at the valentines day dance the sponsors handed out candy kisses to each person entering the dance. one group received a total of 20 candy kisses as they entered. another group of dancers received a total of 52 candy kisses. each person received the same amount of candy. what was the greatest possible number of candy kisses each person could have received

Answers

Answer 1

the maximum number of candy kisses that each person could have received is 4.

What was the greatest possible number of candy kisses each person could have received?

We know that each person receives the same number of candy.

Now, one group of K people receives 20 candy.Another group of N people receives 52 candy.

Then the quotients between the number of candy and the number of people should give the same value:

20/K = 52/N

Let's find the common factors between 20 and 52, to do so, we need to rewrite the two numbers as a product of prime factors:

20 = 2*10 = 2*2*5

52 = 2*26 = 2*2*13

The greatest common factor between 20 and 52 is (2*2) = 4

Then, if each person receives 4 candy:

The group that receives 20 candy:

20/K = 4

20/4 = k = 5

That group has 5 people.

The group that receives 52 candy:

52/N = 4

52/4 = N = 13

This group has 13 people.

Then the maximum number of candy kisses that each person could have received is 4.

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Related Questions

describe a real-life situation that could be represented by the expression 3+2x6​

Answers

Answer:

"Margaret is at a birthday store. She wants to buy 3 candles and 2 balloons. She then realizes that she wants to throw an even bigger surprise party, so she buys 6 fold of her original items. How many candles and balloons did she buy in split amounts?"

SOMEBODY PLEASE HELP HOLY SH1T WHAT DO I CIRLCE

Answers

Answer:

1. p, 7p, -4p, and 5p

2.2uv to the second power, and uv to the second power

Step-by-step explanation:

If f(x) = 4x - 3 and g(x) = x + 4, find (f- g)(x).

Answers

Answer:

(f-g)=3x-7

Step-by-step explanation:

First find f-g

4x-3 - x+4

This becomes 3x-7

Give the number of terms in the algebraic expression and also give the numerical coefficient of the second term.
-3 a + 30b

Answers

Answer:

2 termssecond coefficient: 30

Step-by-step explanation:

You want the number of terms and the second coefficient in the expression ...

  -3a +30b

Terms

In a simplified polynomial expressed as a sum of products, each of the products is a "term." This expression has two terms:

-3a30b

The sign separating terms in the sum is generally considered to be part of the following term. If this were written 30b -3a, one of the terms would still be -3a.

Coefficient

If each variable value is set to 1 in a term of a polynomial expression, the resulting value is the coefficient of that term. In general, this will be the numerical multiplier of the variables.

  30b = 30(1) = 30 . . . . . when b=1

The coefficient of the second term is 30.

find the distance between the points (5, 7) and (5, -3)

Answers

Answer:

The distance is 10

Step-by-step explanation:

2/5a - 3/4b =c solve for a

Answers

The equation (2/5)*a - (3/4)*b = c solved for the variable a is:

a = (5/2)*(c + (3/4)*b)

How to solve the equation for a?

Here we have the equation:

(2/5)*a - (3/4)*b = c

Where a, b, and c are variables.

Here we want to solve this equation for the variable a, this means that we need to isolate that variable in one side of the equation, so let's do that.

First, we need to remove the other term, then we can add its opposite in both sides of the equation so we get:

(2/5)*a - (3/4)*b + (3/4)*b = c + (3/4)*b

(2/5)*a = c + (3/4)*b

Now we need to remove the factor that multiplies the variable, we can do that by multiplying both sides of the equation by its inverse, whic is 5/2, if we do that we will get:

(5/2)*(2/5)*a = (5/2)*(c + (3/4)*b)

a = (5/2)*(c + (3/4)*b)

This is the equation solved for the variable a.

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Simplify the expression

Answers

Answer:

Step-by-step explanation:

Factor out 2 of 12: (2(6x)-6)/2

Factor out 2 of -6: (2(6x)+2*-3)/2

.......

Final = 6x-3

the line y = 3x + 4 and y = ax + 2 are parallel if a= ​

Answers

Answer:

a =3

Step-by-step explanation:

The number before the x is the slope.  Parallel lines have the same slope.

Answer:

Step-by-step explanation:

3x - 7x-16 = - 4x + 5 - 16

Answers

Answer:

no solution

Step-by-step explanation:

3x - 7x - 16 = -4x + 5 - 16

combine like terms

-4x - 16 = -4x - 11

move the terms with variables to one side and constants to the other

add 4x to move it

-4x + 4x = 0

-16 = - 11

this is not possible so there is no solution

Answer:

0=5

Step-by-step explanation:

3x - 7x - 4x + 5 - 16

-4x - 16 = -4x + 5 -16

-4x - 16 = -4x -11

-4x -16 + 16 = -4x - 11 + 16

-4x = -4x + 5

-4x + -4x = -4x + 5 + 4x

combine like terms

repeat that

0 = 5

please correct me if I'm wrong

can someone derive f(x) = x using first principles method. Like I know the answer is 1 and can do it by power rule but i cannot get that answer for the life of me using first principles method.

fyi first principles function is in the pic

Answers

The derivation by definition of f(x) = x, that is, f'(x) = 1, is found in this problem.

How to find the derivative of function f(x) by the definition?

The derivative is given by:

[tex]f^{\prime}(x) = \lim_{h \rightarrow 0} \frac{f(x + h) - f(x)}{h}[/tex]

For this problem, we have that:

f(x) = x.f(x + h) = x + h.

Hence:

[tex]f^{\prime}(x) = \lim_{h \rightarrow 0} \frac{x + h - x}{h}[/tex]

[tex]f^{\prime}(x) = \lim_{h \rightarrow 0} \frac{h}{h}[/tex]

[tex]f^{\prime}(x) = \lim_{h \rightarrow 0} 1[/tex]

The limit of a constant is the constant, hence f'(x) = 1.

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y = 6x – b

–3x + StartFraction one-half EndFractiony = –3

b =

2
4
6
8

Answers

the answer is 6. please mark brainliest

Huilan is 11 years younger than Thomas. The sum of their ages is 31. What is Thomas's age?
years old

Answers

Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Huilan: x-11

Thomas: x(Assume)

Their Sum = 31

Huilan+Thomas = 31 ...(1)

Possible Equation: x+x-11= 31 ...(2)

Solved:

2x-11= 31

2x = 31+11

x = 42/2

x = 21

Therefore, Thomas' Age is 21.

Write an algebraic expression for the length of QR​

Answers

The algebraic expression for the length of QR​ is 5y+20.

Given that The algebraic expression for the length of PR​ is  13y+25 , The algebraic expression for the length of PQ​ is 8y+5 and asked to find The algebraic expression for the length of QR​.

The algebraic expression for the length of PR​ is  13y+25

PR=PQ+QR

⇒The algebraic expression for the length of PR​ =The algebraic expression for the length of PQ + The algebraic expression for the length of QR

QR=PR-PQ

⇒The algebraic expression for the length of QR=The algebraic expression for the length of PR - The algebraic expression for the length of PQ

⇒The algebraic expression for the length of QR=13y+25 -  8y+5

⇒The algebraic expression for the length of QR=5y+20

Therefore,The algebraic expression for the length of QR​ is 5y+20.

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someone help me on this one

Answers

Answer:

I think the answer is B.

Step-by-step explanation:

Hope this helps!

Help?? I’ll give brainliest :)

Answers

Answer:

31) C, D, F
32) B
33) A, F
34) D, E
35) D

Step-by-step explanation:

Adjacent angles are angles that share the common vertex and side.
Vertical Angles are angles that are opposite of each other.
Complementary Angles are angles that equal to 90°
Supplementary Angles are angles that equal to 180°
A Linear Pair are 2 angles that make up a straight line.

You are trying to define your target market for a travel agency service. Identify the correct order of the market targeting steps: Select one: a. identify business needs, segment total market, profile target customer segment, research and validate marketing opportunity b. research and validate marketing opportunity, identify business needs, segment total market, profile target customer segment, research and validate marketing opportunity c. profile target customer segment, identify business needs, segment total market, research and validate marketing opportunity

Answers

Option c: The following should be followed to the target market for a travel agency service

profile target customer segment, identify business needs, total segment market, research and validate marketing opportunity.

What is Target marketing?

A target market is a group of people identified as the most likely potential customers for a product because of their shared characteristics such as age, income, and lifestyle. Identifying the target market is a vital part of the decision-making process when a company designs, packages, and advertises its product.

What Are the 4 Target Markets?

Marketing professionals divide consumers into four major segments:

Demographic: These are the main characteristics that define your target market. Everyone can be identified as belonging to a specific age group, income level, gender, occupation, and education level.

Geographic: This segment is increasingly relevant in the era of globalization. Regional preferences need to be taken into account.

Psychographic: This segment goes beyond the basics of demographics to consider lifestyle, attitudes, interests, and values.

Behavioral: This is the one segment that relies on research into the decisions of a company's current customers. New products may be introduced based on research into the proven appeal of past products.

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Given P||Q and T is a transversal, which of the
following justifies <1 = 25?
A Corresponding Angles Postulate
B. Alternate Interior Angles Theorem
c. Consecutive Interior Angles Theorem
D. Alternate Exterior Angles Theorem

Answers

If P||Q and T is a transversal, then ∠1=∠5 can be justified through Corresponding angle postulate. Thus, correct option is option A.

The Corresponding angle postulate states that if two lines are drawn on plane which are parallel to each other and dissected by a line passing through them at any angle then the corresponding angle of both the parallel lines will be equal to each other and hence would be congruent.

Here, P||Q and P and Q are dissected by the line T at some angle therefore to prove that ∠1=∠5 we go by the following steps:

∠4=∠5 as they are alternate interior angles.

and ∠1=∠4 as they are vertically opposite angles.

Thus, ∠1=∠5 and they are corresponding angles.

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Answer:A is the answer

Step-by-step explanation: I took the test and got it right!

Please explain Y is the midpoint of line segment XZ

Answers

Answer:

d

Step-by-step explanation:

(1,8) is the coordinates of midpoint so ×2 and - one of the x z is ok

1×2 -(-10) = 12

8×2-(-12) = 28

In a class of 25 students, 12 are boys. what part of class is boys? girls?

Answers

there are 12 boys and 13 girls.

What is the line called that intersects lines l and m in the picture above?
(Click document to see image.)

Answers

Answer: It's just a line

Step-by-step explanation:

help please the question is in the picture need done ASAP will give brainilist

Answers

For the given system of inequalities,  x represents the number of brownies and y the number of cookies.

And the graph can be seen in the image below.

What each variable represents?

Here we have the system of inequalities:

4x + 6y ≥ 200

x + y < 75.

We know that they want to make less than 75 items, that is what the second inequality:

x + y < 75.

Represents.

We also know that each brownie  costs $4, and each cookie costs $6, then the expression:

x*4 + y*6

Represents the revenue for selling x brownies and y cookies, and because they want to earn at least $200, the inequality becomes:

x*4 + y*6 ≥ 200

So we conclude that x represents the number of brownies and y the number of cookies.

Now the system is:

4x + 6y ≥ 200

x + y < 75.

To graph it, you just need to graph both the lines and shade the indicated region, we can write the inequalities sa:

y ≥ (200 - 4x)/6

y < 75 + x

Just graph these two lines, for the first one you need to use a solid line and shade the region above the line, for the second, a dashed line and you need to shade the region below the line. The graph can be seen below.

The solutions to the systems are in the region where both shaded parts intersect.

There we can see that the point x = 20 and y = 20 (among a lot of other ones) is a solution to the system.

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PLEASE HELP! What is 2 x 2!
I cannot figure this out!

Answers

Answer:

4

Step-by-step explanation:

2*2=4

Hope this helps!

:)

Answer: Monke.

Step-by-step explanation:

get good.

three times the number which is two less than x is nine

Answers

The expression of the mathematical statement is  3y - 2 + x = 9

How to determine the expression?

The mathematical statement is given as

Three times the number which is two less than x is nine

Let the number be y

So, we have

Three times y which is two less than x is nine

Express as an equation

Three times y which is two less than x = 9

Represent the statements as an expression

So, we have

3y - 2 + x = 9

Hence, the expression of the mathematical statement is  3y - 2 + x = 9

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Point F is on line segment EG. Given EG = 12 and FG = 8, determine the length
EF.

Answers

Given that Point F is on line segment EG, the Length of segment EF is 4.

What is the numerical length of segment EF?

A line segment is simply part of the line that connects 2 points.

Given the data in the question;

Point F is on line segment EGSegment EG = 12Segment FG = 8Length of segment EF

Since Point F is on line segment EG, length of segment EG equals the sum of length of segment EF and length of segment FG.

Length of segment EG = Length of segment EF + Length of segment FG

Hence;

12 = Length of segment EF + 8

Subtract 8 from both sides and simplify

12 - 8 = Length of segment EF + 8 - 8

12 - 8 = Length of segment EF

4 = Length of segment EF

Length of segment EF = 4

Given that Point F is on line segment EG, the Length of segment EF is 4.

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Find the number that makes the ratio equivalent to 4:1
8:

Answers

8:2

- - - - - - - - - - - - - - - - - - - - - - - -

Work below!

- - - - - - - - - - - - - - - - - - - - - - - -

This ratio is simply doubled. Here's how I did it:

8 / 4 = 2, so it's multiplied by 2.

1 x 2 = 2, therefore the answer is 8:2!

- - - - - - - - - - - - - - - - - - - - - - - -

Hope this helped! :)

(Please consider leaving a Brainliest!)

~pinetreee

PLSS HELP

Station G: Long Jump'
The track and field coach has to select a girl for the long jump at the regional championship. Three girls are in
contention. The results of a school jump-off, in meters, are given in the accompanying table


1. Who do you think should go to the championship? Write a letter to the coach with your decision and an
explanation of your reasoning.

Answers

Using the mean concept, it is found that due to the highest average, Priya should go to the championship.

What is the mean?

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

Each of the girls had 6 jumps, and their means all given as follows:

Elena: (3.25 + 3.95 + 4.28 + 2.95 + 3.66 + 3.81)/6 = 3.65.Jada: (3.55 + 3.88 + 3.61 + 3.97 + 3.75 + 3.59)/6 = 3.73.Priya: (3.67 + 3.78 + 3.92 + 3.62 + 3.85 + 3.73)/6 = 3.76.

Due to the highest average, Priya should go to the championship.

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in triangle jkl and triangle pqr

Answers

Answer: True!

Hope this helps!

Do the shapes with the same volume always have the same surface area?​

Answers

Answer:

No.

Step-by-step explanation:

They can't have the same surface area, because the surface area is a 2-dimensional measure of a 3-dimensional object(for the most part), while the volume is 3-dimensional, so they would not share the same surface area due to them being mostly different structures despite having the same amount of cubic units.

➲ Hope this helps. Address concerns if needed.

The length of a rectangle is 6 mi. less than 2 times the width. If the perimeter of the rectangle is 54 mi., find the length and the width.
(Hint - The perimeter of a rectangle is given by: P=2L+2W )

Answers

Answer: L= 16 mi., W= 11 mi.
54=2(2W-6)+2(W)
54=4W-12+2W
54=6W-12
66=6W
W= 11 mi.

L= (2(11)-6)
L= 16 mi.

Example 1 ans needed

Answers

We are given a linear function:

f(x) = 2 x + 3

We are also given the domain of the function as:

Domain = (-4, 5)

We need to find the range of the function and draw its graph.

For x = -4, the value of function will be:

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

f( -4) = - 8 + 3

f( -4) = - 5

For x = 5, the value of function will be:

f( 5) = 2 (5) + 3

f( 5) = 10 + 3

f( 5) = 13

So, the range will become:

( -5, 13)

The graph of the function with points:

x        y

1        5

2       7

3       9

Therefore, we get that, the range of the function f(x) = 2 x + 3 will be ( -5, 13).

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