The cost of painting a wall that is 5 meters wide and 2 1/2 meters tall is $50. How many square meters can be painted for $1?

please answer asap

Answers

Answer 1

Answer: If the a and b of your formula mean how many hours it takes each

person, like a = 2 and b = 1, then the formula gives 3/2 or 1 hour and

30 minutes.  This is not reasonable, since one of the painters alone

could do it in 1 hour.  

Actually, your formula is UPSIDE DOWN. It should be (a*b)/(a+b).

Here's why.  

Let h be the number of hours it takes for the two of them to do it

together. The first person could do it all in a hours, but can paint

only a fraction of the wall working h hours. Assuming a constant rate

of painting, that fraction is h/a. That is, the first painter will

paint h/a of the wall in h hours.  

Similarly, the second painter will paint h/b of the wall in that time.

So, when will they be done? When the whole wall is painted, which

happens whenever those 2 fractions add up to 1.  

You need to solve the following equation:

 (h/a) + (h/b) = 1  

     h*b + h*a = a*b           Multiplying through by a*b

       h*(b+a) = a*b           Factoring out h

             h = (a*b)/(a+b)   Dividing both sides by b+a

Okay, now say 3 painters could do it in a hours, b hours or c hours,

respectively. Let h be the number of hours they all must work to get

it all painted. The first painter finishes h/a of the wall in that

amount of time. The other 2 painters manage to paint h/b of the wall

and h/c of the wall in that time.  Since h is the time to finish the

job, all 3 of these fractions must add up to the whole wall, or 1.  

So you have the equation:

   

       h     h     h        

      --- + --- + ---  =  1

       a     b     c    

 

Solve this for h (start by multiplying through by a*b*c) and you will

get the generalized formula for 3 painters. It's not the formula you

wrote above but I think you can finish it off.

 

(I hope this helps. I'm sorry if it's wrong)


Related Questions

Can someone help with this Problem? It is about Evaluating expressions using properties of exponents. Would help a lot. Attachment below

Answers

9514 1404 393

Answer:

  1/192

Step-by-step explanation:

The properties of exponents useful here are ...

  a^0 = 1 . . . . for a ≠ 0

  a^-b = 1/a^b

__

  [tex]4^{-2}\cdot 12^{-1}\cdot 12^0=\dfrac{1}{4^2}\cdot\dfrac{1}{12}\cdot 1\\\\=\dfrac{1}{16\cdot12}=\boxed{\dfrac{1}{192}}[/tex]

Please help me
Find the value of x.​

Answers

Answer:

d: x = -8

Step-by-step explanation:

40 + 65 + x + 83 = 180  (sum of internal angles of a triangle)

x = 180 - 40 - 65 - 83

x = -8

Hurry please
I need the answer to this one in 2 minutes

Answers

Answer:

125

Step-by-step explanation:

45 ÷9=5

5² or 5×5=25

25×5=125

Hope this helps!

Answer:

I THINK ITS

Step-by-step explanation:

5x(2025 ÷81)

5x25

125

The cafeteria offers two snack options as shown in the table. Out of 18
students, 8 students choose Option B and the rest choose Option A. If the
total cost of option A is the same as the option B, what is the price of a
carton of milk?”

Answers

Answer:69,420

Step-by-step explanation:

9+10=21

The price of a carton of milk is $1.00

The given parameters are:

Number of students, n = 18Option A = 8

Since 8 chose option A, it means that 10 would choose option B

So, the equation that represents when both price are equal is:

[tex]8(2x + 0.5) = 10(x + 1)[/tex]

Where

2x + 0.5 represents the unit price of option A

x + 1 represents the unit price of option B

Open the brackets

[tex]16x + 4 = 10x + 10[/tex]

Collect like terms

[tex]16x - 10x = 10 - 4[/tex]

Evaluate the like terms

[tex]6x = 6[/tex]

Divide

[tex]x = 1[/tex]

Hence, the price of a carton of milk is $1.00

Read more about equivalent equations at:

https://brainly.com/question/2972832

A group of students are standing in rows. There are as many students in a row as there are rows. If there are 64 students in the group, how many students are standing in pach row?
A. 4
B 6
C. 8
D 12.​

Answers

Answer:

B..im pretty sure

Step-by-step explanation:

First it cant be D because 12 x __ = 64. There is no whole number multiplied by 12 that equals 64. So cross that out. then it's not B because 6 x ___ = 64. So also cross that out. the only thing u have left is 4 and 8. Then u can cross out A because the group of students has to be the same number of rows. Which is 8 x 8 aka B. The answer is B

Answer:

B

Step-by-step explanation:

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Using the empirical rule, determine the interval that would represent the middle 95% of IQ scores.

Answers

Answer:

About 95% of individuals have IQ scores in the interval 100 ± 2 ( 15 ) = [ 70 , 130 ] .

Step-by-step explanation:

hope this helps

Merry Christmas please help

Answers

-3,2,3,7

Happy holidays! Hope you have a great Christmas!

Answer:

All Of The Number At The Top

Step-by-step explanation:

Like Said, The Tables Functions f

So, Basically It's A Challenge,

All Of The Numbers In Row X From Above Table

I Hope You Found This Answer Helpful

Good Day

You'll Get 100% Don't Stress It✨

By: LocalLesMara

I need the answer ASAP

Answers

Answer:

the are is 14

brainliest??

Step-by-step explanation:

Answer:

48ft

Step-by-step explanation:

Hope this helps. :)

If 12 cookies cost $3 how much would it be for 9 cookies

Answers

$36 is the answer :)
you use ratios. if 12 whole cookies cost only 3 dollars.
12:3
9:x
x is how much it would cost. so try to find x.
x= 2.25
9 cookies cost 2 dollars and 25 cents

The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.

Fraction:
Decimal:
Percent:

Answers

Answer:

Below.

Step-by-step explanation:

10 rectangles, 2 are shaded in.

Fraction: 1/5

Decimal: 0.2

Percent: 20%

what is the correct factorization of x^2 - 2x - 15?

Answers

Answer:

Step-by-step explanation:

x2 - 2x - 15

x2 - 5x + 3x - 15

x(x - 5) + 3(x - 5)

(x - 5) and (x + 3) are the factors

(x-5)(x+3) is the correct factorization of the above equation.

if this needs to be solved further, you will need to set both of these equations equal to 0.

x-5=0 and x+3=0

this will give you x=5 and x=-3

i hope this helped :)

Arthemeatic sequence

Answers

Answer:

14

Step-by-step explanation:

its going down by 11

convert 53 yards per hour into inches per day

Answers

1 yard = 36 inches.

53 yards per hour x 36 inches per yard = 1908 inches per hour.

1 day = 24 hours.

1908 inches per hour x 24 hours = 45,792 inches per day.

Question 1 (5 points)
Saved
(01.01 LC)

Which of the following is a rational number? (5 points)

square root of 2, square root of 3, square root of 4, and square root of 5
Question 1 options:

1)

square root of 2

2)

square root of 3

3)

square root of 4

4)

square root of 5

Answers

Answer:

Square root of 4 is ans

Step-by-step explanation:

Answer:

4) square root of 4

Step-by-step explanation:

I need help please and thanks

Answers

Answer:

68 degrees

Step-by-step explanation:

1 & 6 have to equal 180. Therefore, if 1 is 112 then you take 180-112. Then you get 68 degrees.

Answer:

Angle 6 would be 68 degrees

Step-by-step explanation:

Angles 1, 3, 5, and 7  all equal 112. you would subtract 112 from 180 to get the measurement for angles 2, 4, 6, and 8

The federal government would like to test the hypothesis that the average age of men filing for Social Security is higher than the average age of women with the following data: Men Women Sample mean 64.5 years 63.6 years Sample size 35 39 Population standard deviation 3.0 years 3.5 years If Population 1 is defined as men and Population 2 is defined as women, the 90% confidence interval for the difference in population means is (closest to) ________. Group of answer choices

Answers

Answer:

The 90% confidence interval is  [tex] -0.3433<  \mu_1 - \mu_2 < 2.1433[/tex]

Step-by-step explanation:

From the question we are told that

   The sample mean for men is  [tex]\= x_1 = 64.5 \ years[/tex]

    The sample mean for women is  [tex]\= x_2 = 63.6 \ years[/tex]

     The sample size for men  is   [tex]n_1 = 35[/tex]

      The sample size for women is  [tex]n_2 = 39[/tex]

      The standard deviation for men is [tex]s_1 = 3.0[/tex]

       The standard deviation for women is  [tex]s_2 = 3.5[/tex]

From the question we are told the confidence level is  90% , hence the level of significance is    

      [tex]\alpha = (100 - 90 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645 [/tex]

Generally the standard error is mathematically represented as

     [tex]SE = \sqrt{\frac{s_1^2 }{n_1} + \frac{s_2^2}{n_2} }[/tex]

=>  [tex]SE = \sqrt{\frac{3^2 }{35} + \frac{3.5^2}{39} }[/tex]

=>  [tex]SE = 0.7558[/tex]

Generally the margin of error is mathematically represented as

       [tex]E = Z_{\frac{\alpha }{2} } * SE[/tex]

=>     [tex]E = 1.645 * 0.7558[/tex]

=>     [tex]E = 1.2433[/tex]

Generally 90% confidence interval is mathematically represented as  

      [tex](\= x_1 - \= x_2) -E <  \mu_1 - \mu_2 <  (\= x_1 - \= x_2) -E [/tex]

=>    [tex](64.5 - 63.6) -1.2433<  \mu_1 - \mu_2 <(64.5 - 63.6) +1.2433[/tex]

=>    [tex] -0.3433<  \mu_1 - \mu_2 < 2.1433[/tex]

sophias car wash llc specializes in detaling cars. For a pick up truck, sophia charges 30 dollars she also charges a rate of 4 dollars per hour. if sophia charged you 42 dollars how many hours did it take for her to detail your truck

Answers

Answer:

3 Hours

Step-by-step explanation:

If we subtract 30 dollars from the initial 42, we are left with 12 dollars. Then all we have to do is do 12/4 to get 3 hours of work :D

(4,8), m=5 need a step by step answer please

Answers

Answer:

8=4x+5

Step-by-step explanation:

Slope-intercept form: y=mx+b

1. Identify your terms:

x: 4

y:8

b/slope: 5

2. Solution:

8=4x+5

Angel Sanchez has 10 books on a shelf; 5 mysteries, 4 science fiction books, and 1 biography. Determine the probability of each situation below.
a) Selecting one biography and then one mystery, with replacement
b) Selecting one biography and then one mystery, without replacement
a) The probability of selecting one biography and then one mystery, with replacement, is 17
(Type an integer or a simplified fraction)

Answers

Answer:

a)  1/10 x 5/10 = 1/20

b) 1/10 x 5/9 = 1/18

Step-by-step explanation:

a) Probability of selecting one biography and then one mystery, with replacement: 1/20

b) Probability of selecting one biography and then one mystery, without replacement: approximately 0.0556 or 5.56%.

The probability of each situation can be calculated as follows:

a) Selecting one biography and then one mystery, with replacement:

With replacement means that after each selection, the book is put back on the shelf before the next selection.

The probability of selecting the biography first is 1 out of 10 books (since there is 1 biography out of 10 books).

The probability of selecting the mystery book next is 5 out of 10 books (since there are 5 mysteries out of 10 books).

The overall probability is the product of the individual probabilities:

Probability = (1/10) * (5/10) = 1/20

So, the probability of selecting one biography and then one mystery, with replacement, is 1/20.

b) Selecting one biography and then one mystery, without replacement:

Without replacement means that after each selection, the book is not put back on the shelf before the next selection.

The probability of selecting the biography first is still 1 out of 10 books.

However, after selecting the biography, there are now 9 books left on the shelf, and the probability of selecting a mystery is 5 out of 9 books (since there are 5 mysteries out of the remaining 9 books).

The overall probability is the product of the individual probabilities:

Probability = (1/10) * (5/9) ≈ 0.0556 or 5.56%

So, the probability of selecting one biography and then one mystery, without replacement, is approximately 0.0556 or 5.56%.

To know more about Probability, refer here:

https://brainly.com/question/27784798

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y = -8x – 3
x+y=7
Is (3, 4) a solution of the system?

Answers

4 = -8(3) - 3
4 = -24-3 false

3 + 4 = 7 true

The first one is false, second is true

Answer: the answer is no :)

HELP PLEASE!!
What is Y

Answers

Did you see the SBA said JK element PQRS do you are you can you ask why are you now I wanna ABC BON BON

How is the space between consecutive whole numbers divided on the number line?
O into halves
O into fifths
O into sixths
O into sevenths

Answers

C. INTO SIXTHS

I LITRALLY JUST TOOK THE TEST ON EDGE. SO YOU CAN TAKE MY WORD FOR IT

I HOPE I WASNT TOO LATE. IF I WAS, SORRY

The number of grids or intervals on the given number line between any two consecutive whole numbers is six thus option (C) is correct.

What is a number line?

In mathematics, a number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.

A horizontal number line is the most common representation and can be extended infinitely in any direction.

As per the given number line,

Since 1 is a whole number and 2 is also a whole number.

The number of intervals between 1 and 2 is 6.

Thus, between consecutive whole numbers divided on the number line is 6.

Hence "The number of grids or intervals on the given number line between any two consecutive whole numbers is six".

To learn more about the number line,

https://brainly.com/question/13189025

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i need a step by step explanation

Answers

Answer:

1/2c-4

Step-by-step explanation:

First, you distribute the fraction on the outside to the numbers inside of the parenthesis. So, you distribute 1/2 to c, which gives you 1/2 x c = 1/2c. Then, you distribute the 1/2 to -8, which gives you 1/2 x -8 = -4. You combine these expression together and get your final answer as 1/2c-4.

Grade 4 Mathematics- Checkpoint #3
In 2008 the total number of cell phone users in Indonesia was about 140,578,000. Which expression has the same value as 140,578,000?

Answers

Answer:

2^4 x 5^3 x 70289

Step-by-step explanation:

16 x 125 x 70289=140,578,000



3.5x + 4y if x=3 and y = 7
4 6x-42 if x =4 and 2
5.83 +4 ry if y=2 and y= 100

Answers

3,5×  3 + 4 × 7 =3 8,5

46*4-42=143      46* 2- 4 2=  50

5,83+4*2=13,83 5,83+4*100=405,83

pweese help!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D

Step-by-step explanation:

can someone help me with this

Answers

0.98
I hope this helps.

Answer:0.98

hope this helps have a good day

Step-by-step explanation:

Casey walked 2.1 miles to the grocery store. She then walked 0.5 miles to the post office and 0.8 miles to work. How far did she walk in total? Convert your answer into kilometers.

Answers

Answer:

3.4 miles and 5.472 kilometers

What is the equation relating x and
y together?
y
1
2
3
4
5
25
23
21
19
17
y=-2x + [?]

Answers

Answer:

ommmm I have no idea Butt 1 of my fav numb is 17 so pick that

!!HELP!! What is q times 10?

Answers

Answer:

Q10. You just put them together because it's multiplying of a letter and a number

**I thought I answered this question yesterday, is this a deja vu or something**

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