A group of men decided to do a job in 8 days.
But since 10 men dropped out every day, the job
got completed at the end of the 12th day. How
many men were at the beginning?

Answers

Answer 1

Given :

A group of men decided to do a job in 8 days.

10 men dropped out every day, the job  got completed at the end of the 12th day.

To Find :

How  many men were at the beginning ?

Solution :

Let, total number of men initially are n.

It none of them leave, total work :

W = 8n    ...1)

It is given that 10 men are dropped each day it takes them 12 day to complete the work :

W = ( n ) + ( n - 10 ) + ( n - 20 ) +  ....   + ( n - 110 )

W = 12n - ( 0 + 10 + 20 + ...... + 110 )

W = 12n - 660    ...2)

Since, total work is same in both the cases, so equating both equation, we get :

12n - 660 = 8n

4n = 660

n = 165

Therefore, their are 165 men in the beginning.


Related Questions

what is the difference between multiplying fractions and adding/subtracting fractions? complete sentances pleaseo

Answers

Answer:

See explaination for answer! Hope this helps!

Step-by-step explanation:

When multiplying and deviding, you are raising them or lowering them by a certain degree, but adding or subtractions is just combining two fractions.

Just to quickly explain the "combining" aspect, during subraction, you are combining a positive with a negative.

help me plsssssssssssssssssssssss!

Answers

"Answer" and Explanation:

All I can tell is that x=60, and that the angle is also 60, since it is and equalateral triangle.  I can't see anything about sides lengths nor can I tell what 'side' means, so yeah that's all I can say.  Sorry that probably didn't help at all.  

In the diagram, triangle MNO maps to triangle M'N'O'.
Identify the corresponding angles.

Answers

Answer:

B and A

.......................

Answer:

M' and N'O'

Step-by-step explanation:

Miss Fallon wants to paint her classroom door in a checkerboard pattern. The door measures 96 inches in length and 36 inches in width. Determine the side length of the largest square they can use to fill the checkerboard pattern completely without overlap or gaps. Fill in the blank. The side length of the largest square they can use is _________ inches. (GCF)

Answers

Answer:The door mesures 96 inches in length and 36 inches in width

if u need a explenation you can ask me


what is the answer to this subtraction problem​

Answers

Answer:

i d k

Step-by-step explanation:

what is f?

(6f^2 - 9f + 10) - ( -2f^2 - f + 3)

So first, you have to distribute the minus in the middle. You ALWAYS have to. So when you do that, the minus changes to a plus, and everything on the right side of it changes from positive to negative or negative to positive. So it would turn into this -

(6f^2 - 9f + 10) + (2f^2 + f - 3)

Now, you can combine like terms. Add each one that matches. (Add the ones that have 1 f, or f^2)

Answer:
8f^2 - 8f + 7

choose two expression equivalent to 5 (3a+4b)

A. 15a + 4b
B 15a + 20b
C. 5a + 3a + 4b
D. 4a + 10a + b + 3b
E. 10a + 5a +b + 5b​

Answers

B
That the only answer choice I think

The expression equivalent to 5(3a+4b) is option (B) 15a+20b

What is Distributive property?

In mathematics, the distributive property of binary operations generalizes the distributive law, which asserts that the equality is always true in elementary algebra.

Given,

5(3a+4b)

Apply distributive property

5(3a+4b) = 15a + 20b

Hence, the expression equivalent to 5(3a+4b) is option (B) 15a+20b

Learn more about Distributive property here

https://brainly.com/question/5637942

#SPJ2

Is three fourths more than three eights

Answers

Answer:

yes

Step-by-step explanation:

not sure how to explain it's kinda hard sorry

Answer:

Yes

Step-by-step explanation:

please help me please

Answers

Answer:

It won't let me see the picture

Step-by-step explanation:

Multiply 5 or d. Dhbsjvbdnd

Please help, geometry homework. Answer true or false for the following statements. The ones that are marked “ T” or “ F “ are already done, if I am wrong, please let me know.

Answers

1. False
2. True
3. False
4. False
5. False


13. False
14. False

Given the triangle below, what is m

Answers

the answer is 80.6 :):):):):)

Item 1
Round 71.58043 to the nearest hundredth

Answers

Answer:

71.58

Step-by-step explanation:

What percentage is 20 of 92?

Answers

Answer:

21.72% is correct answer

Answer:

 

18.4

Step-by-step explanation:

if mia Khalifa was black what would her situation be

Answers

Answer:

i really don’t know

Step-by-step explanation:

that’s an interesting question

Answer:

i dont know but can we do rp on pad.let?

Step-by-step explanation:

Solve for x in the following equation: 4(-5x-6) = 4(9x+4)

Answers

Answer:

[tex] - 20x - 6 = 36x + 4 \\ 36x + 20x = - 6 - 4 \\ 56x = - 10 \\ x = \frac{ - 10}{56} \\ x = - 0.17571428[/tex]

ABCD is a parallelogram
M is the midpoint of CB
N is the midpoint of AB
DA = a
DC = c
a) find, in terms of a and c, the vector of MN
b) show that CA is parralel to MN

Answers

Answer:

Part a)

MN = 0.5a-0.5c

Part b)

MN=0.5a-0.5c

CA=a-c

CA is parallel to MN because 2×MN = CA.

Step-by-step explanation:

Part a = We know that ABCD is a parallelogram (stated), thus opposite sides must be equal. So given that DA = a, CB = a, DC = c, AB = C.

MN = MB+BN, so as M is the midpoint of CB then MB = 1/2 a and as we are going against AB (we are doing BN) then it will be -0.5c as N is the midpoint of AB.

Part B= More of a mathswatch error, where you have to quite literally put the precise answer. CA = CD+DA so -c (as we are going the opposite way to DC) + a.

CA = -c+a

Now CA is a multiple of MN. But Mathswatch prefers if you say that CA is parallel to MN because MN times 2 is equal to CA

In this exercise we have to use the knowledge of parallelogram and vectors to give the values ​​of each one of them, like this:

A) MN = 0.5a-0.5c

B)CA is parallel to MN because 2×MN = CA.

First, we have to remember the definition of parallelogram:

A polygon is any flat closed shape made of straight line segments. A parallelogram is a polygon with 4 sides in which sides that don't touch each other are parallel.

A) We know that ABCD is a parallelogram, thus opposite sides must be equal. So given that:

[tex]DA = a,\\CB = a, \\DC = c, \\AB = C.[/tex]

[tex]MN = MB+BN\\MB = 1/2\\BN=-0.5c\\MN = 0.5a-0.5c[/tex]

B)Where you have to quite literally put the precise answer, so we have that:

[tex]CA = CD+DA \\CD=-c\\DA=a\\CA = -c+a\\[/tex]

See more about parallelogram at brainly.com/question/555467

5 × 3/2, but the answer as a fraction ​

Answers

Answer:

15/2

Step-by-step explanation:

5/1 * 3/2 = 15/2

What is the midpoint of the segment shown below (3, 7) (2, -1)

Answers

Answer:

(3,7) (2,-1)

(y1,Y2K)(z1,z2)

(y2-y1)(z2-z1)

(7_3)(-1-2)

(4)(-3)

=-12

Emilia and Joshua shared some money in the ratio 1:6.
Emilia received £15.
How much did Joshua receive?

Answers

Answer:

15x6

Step-by-step explanation:

do 15x6 and what that is, is the answer

- The side length of a square is 4x3 cm. What is the area of the square?

Answers

Answer:

144 cm

Step-by-step explanation:

The answer to your question would be 144cm you take a multiple each of the sides add your total up and you would get the total of 144cm hope this helps you out.

On a given day, the proportion of workers from Company B who purchase a coffee from the company cafeteria is 0.62 and the proportion of workers from Company C who purchase a coffee from the company cafeteria is 0.71. A random sample of 40 workers was selected from Company B and another random sample of 40 workers was selected from Company C. The proportion of workers from Company B who purchased coffee was

Answers

Complete question is;

On a given day, the proportion of workers from Company B who purchase a coffee from the company cafeteria is 0.62 and the proportion of workers from Company C who purchase a coffee from the company cafeteria is 0.71. A random sample of 40 workers was selected from Company B and another random sample of 40 workers was selected from Company C. The proportion of workers from Company B who purchased coffee was p^_B = 0.70 and the proportion of workers from Company C who purchased coffee was p^_C = 0.75.

What is the correct unit of measurement for the mean of the sampling distribution p^_B - p^_C?

A) Days

B) Dollars

C) Companies

D) Workers

E) There are no units associated with the mean of the sampling distribution

Answer:

E) There are no units associated with the mean of the sampling distribution

Step-by-step explanation:

We are given;

Population proportion for workers from Company B who purchase a coffee from the company cafeteria as 0.62

Population proportion for workers from Company C who purchase a coffee from the company cafeteria as 0.71

Now, we were told that a random sample of 40 each were selected from both company B & C and the sample proportion were;

p^_B = 0.70 and p^_C = 0.75

Now, this proportions don't have any units as it is based on a ratio of the number of people that purchased coffee to the number of people surveyed.

Thus we can conclude that p^_B - p^_C will not have any units associated with it.

The possible outcomes of the difference in proportions of the two samples

based on on the individual proportions are not associated with a unit.

The correct option for the unit of measure of the sampling distribution [tex]\hat p_B - \hat p_C[/tex] is E. There are no units associated with the mean of the sampling distribution.

Reasons:

The given parameters are;

The proportion of workers of Company B who purchase coffee from the

Company B workers that purchase coffee from the cafeteria = 0.62

Company A workers that purchase coffee from the cafeteria = 0.71

Number of workers in the sample from Company B = 40

Number of workers in the sample from Company A = 40

Proportion of Company B workers who purchase coffee, [tex]\hat p_B[/tex] = 0.71

Proportion of Company C workers who purchase coffee, [tex]\hat p_C[/tex] = 0.75

Required:

The unit of the mean of the sampling distribution of [tex]\mathbf{\hat p_B - \hat p_C}[/tex]

Solution:

The proportion of the workers that purchase coffee is given by the ratio of the number of workers that purchase coffee to the number of workers in the sample.

Therefore;

[tex]\displaystyle \hat p = \mathbf{\frac{Coffee \ buying \ workers}{Total \ number \ of \ workers}}[/tex]

Given that the unit of the numerator and denominator are both workers,

that divide out, we have that the [tex]\mathbf{\hat p}[/tex], [tex]\mathbf{\hat p_B}[/tex], [tex]\mathbf{\hat p_C}[/tex] and therefore [tex]\hat p_B - \hat p_C[/tex] are not

associated with a unit.

Therefore;

The correct option is; E. There are no units associated with the mean of the sampling distribution.

Learn more here about sampling distribution of a sample proportion here:

https://brainly.com/question/14261491

jacks rope is 4 feet long how many inches is the rope

Answers

Answer:

48

Step-by-step explanation:

1 ft = 12 in

4 x 12 = 48

how do I decease 7 by 3%​

Answers

Answer:

6.79

Step-by-step explanation:

First of all, you will have to know how much is 3% of 7 in order to decrease it by that amount.

7 x 0.03 = 0.21

Now that you know the amount, you can subtract it from seven and therefore you have decreased 7 by 3%.

7 - 0.21 = 6.79

Answer:

Percentage decrease = 7 × 3%

7 - Percentage decrease = 7-(3% x 7)= 7 - 3% x 7=7 x (1 - 3%)= (100% - 3%) × 7 = 97% x 7 = 679%

(-2+6y+3x)(-3) distributive property to remove the parentheses

Answers

Answer:

6-18y-9x

Step-by-step explanation:

what is 900 * 158000​

Answers

Answer:

142,200,000

Step-by-step explanation:

Used Calculator

Answer:

142200000

Step-by-step explanation:

It's a really long answer

Sarah read 215 pages of her book during the first week of vacation. During the second week she read62 more pages then the first week

Answers

Answer:

She read 277 pages during the second week.

Step-by-step explanation:

215 + 62.

Answer: she read 277 books

Step-by-step explanation:

Mr. Lenz has received several orders for apples at his farm
stand. He needs to know how many people ordered 12
apples so he can fill bags of 12.
Would a dot plot or a histogram be a more appropriate way to display the
data for this situation?
A. A histogram, because Mr. Lenz wants to know all of the data for a
single value
O B. A dot plot, because Mr. Lenz wants to know all of the data for a
single value.
C. A histogram, because Mr. Lenz wants to know how the data fall
into different intervals or ranges.
D. A dot plot, because Mr. Lenz wants to know how the data fall into
different intervals or ranges.

Answers

Answer:

A, Histograms give values where as dot plots are focused on a trend.

Answer:

B

Step-by-step explanation:

I got the test

Evaluate 2x + 9y -9, when x= 6 and y= 6

Answers

Answer:

57

Step-by-step explanation:

2x + 9y -9

2(6) + 9(6) - 9

12 + 54 - 9 = 57

good luck, i hope this helps :)

Answer:

57

Step-by-step explanation:

2*6+9*6-9=

12+54-9=

66-9=

57

do 4 x + 15 + x have the same value when it's 5​

Answers

Answer:

If you mean 4x = 15 + x, then yes.

Step-by-step explanation:

4 × 5 = 20

15 + 5 = 20

20 = 20

18. This data set shows the total points scored per game by the varsity basketball team during last year's season.
60
65
67
62
65
67
63
65
68
64
65
70
64
66
90
Click on the blank and select the correct word or phrase that describes the shape of this data distribution.
The data distribution
is symmetric.
is skewed left.
is skewed right
can't be determined.

Answers

Answer:

Try skewed left or cannot be determined

Step-by-step explanation

Sam made fruit punch for a party. He mixed 3 gallons of orange juice, 2 quarts of pineapple juice, 4 pints of cranberry juice, and 6 cups of apple juice. How many quarts did he make in all?

Answers

Answer:

19 quarts

Step-by-step explanation:

you change the measurements to quarts.

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