The barrel of a fountain pen, cylindrical in shape, is 7 cm long and 5 mm in diameter. A full
barrel of ink in the pen is used up on writing 3300 words on an average. How many words can
be written in a bottle of ink containing one fifth of a litre?​

Answers

Answer 1

Answer:

480,000 words

Step-by-step explanation:

For barrel of pen:

h = 7 cm, d = 5 mm

r = 5/2 = 2.5 mm = 0.25 cm

[tex]Volume \: of \: barrel = \pi {r}^{2} h \\ \\ = \frac{22}{7} \times {(0.25)}^{2} \times 7 \\ \\ = 22 \times 0.0625 \\ \\ = 1.375 \: {cm}^{3} \\ \\ one \: fifth \: of \: a \: litre \\ = \frac{1}{5} \times 1000 \: ml \\ \\ = 200 \: ml \\ \\ = 200 \: {cm}^{3} \\ \\ no \: of \: words = \frac{3300 \times 200}{1.375} \\ \\ = \frac{660000}{1.375} \\ \\ = 480,000 \\ [/tex]


Related Questions

What is the mean of this set 18,21,20,14,17

Answers

Answer: 18

Step-by-step explanation:

Add them all up

18+21+20+14+17=90

Divide by 5 since that is how many numbers there are

90/5=18

Answer:

the mean is 18

Step-by-step explanation:

you add them all up and then divide by the number of numbers

18+21+20+14+17=90

90/5=18

hey diddle diddle the median is in the middle, you add and divide for the mean the mode is the one that appears the most and the range is the difference between.

Hope this helps!!

Question Progress
Factorise 3x^2+ 5x = 12

Answers

Answer:

(3x-4)(x+3) = 0

x = -3, 4/3

Step-by-step explanation:

3x^2 + 5x = 12

3x^2 + 5x - 12 = 0

(3x-4)(x+3) = 0

x = -3, 4/3

The following is the correct way to show the product for 0.297 times 7.1

Answers

Answer:

True

Step-by-step explanation:

True

No, This is not the correct way to solve the product of 0.297 and 7.1.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

To solve the product for 0.297 times 7.1.

So, The product for 0.297 times 7.1 is,

⇒ 0.297 × 7.1 = 2.1087

But here the product for 0.297 times 7.1 is 21.087.

So, This is not the correct way.

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

Shyann won 40 halloween candies playing the toss at her school's carnival. Later she gave three to each of her friends. She only has remaining. How many friends does she have?

Answers

Answer:

alot

Step-by-step explanation:

i cant understand this

Answer:

13

Step-by-step explanation:

13 times 3 = 39

40-39=1

The table represents a linear function.

[ x y ]
-----------
-2 8
-1 2
0 -4
1 -10
2 -16
-----------

What is the slope of the function?
–6
–4
4
6

Answers

Answer: -6

See attached picture

Is anyone able to help me with finding the volume of the triangular prism

Answers

Answer:

1296 m³

Step-by-step explanation:

Volume = area * height.

Take any of the given faces. I have taken 12m & 12 m.

Area of this face = 1/2 * 12m * 12m

= 72 m²

Height = 18 m.

Thus,

Volume = 72m² * 18m = 1296 m³

Solve the linear equation.
45 = -( 7x + 1) +4(-8x-8)​

Answers

Answer:

Today: Monday, 12 October 2020

Hour: 13.35 WIB (in Indonesian)

_________________________

Andre wants to buy a $230 MP3 player. He has $50 and will save $30 per month. Write an equation in slope intercept form to determine how much Andre will have to save.

Answers

Answer:

Step-by-step explanation:

A=230

230-50=180

He will have to save 180

He can save 180 in :

180:30=6 mounths

Answer:

y=30x+50

Step-by-step explanation:

he has a base number of 50 dollars starting out (b) and he will gain 30$ once a month (x)

Mr. Williams's class has 12 girls and 17 boys. He plans to randomly select one student to take notes each day for the class
notebook. If all students are present, what is the probability that he randomly selects a girl to take notes on the first day of
class?

Answers

Answer:

12/29 chance or 0.413793103

Step-by-step explanation:

12+17=29

17/29 boys

12/29 girls

i need help helping my brother asap

Evaluate the equation.

7.15e = 64.35
A. e = 8
B. e = 9
C. e = 460.0125
D. e = 460.1025

Answers

it would be B because 64.35/7.15=9 so e=9

Ricky is inviting 8 friends to a party. If each friend will get 6 cookies and in each box are 10 cookies, how many boxes will Ricky need to get?

Answers

Answer:

5

Step-by-step explanation:

8 times 6 is 48. 5 boxes times 10 in each one is 50 cookies.

Number of boxes Ricky needs to get to a party is equals to 5 boxes.

What is word problem?

" A word problem is a mathematical problem in which we represents the real life examples with the help of mathematical operation."

According to the question,

Number of friends invited in a party = 8

Number of cookies given to each friend = 6

Total number of cookies required for 8 friends = 8 × 6

                                                                             = 48 cookies

Number of cookies in each box = 10 cookies

Number of boxes for 1 cookie = 1 / 10

Number of boxes for 48 cookies = (1 / 10) × 48

                                                      =  4.8

                                                      = 5 boxes (Number of boxes cannot be    

                                                                             in decimals)

Hence, number of boxes Ricky needs to get to a party is equals to 5 boxes.

Learn more about word problem here

https://brainly.com/question/2610134

#SPJ2

⚠️⚠️ ANSWER PLEASE question in image ( please explain ? ? )⚠️⚠️

Answers

Answer:

i cant see the picture

Step-by-step explanation:

sowey

Answer:

(0,-2)

Step-by-step explanation:

here are 10 numbers 3 7 2 4 7 5 7 1 8 8

Answers

What’s the question to go with the 10 numbers.

2y + x + 7 = 0
how do i solve with substitution?

Answers

Answer:

x+2y=-7

Step-by-step explanation:

2y + x =-7

x+2y=-7

When solving for x, set y to 0. When solving for y, set x to zero. You can just isolate the variables from there.

You buy 70 of your favorite songs from a Web site that charges ​$0.99 for each song. What is the cost of 70 ​songs? Use mental math.

Answers

Answer:

69.3

Step-by-step explanation:

70-0.7

Answer:

$69.3

Step-by-step explanation:

I did mental math

De divided by f if d= -24 e= -4 f= 8

Answers

The answer is 12 in this problem

Can anybody help me please with question 2 please and thank you .I would really appreciate it so much. Please and thank you

Answers

Answer:

See below.

Step-by-step explanation:

See image for labels (labels are in blue).

  Statements:                                              Reasons:

1) [tex]T\text{ is the midpoint of } \overline{ZC}[/tex]                            Given

2) [tex]\overline{GT}\perp\overline{ZC}[/tex]                                                  Given

3) [tex]\angle GTZ\text{ and } \angle GTC\text{ are right angles}[/tex]          Def. of Perpendicular Lines

4) [tex]\overline{ZT}\cong\overline{TC}[/tex]                                                 Def. of Midpoint

5) [tex]\angle GTZ\cong\angle GTC[/tex]                                      Right Angles Are Congruent

6) [tex]\overline{TG}\cong\overline{TG}[/tex]                                                 Reflexive Property

7) [tex]\Delta TGZ\cong\Delta TGC[/tex]                                     SAS Congruence

And we're done!

Answer:

Sorry that looks a bit confusing though

Step-by-step explanation:

What is the solution to 4.1 x 6.5 + 7.6 + 2

Answers

Answer:

36.25

Step-by-step explanation:

WHAT DOES y= IxI mean

Answers

Answer:

it means the ratio of x

ex. |-5| = 5 and so on

|7|=7

Help pls


Part A: Show another way to find the slope of the line that passes through the points listed in the table. Your way must be different from Avery's method.

Answers

Step-by-step explanation:

Slope of line= (y2-y1)/(x2-x1)

= (45-18)/(20-8)

= 27/12

= 9/4

(5, -8) m = -3
Write an equation in point-slope form

Answers

Answer:

y + 8 = - 3(x - 5)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 3 and (a, b) = (5 - 8) , thus

y - (- 8) = - 3(x - 5) , that is

y + 8 = - 3(x - 5)

WILL MARK BRAINLIEST, PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER!!!


The equation for lines can be written as y = –6x + 2. Line t includes the point (–6, –7) and is perpendicular to line s. What is the equation of line t?

Answers

Answer:
y=1/6x-6

Explanation:
What we know:
- Equation for line S: y=-6x+2
- Line T is perpendicular to line S
- Line T passes through the point (-6,-7)

To find the answer, we would need to understand two things, the first being what exactly is going on with the equation: y=-6x+2.

It’s organized in slope-intercept form, which is y=mx+b. Here’s what the variables mean:

Y=the y variable
M=the slope
X=the x variable
B=the y-intercept (the point on the line that crosses the y axis)

Knowing this, we can look at the equation for line S again: y=-6x+2. -6 is the slope of line S and 2 is the y-intercept of line S.

The second thing we need to understand is that the slope of a second line that is perpendicular to the first line is equal to the NEGATIVE RECIPROCAL of the slope of the first line.

Reciprocal: the “flip” of a fraction where the denominator and the numerator switch places

So, for example, let’s say the slope of line A=6. The slope of the line perpendicular to line A would be -1/6.

Let’s try another example: the slope of line B=-4/5. The slope of the line perpendicular to line B would be 5/4 (because two negatives makes a positive)

And here, for your question, the slope of line S=-6. Therefore, the slope of line T would be 1/6.

Awesome! We found the slope, which means so far, the equation of line T looks like this:

y=1/6x+b

All we need now is the y-intercept, which is “b” in the equation y=mx+b.

To do this, we plug in the point that the question provided us, (-6,-7), and solve. We would plug in -7 as the y variable and -6 as the x variable.

y=1/6x+b
-7=1/6(-6)+b
1) multiply 1/6 and -6
-7=-1+b
2) add 1 to both sides of the equation to isolate b
-6=b

Aha! There we have it, -6 is the y-intercept of line T.

Now, we have completed our equation:

y=1/6x-6

I hope this helps! Please comment if you have any questions.


Find the Highest Common Factor of 120 and 150.

Answers

Answer:

30

Step-by-step explanation:

120 divided by 30 is 4, and 150 divided by 30 is 5.

Answer: What is the greatest common factor of 120 and 150? The greatest common factor of 120 and 150 is 30, because 30 is the highest number that is divisible by both numbers.

I need help with my question

Answers

I think it’s d! I’m not too sure but Ide do with d

the function f(x)=5(2)x represents number of bacteria, f(x), growing in a culture after x hours. How many bacteria are in the culture after 3 hours?

Answers

Answer:  40

=============================================

Explanation:

Assuming the function is f(x) = 5(2)^x, then we replace every x with 3. Then we use the order of operations PEMDAS to simplify. Or we can use a calculator to simplify in one step.

f(x) = 5(2)^x

f(3) = 5(2)^3

f(3) = 5(8)

f(3) = 40

what is mensuration and give three common shapes and their diagrams​

Answers

Maths > Mensuration

Mensuration

Suppose you want to put a boundary around your garden or field. For that, you need to find out the length of the boundary. Also, what if you want to find out the area and volume of different geometrical shapes. So this is something we are going to see in his chapter. So let us study the topic mensuration and mensuration formulas in detail.

Cylinder

Circles

Polygons

Rectangles and Squares

Trapezium, Parallelogram and Rhombus

Area and Perimeter

Cube and Cuboid

Question. Explain the use of mensuration in daily life?

Answer. The uses of mensuration in real life are many. Some of these uses are as follows:

Measurement of agricultural fields, and site areas for the purpose of purchase/selling transactions.

Measurement of volumes for packaging solid food items, milk, and liquids.

Measurements of surface areas for the purpose of estimating the painting of houses etc.

Question. What is meant by mensuration?

Answer. Mensuration refers to the branch of mathematics which involves the study of various geometrical shapes. Furthermore, it deals with the areas and Volume of such geometrical figures. So, this subject is all about the process of measurement.

Question. Explain what is the volume in mensuration?

Maths > Mensuration

Mensuration

Suppose you want to put a boundary around your garden or field. For that, you need to find out the length of the boundary. Also, what if you want to find out the area and volume of different geometrical shapes. So this is something we are going to see in his chapter. So let us study the topic mensuration and mensuration formulas in detail.

Cylinder

Circles

Polygons

Rectangles and Squares

Trapezium, Parallelogram and Rhombus

Area and Perimeter

Cube and Cuboid

Question. Explain the use of mensuration in daily life?

Answer. The uses of mensuration in real life are many. Some of these uses are as follows:

Measurement of agricultural fields, and site areas for the purpose of purchase/selling transactions.

Measurement of volumes for packaging solid food items, milk, and liquids.

Measurements of surface areas for the purpose of estimating the painting of houses etc.

Question. What is meant by mensuration?

Answer. Mensuration refers to the branch of mathematics which involves the study of various geometrical shapes. Furthermore, it deals with the areas and Volume of such geometrical figures. So, this subject is all about the process of measurement.

Question. Explain what is the volume in mensuration?

Answer. Any solid occupies some region in space. Furthermore, the magnitude of this region is known as the volume of the solid. A standard unit of volume happens to be the cubic centimetre.

Question. What do we understand by mensuration formula?

Answer. A mensuration formula helps in computing the length-related properties of an object. This computation takes place on the basis of known lengths, areas, etc. Beyer (1987) came forward with a collection of mensuration formulas for the various plane and geometric figures. properties of an object. This computation takes place on the basis of known lengths, areas, etc. Beyer (1987) came forward with a collection of mensuration formulas for the various plane and geometric figures.

Identify the written form of this number: 4,812,000. A. four hundred thousand, eight hundred twelve B. four thousand and eight hundred twelfths C. four million, eight hundred twelve thousand D. four billion, eight hundred twelve million Help please

Answers

Answer: C. four million, eight hundred and twelve thousand

Step-by-step explanation:

4,812,000.

When a figure consists of 7 numbers, it is regarded as millions. For example, 8,000,000 is right million on words.

4,812,000 will therefore be called four million, eight hundred and twelve thousand.

-254 minus -254 equals ?

Answers

Answer:

0

Step-by-step explanation:

They both cancel eachother out.

Show work on y=-4x-1
Find the slope

Answers

m=-4. Or atleast that’s what I’ve heard.

Mindy spent $6.24 for a new binder, $1.95 for a notebook, and $5.59 for a new pack
of her favorite mechanical pencils. Estimate ABOUT how much did she spend?

Answers

Answer:

$14.20

Step-by-step explanation;

Rounding

$6.24=$6.20

$1.95=$2.00

$5.59=$6.00

So now we have done our rounding, We just have to add them together now.

($6.20+$2.00+$6.00=$14.20)

Answer:

Mindy spent around $13

Step-by-step explanation:

I just added up all the whole numbers.

But I noticed that it is ALMOST $2 for a notebook.

So, even though the sum of all the whole numbers is 12, I assumed it would be more than 12.

So Mindy spent around $13

Hope I helped :)

Please consider Brainiest :)

Other Questions
Determine the intercepts of the line X-intercept: (__ , __)Y-intercept: (__, __) Dacosta Corporation had only one job in process on May 1. The job had been charged with $2,400 of direct materials, $6,966 of direct labor, and $10,104 of manufacturing overhead cost. The company assigns overhead cost to jobs using the predetermined overhead rate of $19.60 per direct labor-hour. During May, the following activity was recorded: Raw materials (all direct materials): Beginning balance $ 9,100 Purchased during the month $ 38,600 Used in production $ 39,900 Labor: Direct labor-hours worked during the month 2,500 Direct labor cost incurred $ 25,110 Actual manufacturing overhead costs incurred $ 33,900 Inventories: Raw materials, May 30 ? Work in process, May 30 $ 17,093 Work in process inventory on May 30 contains $3,849 of direct labor cost. Raw materials consist solely of items that are classified as direct materials. The cost of goods manufactured for May was: above it says find the missing angle measurement. You have just moved into a new apartment and are trying to arrange your bedroom. You would like to move your dresser of weight 3,500 N across the carpet to a spot 5 m away on the opposite wall. Hoping to just slide your dresser easily across the floor, you do not empty your clothes out of the drawers before trying to move it. You push with all your might but cannot move the dresser before becoming completely exhausted. How much work do you do on the dresser? You have just moved into a new apartment and are trying to arrange your bedroom. You would like to move your dresser of weight 3,500 across the carpet to a spot 5 away on the opposite wall. Hoping to just slide your dresser easily across the floor, you do not empty your clothes out of the drawers before trying to move it. You push with all your might but cannot move the dresser before becoming completely exhausted. How much work do you do on the dresser? W>1.75104J W=1.75104J 1.75104J>W>0J W=0J Hello please help will give brainliest! Jocko works for IBM, a publicly traded company that sponsors a stock bonus plan. Which of the following statements is not correct regarding the plan? a. If the distribution of IBM stock is made to Jocko in installments over a two year period, then the fair market value of all employer securities distributed in the installment distribution will be taxable as ordinary income. b. Jocko is permitted to vote the shares of IBM within his account. c. Upon termination, Jocko must be given the right to receive IBM stock held in the plan as part of a distribution. d. If Jocko has less than three years of service, he is permitted to diversify one-half of company match contributions that consist of IBM stock. the cuticle is made of a waxy material. suggest an advantage to a plant of this feature What is a government?A. a small group of people that bosses people aroundB. a single individual that orders other people aroundC. a an organized body of people that make laws for a nationD. a building Jefferson delays mentioning the American colonies until late in the introduction. How does this delay affect his argument? Check the two best answers.It draws readers into the argument and establishes that ideas apply to society.It prevents readers from quickly losing sympathy for the Americans.It engages readers by creating a sense of mystery about the Americans.It emphasizes that the principles involved are universal, not just American. How could pollutants be introduced into an ecosystem andwhat would be the effect be on an ecosystem?er notes If the north or south pole is facing (tilted toward) the sun, which season would you experience?A.Summer B.WinterC.SpringD.fall A racecar goes around a 400m track in 58 seconds, what is the speed and velocity? Matt is going to sign up for the "Fruit of the Month Club." He must pay a $25 enrollment fee, as well as $17 each month to continue his membership. He is going to stop receiving fruit once he has spent $280. Write the equation of this problem in Slope-Intercept form (hint: y=mx+b): How much as he spent on fruit after 5 months? In how many months until he has spent $280? Why did ancient west Africans believe in ancestor worshipA.they hoped to protect their ancestors B. They hope that their ancestors would be brought back to lifeC.They want to make sure that their ancestors were not lonely D. They thought that their ancestors had the power to help them I need help on this Which document was the first to guarantee citizens the right to bear arms?A.2nd Amendment to the United States ConstitutionB.The Articles of ConfederationC.The English Bill of RightsD.The Magna Carta SOMEONE PLEASE HELP ME IM STRUGGLING ON THIS PROBLEM 7 I NEED HELPPP Endpoint: (2,5) midpoint (3,4) Missing endpoint: Were Native American cultures complex societies? Explain it in 1 paragraph with evidence PLEASE HELP!!!!Will give you brainliest and 5 stars