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

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

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

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

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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.

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Trapezium, Parallelogram and Rhombus

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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

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Cylinder

Circles

Polygons

Rectangles and Squares

Trapezium, Parallelogram and Rhombus

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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.

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-254 minus -254 equals ?

Answers

Answer:

0

Step-by-step explanation:

They both cancel eachother out.

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

Answers

Answer:

Today: Monday, 12 October 2020

Hour: 13.35 WIB (in Indonesian)

_________________________

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

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

Answers

Answer:

36.25

Step-by-step explanation:

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

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)

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

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.


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.

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

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!!

I need help with my question

Answers

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

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.

(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)

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.

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:

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

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:

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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.

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

Answers

The answer is 12 in this problem

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 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

⚠️⚠️ 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:

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

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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 :)

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

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

WHAT DOES y= IxI mean

Answers

Answer:

it means the ratio of x

ex. |-5| = 5 and so on

|7|=7

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