6 men and 10 women can finish making pots in 8 days, while the 4 men and 6 women can finish it in 12 days. Find the time taken by the one man alone from that of one woman alone to finish the work.

Answers

Answer 1

Answer:

48 days

Step-by-step explanation:

Let us assume the following things

Work done by 1 man in 1 day is [tex]\frac{1}{x}[/tex]

Work done by 1 woman in 1 day is [tex]\frac{1}{y}[/tex]

It is mentioned that

six men + ten women finished in 8 days

So,

[tex]\frac{6}{x} + \frac{10}{y} = \frac{1}{8}[/tex] .............. (1)

And,

four men + six women finished in 12 days

[tex]\frac{4}{x} + \frac{6}{y} = \frac{1}{12}[/tex] ...............(2)

Now solve these two equations

And we assume [tex]\frac{1}{x}[/tex] be u and [tex]\frac{1}{y}[/tex] be v

So

Now the equation is

[tex]6u\ + 10v\ = \frac{1}{8} \\\\\4u\ + 6v\ = \frac{1}{12}[/tex]

So,

u = 1 ÷ 48 , v = 0

Therefore x = 48

So the time taken for finish the work is 48 days


Related Questions

Write the following expression using a single exponent. 3-5 × 36 A. 30 B. 3-11 C. 31 D. 3-30

Answers

Answer:

3^1

Step-by-step explanation:

3^-5 * 3^6

When multiplying exponents with the same base, we can add the exponents

3^ ( -5+6)

3^1

A corporation reported profit of approximately $1500 million with approximately $24,300 million in revenues. Compare the profit to revenue by writing as a fraction in the lowest terms

Answers

Answer:

[tex]\frac{5}{81}[/tex]

Step-by-step explanation:

Given:

Profit = $1500 million

Revenue = $24,300 million

Profit to Revenue = [tex]\frac{1500 million}{24,300 million}[/tex]       [Since they both have same unit ($), this sign can be omitted]

Now let's reduce the ratio above to its lowest terms...

[tex]\frac{1500 million}{24,300 million}[/tex]

[First, the millions at the numerator and denominator cancel out]

[tex]\frac{1500}{24,300}[/tex]  

[Next, the two zeros at the numerator and denominator cancel out]

[tex]\frac{15}{243}[/tex]

[Next, divide both the numerator and denominator by 3]

[tex]\frac{5}{81}[/tex]

Since no further division can be done, then the profit to revenue is in its lowest terms as [tex]\frac{5}{81}[/tex]

Find the two missing numbers shown with an "*" in the equation.

5 3/* × * 1/2 = 19
^^both mixed fraction^^

Answers

I hope its helps
Its has to be more what I’m writing here so I’m writing

Which decimal is equivalent to (5 × 10) + (2 × 1/100)? a 50.002 b 5.02 c 50.20 d 50.02

Answers

Answer:

d 50.02

Step-by-step explanation:

I got 50.02 For the answer :)

Determining a value of an expression

Answers

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations.

I think.

A pair of $120 shoes was discounted 20 percent. A customer had a coupon for an additional $5 off. What was the final price of the shoes?

Answers

Answer:

The answer would be $91.

Step-by-step explanation:

20% off of 120 is 96 and 96 - 5 is 91.

Answer:

$91

Step-by-step explanation:

To find 20% off of  $120 set it up as a fraction.

We are trying to find x.

x/120 = 20/100

Now you are going to cross multiply to get the unchanged/non-simplified version of you soon to be answer.

2400/100x

Simplify that to find how much you need to subtract from $120 when the discount is added.  2400/100 = 24. 120-24 = 96. Then subtract 5 from 96 and that will give you your final answer.

What is m What is m What is m

Answers

Answer:

honestly im not sure but i am doing that same work at the moment and i just ingore the m. it shouldnt change what you get as your answer.

Answer:

not sure but i hope yah find out

Step-by-step explanation:

Drew scores 90 points in 6 games. How many points per game does Drew score?

Answers

Answer:

15

Step-by-step explanation:

90 points in 6 games

90/6 = points in one game

= 15 points in one game

Answer:

15 points per game

Step-by-step explanation:

You need to divide the full amount of points (90) by the amount of games played (6) to get the amount of points per game.

90÷6=15

So 15 is the answer

Solve step by step 3(2x-4)=8

Answers

Answer:

x = 3.33... or 10/3

Step-by-step explanation:

3(2x - 4) = 8

distribute the 3 into the parentheses

3 • 2x = 6x

3 • -4 = -12

6x - 12 = 8

add 12 to both sides

6x = 20

divide both sides by 6

x = 3.33... or 10/3

Answer:  x = 10/3

Step-by-step explanation:

3(2x-4) = 8     apply the distributive property on the left side

6x - 12= 8       Add 12 to both sides

     +12   +12

6x = 20     Divide both sides by 6

x= 20/6 which simplifies to 10/3

Please help me, I need the answer now! Will mark brainliest.

Answers

Answer: It is D

Step-by-step explanation: The numbers are going by fives.

GEOMERTY QUESTIONS!!!!!!!!!

Answers

Answer: The answer to the first question is C. The answer to the second question is A.

the first one is C and the second is A

find the area of the prism

Answers

Answer:

total surface area = 400 cm2

Step-by-step explanation:

What is the value of x in the equation one-fifthx – two-thirdsy = 30, when y = 15? 4 8 80 200

Answers

Answer:

x = 200

Step-by-step explanation:

Given

[tex]\frac{1}{5}[/tex] x - [tex]\frac{2}{3}[/tex] y = 30 ← substitute y = 15 into the equation

[tex]\frac{1}{5}[/tex] x - [tex]\frac{2}{3}[/tex] × 15 = 30 , that is

[tex]\frac{1}{5}[/tex] x - 10 = 30 ( add 10 to both sides )

[tex]\frac{1}{5}[/tex] x = 40 ( multiply both sides by 5 to clear the fraction )

x = 200

The value of x is 200.

Here, given expression is

one-fifthx – two-thirdsy = 30,

We have to find the value of x when y = 15.

What is Mathematical expression?

Mathematical expression is a way where calculations and analytical processes should be observed.

Now, given expression is

⇒ one-fifthx – two-thirdsy = 30,

⇒ [tex]\frac{1}{5} x - \frac{2}{3} y = 30\\[/tex]

When y = 15

⇒ [tex]\frac{1}{5} x - \frac{2}{3} *15 = 30\\\\\frac{1}{5} x -2* 5 = 30\\\\\frac{1}{5} x = 30 + 10\\\\\frac{1}{5} x = 40\\\\x = 200[/tex]

Hence, The value of x is 200.

Learn more about the Mathematical expression visit:

https://brainly.in/question/49349844

#SPJ6

Which statement is false?

Answers

I believe that your answer is C. Not ALL rational numbers are integers.

Zeke had 12 friends coming for his birthday party. He wanted each friend to get 1 1/3 pounds of candy. How many pounds of candy did he need to buy?

Answers

Answer: 16 pounds

Explanation:

1 1/3 = 4/3 pounds of candy each

But he has 12 friends:

12 x 4/3 = 16 pounds of candy that he need to buy

Multiply. (2x + 5) (3x2 + 5x + 1) A. 5x3 + 15x2 + 27x + 5 B. 6x3 + 15x2 + 27x + 6 C. 6x3 + 25x2 + 27x + 5 D. 6x3 + 25x2 + 23x + 5​

Answers

Answer: 6x3+25x2+27x+5

Step-by-step explanation: =(2x+5)(3x2+5x+1)

=(2x)(3x2)+(2x)(5x)+(2x)(1)+(5)(3x2)+(5)(5x)+(5)(1)

=6x3+10x2+2x+15x2+25x+5

Which fraction is equivalent to a repeating decimal? A)3/11 B)3/4 C) 3/8 D) 3/5

Answers

Answer:

3/11.

Step-by-step explanation:

3/11 = 0.2727272727....

write in standard form y=-3x+4 through (0,-1)

Answers

Y= -3x +4
So from the equation we can tell that m is 3 .

(0,-1)
(x, y)

0 = x
-1 = y

M = 3

Y = mx+ c
Just insert it
-1 = 3(0) + c
-1 = c

So thts mean the answe is y = 3x-1


19. A concert vendor sold 200 tickets for an upcoming rock concert. Floor seats were $36 and stadium seats
were $28. The vendor sold $6080 in tickets. How many floor seats and stadium seats did the vendor sell?
Set up a system of equations and solve. Let f = the number of floor seats sold and S= number of stadium
seats sold.

Answers

Answer:

36F + 28S= 6080

Step-by-step explanation:

36F + 28S= 6080 is the equation for the problem. For the amount of tickets each one sold, station seats sold 140 tickets and floor seats sold 60 tickets.

Jennifer is saving money to buy a bike. The bike costs $336. She has $128 saved, and each week she adds $16 to her savings. How long will it take her to save enough money to buy the bike? It will take her \weeks to save for the bike.​

Answers

Should be 13 weeks. $336-$128= $208
$208/$16= 13 weeks

which of the following numbers best approximates 3.076 - 307.6
A. 300
B. 3,000
C. 30
D. 30,000

Answers

Answer:

A

Step-by-step explanation:

The minus sign is not needed.

Simplify :
............ ​

Answers

Answer:

?sjsjssnsk.aia.

iwkq.qnw w.1kp1p1la

ama zz

anmpq0qq

help please! I kind of forgot how to do these & I need a little bit of help, thank you!

Answers

Answer:

T

Step-by-step explanation:

Go to the right 1/4 of a unit and down 1/2 of a unit

The point is T

Question 5 (1 point)
The mallard duck walks 9,500 ft per year. How many inches is that per day?

Answers

Answer:

LOL, change ft to inches and then divide by 365

Answer:

312.3 Inches/Day

Step-by-step explanation:

I did it on a test and also 9,500 divided by 365 (year) times 12 (12 inches in one foot)=312.3

As you can see in the photo below I chose 312.3

What is 39,040,000 expressed in scientific notation

Answers

The scientific notation answer is 3.904 x 10^7

Answer:

39.04 x 10 to the power of 7

Step-by-step explanation:

probably wrong but ok :)

Suppose you charge $4.50/h for baby-sitting. How much will you earn baby-sitting for 3 1/2 hours?

Answers

Answer:

You will earn $15.75, $13.50, or $18 depending on how you are getting paid

Step-by-step explanation:

If you are getting paid a flat rate not by the hour, then simply multiply $3.50 by 3.5 to get $15.75

If you are getting paid by the hour, and only by full hours, the you get $3.50 for the first, second, and third hour, but not for the fourth hour because it has only been a half hour, so only $13.50.

If you are getting paid for each hour that you start, then you get $3.50 for four hours, or $18.00 total

Which sentence is correct? A. B. C. D.

Answers

Answer:

what do you mean what sentence is correct give a picture

Answer:a

Step-by-step explanation:

Sofia owes her brother $25. She gives her brother the $18 she earned dog-sitting. Write an addition expression to describe this situation. Then find the sum and explain its meaning.

Answers

Answer:

She owes her brother $7.

Step-by-step explanation:

Subtract $18 made from dogsitting from the total (which is $25).

addition expression : $18 + x =$25

                      check :  $25 - $18 = $7

$7 is what she needs to finish paying back.  

Find the midpoint of the segment with the following endpoints. (7,−2) and (1,−10)

Answers

Answer:

The answer is

[tex](4 \: , \: - 6)[/tex]

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(7,−2) and (1,−10)

The midpoint is

[tex]M = ( \frac{7 + 1}{2} , \: \frac{ - 2 - 10}{2} ) \\ = ( \frac{8}{2} , \: - \frac{12}{2} )[/tex]

We have the final answer as

[tex](4 \: , \: - 6)[/tex]

Hope this helps you

Evaluate the expression, given functions f and h: f(x) = 3x − 2, h(x) = −2x2 + 3x − 6. f(7/3) - h(-2)

Answers

Answer:

The answer is 25

Step-by-step explanation:

f(x) = 3x - 2

h(x) = - 2x² + 3x - 6

First to find f(7/3) substitute the value of x that's 7/3 into f (x)

That's

[tex]f( \frac{7}{3} ) = 3( \frac{7}{3} ) - 2 \\ = 7 - 2 \\ \\ f( \frac{7}{3} ) = 5 \: \ \: \: \: \: \: \: \: \: \: \: \: [/tex]

To find h(-2) substitute the value of x that's - 2 into h(x)

We have

[tex]h( - 2) = - 2 ({ - 2})^{2} + 3( - 2) - 6 \\ = - 2(4) - 6 - 6 \\ = - 8 - 12 \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ h( - 2) = - 20 \: \: \: \: \: \: \: [/tex]

So we have

[tex]f( \frac{7}{3} ) - h( - 2) = 5 - - 20 \\ = 5 + 20[/tex]

We have the final answer as

25

Hope this helps you

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