A monkey collects 60 coconuts and wants to store them in stacks that each contain the same number of coconuts. Describe all the different stacks the monkey can make, including the number of coconuts in each stack. Then find the prime factorization of 60. The monkey can make 1 stack of , 2 stacks of , 3 stacks of , 4 stacks of , 5 stacks of , 6 stacks of , 60 stacks of , 30 stacks of , 20 stacks of , 15 stacks of , 12 stacks of and 10 stacks of . The prime factorization of 60 is

Answer:

4 × 10/9 = 40/9 is the solution

Answer:

Stacey is 16 miles far from the beginning of the trail.

Step-by-step explanation:

Given:

Stacey's total hike journey to NCT, Colorado = 18 miles

Distance covered by her to, a resting spot = 4 miles

We have to find:

How far from the beginning of the trail is Stacey [tex]6[/tex] hours after leaving the resting spot.

According to the question.

Distance remaining = [tex](18-4) = 14[/tex] miles

Time taken = [tex]6[/tex] hours    Speed maintained = [tex]2[/tex] mph

After leaving the resting spot she has covered a distance :

⇒ [tex]Distance = speed\times time[/tex]

⇒ [tex]Distance = 2\times 6[/tex]

⇒ [tex]Distance = 12[/tex] miles.

In [tex]6[/tex] hours she has covered [tex]12[/tex] miles and also she has covered [tex]4[/tex] miles before stopping here.

From the beginning she has covered :

⇒ [tex]Total\ distance =(4+12)[/tex]

⇒ [tex]Total\ distance = 16[/tex] miles.

Stacey is 16 miles far from the beginning of the trail.

Answer: Jake has 24 cards

Step-by-step explanation:

Let x represent the number of Pokemon cards that Elijah has.

Jake had two more cards than Elijah. It means that the number of cards that Jake has is x + 2

Elijah had three more cards than Zaire. It means that the number of cards that Zaire has is x - 3

Jake, Elijah, and Zaire had 65 Pokemon cards. It means that

x + x + 2 + x - 3 = 65

3x - 1 = 65

3x = 65 + 1 = 66

x = 66/3 = 22

The number of cards that Jake has is

x + 2 = 22 + 2 = 24

Answer:

24

Step-by-step explanation:

Given:

Total number of cards, T = 65

Let's take number of Elijah's cards as E

Jake's cards = J

Zaires's cards= Z

So we have,

J+E+Z = 65

We are told Jake had 2 more than Elijah=

J= E+2

Elijah had 3 more than Zaire. number of Zaire's card will be=

Z= E-3

We now have:

E+2+E-3+E = 65

3E = 65+1

3E = 66

E = 66/3

E=22

Number of Elijah's card is 22

We are told Jake had 2 more cards than Elijah. Therefore number of Jake's cards will be=

E + 2

= 22 + 2 = 24

Number of Jake's cards = 24

Answer:N10500

Step-by-step explanation:

10%of 14000=1400

20%=1400x2=2800

5%=1400 divided by 2=700

25%=2800+700=3500

14000-3500=10500

hope this helps

Answer:

2. 300(16)∧t

Step-by-step explanation:

p(t) = 300(2)∧4t

where b is the number of hours

2∧4t =2∧4(t) 2 x2 x2 x2 = 16∧t

p(t) = 300(2)∧4t = 300(16)∧t

Answer: 16 pints

Step-by-step explanation:

There are 8 pints in a gallon so 8*2=

16 pints

Answer:

16 pints.

Step-by-step explanation:

Hello there!

There are 8 pints in a US gallon, so:

8x2=16 pints

Answer:

The consumers in that commercial area create the demand for coffee shops. However, Jeff is the consumer for coffee shop employees.

Step-by-step explanation:

The consumers in that commercial area create the demand for coffee shops.

Jeff creates the demand for coffee shop employees.

Demand is an economic term that refers to the number of products or services that consumers wish to purchase at any given price level. The mere desire of a consumer for a product is not demand. Demand includes the purchasing power of the consumer to acquire a given product at a given period.

Supply is the number of goods an individual or business provides to the market which refers to the amount they produce at a specific point in time. For example, if Apple manufactures 100 iPhones, then this is the supply that is brought to the market.

Learn more about demand here https://brainly.com/question/1245771

#SPJ2

Answer:

4

Step-by-step explanation:

If you prime factorization both

for 16 you get 2^4= 2^2*2^2

for 44 you get 2^2*11

they both have 2^2 so 4

Look at the attached picture⤴

Hope it will help u...

Answer:

12,000 people were present

Step-by-step explanation:

In this question, we are asked to calculate the number of people in a park on an afternoon given the measurements of the park and its population density.

Firstly, we calculate the area of the park.

Mathematically the area is the product of the length and width = 0.5 * 2.5 = 1.25 square miles

Let’s convert this to acres. From the question, we know that one square mile is 640 acres, this mean that 1.25 square mile would be 1.25 * 640 = 800 acres

Now let’s consider the population density of 15 people per acre, the number of people present is thus 800 * 15 = 12,000 people

Answer:

For a $45 purchase the discount would be $-4.5

the sales price $40.5

For a $110 purchase the discount is  $-11

The sales price $99

Step-by-step explanation:

To find the discount on an item first multiply the original cost of the item by the percentage discounted. in this case,

$45 × 0.10 = $4.5

$110 × 0.10 =$11

$4.5 and $11 are respective discount amounts

now simply subtract the amount of the discount from the original price

$110 - $11 = $99

$45 - $4.5 =  $40.5

These are your final sale prices after discount.

Answer:

8/125 ft

Step-by-step explanation:2/5 x 2/5 x 2/5 = 8/125

Answer:

The answer to your question is Volume of a cube = 8/125 ft³

Step-by-step explanation:

Data

length of a side = 2/5 ft

Formula

Volume of a cube = side x side x side

Substitution

Volume of a cube = 2/5 x 2/5 x 2/5

-Just multiply the numerator and multiply the denominators

-Simplification

The Volume of a cube = 8/125 ft³

Answer:

The events a) and c) are mutually exclusive.

Step-by-step explanation:

a) This is mutually exclusive, each card has a unique value between 2 and 10, or it is a jack, queen, king, or an Ace. A single card cant have two different values at the same time.

b) This is not mutually exclusive, since you can get a king of clubs. Each card can have any combination of one suit and one value.

c) A face card is either a Jack, a Queen or a King, it is not an Ace. For the same argument of a), a card cant have two different values, therefore this event is mutually exclusive.

d) This is not mutually exclusive, since a card can have any suit independently of the value it has (same argument than b), therefore, a card can be a face card and a spade at the exact time.

Therefore, events a and c are mutually exclusive.

a)    Getting a 7 and getting a jack: Mutually exclusive events

b)    Getting a club and getting a king: Not mutually exclusive events

c)    Getting a face card and getting an ace: Mutually exclusive events

d)    Getting a face card and getting a spade: Not mutually exclusive events

A standard deck of cards has 52 cards having 13 ranks each of 4 suites. The 13 ranks are

[tex]\text{Ranks}=\{Ace,2,3,4,5,6,7,8,9,10,Jack,Queen,King\}[/tex]

and the suites are

[tex]Suites=\{Clubs,Diamonds,Hearts,Spades\}[/tex]

a)    Getting a 7 and getting a jack:

Since a 7 and a Jack are different rank elements, you either pick a 7 of a suite, or a Jack of a suite, but never both. So, the events are mutually exclusive.

b)    Getting a club and getting a king:

Since a Club is a suite and a King is a Rank, the sample space will have a King of Clubs card. So, the events are not mutually exclusive.

c)    Getting a face card and getting an ace:

A face card is a card with a face on it. Faces are Ranks, but an Ace is also a Rank. The sample space contains cards with only one Rank per card. So, the events are mutually exclusive.

d)    Getting a face card and getting a spade:

Faces are Ranks, and a Spade is a suite. The sample space will contain face cards for the Spade suite of cards. So, the events are not mutually exclusive.

Learn more about probability here: https://brainly.com/question/15944614

Answer:

[tex]\frac{20}{9}[/tex] square feet

Step-by-step explanation:

We are given that

Side of square tile=[tex]\frac{1}{3} foot[/tex]

Total number of tiles used in rectangular floor=20

Area of square=[tex](Side)^2[/tex]

Area of square tile=[tex](\frac{1}{3})^2=\frac{1}{9}[/tex]square feet

Area of rectangular floor covered by square tiles =Area of 20 square tiles

Area of rectangular floor covered by square tiles=[tex]20\times \frac{1}{9}[/tex] square feet

Area of rectangular floor covered by square tiles=[tex]\frac{20}{9}[/tex] square feet

Hence, the area of rectangular floor covered by square tiles=[tex]\frac{20}{9}[/tex] square feet

Answer:

22.36

Step-by-step explanation:

20*.86=17.2

12 *.43= 5.16

Final answer:

To find the total amount Rosa spent on the chocolate and candy, multiply the cost of a box of chocolate by 20 and the cost of a bag of candy by 12. Then, add the two amounts together.

Explanation:

To find the total amount Rosa spent on the chocolate and candy, we need to calculate the cost of each item and then add them together.

Given that a bag of candy costs $0.43 and a box of chocolate costs twice as much as a bag of candy, we can calculate:

The cost of a box of chocolate = $0.43 x 2 = $0.86

Rosa bought 20 boxes of chocolate, so the total cost of the boxes of chocolate = 20 x $0.86 = $17.20

Rosa also bought 12 bags of candy, so the total cost of the bags of candy = 12 x $0.43 = $5.16

Finally, to find the total amount Rosa spent, we add the cost of the boxes of chocolate and the bags of candy together:

Total spent on chocolate and candy = $17.20 + $5.16 = $22.36

From the given parameters with reasons and statements, we have proven that AE = CE and BE = DE from; Properties of Parallelogram and ASA Congruence Postulate.

Statement 1; ABCD is a parallelogram

Reasons 1; given

Statement 2; ∠ABE and ∠CDE are alternate Interior angles

Reason 2; Definition of Alternate Interior angles

Statement 3; ∠BAE and ∠DCE are alternate Interior angles

Reason 3; Definition of Alternate Interior angles

Statement 4; AB = CD

Reason 4; Parallelogram side theorem

We want to prove that AE = CE and BE = DE

From properties of parallelogram, we can say that ∠CBD = ∠ABD and also ∠BCA = ∠DAC

Thus, it means that; ΔBEC ≅ ΔAED

Thus, from ASA Congruency postulate, we can say that;

AE ≅ CE and BE ≅ ED

Read more about two column proof at; https://brainly.com/question/1788884

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

By eliminating Linens department net operating income fell by $574,800.00

Step-by-step explanation:

The question requires that the monthly contribution income statement be prepared when the Linens is closed or eliminated,incorporating the unavoidable fixed costs of $373,000 as well as the fall in sales of Hardware by 15%.

             Monthly Contribution Income Statement:

Sales($3,110,000)*(1-15%)                               $2,643,500.00  

Variable expenses($858,000)*(1-15%)          ($729,300.00)

Contribution margin                                        $1,914,200.00  

Fixed expenses($1,480,000+$373,000)      ($1,853,000.00)

Net operating income                                        $61,200.00  

Reduction in net operating=$636,000-$61,200.00=$574,800  

Alternatively:

Lost contribution from closing Linens department    $674,000.00

Lost contribution from Hardware(15%*$2,252,000)   $ 337,800.00  

Total lost contribution                                                   $1,011,800.00  

Less avoidable fixed costs($810,000-$373,000)         ($437,000.00)

Reduction in profits company-wide                                $574,800.00  

The sunk costs, allocated costs, and the impact on the Hardware Department's sales and profitability, dropping the Linens Department appears to be a financially prudent decision for Bed & Bath.

Sunk Costs and Allocated Costs:
- $373,000 of the fixed expenses allocated to the Linens Department are sunk costs or allocated costs. These costs will continue even if the Linens Department is dropped. They should not be considered in the decision-making process as they will not change with the elimination of the department.

2. Impact on Hardware Department:
- Dropping the Linens Department will result in a 15% decrease in the sales of the Hardware Department. This means that the sales of the Hardware Department will decrease by $1,110,000 (15% of $3,110,000, Linens sales). This decrease in sales will impact the contribution margin of the Hardware Department.

3. Contribution Margin Calculation:
- The contribution margin of the Hardware Department before dropping Linens is $2,252,000. With a 15% decrease in sales, the new contribution margin for the Hardware Department is $1,142,000.

4. Net Operating Income:
- The net operating income of the Hardware Department after dropping the Linens Department is calculated by subtracting the fixed expenses of the Hardware Department and the revised contribution margin from the total sales.

5. Overall Impact:
- Dropping the Linens Department will result in a positive impact on the overall net operating income of Bed & Bath. The increased net operating income from the Hardware Department ($772,000) will offset the loss from dropping the Linens Department ($136,000).

Considering the sunk costs, allocated costs, and the impact on the Hardware Department's sales and profitability, dropping the Linens Department appears to be a financially prudent decision for Bed & Bath.

Answer: perimeter = 96mm, Area = 564mm².

Step-by-step explanation:

From the diagram, it is a trapezium, it has a rectangle joined together by a right angled triangle. Now to find the perimeter, we add all the dimensions together. To get the other side of the rectangle, which is also the perpendicular height of the figure, we take the Pythagoras. Let the perpendicular height = x

Therefore,

25² = ײ + 7²

625 = x² + 49

x² = 625 - 49

x² = 576

x. = √576

= 24.

Now the perimeter

= 20 + 25 + 7 + 20 + 24

= 96mm.

Area of the figure will be

= 1/2( a + b )h

Where a = 20, b = 20 + 7 = 27 and h = 24, now substitute for the values

( 20 + 27) x 24

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

2

= 47 x 24/2

= 47 x 12

= 564mm²

Answer: m + 4

Step-by-step explanation:

Expressions don't have equal signs and the values are separated by a symbol/s.

Answer:

m+4

An expression is the problem.

Ex: 2+3=5 2+3 Would be the expression here

Answer:

199 square feet

Step-by-step explanation:

Given:

Trace needs a new carpet for her house.

Dimension of dining room = 6 feet by 4 feet.

Dimension of sitting area = 10 feet by 15 feet.

Dimension of breakfast nook = 5 feet by 5 feet.

Question asked:

How many square feet of carpet does she need ?

Solution:

First of all we will calculate the area of each part of the house and then add up.

[tex]Area \ of \ dining\ room=length\times width[/tex]

                                  [tex]=6\times4\\ \\ =24\ square\ feet[/tex]

[tex]Area \ of \ sitting\ part=length\times width[/tex]

                                  [tex]=15\times10\\ \\ =150\ square\ feet[/tex]

[tex]Area \ of \ breakfast\ nook=(side)^{2}[/tex]

                                       [tex]=5^{2} =25\ square\ feet[/tex]

Total carpet needed will be needed = For dining + For sitting area + For breakfast nook

                                              = 24 + 150 + 25

                                              = 199 square feet

Therefore, she needs 199 square feet of a new carpet for her house.

Answer:

2/3

Step-by-step explanation:

Answer: The probability is zero.

Step-by-step explanation:

The labels on the 4 cards are 1, 3, 5 and 7. Because the cards are equal, the probability of dragging at random each one of them is equal to 1/4 = 0.25.

Now, the probability that Tim selects a card labeled with a 4 is equal to the number of cards labeled with a 4, divided the total number of cards.

We do not have cards labeled with a 4, so the probability is:

p = 0/4 = 0

because we do not have any card labeled with a 4, the probability of selecting one at random is equal to zero.

Final Answer:

The probability is zero.

Explanation:

The labels on the 4 cards are 1, 3, 5 and 7. Because the cards are equal, the probability of dragging at random each one of them is equal to 1/4 = 0.25.

Now, the probability that Tim selects a card labeled with a 4 is equal to the number of cards labeled with a 4, divided the total number of cards.

We do not have cards labeled with a 4, so the probability is:

p = 0/4 = 0

because we do not have any card labeled with a 4, the probability of selecting one at random is equal to zero.

Answer:

40%

Step-by-step explanation:

Total Number of Students in Introductory Physics Course =100

Number of Math Majors = 60

Number of Science Majors = 40

Relevant Facts

Therefore, there is a 40 out of 100 chance that Sarah is a science major.

Expressed in percentage, there is a 40% chance that Sarah is a science major.

There is a 40% chance that Sarah is a science major.

To determine the probability that Sarah is a science major, we use the information given about the composition of the student group. There are 100 students in total, 60 of whom are math majors, and 40 are science majors.

To find the probability that Sarah is a science major, we simply take the number of science majors and divide it by the total number of students. Therefore, the probability (P) is calculated as:

So, there is a 40% chance that Sarah is a science major.

The diameter of this circle is 10, the circumference is 31.4 and the area is 58.5.

Because the diameter of a circle is twice its radius, we have:

d = 2*r

d = 2*5 = 10

The following formula calculates the circumference of a circle:

2*pi*r = circumference

2*3.14*5 circumference

10 times 3.14 equals 31.4

The following formula calculates the area of a circle:

area = pi*r²

area = 3.14*(5)²

area = 3.14*25

area = 78.5

This circle has a diameter of 10, a circumference of 31.4, and an area of 58.5.

Complete question:

Find the diameter, circumference, and area of the circle with a radius of 5 cm.

Answer:

40 days

Step-by-step explanation:

The next that the two lineup is forty days.

8,16,24,32,40

10,20,30,40

40 is when they meet up

Answer:

B. Classical

Step-by-step explanation:

By definition, classic decision model is where the problems are clearly defined, all possible actions and alternatives are known, and the consequences of the alternatives are clear.

Answer:

Mean (Average) 3.7777777777778

Median 4

Range 7

Mode 1, appeared 3 times

Geometric Mean 2.8976123026694

Largest 8

Smallest 1

Sum 34

Count 9

Step-by-step explanation:

Im bored so i gave you everything

Answer:

  125

Step-by-step explanation:

The volume scale factor is the cube of the scale factor of linear dimensions:

  5³ = 125

The volume scale factor is 125.