Two women painted a barn. Barbara can paint it alone in 5 days, and Sara in 8 days. They
started to paint it together, but after 2 days, Sara got bored and Barbara finished alone. How
long did it take her to finish?

Answers

Answer 1

Answer: she will need 2.8 days to finish the work.

Step-by-step explanation:

Let's define:

D = number of days.

B = rate at which Barbara paints a barn

S = rate at which Sara paints a barn

We know that Barbara can paint a barn in 5 days, then:

B*5 days = 1 barn

B = 1/5 barns per day.

And we know that Sara can paint it in 8 days, then:

S*8 days = 1 barn

S = 1/8 barns per day.

Now, when they work together, their rates are added.

Then if they work together for two days, they paint a total of:

(1/5 barns per day + 1/8 barns per day)*2 days

(8/40 barns per day + 5/40 barns per day)*2 days

(13/40 barns per day)*days = 26/40 barns

Now Sara needs to paint he other 14/40 barns in her own, she will need D days, then:

(1/8 barns per day)*D = 14/40 barns

D = (14/40 barns)/(1/8 barns per day) = (14*8/40) = 2.8 days.

So she will need 2.8 days to finish the work.


Related Questions

Which letter represents the sum of (–4 + 3i) and (6 – i)?

Answers

2+2x or factored 2(1+x)

Answer:

2+2i = 2(1+i)

Step-by-step explanation:

2+2i = 2(1+i)

consider the following graphs of linear equations. which line has a positive slope?​

Answers

Answer:

The following with the positive slope is line l.

LAST ONE! Simplify the following expression.

Answers

Answer:

5+5root3

Step-by-step explanation:

Answer:

5+5root3

Step-by-step explanation:

sorry if its wrong

Help please......................

Answers

7 because 4+2=6 and 1/2+1/2=1 so 6+1=7

Answer:

6 1/2

Step-by-step explanation:

4 1/2+2 1/2

= 9/2+5/2

=14/2

=7

Hope This Helps, BadAtMath99

Help I don’t understand the question

Answers

Answer:

g=8

Step-by-step explanation:

games to wins are the same

g:4=6:3

g=8

Answer:

2

Step-by-step explanation:

the answer is

What is the value of the expression when x=3?
4x - 4x + x*

Answers

Answer:

(4×3)-(4×3)+(4×4×4)

12-12+64

64

Answer: 3

Step-by-step explanation:

4(3) - 4(3) + 3

\/ \/

12 - 12 + 3

0 + 3 = 3

Jada has a coin jar containing n nickels and d dimes worth a total of $3.65. The
equation 0.05n + 0.1d = 3.65 is one way to represent this situation.
Which equation is equivalent to the equation 0.05n +0.1d = 3.657

Answers

Answer:5n+10d=365.7 pennies

Step-by-step explanation:

(50 POINTS) (PLEASE ANSWER THE QUESTION, NOT JUST TRY AND TAKE MY POINTS, I NEED HELP ON THIS SO DO NOT ANSWER IF YOU DO NOT KNOW OR ARE JUST TRYING TO TAKE MY POINTS)
Is there a proportional relationship between number of sandwiches and the cost of the order? Explain how you know.
(The picture shows what the relationship is now all I need to find is if it’s proportional or not, and why. Can you help me please? It’s homework, and it’s due in 5 minutes.)

Answers

Answer:

No, there is no proportional relationship

Step-by-step explanation:

The proportional relationship is:

y = kx, which is a special form of linear equation, with zero y-intercept

In the given case we have:

y = 4.5x + 10

This is a linear function but not proportional relationship because it has y-intercept, different than zero

(PLEASE HELP ASAP ILL MARK BRAINIEST)
In the figure below, Triangle ABC is similar to Triangle XYZ. What is the length of YZ? Enter only the number.

Answers

Answer:

The answer would be 24

Step-by-step explanation:

8 x 3 = 24

If f(x) = 2x2 + 7, find f(-3) =
What’s the f(-3)

Answers

Answer:

replace the x with -3

Step-by-step explanation:

if you ever have f(x) = 'insert equation' and then it says find f('insert number'), you replace what ever variable is after the first 'f' with the number after the second 'f'. hope this helped!

Answer:
43
Step by step:
f(x)=2x^2+7
f(3)=2(3)^2+7
f(3)=6^2+7
f(3)=36+7
f(3)=43

A farmer has 3/4 acre of land. He will use all the land and plant different vegetables in 1/16 -acre sections. How many sections of vegetables will the farmer have?​

Answers

Answer: 12 sections of 1/16 acre

Step-by-step explanation:

We want to find how many sections of 1/16 acre we can have in a total area of 3/4 acre.

This is equal to the quotient between 3/4 and 1/16

Remember that if we have two rational numbers (a/b) and (c/d) the quotient can be writen as:

(a/b)/(c/d) = (a/b)*(d/c) = (a*d)/(b*c)

The quotient we want to solve is:

(3/4)/(1/16) = (3/4)*(16/1) = (3*16)/4 = 12

Then you can have 12 sections of 1/16 acre

Answer:

12 sections of 1/16 acre

We want to find how many sections of 1/16 acre we can have in a total area of 3/4 acre.

This is equal to the quotient between 3/4 and 1/16

Remember that if we have two rational numbers (a/b) and (c/d) the quotient can be writen as:

(a/b)/(c/d) = (a/b)*(d/c) = (a*d)/(b*c)

The quotient we want to solve is:

(3/4)/(1/16) = (3/4)*(16/1) = (3*16)/4 = 12

Then you can have 12 sections of 1/16 acre

Step-by-step explanation:

(-7/10)=?/10 change to higher terms please help !!

Answers

Answer:

-7

Step-by-step explanation:

you cant change the numerator if you cant change the denominator

1. If you make 8 1/5 cookies in 1/4 of an hour, how many cookies can you make in one hour? Find
the unit rate.

Answers

Answer:

32.8

Step-by-step explanation:

you divide 8 1/5 by 1/4 to find the unit rate.

2/3 parts of the earth 's surface is covered with water.
(i) Express it in percent.
(II) How many percent is the continental part ?​

Answers

Answer:

Water =2/3× 100%=200/3%=66.67%

So land will be 100% - 66.67%

=33.33

Ben wants to buy a baseball cap that costs $24.50. The state sales tax is 8%, or 0.08. How much will he pay in sales tax?​

Answers

$26.46, multiple 24.50 x 8% which would be 1.96 and add that to 24.50

What is the equation of this line in slope-intercept form 2x+y =2
A. Y=2x+2
B. y=2x-2
C. y=-2x-2
D. Y=2x+2

Answers

The answer is y=-2x+2...but I don’t see that in there. Maybe a typo?

berline.
a. -1
b. 1.75
c. -1.75
d. -2
e. -2 1/2
f.
0

Answers

Answer: I don’t get it where the question for me to read it and find the answer, you just put this

a. -1

b. 1.75

c. -1.75

d. -2

e. -2 1/2

f.

And that all you did but where is the question????

Step-by-step explanation:

What is the product of these binomials?
(x-8)(x + 3) =
O A. x2 - 11x-24
OB. x2 - 11x-5
O C. x2 - 5x-5
O D. x2 - 5x - 24
yeah

Answers

The answer is D, x^2 - 5x - 24
The answer is D:

(x-8)(x+3)
x^2-8x+3x-24
x^2-5x-24

Please help me answer this

Explain you’re answer

Will give braisnlt

Answers

graph c is a function. the others are not functions because they have points that overlap vertically, and there is not one input for every output.

Answer:

C

Step-by-step explanation:

Graph C is a function because if you look at all of the graphs it is the only one that doesn't repeat a point on the same x-axis. For example, On the first graph, it shows that A has to points that has a coordinate of -2, and the rest show that too, except for C.

A pair of tow trucks are pulling on a trailer that is stuck

in mud. The first truck pulls a a pair of tow trucks are pulling on a trailer that is stuck in mud. the first truck pulls with a force of 10,000

pounds at a 110° angle from the second truck, which is

pulling with a force of 7,500 pounds. What is the

magnitude of the resultant force?

9.821 pounds

10,244 pounds

14,405 pounds

24 226 pounds

Answers

Answer:

R=10,244 Lb

Step-by-step explanation:

In order to solve this problem, we can start by drawing the situation. (See attached picture).

We can look at the forces applied by the trucks as vectors, so in this case, in order to find the resultant force, we can add the two vectors. You can do so by drawing one force after the other and join the start of the first force with the end of the second force to form a triangle. The missing side will be the resultant force. In that triangle I drew there, the inner angle will be found by subtracting 180°-110°=70°

In this case we can find the resultant force by using the law of cosines:

[tex]A^{2}=B^{2}+C^{2}-2AB cos \alpha[/tex]

so we can use the data given by the problem:

[tex]R^{2}=T_{1}^{2}+T_{2}^{2}-2T_{1}T_{2} cos \alpha[/tex]

so we can solve this for R, so we get:

[tex]R=\sqrt{T_{1}^{2}+T_{2}^{2}-2T_{1}T_{2} cos \alpha}[/tex]

now we can substitute:

[tex]R=\sqrt{(10,000Lb)^{2}+(7,500Lb)^{2}-2(10,000Lb)(7,500Lb) cos (70^{0})}[/tex]

which yields:

R=10,244Lb

Answer:b

Step-by-step explanation:

Took the test

Estimate.Solve problem

3/6+1/3=

Answers

Answer:

5/6

Step-by-step explanation:

5/6 would be the answer simplified I hope that helps :)

Answer:

5/6 which is 0.83

Step-by-step explanation:

Given: wzx and yzx are right triangles, wx = yx. Prove wxz ~= yx .....plz answer will give brainlyest!!

Answers

Answer:

The answer is below

Step-by-step explanation:

From the question,

Statement                                           Reason

ΔWZX and ΔYZX are                         Given

right angled triangles

WX = YX                                              Given

XZ ≅ XZ                                               Reflexive property. The reflexive  

                                                            property of congruence states that              

                                                            any shape is congruent to itself.

∠XZW = ∠XZY                                     Definition of right angle.

∠XWZ = ∠XYZ                                     Definition of isosceles triangle.

                                                             Triangle XYW forms a right angled  

                                                             triangle since YX = WX

∠XWZ + ∠WXZ + ∠XZW = 180°           Sum of angles in triangle WZX

∠XZY + ∠XYZ + ∠YXZ = 180°            Sum of angles in triangle YZX

∠XWZ + ∠WXZ + ∠XZW =                 Substitution

∠XZY + ∠XYZ + ∠YXZ

∠XYZ + ∠WXZ + ∠XZY =                 Substitution

∠XZY + ∠XYZ + ∠YXZ

∠WXZ = ∠YXZ                                  Simplification

What is the inverse of the function f(x) = 4x + 8?

Answers

Answer:

h(x) = (1/4)x - 2 which is choice A

Step-by-step explanation:

Replace f(x) with y. Then swap x and y. Lastly, solve for y to get the inverse.

f(x) = 4x+8

y = 4x+8

x = 4y+8

x-8 = 4y

4y = x-8

y = (x-8)/4

y = x/4 - 8/4

y = (1/4)x - 2

h(x) = (1/4)x - 2

Solve for x.
x-1 is in exponential form
2^x-1 = 31

Answers

5.95 blah blah i have to add more characters to send the answer

The ratio of Boy students to Girl
students is 8:9. There's 270
student Girls. How many Boys
are there?

Answers

Answer:

240 boys

Step-by-step explanation:

boys/girls = 8/9 = boys/270

so just multiply

boys= 8/9 x 270 = 240

Answer:

240

Step-by-step explanation:

270 * 8/9 = 240

so 240:270 is equivalent to 8:9

I am in desperate need of help

I will give out as many points as I can

please tell me where to place them

Answers

Wait...

This is map!

U are not supposed to be cheating in MAP!

the bottom point is 104! 71+104 =175
i’ll try and work the other points give me a minute!

What should managers use if they want to identify and respond in a timely manner to social and political shifts?

Answers

Answer:

They need to use issues management

Step-by-step explanation:

Due to the fact that social and political shifts are usually quite complex in terms of the possible issues that arise from them, managers are best served to use Issues management because it is an anticipatory and strategic management process which aids organizations in quick & timely detection and response to changes in the socio - political system or environment.

The sum of the interior angles of a triangle is _______. 90° 180° 270° 360°

Answers

I think it’s either 180 or 360

Answer:

180

Step-by-step explanation:

Someone has at least three belts, all of his belt are white except two all of his belts are brown except two All of his belt are blue except two How many belts does he have

Answers

Answer:

Step-by-step explanation step one he has three and two so you have do math.

step two you need to do the math so,tree+two =5.

last step he has 5 so that is it

that is the steps

I GIVEEE BRAINLIST //

Answers

Answer:

-20% aka 20% decrease

Step-by-step explanation:

Answer:

450 %20

Step-by-step explanation:

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