Arianna is packing scented candles and candle holders into gift boxes. She has 84 candles and 48 holders, and each box must contain both items. She puts the same number of candles in each box, and the same number of holders in each box. What is the maximum number of gift boxes Arianna can pack, and how many scented candles and candle holders will each box have?

Answers

Answer 1

Answer:

Step-by-step explanation:

If she has 84 candles and 48 holders, we can write out the factors of both values as shown

For candles

84 = 2×2×3×7

84 = 12×7

For 48

48 = 2×2×2×2×3

48 = (2×2)×(2×2×3)

48 = 4×12

48 = 12×4

From both factors, we can are that 12 common to both of them. This means that the maximum number of gift boxes Ariana can pack is 12

The other factors will give the amount of scented candles and candle holders that each box will have. This means that each box will have 7scented candles and 4 holders.


Related Questions

A box contains 20 calculators, and two of them are defective. Three calculators are randomly selected from this box and inspected to determine whether each of them is good or defective. Is this experiment a binomial experiment? Why or why not? Explain your REASONING and provide EVIDENCE

Answers

Answer:It is a binomial experiment

Step-by-step explanation:

A binomial experiment is an experiment that has a fixed number of independent trials with only have two possible outcomes. This outcome could either be a yes or No.

example is when a coin is toss one can set it as either I will get a head or a tail.

The experiment is binomial because it has a fixed number of trial which is 3 calculator that has been picked,

It has two outcome which is either good or bad calculator and the each trial is independent of each other.

What is the property demonstrated by the equation (2a)^4 = 16a^4
(^4 indicates an exponent (which is 4))

Answers

Answer:

Ues the site called quetext is helps

Step-by-step explanation:

Multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together. (2a)^4 = 16a^4 is distributive property.

What is Distributive property?

Multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together.

If an exponent acts on single term in parentheses, we can distribute the exponent over the term.

(2a)^4

=2^4.a^4

The value of 2^4 is 16, because 2^4=2*2*2*2=16.

=16a^4.

Therefore by distributive property of exponents (2a)^4 = 16a^4.

To learn more on distributive property click:

https://brainly.com/question/5637942.

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2x+5/3 = 3x-10
Please can anyone help?

Answers

Answer:

first bring x value together

Step-by-step explanation:

like 2x and 3x together and then take 5/3 to RHS and solve

Simplify this awnser ty

Answers

Answer:

8^3=512,8^2=64,8^1=8,8^0=1

Step-by-step explanation:

I NEED HELP ASAPPPPP

Answers

Answer:

6 decimal places.

Step-by-step explanation:

It's a pretty simple problem. Just simply divide 355 by 113. When you do that you get 3.14159292, which is 6 decimal place accuracy because pi in your problem, is equal to 3.141592654. Then you just count the matching decimal places, which is 6.

The answer is 6. If you divide 355 / 113 it matches pi to the 6 decimal point

The width, w, of a rectangular pool is 15 feet. The area of the rectangular pool is no more than 75
square feet. Which inequality represents all possible lengths of the pool?

Answers

Answer:

1. W=15 L=5 or W=5 L=15.

Step-by-step explanation:

expand 3(z+3) please help me solve this

Answers

Answer:

3(z+3) = 3z + 9 if thats what your asking

Step-by-step explanation:

A line includes the points (6, 2) and (8, 6). What is its equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

y = x −

Answers

Answer:

y=2x-10

Step-by-step explanation:

Hope this helps   (:

I need help with this geometry

Answers

Answer:

90 degrees

step by step explanation:

LKM moves half way on the blender which is 90 degrees.

True or False: Every number has a limited amount of factors, but an unlimited amount of multiples. ​

Answers

Answer:

False

Step-by-step explanation:

0 has unlimited numbers of factors because 0 times everything equals 0. If 0 is not included then the statement is true.

Which expression is equivalent to-80? O-45 O-4/5 O 45 O 45​

Answers

-4v5i

Step-by-step explanation:

Which point represents the unit rate?

Answers

Answer:

Point C

Step-by-step explanation:

Unit rate is always how much it is for 1 and point C has a 1 in it's coordinate pair. It isn't point B because point B is not graphed on the line.

Answer:

C.

Step-by-step explanation:

A mobile dealer sells a mobile at a discount of 25% on its marked price and earns a profit of 10%. If the marked price of the mobile is 8800, what will be the cost price of the mobile? 6075​

Answers

Given :

Discount = 25% .

Profit = 10%.

Marked price of mobile = Rs.8800.

Find :

Cost Price of the mobile

Solution :

As we know that, their is no direct relation between Mark price and cost price . so we have to work on selling price of the mobile.

So,

→ MP of mobile = Rs.8800

→ Discount = 25% .

than,

→ SP of mobile = MP * (100 - discount%) / 100

→ SP of mobile = 8800 * (100 - 25) / 100

→ SP of mobile = 88 * 75

→ SP of mobile = Rs.6600 .

Now,

→ SP of mobile = Rs.6600

→ Profit % = 10% .

than,

→ CP of mobile = SP * 100 / (100 + Profit%)

→ CP of mobile = 6600 * 100 / (100 + 10)

→ CP of mobile = (6600 * 100) / 110

→ CP of mobile = 60 * 100

→ CP of mobile = Rs.6000 . (Ans.)

Hence , Cost Price of the mobile is Rs.6000.

I hope it will help you.

Regards.

A percentage is a way to describe a part of a whole. The cost price of the mobile phone is 6,000.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

Let the cost price of the mobile be represented by x.

Given that dealer earn profit of 10% on its cost price, therefore, we can write the selling price of the mobile as,

Selling price = Cost price + Profit

                     = x + 10% of x

                     = 1.10x

Also, given that the mobile dealer sells a mobile at a discount of 25% on its marked price. Therefore, we can write the selling price as,

Selling price = Marked price - Discount

                     = Marked price - 25% of marked price

                     = 8,800 - 25% of 8,800

                     = 8,800 - 0.25(8,800)

                     = 8,800 - 2,200

                     = 6,600

Now, Comparing the sales price we got from above two equation, therefore, the cost price of the mobile can be written as,

1.10x = 6,600

x = 6,600/1.10

x = 6,000

Hence, the cost price of the mobile phone is 6,000.

Learn more about Percentages here:

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8³ times 8⁷ i need help asap

Answers

Answer: 8¹⁰

Explanation: Since these two powers have the same base of 8, you can

multiply them together by simply adding their exponents to get 8¹⁰.

A common mistake in this problem would be to

multiply the bases together and give an answer of 64¹⁰.

It's important to understand however that the 8's can't be

multiplied together because they are not coefficients, they are bases.

When applying your exponent rules, your base will never change.

The bells are adding a new room to their house. The room will be a cube with volume 8000ft3. They are going to put in hardwood​ floors, and the contractor charges10 ​$ per square foot. How much will the hardwood floors​ cost? The hardwood floors will cost ​$

Answers

Given:

Volume of a cubed room = 8000 cubic ft

Cost of floor hardwood = $10 per square foot

To find:

The total cost of floor hardwood.

Solution:

Let the each side of cubed room be x ft.

Volume of a cube is cube of its side.

Volume of a cubed room is 8000 cubic ft. So,

[tex]x^3=8000[/tex]

Taking cube root on both sides.

[tex]x=20[/tex]

So, length of each of room is 20 ft.

Area of base = length × breadth

So, area of base of room is

[tex]20\times 20=400\text{ ft}^2[/tex]

It means, 400 sq ft  hardwood is required for the floor.

Cost of floor hardwood is $10 per square foot. So, total cost of hardwood floor is

[tex]400\times 10=4000[/tex]

The hardwood floors will cost ​$4000.

Please help ;^;^;^;^;​

Answers

Answer:

-5

Step-by-step explanation:

The numbers went from -9t to -8t That means 1t=-5

Answer:

t = -5

Step-by-step explanation:

-9t - 5 = -8t

+-9. +-9

-5 = t

While on spring break, Kayla decided she wanted to go parasailing She was held at a constant angle above the water by a large tow rope attached to the back of the boat. The length of the tow rope is 240 meters. If the angle of the rope keeps Kayla at a horizontal distance of 181 meters away from the boat, how high above the boat is Kayla?

Answers

Answer:

157.6m

Step-by-step explanation:

Given

Horizontal distance = 181m

Length of the rope =240m

To know how high above Kayla was, we will use the Pythagoras theorem.

According to the theorem;

d² = x²+y²

x is the horizontal distance

y is the vertical distance

d is the length of the rope

Substitute

240² = 181²+y²

y² = 240²-181²

y² = 24839

y = √24839

y = 157.6m

Hence the boat is 157.6m above Kayla

Which shows the image of quadrilateral ABCD after the transformation Ro, 90?

Answers

Quadrilateral ABCD is rotated 90 degrees clockwise, to get A'(0, 1), B'(-1, 0), C'(-3, 2) and D'(-2, 3).

Transformation

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

If a point A(x, y) is rotated clockwise by 90 degrees, the new point is at A'(y, -x)

Quadrilateral ABCD is at A(-1, 0), B(0, -1), C(-2, -3) and D(-3, -2). If ABCD is rotated 90 degrees clockwise, the new point is at A'(0, 1), B'(-1, 0), C'(-3, 2) and D'(-2, 3).

Find out more on transformation at: https://brainly.com/question/1548871

Answer:

B)

Step-by-step explanation:

edge

I need help with this graph.

Answers

Answer:

It doesn’t represent a function

Step-by-step explanation:

Simplify 0.05x + 1.02x.

1.07x
1.7
0.17x

Answers

Answer:

1.07x

Step-by-step explanation:

Since they both have a x, you can simply add .05 + 1.02 to get 1.07x.

Answer:

It is 1.07x (✿◠‿◠)

banana cheese salad with cheese on top

Answers

Step-by-step explanation:

question is notcorrect

Answer:

[tex]x<-5[/tex]

Step-by-step explanation:

[tex]4-x<9[/tex]

Subtract 4 to both sides

[tex]x<-5[/tex]

Hope this helps and pls do mark me brainliest if you can:)

what is the slope of a line that passes through 5,15 and 6,11?

Answers

Answer:

slope is -4, equation is y= -4x + 35

Step-by-step explanation:

 11-15

______

 6-5

-4

____

1

11 = -4(6) + b

b = 35

What is the solution of 34x+2x=44

Answers

Answer:

x=11/9 hope this helped <3

Step-by-step explanation:

Let's solve your equation step-by-step.

34x+2x=44

Step 1: Simplify both sides of the equation.

34x+2x=44

(34x+2x)=44(Combine Like Terms)

36x=44

36x=44

Step 2: Divide both sides by 36.

What is the slope of the graph shown below?
-3
7 -6 -5 -4 -3 -2 -1
1 2 3 4 5 6 7
-2
-3
-4
-5
-6
.7
A. -3
B. 4
C. 4/3
O D. 1/4

Answers

Answer:

2435

Step-by-step explanation:

∆ABC is isosceles. If m∠B = 35° what is the measure of ∠C?

Answers

Answer:

If ABC is isosceles, then <C is 35, and <A should be 110.

Step-by-step explanation:

Gemma has 23 apples and she gives her brother 5 apples what percent did she give to her brother?
Plz help?

Answers

Answer:

4.6%

Step-by-step explanation:

It’s would be 18% or 17%

please answer the questions circled aka: Lillie’s grandmother is making potato salad for a family reunion. She uses three potatoes for each person attending the dinner. If she expects 24 people to attend the reunion, which proportion can be used to solve for p, the number of potatoes? * AWNSER CHOICES ARE ON THE PICTURE and number 2: A 5 lb. package of chicken costs $6.00. What is the cost per pound? *

Answers

Answer:

c

Step-by-step explanation:

the second question 65cent

The answer is B. This is because the answer has to be 24 x 3 and that is what the proportion shows. The second question is $1.20 per pound it is just dividing 6 by 5 to find the unit rate.

el 30% del 40% de 60 es/ 30% of 40% of 60 is​

Answers

Step-by-step explanation:

uiuhhhghjsjsisbsidgurdbridbr d

Mike and Larry are friends who share the same birthday.They decided to have a birthday party together and their friends. Mike received 21 gifts while Larry received 12 gifts. What is the ratio of gifts for Mike to Larry ​

Answers

Answer:

21:12

Step-by-step explanation:

Answer:

7:4

Step-by-step explanation:

because u simplify 21:12 and u would get 7:4

what is the x intercept for y= 3x - 8

Answers

Answer:

The x-intercept would be 8/3.

Answer:

(8/3, 0)

Step-by-step explanation:

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