Mariana can make groups of 3, 4, or 9 pumpkins with none left over. What is the smallest number of pumpkins she must have to make these groups?

*

1 point

1

9

12

36

PLS HELP ASAP I NEED TO SHOW WORK

Answers

Answer 1

As per the concept of LCM, the smallest number of pumpkins she must have to make these groups is 36

LCM

LCM is also known as the Lowest Common Multiple (LCM) and Least Common Divisor (LCD).

For example two integers a and b, denoted

LCM (a , b),

Here the LCM is the smallest positive integer that is evenly divisible by both a and b.

Given,

Mariana can make groups of 3, 4, or 9 pumpkins with none left over

Here we need o find the smallest number of pumpkins she must have to make these groups.

Here we have the number of pumpkins as 3, 4, and 9.

Now, we have to find the LCM of these number.

Find and list multiples of each number until the first common multiple is found.

This is the lowest common multiple.

Multiples of 3:

3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42

Multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44

Multiples of 9:

9, 18, 27, 36, 45, 54

Here the common multiple of the number 3,4, and 9 is 36.

Therefore, LCM(3, 4, 9) = 36

So, 36 is the smallest number of pumpkins she must have to make these groups.

To know more about LCM here.

https://brainly.com/question/20739723

#SPJ1


Related Questions

Drag the ordered pairs to match the points shown on the coordinate grid. A coordinate plane has an x-axis from 0 to 9 in increments of 1 and a y-axis from 0 to 9 in increments of 1. Point A is plotted 3 units to the right and 6 units above the origin. Point B is plotted 2 units to the right and 3 units above the origin. Point C is plotted 4 units to the right and 2 units above the origin. Point D is plotted 6 units to the right of the origin. (6, 0)(3, 6)(4, 2)(2, 3) Point Coordinates A B C D

Answers

Answer:

the answer is 3,6 6,0 2,3 4,2 that is the answer :)

Step-by-step explanation:

becuase that is the answer

Write the equation of the
line passing through (5,3)
that has a slope of 1/2.
A) Mrs. Reynolds y = 1/2x + 1/2
B) Mr. Preston y = 1/2x + 5/2
C) Coach Taylor y = -1/2x + 11/2
D) Ms. Greene y = 1/2x + 2
E) Mr. Moulden y = -2x + 13

Answers

Answer:  The correct answer is A) Mrs. Reynolds y = 1/2x + 1/2

Step-by-step explanation:

In the slope-intercept form of y=mx+b, m=the slope of the line

Therefore, y=1/2x + 1/2 has a slope of 1/2

As noted in the graph below, it is the only option listed that also intersects the point (5,3).

how much will $2000 grow at 8% p.a. compound interest after 4 years?

Answers

Answer:

$1,480.24

Step-by-step explanation:

An investment of $1,000 made today will be worth $1,480.24 in five years at interest rate of 8% compounded semi-annually.

Somone please explain how to answer these two questions!

Answers

Answer:

b and c

Step-by-step explanation:

Like terms are numbers that have the same variable and/or exponent. You can combine them to simplify equations.

3x+2x+3y-7y=5x-4y

3x and 2x are like terms because they share a variable of x. You can add them which gives you 5x. 3y and -7y are also like terms so they can be combined to make -4y.

2x+1+7x=9x+1

2x and 7x are like terms so they can be added for a sum of 9x.

For #9 they want you to add like terms which means you add 3x+2x together and then 3y-7y together. They’re like terms because they have the same variable(letter) so the answer would be C. 5x-4y
In #10 they’re looking for the same thing that you add the like terms (2x+7x) to simplify the equation which makes the answer C. 9x+1

There are 3 black markers in a bin. Given the probability that a marker selected at random is black, how many markers are in the box? (use only the digits 0 - 9 to write the value. ).

Answers

There are total 18 markers in the box.

What is a expression? What is a mathematical equation? What is Probability?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The formula to calculate the probability of occurrence of an event 'A' can be written as -  

P(A) = n(A)/n(S)

where -

n(A) = Number of outcomes favorable to event A.

n(S) = Total number of outcomes

Given is that there are 3 black markers in a bin. The probability that a marker selected at random is black is -

P(black marker) = 1/6

Assume that there are [x] markers in the box. Then, we can write -

P(black marker) = 3/x

1/6 = 3/x

x = 18

Therefore, there are total 18 markers in the box.

To solve more questions on Probability, visit the link below -

brainly.com/question/24028840

#SPJ1

Find the constant rate of change and interpret its meaning a complete sentence. 

Answers

The constant rate of change of the altitude of the Hawk is -10 ft/s. The meaning of the -10 ft/s rate of change in altitude is the hawk is diving vertically down towards the prey with a speed of 10 feet per second

What is the rate of change of a function?

The average rate of change of a function is the rate at which the output values of the function changes with regards to the change in the argument of the function.

A function that has a constant rate of change is a linear function.

The rate of change of a linear function or equation that gives a straight-line graph is found from the slope, m, of the function.

The formula for the slope of a function, using the points (x₁, y₁), and (x₂, y₂), is presented as follows;

[tex]Slope, \, m = \dfrac{y_2-y_1}{x_2- x_1}[/tex]

The points on the graph are; (x₁, y₁) = (3, 60) and (x₂, y₂) = (6, 30)

Which gives;

[tex]Slope, \, m = \dfrac{30\, ft-60 \, ft}{6\, s- 3\, s} = -10 \, ft/s[/tex]

The constant rate of change of the the function in the graph is -10 feet per secondThe meaning of the constant rate of change of -10 feet per second is that the Hawk is diving towards the prey at a rate of decrease of altitude of 10 ft/s

Learn more about the rate of change of a function here:

https://brainly.com/question/14469078

#SPJ1

solve for x 48= x/2 Simplify your answer as much as possible.

Answers

x⁴⁸ = x/2

Multiply to remove the fraction, then set equal to

0

and solve.

Exact Form:

x

=

0

,

1

47

2

Decimal Form:

0,0.98536040

How much greater is the sum of the first 50 counting numbers greater than the sum of the first 100 counting numbers?.

Answers

The difference between the sum of the first 50 counting numbers and the sum of the first 100 counting numbers is 3775.

Here we have to find the difference between the first 50 counting numbers and first 100 counting numbers.

Formula to find the sum of the number n is:

[tex]S_{n}[/tex] = n/2( 2a + (n-1)d)

a = first number of the series

d = common difference

n = number of series

Sum of first 50 counting numbers:

[tex]S_{50}[/tex] = 50/2( 2× 1 + (50-1) 1)

    = 25 × 51

    = 1275

Sum of first 100 counting numbers:

[tex]S_{100}[/tex] = 100/2 ( 2×1 + (100- 1) 1)

      = 50 × 101

      = 5050

Now the difference between them:

[tex]S_{100}[/tex] - [tex]S_{50}[/tex] = 5050 - 1275

              = 3775

Therefore the difference is 3775.

To know more about the series refer to the link given below:

https://brainly.com/question/17036360

#SPJ4

What is the slope of a trend line that passes through the points (1, 3) and (10, 25)?
15
2
O
O
O
0
2
22
24

Answers

By using the concept of slope, it is obtained that

Slope of the required trend line is [tex]\frac{22}{9}[/tex]

What is slope of a line?

Slope of the line is the tangent of the angle that the line makes with the positive direction of x axis

If the angle is [tex]\theta[/tex], the slope of the line is given by

[tex]m = tan\theta[/tex]

If the line passes through ([tex]x_1, y_1[/tex]) and ([tex]x_2, y_2[/tex]), then the slope of the line is given by

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

The line passes through (1, 3) and (10, 25)

[tex]x_1 = 1, y_1 = 3, x_2 = 10, y_2 = 25[/tex]

Slope = [tex]\frac{y_2 - y_1}{x_2 - x_1}\\[/tex]

         =  [tex]\frac{25 - 3}{10 - 1}[/tex]

         = [tex]\frac{22}{9}[/tex]

Slope of the required trend line is [tex]\frac{22}{9}[/tex]

To learn more about slope of a line, refer to the link-

https://brainly.com/question/3493733

#SPJ4

geometry parallelogram prac.

Answers

Answer: Sir would you like me to give you an example to this or answers??

Step-by-step explanation:...

Xavier buys 18 bottles of orange juice at the corner store for a total cost of $14.04. If each bottle costs the same amount, how much is each bottle of juice?

Answers

The cost of each bottle of orange juice is 0.78 dollars.

How to find the cost of each bottle of orange juice?

Xavier buys 18 bottles of orange juice at the corner store for a total cost of $14.04. Each bottle costs the same amount.

Therefore, the cost of each bottle of orange juice can be found as follows:

cost of each bottle of orange juice = total cost of the whole orange juice / number of orange juice bought

cost of each bottle of orange juice = 14.04 / 18

Therefore,

cost of each bottle of orange juice = $ 0.78

learn more on cost here: https://brainly.com/question/17113911

#SPJ1

Melissa was able to do 25 sit ups in 30 seconds if she keeps at the same rate approximately how many set ups come out to complete is 150 seconds

Answers

Answer:

125

Step-by-step explanation:

150/30=5

25x5=25

What is the y-intercept of the line 6x – 9y = 18?

(0, -2)

(0, 3)

(3, 0)

(-2, 0)

Answers

Answer:

(0, -2)

Step-by-step explanation:

What is the y-intercept of the line 6x – 9y = 18?

(0, -2)

(0, 3)

(3, 0)

(-2, 0)

You need to solve for y:

6x – 9y = 18

6x – 9y  - 6x = 18 - 6x

– 9y = 18 - 6x

– 9y/-9 = 18/-9 - 6x/-9

y = - 2 + 2/3x

or:

y = 2/3x - 2

y-intercept is: (0 , -2)

Answer:

(0, - 2 )

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

6x - 9y = 18 ( subtract 6 from both sides )

- 9y = - 6x + 18 ( divide through by - 9 )

y = [tex]\frac{2}{3}[/tex] x - 2 ← in slope- intercept form

with y- intercept c = - 2 , that is (0, - 2 ) in coordinate form

Denity i meaured in unit of ma per unit of volume. It can be thought of a a unit rate. The ma off a block of aluminum i 9. 45 gram. The volume i 3. 5 cubic centimeter. What i the denity of the aluminum?

Answers

The density of the metal will be 2700 kilograms per cubic meter.

The quantity of molecules in a given volume is referred to as density. Kg/m2 is the unit of measurement for density. density is a scalar quantity. Higher densities result in more molecules being present in a given volume. After that, the density is given as,

Volume / Mass equals density.

A chunk of metal weighs 9.45 grams. 3.5 cubic centimeters of volume.

The density of the aluminum is then specified as,

D = 9.45 / 3.5

In grams per cubic centimeter, D = 2.7.

2700 kilograms per cubic meter is the same as D.

The density of the aluminum will be 2700 kilograms per cubic meter.

Learn more about density at

https://brainly.com/question/19119622

#SPJ4

A parabola can be drawn given a focu of (−3,−3) and a directrix of x=5. Write the equation of the parabola in any form

Answers

The equation of the parabola is x = -1/16([tex]y^{2}[/tex]+6y-7).

According to the question,

We have the following information:

A parabola can be drawn given a focus of (−3,−3) and a directrix of x=5.

Now, let's take (x,y) to be the points of parabola.

So, we have the following expression:

Distance between (-3,-3) and (x,y) = Distance between (x,y) and x = 5

Distance between (x,y) and x = 5 will be Ix-5I

Now, we will use distance formula to solve this expression further.

[tex]\sqrt{(y+3)^{2}+ (x+3)^{2} }= (x-5)} }[/tex]

Squaring on both sides of the equation:

[tex]{(y+3)^{2}+ (x+3)^{2} }= (x-5)^2} }[/tex]

[tex]y^{2}[/tex]+9+6y+[tex]x^{2}[/tex]+9+6x = [tex]x^{2}[/tex]+25-10x

[tex]y^{2}[/tex]+6y+6x+18-25+10x = 0

[tex]y^{2}[/tex]+6y+16x-7 = 0

16x = [tex]-(y^{2}[/tex]+6y-7)

x = -1/16([tex]y^{2}[/tex]+6y-7)

Hence, the equation of the parabola is x = -1/16([tex]y^{2}[/tex]+6y-7).

To know more about equation of the parabola here

https://brainly.com/question/4074088

#SPJ4

a box contains 12 batteries of which 6 are still working. anne starts picking batteries one at a time from the box and testing them. find the probability that she has to pick 5 batteries in order to find one that works.

Answers

The probability that she has to pick 5 batteries in order to find one that works is 5/12.

What is probability?

Probability shows the likelihood of an event happening.  it can be calculated by dividing the number of outcomes of an event by the total number of possible outcomes or sample space. Probability is equal to '1' when the event is certain to occur. i.e P =1. It is less than '1' when it is not likely to occur. i.e P< 1

Probability P=no. outcomes/total no. of the possible outcomes

From the question;

No of out comes=5

No. of total possible outcome=12

Therefore probability P= 5/12

                                   P=5/12

Learn more about probability on

brainly.com/question/17084679

#SPJ1

Find the perimeter and area of the triangle.
The perimeter = yds. The area = yd2

Answers

Step-by-step explanation:

perimeter:

74 + 74 + 48 = 196 yd

area:

48/2=24

√74^2+√24^2 = 77.79 (2dp)

77.79 x 48 = 3734.14

3734.14/2=1867.07yd^2

Q.57 help me please please pleaseeee

Answers

The value of the expression are as follows

30-218

How to solve an expression?

An algebraic expression consists of unknown variables, numbers and arithmetic operators.  It does not contain any equality or inequality symbols.

Let's solve the expression by substituting the actual values of the variables.

a.

5x when x = 6

5x = 5(6) = 30

b.

3y when y = -7

3y = 3(-7) = -21

c.

10z when z = 0.8

10z = 10(0.8) = 8

learn more on values here:https://brainly.com/question/11889003

#SPJ1

Tom bought 3 T-shirts at a sale price of $14.50. If he saved up $2.47 because of the sale, what would be the percentage of the money he saved?

Answers

Tom saved 14.55% money in this sale.

Given that the sale price of 3 T shirts is $14.50.

And Tom saved in this sale $2.47.

So original selling price of that 3 T shirts is = 14.50+2.47 = 16.97

So the percentage of savings = (2.47/16.97)*100% = 14.55% (approximately)

Hence he saved approximately 14.55% in this sale.

To know more about Selling Price refer to:

https://brainly.com/question/1153322

#SPJ1

EX1. Prints It charges $2.25 per box of business
cards plus a $11.25 shipping cost. We Print it
Better charges $3.50 per box but has free
shipping. How many boxes would you have to
order for the price for both printing companies
to be the same?

Answers

Answer:

[tex]5x {}^{2} - 5y { = }0 [/tex]

Select the number that would make this statement true: 542.9 ÷ ________ = 5.429

Answers

Answer:

The correct answer would be 100.

Step-by-step explanation:

542.9 divided by 5.429, would be 100.

Therefore, the correct answer is 100.

Answer:

100

Step-by-step explanation:

[tex]\frac{542.9}{5.429}[/tex] = 100

Check

[tex]\frac{542.9}{100}[/tex] =

What is the 41st term of the sequence 8, 10, 12, 14,... ?
88
41
322
90

Answers

Answer:

Step-by-step explanation:

We will find the 41st term of the given arithmetic sequence is equal to 88.

Bro this is so weird. If Jayden has 19 dollars and idek

Answers

Answer:

if i have 19

Step-by-step explanation:

what is Segment Addition Postulate

Answers

The segment addition postulate states that if we are given two points on a line segment, A and C, a third point B lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC. See Diagram 1 to gain a clearer understanding of this postulate definition.

Remember that a line segment is part of a line bound by two clear end points. It is comprised of a bunch of points between those two end points.

An easier way of stating the segment addition postulate is that if point B lies on line segment AC, then AB + BC will equal AC. That seems pretty simple, does it not?

Three of five baseketball players scored more than 10 points. What percent of the players scored more than 10 points?

Answers

60 percent of the players scored more than 10 points if three of the five basketball players scored more than 10 points.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Three of the five basketball players scored more than 10 points.

Total number of basketball players = 5

The number of players who scored more than 10 points = 3

In fraction:

= 3/5

= 0.6

To convert the above fraction into the percentage multiply it by 100:

= 0.6x100

The percent of the players scored more than 10 points = 60%

Thus, 60 percent of the players scored more than 10 points if three of the five basketball players scored more than 10 points.

To Learn more about the percentage form the link:

brainly.com/question/8011401

#SPJ1

The graph of y = x2 + 11x + 24 is equivalent to the graph of which equation?

y = (x + 8)(x + 3)
y = (x + 4)(x + 6)
y = (x + 9)(x + 2)
y = (x + 7)(x + 4)

Answers

Ax^2 +Bx + C

x^2 +11x +24

Using the number in place of C gives us what values could be inside the brackets.

For 24 the multiples are

1 and 24

2 and 12

3 and 8

4 and 6

We want the one that can add or subtract to give the number in place of B, which is 11.

The only multiples that add to 11 are 3 and 8

Therefore we know that 8 and 3 need to be in the brackets.

Giving us (x+8)(x+3)

if measurements are made on four different days, find the level such that there is probability only 0.02 that the mean glucose level of four test results falls above for shelia's glucose level distribution. what is the value of ?

Answers

For the value of L = 144.48, the probability of having L greater than the mean glucose level of Shelia is 0.02.

Here it is given that Sheila's glucose level follows a normal distribution with a mean of 128 mg/dl and a standard deviation of 8 mg/dl

L is the patient's blood test level.

It is given that the probability that the mean glucose level i.e 128 mg/dl is above L is 0.02.

We need to find L

We know

P(128>L) = 0.02

or, 1 - P(128 ≤ L) = 0.02

or, P(128 ≤ L) = 0.98

We know that for any Normal distribution we find the probability by converting it to standard form and then checking the p-value.

P(X < x) = Φ[(x - μ)/σ]

where,

μ = mean

σ = standard deviation

Therefore,

Φ[(L - 128)/8] = 0.98

we see that for a Z score of 2.06,

Therefore we get

(L - 128)/8 = 2.06

or, L - 128 = 16.48

or, L = 128 + 16.48

= 144.48

Therefore, the value of L would be 144.48

To know more about Normal distribution visit

brainly.com/question/12844710

Complete Question

Shelia's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if the glucose level is above 140 milligrams per deciliter one hour after a sugary drink is ingested. Shelia's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with a mean of 128 mg/dl and a standard deviation of 8 mg/dl. Let L denote a patient's glucose level.

If measurements are made on four different days, find level L such that there is a probability of only 0.02 that the mean glucose level of four test results falls above L for Shelia's glucose level distribution. What is the value of L?

#SPJ4

A printing error in a math book removed the bracket and parenthee from a numerical expreion rewrit experion 3 to the econd power plu even time four plu five

Answers

Rewriting the expression with bracket and parentheses in numerical expression is: [(3^2 + 7) * 4] + 5.

In numerical expression, the brackets and parentheses are mathematical symbols that are used in pairing the group things together or specify the order of operations. These are used in creating or solving equations, helping in grouping numbers and defining the order of operations.  Parentheses are curved ( ), brackets are square [ ], and braces are curly { }. In indicating the order of operations, the innermost parentheses are calculated first, followed by the brackets (which form the next layer), followed by braces (which form a third layer outwards).

The given expression written with parentheses and brackets to be equivalent to 69 is:

[(3^2 + 7) * 4] + 5

[(9 + 7) * 4] + 5

[16 * 4] + 5

64 + 5

69

Note: The question is incomplete: The complete question is A printing error in a math book removed the brackets and parentheses from a numerical expression. Rewrite the expression 32 + 7 x 4 + 5 with parentheses so that it is equivalent to 69.

Learn more about Order of operations:

https://brainly.com/question/15266279

#SPJ4

A circular arc has measure and is intercepted by a central angle of radians. Find the radius of the circle. Do not round any intermediate computations, and round your answer to the nearest tenth.

Answers

A circular arc has measure and is intercepted by a central angle of radians.

The radius (r) of circle is 1.91 m

Here given data :

• circular arc (s)  = 5 cm

• Angel  (A)  = 5π/6

We know that the following formula is,

        Length arc  = radius  × angel  

      =>   Radius (r) =  Length / angel

      =>   Radius (r) =  5 m / (5π /6)

        =>   Radius (r) = ( 5 × 6 / 5π ) m

        =>  Radius  (r) =   6/π m

        =>  Radius  (r) =   1.91 m

Therefore, radius of the circle is 1.91 m.

To Learn about more Radius https://brainly.com/question/24375372

#SPJ4

What is the absolute value of a BI?.

Answers

The distance between the complex plane's origin (0, 0) and the point (a, b) is what is known as the absolute value of a complex number, a+bi (also known as the modulus).

What is absolute value?

Without taking into account direction, absolute value defines how far a number is from zero on the number line. A number's absolute value can never be negative. Look at some illustrations. 5 is the sum of its absolute values. There are 5 units between 5 and 0. A number's absolute value is determined by how far it is from zero on the number line. For instance, the absolute value of -7 would be 7, as it is 7 units away from zero. Additionally, since 0 is 7 units distant, the value of 7 would likewise be 7.

To know more about absolute value,

https://brainly.com/question/1301718

#SPJ4

Other Questions
if a firm is earning positive economic profit, it must be the case that:if a firm is earning positive economic profit, it must be the case that: if a consumer borrows at an interest rate greater than the interest rate at which he or she can lend, then group of answer choices this makes no difference for consumer behavior. the consumer must be a lender. banks cannot make a profit. the budget constraint has a kink at the endowment point. suppose you need to make 400 ml of a solution with a ph of 14 at 298 what mass of sr(oh)2 should you add to a 400 ml volumetric flask I need help please so I'm supposed to find x but when I find it I have to put in in the problem and then it has to equal 25 or might just be wrong overall I don't know due now pls help me :P the nurse is caring for a patient the first postoperative day following a laparotomy for a small bowel obstruction. the nurse notices new bright-red drainage about 5 cm in diameter on the dressing. which action should the nurse take first? In which country would you find the iphone supplier currently locked down due to a covid-19 outbreak?. A patient is taking hydrochlorothiazide and digoxin. The nurse is concerned that the patient may develope which potential electrolyte imbalance?. help please this is due on friday the equilibrium rent on office space has just increased by $500/month. determine the effects on accounting profit and economic profit if you rent your office space 11. The greenhouse effect is what allows structures like greenhouses to be much warmer than they otherwise would be by capturing sunlight, and not allowing it toescape. A similar effect is happening to our planet because carbon dioxide is trapping the sun's heat close to the earth. Carbon dioxide is a byproduct of burningfossil fuels. If we burn less fossil fuels in the future, what will be the most likely effect on carbon dioxide levels?O A. Stay the sameOB. IncreaseO C. Will fluctuate between increasing and decreasingOD. Decrease an armstrong number is an n-digit number that is equal to the sum of the nth powers of its digits. determine if the input numbers are armstrong numbers. Which justices voted for the majority in Miranda v Arizona? true or false: in examining the baroque movement we can see how the baroque style in the dutch netherlands was exactly the same as the characteristic of the baroque style in france, spain and italy. Data is collected about the number of wins and losses by a random sample of teamswith an animal mascot and those with another kind of mascot. The column relativefrequencies are shown in the table. Based on the information in the table, is there anassociation between the variables? Explain your reasoning.winslossesanimal mascot74%26%other type of mascot49%51% Valley spa purchased $7,800 in plumbing components from tubman company. Valley spa signed a 60-day, 10% promissory note for $7,800. If the note is dishonored, what is the amount due on the note? (use 360 days a year. ). Sally is making necklaces and bracelets for the craft fair. a necklace uses 16 beads, and a bracelet uses 27 beads. sally wants to make twice as many bracelets as necklaces, and she wants to use up all of her 910 beads. how many of each should she make? What is the molar ratio of acid to base for the neutralization reaction between hcl and naoh?. What is short term production planning?. determine whether or not the distribution is a discrete probability distribution and select the reason why or why not.