[/tex]

A rating/review would be much appreciated. Hope this helps!

Tara is painting her room she brought paint that takes 3 gallons to cover an area of 75 square feet how many gallons of paint will tara need to paint 375 square feet of her room

Answers

Tara will need gallons of paint

PLEASE HELP

All numbers less than 17 and greater than or equal to -8

Answers

Answer: C

Step-by-step explanation: it says that it's smaller or equal to x and x is smaller than 17

Answer: 17>n ≥-8

1. All number less than 17 can write as n< 17

2. All numbers greater than or equal to -8 can written as n ≥ -8.

3. Flip n<17 so n can be in the middle of the inequality.

4. Combined it would be 17>n ≥-8

What is the equation of the line that passes through the point (-4,-4) and has a
slope of -3/4?

Answers

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{3}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- \cfrac{3}{4}}(x-\stackrel{x_1}{(-4)}) \implies y +4= -\cfrac{3}{4} (x +4) \\\\\\ y+4=-\cfrac{3}{4}x-3\implies {\Large \begin{array}{llll} y=-\cfrac{3}{4}x-7 \end{array}}[/tex]

Answer:

y = -3/4x - 7

Step-by-step explanation:

Given: slope = m = -3/4

Plug this value into the standard slope-intercept equation of y = mx + b.

y = -3/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, point (-4, -4). Plug in the x and y values into the x and y of the standard equation.

-4 = -3/4(-4) + b

To find b, multiply the slope and the input of x(-4)

-4 = 3 + b

Now, subtract 3 from both sides to isolate b.

-7 = b

Plug this into your standard equation.

y = -3/4x - 7

This is your equation.

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The table, the equation, and the graph show the rates at which three different students read in words per
minute. Which student reads faster?

Answers

The student that has the highest reading rate is Student C who has the highest rate of change of the number of words read of 158 words per minute.

What is the rate of change of a function?

The rate of change of a function is the rate at which the output value changes per unit change in the input value.

The possible data and table obtained from a similar question on the website are presented as follows;

Student A

Number of minutes;         [tex]{}[/tex]1              2             3              4

Number of words read; 150        [tex]{}[/tex]300          450          600

Student B

y = 158·x

Where;

x = The time duration in minutes

y = The number of words read by the student

Student C

The points on the graph representing the reading rate of student C are; (2, 280), (3, 420), (5, 700)

The first difference of the number of words read by Student 1 is constant, indicating that the relationship is a linear relationship, with the reading rate obtained by the rate of change of the number of words read as follows;

Reading rate for Student A = (300 - 150)/(2 - 1) = 150

The reading rate for Student A is 150 words per minute

The equation for the reading rate of Student B; y = 158·x, indicates that Student B reads 158 words per minute

The of the straight ling graph for the reading rate of Student C is found as follows;

Slope = (420 - 280)/(3 - 2) = 140

The slope indicates that the number of words read by Student C increases by 140 words every minute, therefore, the reading rate for Student C is 140 words per minute

The student that reads fastest is therefore, Student C who has a reading reading rate of 158 words per minute

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What’s the answer ?
Solve |2x - 3| ≥7

Answers

Answer:

x ≤ −2 or x ≥ 5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

PLEASE HELP FRACTION S EASY!! A construction worker is making concrete by mixing sand, gravel, and cement in water. For each pound of sand, he uses pounds of gravel. For each pound of gravel, he uses pound of cement. He is making enough concrete that he needs to use 3 pounds of sand.
How many pounds of cement does he use?

Answers

The pound of cement used based on the information will be C. 2 pounds.

How to illustrate the fraction?

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

In this case, for each pound of sand, he uses 1 2/3 pounds of gravel and for each pound of gravel, he uses 2/5 pound of cement.

The pound of cement used will be:

Gravel = 1 2/3 × 3

= 5 pounds

Cement used will be:

= 2/5 × 5.

= 2 pounds.

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Mary bought 5 pounds of grapes for $19. Mark bought 4 pounds of grapes for $16. Complete the statement comparing Mary's unit rate with Mark's unit rate.

Answers

Mary paid $3.80 per pound and Mark paid $4.00 per pound.

19 ÷ 5 = 3.80

16 ÷ 4 = 4

Mary's unit rate is less than Mark's unit rate.

How to calculate expression?

To compare the unit rate of Mary and Mark, we need to find how much each of them paid per pound of grapes.

Mary paid $19 for 5 pounds of grapes, so her unit rate can be calculated as:

The unit rate of Mary = Total cost of grapes / Total amount of grapes purchased

= $19 / 5 pounds

= $3.80 per pound

Mark paid $16 for 4 pounds of grapes, so his unit rate can be calculated as:

The unit rate of Mark = Total cost of grapes / Total amount of grapes purchased

= $16 / 4 pounds

= $4.00 per pound

Comparing the unit rate of Mary and Mark, we can see that Mary paid less per pound of grapes than Mark did.

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In an experiment, potassium chlorate decomposed according to the following chemical equation. 2 KClO3 2 KCl + 3 O2 If the mass of potassium chlorate was 240 grams, what is the mass of oxygen gas formed? Answer Choices: A) 94. 03g B) 1378g C) 41. 8g D) 612. 5g The character is portrayed as * (A) self-centered and vain. (B) sentimental and nostalgic. (C) credulous and fervent. (D) desperate and lonely. (E) manipulative and selfish. Which of the following is usually seen as the most dominant and memorable section of a pop/rock song David went shopping for a new phone because of a sale. The price on the tag was $46, but David paid $39. 10 before tax. Find the percent discount What are the bad things about automation? How would you describe the concept of scarcity ? Help aspp please thank you show ur work if you like Solve x=[tex]\sqrt{x} b^2-4ac\frac{x}{y} 2a[/tex] What happens when the narrator has to pay the bill at the eating house? The narrator gives him the worthless bank note and leaves. The landlord sees the bank note and begs him to keep eating at his establishment. The landlord doesn't believe the narrator when he shows him the bank note, and so he throws him out. The landlord is shocked at the note and lets the man forgo paying the bill because the landlord cannot make change How far do you have to move the moon so the force of gravity on it doubles? Solve the equation t 3 = 17 for t. 20 20 14 14I already searched the question and none of the answers I saw were an option. 7QUICK CHECKPredicting SpontaneityIdentify each of these reactions as being spontaneous or nonspontaneous.2CH(g)+50(g) 4CO(g)+2HO(g)AG-2,453.1 kJ3H(g)+N(g) 2NH(g)CO(g) +2HO(g) CH(g) +20(g)DONEAG=-33.3 kJAG=800.7 kJ What are the 4 types of lakes? How easy do you think it is to change an areas climate? Explain your reasoning in at least 3 sentences. What is the relationship between film and Theatre? Find the limits given based on the graph. Within the context of the culture of poverty, which of the following most clearly describes why individuals who are part of this culture become trapped in a downward economic spiral ?A) Unemployment causes poverty; a lack of willpower and motivation can, in turn, cause unemployment in people who do not have a strong work ethic.B) Individuals lack the finances to pay rent, so they eventually do not have an address to use in filling out job applications.C) Characteristics of poverty (joblessness and lack of financial independence) can, in turn, contribute to attributes (feelings of powerlessness and low self-esteem) that sustain poverty.D) Poverty is passed on from generation to generation; individuals learn at an early age that there is no way to escape living in poverty. Name at least two details that show the narrator's social class in the great gasby Which of the following is NOT an assumption of the economic order quantity model shown below?Select one:a. The only variable costs are setup cost and holding (or carrying) cost.b. Quantity discounts are not possible.c. Production and use can occur simultaneously.d. Demand is known, constant, and independent.e. Lead time is known and constant. If jimmy buys 5 apples and gets eaten alive by ___ How many apples does he have left?