A flower garden is shaped like a circle. Its diameter is 40yd. A ring-shaped path goes around the garden. Its outer edge is a circle with diameter 48yd.
The gardener is going to cover the path with sand. If one bag of sand can cover 6yd^2, how many bags of sand does the gardener need? Note that sand comes only by the bag, so the number of bags must be a whole number. (Use the value 3.14 for pi number .)

Answers

Answer 1

Answer:

About 5 bags of sand

Step-by-step explanation:

1. Create Equation

[(48x3.14)-(40x3.14)]/6

2. Solve

[(48x3.14)-(40x3.14)]/6

[150.72-125.6]/6

25.12/6

Now if you use a calculater you will get

4.1866666667

So lets just round the number to 5 instead of

4 beacuse if we round it to 4 it won't be enough

to cover the whole path.

so your answer is 5


Related Questions

find a quadratic polynomial each with the given number as the sum and product of its zeros respectively
1/4 and 1​

Answers

Answer:

The answer is 4x² – x – 4 = 0

Step-by-step explanation:

1st Method Given;Sum of zeroes = α + β = (-b)/a = 1/4Product of zeros = αβ = c/a = 1

Where,

a = 4b = 1c = 4

So, one quadratic polynomial satisfying is given condition is 4x² x 4 = 0

2nd Method

Sum of zeroes = 1/4

Product of zeros = 1

Remember this formula

(α + β)x + αβ

x² – 1/4x + 1

4 x 4 = 0

Thus, The quadratic polynomial is

4x² – x – 4 = 0.


A right triangle has one angle that measures 60°. What is the measure of the other acute angle?

Answers

Answer:

  30°

Step-by-step explanation:

The angle sum theorem tells you the sum of angles in any triangle is 180°. A right triangle has one angle that is 90°, so the sum of the remaining two acute angles is 180° -90° = 90°. That is, the acute angles in a right triangle are complementary.

__

The other acute angle is ...

  90° -60° = 30°

PLEASE HELP ME

Directions: Construct a frequency distribution with six intervals for the given data below. Then determine the following: (10 points) a. Range b. Class size c. interval with highest frequency

Number of kilograms of rice consumed by 30 families in a month

60 33 21 57 24 54 52 50 42 60 20 39 23 42 29 46 40 25 38 35 43 35 38 38 28 58 20 ​

Answers

The frequency distribution table shows the distribution of the rice consumed by the families

The range is 40The class width is 7The interval with the highest frequency is 34 - 40

How to construct the frequency table?

From the question, we have the interval to be:

Interval = 6

Start by calculating the range

Range = Highest - Least

This gives

Range = 60 - 20

Range = 40

Calculate the class width

Width = Range/Interval

This gives

Width = 40/6

Width = 7

So, the classes are: 20 - 26, 27 - 33, 34 - 40, 41 - 47, 48 - 54 and 55 - 61

Using the above classes, we have the following frequency distribution table.

Class Frequency

20 - 26 6

27 - 33 3

34 - 40 7

41 - 47 4

48 - 54 3

55 - 61 4

From the above Frequency Distribution Table, the interval with the highest frequency is 34 - 40

Read more about Frequency Distribution Table at:

https://brainly.com/question/1094036

State six ordered pairs for this function
f(x)=.5x+3

Answers

(0,3) - The y-int, after you can just add 5 to the y-coord for each added 1 to the x-coord.

(1,8)

(2,13)

(3,18)

(4,23)

(5,28)

rectangular floor is 8 yd long and 3 yd wide. what is the area in square feet?​

Answers

Answer:

216 square feet

Step-by-step explanation:

First we must convert both dimensions to feet. 1 yd = 3 feet

8 yd = 24 feet and 3 yd = 9 feet

We got the yd by multiplying by 3 to get the number of fett.

Area of a rectangle = base * height

24 feet * 9 feet = 216 square feet

Please help i will give brainliest to the right answer

Answers

Step-by-step explanation:

Jacinta is completely right while Tess made a mistake on the 3rd step.

she mistakenly plugged in the y value as X, and plugged in the X value as y.

so Tess is incorrect

A dog eats 4 pounds of food per day. Write and evaluate an expression to find how many pounds of food does 10 dogs eat in 7 days.

15 pts and Brainiest for clearest ans.

Pls answer as soon as possible, but answer correctly and not for the points and be clear!

If there's a Tutor, pls answer.

Answers

So one dog = 4 pounds of food

So if you have 10 dogs you would multiply 10 by 4 to give you 40 which is how much they eat in one day.

Second you multiply 40 by 7 to 280 which is the amount fed over seven days.

10 x 4 = 40
40 x 7 = 280


I hope this helps:)

Resulting set please help !!!!

Answers

The union of X and Y is {a,e,i,o,u}, the intersection of X and Z is {i,o} and the intersection of all the three is {o}.

What is ordered pair?

The ordered pair is the pair of two numbers which represented in a manner that it provides a particular order.

In an order pair, the first term indicates the x-coordinate, while the second term indicate the y coordinates. The ordered pair are written in close bracket in the following way.

[tex](x,y)[/tex]

The given set is U(a,e,i,o,u), in which,

[tex]X=(a,i,o)\\Y=(o,e,u)\\Z=(i,o,u)[/tex]

[tex]X\cup Y[/tex]

For the union, write all the terms of  X and Y set.

[tex]X\cup Y=(a,e,i,o,u)[/tex]

[tex]X\cap Z[/tex]

For the intersection, write all the common terms of  X and Z set.

[tex]X\cap Z=(i,o)[/tex]

[tex]X\cap Y\cap Z[/tex]

For the intersection, write all the common terms of  X , Y and Z set.

[tex]X\cap Y\cap Z=(o)[/tex]

Hence, the union of X and Y is {a,e,i,o,u}, the intersection of X and Z is {i,o} and the intersection of all the three is {o}.

Learn more about the ordered pair here;

https://brainly.com/question/5754926

#SPJ1

Each hamburger patty is 1/8 pound. Drag the correct equation to each amount to show how many 1/8 pound hamburger patties can be made.

Answers

Answer:

For 3 pounds, 3 ÷ 1/8 = 54

For 7 pounds, 7 ÷ 1/8 = 56

Help me please. Again?

Answers

Answer:

See attached image.

Step-by-step explanation:

find the sum of the first 10 terms 125,50,20

Answers

Answer:

208.3

Step-by-step explanation:

Since the numbers are decreasing as multiples, its a geometric progression.

[tex]S_{n}=\frac{a(1-r^{n} )}{1-r} ; r\neq 1 \ and\ r \ is\ less\ than\ 1\\common\ ratio=\frac{20}{50}=\frac{2}{5}\\ S_{10}=\frac{125(1-(2/5)^{10} )}{1-(2/5)} \\=208.3[/tex]

Find the area
A. 775
B. 625
C. 475

Answers

Answer:

625 in²

Step-by-step explanation:

Area of the figure = Area of the rectangle + Area of the triangle

Finding the base of the triangle

b² = 25² - 15²b² = 625 - 225b² = 400b = 20 in.

Finding Area

A = 25 x 19 + 1/2 x 20 x 15A = 475 + 150A = 625 in²

Below are the score of 30 students in an oral interview. use the information to find the average score.
Score: 1 2 3 4 5
frequency: 7, 7, 7, 12, 3​

Answers

Step-by-step explanation:

the average score would be 3 i think

What is the median mean mode and range of 1,3,5,8,10?

Answers

Answer:

Below!

Step-by-step explanation:

Given data: 1, 3, 5, 8, 10

Determining the median of the data:

The median is the "middle number" of the data in ascending or descending order. In this case, the data is already in ascending form. Since the number of digits in the data is ODD, we will use to formula (n + 1)/2 (where "n" is the number of digits) to determine the median.

⇒ (n + 1)/2⇒ (5 + 1)/2⇒ (6)/2⇒ 3

Determining the mean of the data:

The mean of the data is the average number of the data (as said above). To determine the average number (mean), we need to sum the digits in the data and divide it by the total digits in the data. In this case, the sum of the digits in the data is 27 and the total digits in the data is 5.

⇒ Mean = (27)/5⇒ Mean = 5.4

Determining the mode of the data:

The mode of the data is the number that has repeated the most.

⇒ "1" has been repeated once⇒ "3" has been repeated once⇒ "5" has been repeated once⇒ "8" has been repeated once⇒ "10" has been repeated once

Since all the digits in the data has repeated once, all the numbers in the data (1, 3, 4, 8, 10) are the mode.

Determining the range of the data:

The range of the data is the difference of the largest and smallest number (As said above).

⇒ Range = Largest number - Smallest number⇒ Range = 10 - 1⇒ Range = 9

Answer:

Median: 5

Mean: 5.4

Mode: 1, 3, 5, 8, 10

Range: 9

Step-by-step explanation:

Median: the middle value.

Mean: the average (found by adding up all of the numbers and dividing them by the number of numbers in the data set).

Mode: the number that is most frequent.

Range: the difference between the biggest and smallest values.

First, make sure your data set is in numerical order: 1, 3, 5, 8, 10

Median: 5

1, 3, 5, 8, 10

Mean: 5.4
1 + 3 + 5 + 8 + 10 = 27

27/5 = 5.4

Mode: 1, 3, 5, 8, 10

1, 3, 5, 8, 10

All of them, as they all appear once.

Range: 9

10 - 1 = 9

Hope this helps!

Pleasez help i have to complete this by the end of the 10 min

Answers

Answer:

Step-by-step explanation:

red shirt: 10%

green shirt: 20%

not choosing white 10%

not chosing black 20%

where orange shirt???

kirsty and Flo are raising money for charity; Kirsty raises /ive times as much as Fio, Tiesa
amount they raise is £172.50. How much do they each raise?

THANK U

Answers

Answer:

Kirsty raised £143.75 and Flo raised £28.75

Step-by-step explanation:

x = money raised by Flo

5*x = money raised by Kirsty

6*x = money raised together

6x = £172.50

Now divide each side by 6:

x = £172.50:6

x = £28.75 (money raised by Flo)

£172.50-£ 28.75 = £143.75 (money raised by Kirsty)

Kirsty raised £143.75 and Flo raised £28.75

PLS PLS PLS PLS HELP ME I HAVE BEEN STUCK FOREVER!!!!

The sum of 3 consecutive integers is 96. Find the 3 integers. Show all work and label answer.

Answers

31+32+33 :) steps

add 31+32+33 to get 96
let x be the lowest integer
x + 1 is the second number
x + 2 is the last number

so, the equation would be:
x + x + 1 + x + 2=96

add together the x’s and numbers to get:
3x + 3 = 96

minus 3 from both sides:
3x=93

divide both sides by 3:

x=31


so, the first number is 31, then 32, and 33

hope this helped!!

Write an equation of the line in slope-intercept form: y-intercept of 2, x-intercept of 4

Answers

Answer:

[tex]\sf y=-\dfrac12x+2[/tex]

Step-by-step explanation:

y-intercept is when x = 0, so (0, 2)

x-intercept is when y = 0, so (4, 0)

[tex]\sf slope=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{0-2}{4-0}=-\dfrac12[/tex]

Slope-intercept form of linear equation:  [tex]\sf y=mx+b[/tex]

(where m is the slope and b is the y-intercept)

Given:

[tex]\sf m=-\dfrac12[/tex]b = 2

[tex]\sf \implies y=-\dfrac12x+2[/tex]

I need help with this please?

Answers

1320

Step-by-step explanation:

the triangle,1/2×15×20×2=300 .rectangle,17×25=425,20×17=340,15×17=255. sum them up 300+255+425+340=1320

Fill in the blank
The composite figure shown is made up of a cylinder and a
12 cm
4 cm
20 cm

Answers

Answer: cone

Step-by-step explanation:

The bottom figure is a cylinder. A cylinder is basically a rectangle wrapped around two circles.

The top figure is a cone. A cone’s net looks like a triangle with a curved base wrapped around a circle. If you don’t believe the top figure is a cone, think about what ice cream cones look like. The top figure is a cone.

Find the volume it’s homework I need help with

Answers

The answer is 1. 4x4x3 = 48 the whole volume 2. 48-4x2= 40.

I need help or my grade is going to go to a f-

Answers

Answer:

1

Step-by-step explanation:

65.751 = 6 x 10 + 5 x 1 + 7 x 1/10 + 5 x 1/100 + 1 x 1/1,000

6 x 10 = 60

5 x 1 = 5

7 x 1/10 = 0.7

5 x 1/100 = 0.05

1 x 1/1000 = 0.001

60 + 5 + 0.7 + 0.05 + 0.001 = 65.751

8) A company sells small and large photo books. Each page of a small photo book costs
the same. The table below shows the relationship between the number of pages in a
small photo book and the total cost of the photo book.
Part A) What is the cost per page for a small photo book?
Small Photo Book
Number of Pages
Total Cost ($)
30
20
32
48
57

Answers

The cost per page is $1.5 and 38 pages of the book will cost $57

Proportions

Data;

number of page = 20cost = $30

To solve this question, we have to know the cost of one page of the book.

In the first scenario, 20 pages cost $30, let's find the cost of one page here.

[tex]20 page = \$30\\1 page = x\\x = \frac{30}{20}\\x = 1.5[/tex]

We can confirm our answer here by testing with the second scenario;

[tex]32 page = \$48\\1page = y\\y = \frac{48}{32} = 1.5[/tex]

Now can say that one page of the book cost $1.5, let's divide 57 by this to determine the number of pages

[tex]z = \frac{57}{1.5} \\z = 38[/tex]

From the calculations above, 38 pages of the book will cost $57.

Learn more on proportions here;

https://brainly.com/question/18437927

help i dont know how to do this and i forgot the study guide

Answers

B is the right answer

I hope it will help you

A pet store has 11 ​puppies, including 5 ​poodles, 3 ​terriers, and 3 retrievers. If Rebecka and​ Aaron, in that​ order, each select one puppy at random without​ replacement, find the probability that Aaron selects a​ retriever, given that Rebecka selects a poodle.

Answers

Answer:  0.2066

Step-by-step explanation:

Probability of Rebecka selecting a poodle = 5/11

Probability of Aaron selecting a poodle = 5/11

Both select one puppy at random with replacement, so their choices are independent.

Thus, probability that both select a poodle = [tex](5/11)\times(5/11)[/tex]

[tex]= 25/121 \approx 0.2066 \ $or 20.66\%[/tex]

The set of numbers 1, 5, 13, and 24 contains values for m. What values of m makes the equation below true?

6m+12=42

Answers

Answer:

5

Step-by-step explanation:

Solve the equation first for "m"

6m + 12 = 42

6m = 30 (subtract 12)

m = 5 (Divide by 6)

5 is your answer

Hope this help! Please mark me brainliest, it helps!

Jason and his three friends went bowling. They bowled all afternoon and each paid $3.25 per game. Jason had a coupon for one free game. Three of his friends paid $2.75 each to rent shoes. Using this information, Jason writes the expression 3.25\left(g-1\right)+2.75\left(3\right). What does Jason’s expression represent? the number of friends who bowled the number of friends who bowled the number of games Jason and his friends bowled the number of games Jason and his friends bowled the amount of money Jason saved using the coupon the amount of money Jason saved using the coupon the amount of money Jason and his friends spent that afternoon

Answers

The expression 3.25(g-1) + 2.75(3) by Jason and his friends is a linear expression

The number of friends who bowled is 3The number of games Jason and his friends bowled is gThe amount of money Jason saved using the coupon is 3.25 The amount of money Jason and his friends spent that afternoon is 3.25(g-1) + 2.75(3)

How to interpret the expression?

The expression is given as:

3.25(g-1) + 2.75(3)

The above expression means that:

-1 represents the coupon on one free game3.25 represents the amount paid per game2.75 represents the amount paid to rent a shoe3 represesents the number of shoes they rent

Read more about linear expressions at:

https://brainly.com/question/14323743

The radius of the circle with a central angle of 138° that intercepts an arc with length 9 miles is miles?

Answers

Step-by-step explanation:

\begin{gathered}x^2 + y^2 + 17 = 138\\x^2 + y^2 = 138 - 17\\x^2 + y^2 = 121\\x^2 + y^2 = 11^2\\Radius = 11\end{gathered}

x

2

+y

2

+17=138

x

2

+y

2

=138−17

x

2

+y

2

=121

x

2

+y

2

=11

2

Radius=11

Mr. Ferarra is planning a field trip to the history museum for all of the students at his middle school. The school's buses can only transport 144 students. Mr. Ferarra needs to rent more buses for the remaining 290 students.

Answers

Answer:

[tex]s - 144 = 290[/tex]

[tex]s = 434[/tex]

Step-by-step explanation:

the keyword is remaining. Meaning the teacher slready has 144 reserved but needs to get 290 spots more.

An ice cream store sells 2 drinks, in 4 sizes, and 6 flavors. In how many ways can a customer order a drink?
There are
ways that the customer can order a drink.

Answers

Answer:

Step-by-step explanation:

Drinks:

number of drinks - 2Number of sizes - 4Number of choices - 4 * 2 = 8

Answer: 8

Other Questions
write one paragraph with a minimum of five sentences what does kennedy say about the duties of individual american citizen If 25 a 9 b 3=75 and 15 a 6 b 2=45, then 16 a 8 b 2=? Gary was browsing through a programming website currently on prog. Edu/homepage. Html. There were few related links on the page. He clicked on a link that had the term "Learn Testing. " This link led him a website called learntotest. Edu/learntesthome. Html. Which is the entry page in thiscase?A. Learntotest. Edu/learntesthome. Html. Learntotest. EduC. Prog. Edu/homepage. HtmlD. Prog. Edu 100 PTS!!A dilation with a scale factor of 4 is applied to the three line segments shown. The resulting images are PQ and AB and MN. Drag and drop the measure to correctly match the lights of the images.PQ ->AB->MN->Choices: 0.375cm, 0.5cm, 0.75cm, 6cm, 8cm, 12cm. Find the magnitude of the two pulling forces P and Q when their resultant is 50 N at 20 with Q. P 20 standard currency system of weights and measures postal system population census The items in the list began during the A. Han Dynasty. B. Qin Dynasty. C. Zhou Dynasty. D. Wu Dynasty. The change in enthalpy that occurs in the process of converting reactants to products in a chemical reaction is called the _____ of reaction. Kurtis is watching a movie. The movie lasts 280 min. Kurtis has watched 30% of the movie so far. How many minutes of the movie has Kurtis watched? Show your Work. i will marke brainliest. what is If 1=32=33=54=45=4Then, 6=?Heres a hint think about how many words are in the number when it is in word form Describe 3 details of the orbits of our planets. Make sure one of the details is about the inner planets and one of the details is about the outer planets. Please provide at least 3 complete sentences for your answer. * Can somebody tell me if this is right?? Richard hamilton was a(n) _________ artist. a. american b. british c. french d. canadian A store sells a package of 8 water bottles for $7.20.What is the price per water bottle? Roberto has by saltine crackers at the store. The label on the shelf for brand A says that its unit cost is $3.75/lb. Brand B says that its unit cost is $0.18/oz. Which is the better by? 4.Why was Georgia importantto the World War I effort?A The Lusitania was sunk justoff the coast of Georgia.B Georgia was the mostoutspoken state against thewar.C Many US Soldiers trainedin Georgia training camps.D The treaty that ended thewar was signed in Georgia. !!20 points and Brainliest please help!!!Which of the following could be factored by grouping?A) ab + ad - ac + aeB) ac + ad + bc - bdC) ab + cd ab + cdD) ac + ad + bc + bd 5) The Texas Hill Country, located in central Texas, is home to the Edwards Plateau ecoregion and Llano Uplift ecoregion. Since the Edwards Plateau is composed of large amounts of limestone rockformations with a vast underground cave system. What is likely the cause of the underground cave system?A) wind erosionB) chemical weatheringphysical-weatheringD) deposition and compaction how do I get help with my math work? Deneen sweeting was a defendant in the third circuit in 2000. what aspect of criminal law is his case about