Gift bags are being distributed at a birthday party. If there was a total of 140 jolly ranchers
and 60 candy bars placed into gift bags, how many different combinations can be made so that there are not any pieces of candy left over? Which combination has the most amount of bags? Explain

Answers

Answer 1

Answer:

Total number of jolly ranchers= 140

Total number of candy bars= 60

Now , we have to place jolly and candy into gift bags such that no pieces of candy should left.

1. Find the ratio of jolly ranchers and candy bars

 = 140/60

= 7/3

So, possible combination are (7,3),(14,6),(28,12),(35,15),(70,30).

1.So,in combination (7,3), number of bags=[tex]\frac{Total candy}{(7+3)}[/tex]

                                                                  =[tex]\frac{200}{10}[/tex]

                                                                  =20


2. Number of Bags(14,6)=200÷20=10

3.Number of Bags(28,12)=200÷40=5

4.Number of Bags(35,15)= 200÷50=4

5.Number of Bags(70,30)=200÷100=2

Combination (1) in which there are 7 Jolly ranchers and 3 candy bars has the most amount of bags which is 20.


Related Questions

What is 4.58+y=2.5? Thanks!

Answers

Isolate the y. Note the equal sign. What you do to one side, you do to the other. Subtract 4.58 form both sides

4.58 (-4.58) + y = 2.5 (-4.58)

y = 2.5 - 4.58

y = -2.08

-2.08 is your answer

hope this helps

Marketing Chapter 3 Test Questions

1. A movie theater charges $5 per ticket and averages 300 customers each night. If prices are raised to $7 per ticket, the theater estimates that average nightly ticket sales will be $1,750. What is the percentage change in the average number of customers the theater has each night? (Express your answer in whole numbers; round decimals up or down).      

Answer is 0.17

2. A movie theater charges $5 per ticket and averages 300 customers each night. If prices are raised to $7 per ticket, the theater estimates that average nightly ticket sales will be $1,750. What is the percentage change in ticket prices?

Answer is 0.40


3. A movie theater charges $5 per ticket and averages 300 customers each night. If prices are raised to $7 per ticket, the theater estimates that average nightly ticket sales will be $1,750. What is the elasticity of demand in this situation? (Hint: Elasticity of demand is determined by calculating the ratio of the percentage change in the quantity demanded over the percentage change in price.)

Answer is 0.425


4. Study the following data for a product:

Price Amount produced Amount demanded
$200 100,000 7,000
$100 80,000 35,000
$75 45,000 45,000
$50 30,000 70,000
$20 15,000 90,000

Find the market price. ________?  Answer is $75

Answers

Step-by-step explanation:

1.) The average nightly ticket sales can be calculated as

Average sales = Average no. of customers per night x Charge per ticket

For the second night, we have

$1750 = (N)($7)

This gives us N = 250.

So, the average number of customers decreased as a result of the price increase.

To calculate the percentage change, we use the following formula:

% change = [tex]\frac{250 -300}{300} X 100[/tex]

We have -17% change in the average number of customers the theater has each night. The negative sign indicates a decrease in the number, which is consistent with our calculations.

2.) % change in prices = [tex]\frac{Final price - Initial price}{Initial price} X100[/tex]

Therefore, we have 40% change in the cost of ticket per person, which reflects an increase in the prices.

3.) Elasticity of Demand = [tex]\frac{ percentage change in quantity demanded}{percentage change in price}[/tex]

Hence, we have [tex]\frac{-17}{40}[/tex] = -0.425

This stands consistent with the Law of Demand - as the price increases, the quantity demanded decreases.

4.) Market price is obtained by looking for a point where the quantity supplied equals the quantity demanded. From the table we see that at $75 price, there is a demand for 45,000 units of that product in that market, which the suppliers are willing to supply. Hence, that defines the market price for that product.

The image from rotating a figure in the first quadrant 180 degree clockwise.

Answers

Final answer:

When rotating a figure in the first quadrant 180 degrees clockwise, the x-coordinates and y-coordinates of the points are negated.

Explanation:

When an object in the first quadrant is rotated 180 degrees clockwise, its position is reflected across both the x-axis and y-axis. This means that the x-coordinates are negated and the y-coordinates are also negated.

For example, if a point A is located at (3, 4) in the first quadrant, after rotating it 180 degrees clockwise, it will be reflected across the x-axis and y-axis to the position (-3, -4).

Therefore, all points in the figure will have their coordinates negated when rotated 180 degrees clockwise in the first quadrant.

What is
[tex]4x {}^{2} \times - 3x[/tex]

Answers

Hey there!!

Given equation :

... 4x² ( -3x )

... We know, 4 times -3 would be -12 and x² times x would be x³.

Hence,

the answer of 4x² × -3x is

... -12x³

Hope my answer helps!!


Is x = -3 a solution to the equation -3X^2=-27

Answers

Yes it is.

-3(-3)^2 = -27

-3(9) = -27

-27 = -27

x=-3
-3×x²=-27
-3×-3²=-27
3-×-9=-27
-27=-27
LHS=RHS

A new cell phone costs $85, and the sales tax is 9%. what is the amount of sales tax?

Answers

This is a great life skill to learn and something you will use everyday.  To find tax, multiply the cost by the tax rate as a decimal.  Here is how it is done:


cost: $85

tax rate: 9%=0.09 as a decimal

85 times 0.09= 7.65

You will pay $7.65 in taxes on the new cell phone.


Answer:

7.65

Step-by-step explanation:

just did the lesson

what is the answer N= (3×5²×X³)

Answers

N= (3×5²×X³)

N = 75 * X³

N = 75 X³

Comment.

Just write out all the factors.

N = 3*5*5 * x*x*x

Note that the "x"s don't combine with anything but themselves. The numbers do.

3*5*5 = 75

N = 75 * x³    Answer

1. A triangle-shaped machine part has sides of 21 /2 inches, 31 /4 inches, and 5 inches. The triangle's perimeter is A. 103 /4 inches. B. 113 /8 inches. C. 101 /8 inches. D. 111 /2 inches.

Answers

The perimeter of a triangle is the sum of its sides​

​Perimeter = 21/2 inches + 31/4 inches + 5 inches =

​Perimeter = 21*2/2*2 inches + 31/4 inches + 5*4/4 inches =

Perimeter = 42/4 inches + 31/4 inches + 20/4 inches =​

Perimeter = (42 inches + 31 inches + 20 inches)/4 = 93/4 inches

Answer : 93/4 inches​

Hope this helps!​​​​​

​[tex]\textit{\textbf{Spymore}}[/tex]​​​​​​​

the ratio of the length of an airplane wing to its width is 6 to1 . if the length of a wing is 12.5 meters ,how wide must it be

Answers

If you set up a proportion, this will make sense.


[tex]\frac{6}{1}= \frac{12.5}{x}[/tex]

Now, Cross Multiply


6x = 12.5

x = 25/12

What is the value of f(-3)

F(x)={ -2 if x<-3
4x if -3 _^< x _^<-1
X^2 if x >-1

Answers

[tex]f(x)=\left\{\begin{array}{ccc}-2&if&x < -3\\4x&if&-3\leq x\leq-1\\x^2&if&x > -1\end{array}\right\\\\-3\leq-3\leq-1\to f(x)=4x\\\\f(-3)=4(-3)=-12[/tex]

14 is a blank of 7 and 14

Answers

14 is a multiple of 7 and 14.

It is also the least common multiple of 7 and 14.

14 is a multiple of 7 and 14

The statement that "14 is a multiple of 7 and 14" is accurate because 14 can be evenly divided by both 7 and 14. A multiple of a number is the result of multiplying that number by any integer. In this case, 7 multiplied by 2 equals 14, making 14 a multiple of 7. Similarly, 14 multiplied by 1 equals 14, making it a multiple of itself.

Regarding the claim that "14 is the least common multiple of 7 and 14," it is actually incorrect. The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both. In this case, the LCM of 7 and 14 is 14, not 14 itself.

The correct statement would be that 14 is a common multiple of 7 and 14, but it is not the least common multiple. The LCM is the smallest positive integer that is divisible by both numbers, and in this case, it is 14.

To learn more about multiple

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the attendance at a rugby game is as follows no. of men:no. of women:no. of children = 17:9:12
Given that there are 3512 more men than women work out the number of children attending the game

Answers

Answer: Number of children is 5268

Step-by-step explanation:

Since we have given that

The ratio of men to women to children is given by

17:9:12

So,

Number of men be 17x

Number of women be 9x

Number of children 12x

According to question, we have there are 3512 more men than women ,

so,

[tex]17x-9x=3512\\\\8x=3512\\\\x=\frac{3512}{8}\\\\x=439[/tex]

So, Number of children is given by

[tex]12x=12\times 439=5268[/tex]

Answer:

The number of children who attend the game are:

                   5268

Step-by-step explanation:

The ratio of number of men to number of women to the number of children is given by:

           17:9:12

Let x be a constant such that we may define:

Number of men are: 17x

Number of women are: 9x

and the number of children are: 12x

There are 3512 more men than women.

This means that:

        17x-9x=3512

i.e.    8x=3512

i.e.  x=439

Hence, the number of children who attend the game are:

           12x=12×439

               = 5268

when you subtract one square number from another the answer is 7 what are the two square numbers

Answers

16 and 9 since 16 - 9 = 7


Apples cost $0.89/pound. How much will 25 pounds cost?

Answers

$22.25 will be your answer for this one

Answer:

Your answer will be 22.25 because 0.89 times 25 equals that

Step-by-step explanation:


Need help on 16 please!!!!!!!

Answers

16,000 because you divide 40,000 by 20 and you get 2000 so you multiple by 8 the number of students that are out less then 5 days a year
16,000 because you should start with dividing 40,000 and 20

evaluate -5/11+ -4/11 writing your answer as a simplified fraction

Answers

The answer would be -9/11 because since the denominator is the same, we can ignore it for now. Just add -4 and -5, you get -9. Finally, add the denominator of 11 back to get the answer

A probability experiment consists of rolling a fair 6-sided die. Find the probability of the event below. Rolling a number greater than 2

Answers

Answer:

The numbers are 1, 2 ,3, 4, 5 and 6.

Therefore 4 of the 6 numbers are greater than 2 so the probability is 4 out of 6 or 2/3.

Step-by-step explanation:


Final answer:

The question relates to probability while rolling a six-sided die for a number greater than 2. There are four favorable outcomes; 3, 4, 5, or 6. Therefore, the probability of this event is 4/6 or 2/3.

Explanation:

The question you asked pertains to the concept of probability, specifically within the context of a fair, six-sided die. In this experiment, there are 6 equally likely outcomes: 1, 2, 3, 4, 5, or 6. When asked for the probability of rolling a number greater than 2, the outcomes we consider favorable are 3, 4, 5, and 6. That's 4 favorable outcomes. So, to calculate the probability of this event, you must divide the number of favorable outcomes by the total number of possible outcomes. Thus, the probability of rolling a number greater than 2 on a six-sided die is 4/6 or reducing to its simplest form becomes 2/3.

Learn more about Probability here:

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What is equivalent to 4.321 × 10−4 ?
A) 43210
B) 4321
C) 0.004321
D) 0.0004321

Answers

The answer is D hope I helped

Answer:D


Step-by-step explanation:


a new car that costs $22575 depreciates at a rate of 11% per year. The car's value can be modeled by the equation V(x)=22,575(0.89)x. evaluate the function over the domain (2,5,7) and interpet the results

Answers

Answer: The values of the function V(x) over the domain (2, 5, 7) are 17881.66, 12,606.01 and 9985.224.

Explanation:

The cost of car is $22575 and the value of car depreciate at a rate of 11% per year.

The value of car can be modeled by the equation,

[tex]V(x)=22,575(0.89)^x[/tex]

Where is number of years after purchase of car or the age of car. We have to find the value of the function over the domain (2,5,7), so put x=2,

[tex]V(x)=22,575(0.89)^2=17881.66[/tex]

It means the value of car will be $17881.66 after two years.

put x=5,

[tex]V(x)=22,575(0.89)^5=12,606.01[/tex]

It means the value of car will be $12,606.01 after five years.

put x=7,

[tex]V(x)=22,575(0.89)^7=9985.224[/tex]

It means the value of car will be $9985.224 after seven years.

Translate equation:
The sum of twice a number six is the same as three subtracted from the number itself.

Answers

2x+6=3-x should be the correct answer

Hello...

The sum of twice a number six is the same as three subtracted from the number itself.

Answer - 2x + 6 = 3 - x




65 points, I will give brainliest.
What is the coefficient in the expression 3x/13 +4 ?
Enter your answer in the box.

Answers

Answer:

I'm pretty sure the co-efficient is 3 mainly because the 3 is in front of the 'x'

Answer:

I believe it is 3/13


Im not sure...

Correct Me if im wrong...


half the difference of a number and 7 is 11. what is the number?

Answers

1/2(x - 7) = 11

Distributive property.

0.5x - 3.5 = 11

Add 3.5 to both sides.

0.5x = 14.5

Multiply both sides by 2.

x = 29. (This is your answer.)

We can plug 29 into the original equation to verify.

1/2(x - 7) = 11

1/2(29 - 7) = 11

1/2(22) = 11

11 = 11 √ This is correct.

Colton can rake 79/10 bags of leaves each hour. How many bags of leaves will colton rake and fill in 6 hours.
I need to know the steps to answering this.

Answers

Answer:

Colton will rake and fill [tex]\frac{237}{5}[/tex] bags of leaves.

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You have that Colton can rake [tex]\frac{79}{10}[/tex] bags of leaves each hour.

2. Then, to calculate the amount of bags of leaves that he will rake and fill in 6 hours (which you can call [tex]x[/tex]), you must multiply these hours by the amount of bags he can rake in 1 hour:

[tex]x=(6)(\frac{79}{10})\\x=\frac{474}{10}[/tex]

3. Simplify:

[tex]x=\frac{237}{5}[/tex] bags of leaves.

Colton can rake and fill 47.4 bags of leaves in 6 hours.

The student has asked how many bags of leaves Colton can rake in 6 hours if he can rake 79/10 bags of leaves each hour. To find the total bags Colton can rake, we need to multiply the number of bags Colton can rake per hour by the total number of hours he works. Here is the calculation step-by-step:

Identify the rate at which Colton can rake leaves: 79/10 bags per hour.Identify the total time Colton will be raking leaves: 6 hours.Multiply the rate by the total time to find the total amount of work done: 79/10 bags/hour *6 hours = 474/10 bags = 47.4 bags.

Therefore, Colton can rake and fill 47.4 bags of leaves in 6 hours.

What is a if 6= a/4+2

Answers

4+2=6 then you bring the 6 to the other side so you have combine like terms. 6-6=0 so its 0

A = 36

Check:

6 = 36/4 + 2

6 = 36/ 6

6 = 6 (True)

-65/64 as a mixed number

Answers

-1  1/64

Hope that helps!!

[tex]- \frac{65}{64}[/tex] as a mixed nombre, The correct answer is [tex]-1 \frac{1}{64}[/tex]

What ordered pair represents the point where the x-axis and y-axis intersecf? What is the name of this
point?

Answers

Answer:

The answer is A.

Step-by-step explanation:

Gavin is thinking of a number.8 more than the product of 7 and the number is 120. find the number.

Answers

The value of the number is equal to 16.

7x + 8 = 120

Subtract 8 from both sides.

7x = 112

Divide both sides by 7.

x = 16

Is this statement true or false the only objects you can find the perimeter of are squares triangles and rectangles true or false

Answers

false

hope this helps :)

Is 1x+4=10 20-11=11 7+10=17
True false or open?

Answers

The first equation is open, since it has an unsolvable variable. 1x could be anything!

The second equation is false, because 20 - 11 = 9    not 11.

The last equation is true,  7 + 10 does equal 17!

1x + 4 = 10

x = 10 - 4

x = 6 (true)

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

20 - 11 = 11

20 - 11 = 9 (false)

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

7 + 10 = 17 (true)

what is the distance between -15 to 20

Answers

On a number line, moving to the left 15 points would land us at -15. Moving to the right 20 points would land us at 20. The amount of points in between those two points is 35. We can find this out by calculating the difference of 20 and -15.
20 - (-15)
The negatives cancel out, making the equation 20 + 15, which is 35. :)

The distance between -15 and 20 on the number line is 35 units, calculated by taking the absolute difference between the two numbers.

The distance between two points on a number line can be found by taking the absolute difference between those points. To find the distance between -15 and 20, you subtract the smaller number from the larger one and take the absolute value:

|20 - (-15)| = |20 + 15| = |35| = 35

Therefore, the distance between -15 and 20 is 35 units.

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