A pile of earth removed from an excavation is a cone measuring 6ft high and 30ft across its base. How many trips will it take to haul away the earth using a dump truck with a capacity of 125 cubic feet?

Answers

Answer 1

Answer: 14

Step-by-step explanation:

Given

Excavation cone measures

height [tex]h=6\ ft[/tex]

Diameter [tex]d=30\ ft[/tex]

Truck can dump [tex]125\ ft^3[/tex] at a time

The volume of a cone is

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Putting values

[tex]\Rightarrow V=\dfrac{1}{3}\times \pi\times 15^2\times 6\\\Rightarrow V=1413.9\approx 1414\ ft^3[/tex]

No of trips(N) required to accumulate this much volume is given by

[tex]\Rightarrow N=\dfrac{1414}{125}=13.3\approx 14[/tex]

Therefore, 14 trips are necessary to accumulate a cone of volume [tex]1414\ ft^3[/tex]


Related Questions

2. Any number that can result from
multiplying our given number by any other
number is a
B. multiple
D. product
A. factor
C. LCM

Answers

Multiple im pretty sure- Well, a multiple is any number obtained by multiplying other numbers together. Multiples are most commonly discussed in the context of integers.

Which is the value of x in the equation?
4(x−3)=40

A. 13
B. 14
C. 15
D. 16

Answers

Answer:

x=13

Step-by-step explanation:

4(x-3)=40

x-3=40/4

x-3=10

x=10+3

x=13

HOPE THIS HELPS YOU

4(x-3)=40
distribute 4, so 4x - 12 = 40
+ 12 +12
4x/4= 52/4

x=13

Harry wants to download some songs to his mp3 player. He received a $20 giftcard for his birthday. It costs $0.90 to download a song. At most, how many songs can he download?

Answers

Step-by-step explanation:

vvvvvec7oecyoeciiiv7oric7oriivsbshshshshshshsJ

$20/$0.90=22.22
At most, Harry can download 22 songs.
22 • $0.90= $19.80

Anyone who helps me answer I’ll brainliest them :D

Answers

Answer:

5x -11

Step-by-step explanation:

it says it there

Answer:

a=5 c=3

Step-by-step explanation:

Please helpppppp
-3x-42>3
And show work

Answers

Answer:

Step-by-step explanation:

-3x-42 > 3

Add 43 to both sides

-3x>45

Divide both sides by -3

x>-15

Henrietta decided to learn 768 new magic spells before her final exam. She plans to learn the same number each day. In the first five days, she learns exactly the number of spells she planned to learn. In the remaining days before her exam, Henrietta learns 6 more magic spells each day than planned. When she still had 1 day left before the exam, Henrietta calculated that she learned 844 new magic spells. How many spells did Henrietta plan to learn each day?

Answers

Answer:

32

Step-by-step explanation:

A numerical expression is evaluated as shown.



32 ÷ {57 – 49} × 4 + 27



Step 1: 32 ÷ 8 × 4 + 27

Step 2: 32 ÷ 32 + 27

Step 3: 1 + 27

Step 4: 28



In which step does a mistake first appear?



Answers

Answer:

step 2

Step-by-step explanation:

BODMAS they multiplied first instead of dividing

A "triply" number is a two digit number equal to three times the product of its digits. List all the triply numbers.

Answers

Answer:  ONLY 15, and 24 there are not more 2 digit triply numbers i have checked all the 2 digits numbers ranging from 10 to 99

Yes there are only 2 triply numbers! Isnt it shocking! I have tried for 2 digit triply numbers from 10 to 99! Yes i did that! Lets go through a basic idea first the product of its digits mean that you mulitply whatever number your checking for a triply number. Example: your checking 15 for a triply number so 1 x 5 = 5 ( you multiply the digits in the 2 digit number to find the product of its digit)! What does 3 times the product of its digits then? hmmmmm. we know that 15's product of its digit is 5 so we mulitiply 5 x 3 because it says three times the product of its digits.

Step-by-step explanation:

15 = 1 x 5 = 5 (we do 1 x 5 because we need to find the product of its digits and to do that we multiply the digits together in the 2 digit number).

5 x 3 = 15 (we multiplied 15 x 3 because it says 3 times the product of its digits. we know the product is 5 and 3 times is multiply by 3 so we do 5 x 3 which equals to 15).

So 15 is a triply number because in the second step when we multiplied 5 x 3 we got 15; and we were checking if 15 was a triply number; because we got 15 as the answer in the second step it is a triply number).

24 = 2 x 4 = 8

8 x 3 = 24  

so we got 24 as the answer again in the second step which means that 24 is a triply number.

In short, you multiply the digits in the number then whatever you get as the answer you multiply it by 3. if you get the digits from te number that you multiplied then you know that number is a triply number. from the number 10 to 99 there are ONLY 2 NUMBERS. I saw people only give 2 numbers online and i was like why does no one give all the triply but in reality there are only 2 triply numbers which are 2 digits. You can check for yourself if you dont believe me using the method above. Thank you! I hope it helped if it helped please give me a thumbs up!

We will find that the "triply" numbers are:

-15, 15, -24, 24.

How to find the "triply" numbers?

We know that these aer two-digit numbers, so we can write them as:

a*10 + b

Where a and b are single-digit numbers.

A "triply" number is equal to 3 times the product of its digits, then we must have:

a*10 + b = 3*(a*b)

Moving all to one side, we have:

10a + b + 3ab = 0

So a "triply" number must meet the above criteria.

Now, the values that can take b are all the single-digit values {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

So now we need to evaluate b and find the possible vales of a.

if b = 0, then:

10*a + 0 - 3*a*0 = 0

10*a = 0

Then a = 0, but this will not give a 2-digit number.

if b = 1 then:

10*a + 1 - 3*a*1 = 0

10*a - 3a = -1

7*a = -1

a = -1/7

This is not a single-digit number.

if b = 2

10*a + 2 - 3*2*a = 0

4*a = -2

a = -2/4

This is not a single-digit number.

if b = 3

10*a + 3 - 3*3*a = 0

a = -3

a should be positive.

if b = 4 we have:

10a + 4 - 12a = 0

-2a = -4

a = -4/-2 = 2

So this gives the number 24.

if b = 5 we have

10a + 5 - 15a = 0

-5a = -5

a = -5/-5 = 1

So this gives the number 15

if b = 6

10a + 6 - 18a = 0

-8a = -6

a = -6/-8

This is not a single-digit.

if b = 7

10a + 7 -21a = 0

-11a = -7

a = -7/-11

At this point we can see that for larger values of a, we will not get more tripply numbers.

So the only "triply" numbers are: 15 and 24 (and their opposites, -15 and -24).

If you want to learn more about evaluating equations, you can read:

https://brainly.com/question/4344214

Solve for X. Plz I can't figure it outtt!

Answers

9514 1404 393

Answer:

  x = 40

Step-by-step explanation:

The angle bisector divides corresponding sides proportionally.

  x/16 = 25/10

  x = 16(25/10) . . . . . multiply by 16

  x = 40

What is 8+29 and 1+4

Answers

Answer:

37 and 5

Step-by-step explanation:

8+29=37

1+4=5

Answer:

8+29 is 37. And 1+4 is 5. add them together and you get 42.

Step-by-step explanation:

You deposit 500 in a savings account that earns 9% annual interest compounded monthly. Enter a function that represents the balance y (in dollars) after t years

Answers

Answer: y = 500 * ( 1 + 0.75%) ^ (t * 12)

Step-by-step explanation:

Formula for calculating the amount of money in an account as a result of compound interest is:

Balance = Amount * ( 1 + rate) ^ no. of periods

This interest is compounded monthly so has to be converted to a monthly rate:

= 9% / 12

= 0.75%

t is in years so has to be converted as well to months:

= t * 12 months

Function is therefore:

y = 500 * ( 1 + 0.75%) ^ (t * 12)

Please help me ASAP.

Answers

Answer:

D

Step-by-step explanation:

Need help Pls answer if you know.....

Nancy wants to be a bird seed mix in her birdfeeder. The mix is 30% wild bird seed and 70% sunflower seeds. Her bird feeder can hold 12 cups of bird seed. How much wild bird seed does she need to fill the birdfeeder?

Answers

Answer:

3.6 cups of wild bird seed

Step-by-step explanation:

30% x 12 cups

12 * .3

= 3.6

please help me with these questions!!!!!!

Answers

Step-by-step explanation:

jdjdjcycyehvwjduuxjsjsjdudu

"Please help!" Find the range of the data in the box plot below.

Answers

Answer:

12

Step-by-step explanation:

the range is the difference between the highest and lowest data value

the lowest data value is zero and the highest is twelve

9 4/5 - 1 2/3 please helpp

Answers

The answer is 8 2/15 yw :)

Answer:

[tex]8\frac{2}{15}[/tex]

Step-by-step explanation:

[tex]9\frac{4}{5} -1\frac{2}{3} \\\\\frac{49}{5} -\frac{5}{3} \\\\\frac{147}{15} -\frac{25}{15} \\\\\frac{122}{15} =8\frac{2}{15}[/tex]

Which of the following expressions is equivalent to: -5.4 – 11.1 + 30 – 12.6 – 4.2.
answer please

Answers

Answer:

-3.3

Hope this helps :D

find lowest common factor multiply of 12 and 36​

Answers

Answer:

12

Step-by-step explanation:

-5
for
f(x) =
- 4 < x < 1
1 - X – 5
for

Answers

Answer:

the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

·

20 votes:

To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

·

20 votes:

To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

·

20 votes:

To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

·

20 votes:

To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

·

20 votes:

To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

·

20 votes:

To answer this item, we let n be the number of hours that a person spend on th the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

·

20 votes:

To answer this item, we let n be the number of hours that a person spend on th

Step-by-step explanation:

PLS HELP ME I WILL GOVE YOU BRAINLIEST!

Answers

Answer:

15.7 ft

Step-by-step explanation:

You need to find the circumference.

C= 2πr

r= 2.5

C= 2π2.5

C= 15.7 ft

$750 at 6% for 3 years

Answers

Answer:

This is your answer ☺️☺️

What’s the answer plz help

Answers

Answer:

higt

Step-by-step hexplanation:i

Susan bought 12 colored pencils. Of these pencils, 1/2 were red, and 1/3 were green. How many more red pencils than green pencils did Susan buy

Answers

Answer:

2 more red pencils than green

Step-by-step explanation:

1/2 of 12 is 6

1/3 of 12 is 4

6-4=2

Answer:

Susan bought 2 more red pencils then green one.

Step-by-step explanation:

for red pencils: 1/2 of 12 is 6

for green pencils: 1/3 of 12 is 4

end result: 6-4 is 2

A storage shed is a rectangular prism and has dimensions of 6 meters by 5 meters by 12 meters. If Jean were to double these dimensions, she believes she would only double the volume. Is she correct? Explain why or why not. Include a drawing in your explanation.

Answers

Answer:

Hence doubling the dimension gives a volume greater than doubling the original volume.

Step-by-step explanation:

Given The dimension :

Original dimension : 6 meters by 5 meters by 12 meters

Volume of original dimension :

6 * 5 * 12 = 360 m³

If dimension is doubled :

2 * 6 = 12

2 * 5 = 10

2 * 12 = 24

Volume = (12 * 10 * 24) = 2880 m³

2 * original volume = 2 * 360 = 720 m³

Hence doubling the dimension gives a volume greater than doubling the original volume.

What is 0.68 multiplied by 675?!!!?

Answers

Answer:

459

Step-by-step explanation:

Hope this helped!

A passenger train has tickets available for 12 window seats and 8 aisle seats. The next person to buy a ticket will be randomly assigned to one of
those seats. What is the probability that the next person will be assigned to an aisle
seat?

Answers

Answer:

2/5

Step-by-step explanation:

There is an 8/20 chance that the next person will receive a window seat. You simplify that probability to get your answer. 8/20 becomes 2/5. So the answer is 2/5.

Hurry please!!!!!

Andrea wrote a check for $270. She also made two withdrawals of $80
each. Write the total change to her account balance as an integer.

Answers

Answer:

110$ left in her bank account

Step-by-step explanation:

first you do 80×2=160 then you would do 270-160=110 sorry if this is not the right answer but I did try to help you!

Question #4. A $25 baseball hat is on sale for 25% off. What is the sale
price?

Answers

18.75 sale price hope this helped

the sale price is $18.75

Rita drew a scale drawing of a picnic area near the river. The picnic area, which is 135 yards long in real life, is 15 inches long in the drawing. What scale did Rita use for the drawing?

Answers

Answer: 1 inch = 9 yards

Step-by-step explanation:

From the question, we are informed that Rita drew a scale drawing of a picnic area near the river and that the picnic area, which is 135 yards long in real life, is 15 inches long in the drawing.

From the above, we can see that for every 1 inch, there are (135/15) = 9 yards. Therefore, the scale used Is:

1 inch = 9 yards

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!​

Answers

Answer:

[tex] \sqrt{193} [/tex]

Step-by-step explanation:

Given,

Height of the triangle = 7

Base of the triangle = 12

Hypotenuse of the triangle = x

Therefore, According to Pythagoras Theorem,

[tex] {(hypotenuse)}^{2} = {(base)}^{2} + {(height)}^{2} [/tex]

[tex] {x}^{2} = {12}^{2} + {7}^{2} [/tex]

[tex] = > {x}^{2} = 144 + 49[/tex]

[tex] = > {x}^{2} = 193[/tex]

[tex] = > x = \sqrt{193} (ans)[/tex]

Other Questions
the monsoons... do what Which term refers to the way an artist arranges the elements in an artwork?A) resourceB) guideC) compositionD) style Help me with this pls I need help, image should be attached Please answer this math problem soon! No need for an explanation 2. A mixture of mercury and copper is an example ofa) solid and solidb) liquid and solidc) solid and liquidd) liquid and liquid In 2008, the world record for swimming the 50 meter freestyle event was 21.34 seconds. Supposing the athlete swam at a constant rate what was his speed? Round your answer to the nearest hundredth m/s. three ways that a teen can support a family member in need? On January 1, the company purchased equipment that cost $10,000. The equipment is expected to be worth about (or has a salvage value of) $1,000 at the end of its useful life in five years. The company uses straight-line depreciation. It has not recorded any adjustments relating to this equipment during the current year. Required:Complete the necessary December 31 journal entry. 1. Which statement is NOT true about chemical and physical changes?A. Chemical and physical changes could produce precipitates.B. Chemical changes produce new substances, but physical changes do not.C. Physical changes use energy transferred as heat, but chemical changes do not.D. Physical and chemical changes could require days for their effects to be noticeable. Select the correct answer.Which description best defines the word omission?A. leaving out lengthy explanations to establish contextB. adding extra information to bolster a claimC. leaving out important facts to mislead readersD. removing full citations of sources HELP NOW !!!! WILL MARK BRAINLIESTAn inference is directly written in the text. True FalseAn inference is something that you think is true based on information that you have. True False Please help me do it on a paper.Ladder method for 5, 8 , 10 In your explanation, include:Identify organs of the urinary system.Relate the organs with theirfunctions. The material this system uses tomaintain balance in the body. No longer pink, hes red, blood-orange red like a ripe papaya.Can someone tel me whether this is a metaphor or simile?Or if its neither, what kind figure of speech is it? What question was the researchers trying to answer? The normal condition of all the territory of the United States is that of freedom. That as our Republican fathers, when they had abolished slavery in all our national [western] territory, ordained that no person should be deprived of life, liberty or property, without due process of law, it becomes our duty by legislation, whenever such legislation is necessary, to maintain this provision of the Constitution against all attempts to violate it; and we deny the authority of Congress, of a territorial legislature, or of any individuals, to give legal existence to slavery in any territory of the United States.Question: Republicans asserted that political leaders could not give legal existence to slavery in any territory of the United States in order to express opposition against the aremoval of American Indians from their homelands bidea of popular sovereignty exemplified by the Kansas-Nebraska Act capplication of California for statehood drecruitment of laborers for Northern factories An electric motor supplies 2,500 Watts of power in a 220 V circuit. What is the resistance of the motor? Be sure to include the proper units in your answer. Remember... is the unit for Resistance. (Need help) (ASAP) Point: 18 A habitat that receives little or no precipitation will most likely be suitable for organisms that - spend most of the day in the sunlight.are covered in thick fur to keep warm.store large quantities of water internally.hibernate for long periods of time.