Mike bulit a sand casitle that mersured 54 inches by 77 inches and dug a moat aorund it afterward, he decided to change the size, making it 112 inches by 38 inches how much longer wil the new moat be than the old one?

Answers

Answer 1

Step-by-step explanation:

Initial dimension of a sand castle is 54 inches by 77 inches. Mike decided to change the size, making it 112 inches by 38 inches.

He wanted to dug a moat around it.

The perimeter of moat with initial dimensions,

P = 2(54+77)

= 262 inches

The perimeter of moat with new dimensions,

P = 2(112+38)

= 300 inches

Difference in perimeter = 300 - 262

= 38 inches

Hence, the new dimension is 38 inches longer than the initial dimensions.


Related Questions

Drake needs to drill holes in a wooden plank. The holes will have a diameter of 0.5 millimeters, with an error allowance of 0.05 millimeters. Which equation can be used to find the minimum and maximum acceptable diameters?

Answers

Answer:

 |x − 0.5| = 0.05

Step-by-step explanation:

Here x represents the diameter,

Since, an error of 0.05 millimeters is allowance in diameter,

Thus, the maximum acceptable diameter = x + 0.05,

And, the minimum acceptable diameter = x - 0.05

According to the question,

The holes will have a diameter of 0.5 millimeters,

Thus, x - 0.05 < 0.5  and 0.5 < x + 0.05

⇒ x - 0.5 < 0.05 and x - 0.5 > - 0.05  

⇒ x - 0.5 < 0.05 and -(x -0.5) < 0.05

⇒ |x-0.5| < 0.05

⇒ Option D is correct.

Describe and correct the error a student made when graphing the linear equation y=−
3
4x−6.

Answers

Answer:

In step 1 the y-intercept should be plotted at (0,-6)

Step-by-step explanation:

Remember that to find the Y intercept in any linear equation you need to use 0 as your X value, this means taking the formula in the y=mx+b form and replacing X with a 0.

Since the formula is y = -3/4x -6

We just insert a 0 insted of the "x"

y = -3/4(0) -6

y=0-6

y=6

So the y-intercept sould be placed in (0,-6)

That's what he did wrong when graphing the equation.

Step-by-step explanation:

https://brainly.com/question/18374630

ted's company has recieved an order to print 10^6 pages. ted's company has 100 machines , each of which can print 10^4 pages a day. ted's company can print the 10^6 pages in blank.
in exponent form, this number of days can be represented as blank

Answers

Answer:

1 day ; 10^0

Step-by-step explanation:

Given that:

Order received = 10^6 pages

Number of machines = 100

Daily printing capability by each machine = 10^4

Hence, total output per day = (10^4) * 100 = 10^4 * 10^2 = 10^4+2 = 10^6

Number of days required = number of order / daily output

Number of days = 10^6 / 10^6 = 1

In exponent form:

10^6 / 10^6 = 10^6-6 = 10^0

PLEASE ANSWER ASAP FOR BRAINLEST!!!!
The length of a side of an equilateral triangle is x - 4.5. Write 2 equivalent expressions, one as a sum and one as a product.

Answers

Answer:

see explanation

Step-by-step explanation:

Writing an expression for the perimeter (P) of the triangle

P = x - 4.5 + x - 4.5 + x - 4.5 ← as a sum

P = 3(x - 4.5) ← as a product

The wholesale price (the price the store pays) for a PS5 controller is $56.00. The store then marks up the wholesale price by 24%. What is the sale price of the controller at the store?

Answers

$69.44
56 x .24 = 13.44
56 + 13.44 = 69.44

For what value of k does the equation 5x – 32 = kx + 3 have no solution?​

Answers

Step-by-step explanation:

5x - 32 = kx + 3

(5 - k)x = 35

This equation fails when (5 - k) = 0, or k = 5.

Please help in this question with explanation. pls​

Answers

Answer:

V = x³ - 3x² + 3x - 1

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ( s is the measure of the side )

Here s = x - 1 , thus

V = (x - 1)³

   = (x - 1)(x - 1)(x - 1) ← expand the second pair using FOIL

   = (x - 1)(x² - 2x + 1) ← distribute

   = x³ - 2x² + x - x² + 2x - 1 ← collect like terms

   = x³ - 3x² + 3x - 1

Myra can spend no more than $150 on office supplies. Paper costs $2.50 a pack and shipping is $10.

Use x to represent paper, write an inequality to model the situation

Answers

Answer:

150[tex]\geq[/tex] 2.50x + 10

Step-by-step explanation:

It's 10 dollars for shipping. Then it is 2.50 times the amount of paper she chooses to by but it cannot be more 150.

a triangle has side lengths 6,11 and 14. Is it acute, obtuse or right

Answers

Answer:

acute

Step-by-step explanation:

sorry if im wrong how I did it is on a paper or create a picture in your mind have a good night if you have a question please ask away in the comments

This triangle is obtuse.

What is right triangle?

Triangle is defined as a triangle which one angle is a right angle or two sides are perpendicular.

Let a = 6 ,b = 11 & c = 14 be the sides of a traingle, c being longest of three

If a²+b²=c² it is right angled,

If a²+b²>c² it is acute,

If a²+b²<c² it is abtuse,

Substitue the values of a, b and c,

a²+b²= 6²+11² = 157

c² = 14² = 196

Since a²+b²<c²

Hence, this triangle is obtuse.

Learn more about right triangle

brainly.com/question/6322314

#SPJ2

I WILL MARK BRAINIEST
PLEASE HELP ASAP

Answers

Answer:

3

Step-by-step explanation:

math

6 lines in pretty sure this is the correct answer if not my apologies.

A lawn mower is advertised for 20% off the list price of $430.00. What is the sale price?

A
$516.00

B
$354.00

C
$344.00

D
$86.00

Answers

The answer c

20% of 340 you multiply the first digit of the percentage with the 2 numbers of 340

So 2 x 43= 86 that’s the discount

430-86=344 that’s the final price

Is 14/950 more or less than 1/2 and why!

Answers

Well because 14 is nowhere near half of 950 (which is 475), 1/2 is bigger. I hope this helped.

Solve for b.
b + 0.9 = 5.1
Enter your answer, as a decimal, in the box.

Answers

Answer:

4.2

Step-by-step explanation:

This one is pretty easy cause all you need to do is subtract 0.9 from 5.1

5.1 - 0.9 = 4.2

And to check it plug and play

4.2 + 0.9 = 5.1

Therefore, your answer is 4.2

Hope this helps <3

i need help please lol

Answers

Answer:

-2 + 6!

Step-by-step explanation:

Since the last two are negatives back to back, you change them to positive to make the problem easier! Anytime the last two signs are back to back negatives, you can do that, but never change the first sign!

I hope this helps!!

Answer: THE PINK ONE (-2+6)

Step-by-step explanation:  WE DID THIS IN MATH SO I KNOW. IT'S THE PINK ONE! (-2+6)

Which Exponentail expression represents The numerical expression 1/12 . 1/12 . 1/12 . 1/12?

Answers

Answer:

1/12^4 the for is small and raised

Step-by-step explanation:

please help me !!!!!!!!!!!!!!!!

Answers

5Step-by-step explanation:

Please help! the photo is below

Answers

I believe it is 8.......

Answer:

8 Green beads

Step-by-step explanation:

12 divided by 3 = 4

4 times 2 = 8

8747464647396497346585764868738763897645487248737563847538763487Times 32878937498374398487937498743749873928742398787429837429374328947 100 points to correct awnser pls dont report me good luck

Answers

Answer:

2.876073e+128

Step-by-step explanation:

your welcome

Answer:

2.876073e+128

Step-by-step explanation:

8747464647396497346585764868738763897645487248737563847538763487Times 32878937498374398487937498743749873928742398787429837429374328947 = 2.876073e+128

What is the answer? Please Answer it?

Answers

Answer:

2, 5

Step-by-step explanation:

hope this helps

please mark me brainliest

A car has 15 gallons of gas in its tank. The car travels 35 miles per gallon of gas. It uses 1/35 of a gallon of gas to go 1 mile.


How far can the car travel with 15 gallons? Show your reasoning.

How much gas does the car use to go 100 miles? Show your reasoning.


HELP ME PLEASE THIS QUESTION IS WORTH 65% OF MY GRADE!!!!

Answers

Answer:

20 gallons hope this helped

Plz help plzzz this is due today just plz help me and I will give brainliest

Answers

Answer:

18(2+3)

1.375 liters

Step-by-step explanation:

GCF is 18.

18(2+3)

2.5-1.125 which is 1.375

Hope this helps Merry Christmas!

Ms. Raab and Ms. Levy both drink coffee in the
mornings.
Ms. Raab adds 1 more teaspoon to each cup of
coffee than Ms. Levy. Together, they both add 5
teaspoons of sugar to their coffees.
How many teaspoons of sugar does Ms. Raab add?
How many teaspoons does Ms. Levy add?
Set up an equation to show this, and then solve.

Answers

Answer:

Ms Levy = 2

Ms Rabb = 3

Step-by-step explanation:

Let :

Number of teaspoons taken by Ms Levy = x

Number of teaspoons taken by Ms Rabb = x + 1

Total number of teaspoons taken by both = 5

(Number of teaspoons taken by Ms Rabb + Number of teaspoons taken by Ms Levy) = total number of teaspoons taken

x + 1 + x = 5

2x + 1 = 5

2x = 5 - 1

2x = 4

x = 4/2

x = 2

Hence,

Number of teaspoons of sugar added by Ms Levy = x = 2

Number of teaspoons of sugar added by Ms Rabb = x + 1 = 2 + 1 = 3

A car salesman has a salary of $600 a week. He also earns a 25% commission on the profit of his total sales. One week, he sold several vehicles for a final profit of $8500. How much money will he make that week in total.

Answers

Answer: 2725$

Explanation:

Profit = 600$ + (8500 x 25/100)
= 600$ + 2125$
= 2725$

600$ is his salary for every week
25% commission for total sales and in that particular week his total sales were 8500$ therefore he earns 25% of that total sales.

pls help needed asap

Answers

Ok it’s 135 yw if it’s wrong sorry

Find the complete factored form of the
polynomial:
-9a666 - 12ab6
Enter the correct answer.
000G
DONE
Clear all
GE

Answers

Answer:

 (0 -  (9 • (a^666))) -  (22•3ab^6)

 (0 -  32a^666) -  (22•3ab^6)

  -12ab^6 - 9a^666  =   -3a • (4b^6 + 3a^665)

Final result :

 -3a • (4b^6 + 3a^665)

Step-by-step explanation:

Write a rule relating to the minutes, x, to the number of pages, y. Then find the number of pages when the minutes equal 72.

Answers

Answer:

y=3 1/3x

This is because x number of minutes times 3 and 1/3 is equal to y or the number of pages. Substitute the value of x to find the answer to the second question:

y= 3 1/3 * 72

Kamal got married 5 years ago. Today his age is 1 1/4 times his age at the time of marriage. His sons age is 1/10 times his present age. What is hisson's age ?

Answers

Answer:Son's age =2.5 years old

Step-by-step explanation:

Step 1

Let the  age of Kamla at marriage be represented as  x

Age after five  years = x+5

Given that today his  age is 1 1/4  times his age at marriage, Our equation to express his age  at marriage will be

x+ 5= (5/4)x

Multiplying 4 by both sides gives

4(x+5) = (5/4 x 4 )x

4x+20 = 5x

20=5x-4x

x= 20 years at Marriage

Therefore his present age = 20+5= 25

Step 2

Son' s age = 1/10 times his present age

Son's age = 1/10 x 25= 2.5 years old

factor 64x² + 114x + 81
um idk how to do these and I'm not gonna learn please help. also I'm gonna have a lot more like this so if you can go through my questions and answer them if you know how... that would be great :)

Answers

The answer is 64x^2+114x+81. Hope this helps.

Which number line shows the solution set for [n]< or equal to 2

Answers

no number line is shown so this answer is improvible

Convert 0.008 to a percentage???

working out pleaseeee brainlest

Answers

Answer:

0.8%

Step-by-step explanation:

8/1000 x 100%

8/10 = 0.8% or 4/5%

Answer:

0.8%

Step-by-step explanation:

it is the answer answer

Other Questions
28/n=7/9 help me with this Early colonists in New Netherland were most interested infarming.trading.exploring.laboring. Question 10 of 10Which would not be a step in solving 5x + 15 + 2x = 24 + 4X?A. Collect variable terms on one side.OB. Isolate the variable.C. Use the distributive property. D. Collect like terms.SUBMIT Does someone know this I really need help Plsss help meeee :)) Assume that producers in an ecosystem have 1,000,000 kilocalories of energy. How much energy is available to primary consumers?this is the only question i dont understand on my worksheet please hellp The increase in government spending on unemployment insurance payments to workers who lose their jobs during a recession and the decrease in government spending on unemployment insurance payments to workers during an expansion is an example of what is the mass in grams of 120 liters at STP oh He gas Identify which characteristic describes common stock (CS) or preferred stock (PS) financing. May have cumulative and participating features. May be convertible into another type of security. Last to receive distribution of assets in the event of bankruptcy and liquidation. Places minimum operating constraints on the firm. Group of answer choices 1 i got in trouble look i said "Do i have mass 100 points" Hi there!We've noticed that you've been posting content that goes against our guidelines. As a reminder, we do not permit questions that are from quizzes, tests, and exams. Academic dishonesty is not tolerated. Please only post school related questions. Violating these guidelines has resulted in a warning applied to your account.Visit the link below if you have questions. Thanks!https://brainly.zendesk.com/hc/en-us/articles/360011207279-Academic-IntegrityPlease do not respond to this automatic message. Questlon 9 of 24Which of the following is the best reason for a reader to understand thebackground of the author who wrote a story?OA To know the author's family treeOB. To determine when and where the author was bornOC. To understand the story in a new wayOD To answer trvia questions about the author "Since the eighteenth century, the popular spirit of each succeeding age has tended more and more to the view that the ills and mysteries of life will eventually fall before the scientific advances of man, a belief that is still going strong even though this is the first generation to face total extinction because of these advances." What social and cultural conflict is O'Connor describing? a. Science vs. Religion c. Past vs. the Present b. Technology vs. People d. Science vs. the Future Write A Paragraph Using Time, Days Of The Week, And Months Of The Year In Spanish Please help! the photo is below what is meant by momentum? Blast furnaces extra pure iron from the iron(III) oxide in iron ore in a two step sequence. In the first step, carbon and oxygen react to form carbon monoxide: 2C + O2--------- 2CO In the second step, iron(III) oxide and carbon monoxide react to form iron and carbon dioxide: Fe2O3 + 3CO ------- 2Fe + 3CO2Suppose the yield of the first step is and the yield of the second step is 79%. Calculate the mass of oxygen required to make 10g of Iron. Be sure your answer has a unit symbol, if needed, and is rounded to the correct number of significant digits. compare and contrast the role of plants in the carbon and nitrogen cycle has a business selling perfume at the mall. Currently his business has abalance of -$20.Which amounts of sales would give Mason's business a positive balance?Choose ALL that apply.$29$19$21$30$35$15 50 points!!! If your good at math please help! :) will give brainlestY is directly related to X, and Y is 81 when X is 27.The constant of variation is ___(there are no answer choices, it's just a type in box so i need an exact answer please! :)) Why might immigrants migrate to the United States? List three reasons.