Working together, Candice and Ximena painted a fence in 8 hours. Last year, Ximena painted the fence by herself. The year before, Candice painted it by herself, but took 12 hours less than Ximena took. How long did Candice and Ximena take, when each was painting alone?

Answers

Answer 1

Answer: Time taken by Ximena to paint the fence alone  = 24 hours

Time taken by Candice to paint the fence alone = 12 hours

Step-by-step explanation:

Let x= Time taken by Ximena to paint the fence alone .

Time taken by Candice to paint the fence alone = x-12

As per given , we have

[tex]\dfrac{1}{x}+\dfrac{1}{x-12}=\dfrac{1}{8}\\\\\Rightarrow\ \dfrac{x-12+x}{x(x-12)}=\dfrac{1}{8}\\\\\Rightarrow\ 8(2x-12)=x^2-12x\\\\\Rightarrow\ 16x-96=x^2-12x\\\\\Rightarrow\ x^2-12x-16x+96=0\\\\\Rightarrow\ x^2-28x+96=0\\\\\Rightarrow\ x^2-4x-24x+96=0\\\\\Rightarrow\ x(x-4)-24(x-4)=0\\\\\Rightarrow\ (x-4)(x-24)=0\\\\\Rightarrow x=4, 24[/tex]

if x= 4

Time taken by Ximena = 4 hours

Time taken by Candice = 4-12 hours =-8 hours which is not possible. (time cannot be negative)

Therefore, x= 24

Such that

Time taken by Ximena to paint the fence alone  = 24 hours

Time taken by Candice to paint the fence alone = 24-12=12 hours


Related Questions

solve for n
5m+11n equals d

Answers

Answer:

n = d/11 - 5m/11

Step-by-step explanation:

Subtract 5m from both sides.

( 11n = d-5m )

divide each term by 11 then simplify.

line AC has a length of 4 and line DE has a length of 2. describe the relationship in geometric terms

Answers

They are similarly perpendicular

Answer:

AC and DE are parallel to each other, and DE is half the length of AC.

Step-by-step explanation:

Here is the answer from Plato. Hope this helps :)

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Answer:

88

Step-by-step explanation:

m<ACB is equal to m<ABC because when to split the triangle down the middle and reflect one half you would have the same open shape. So by knowing that, you add 46+46 to get 92. Also knowing a triangle is equal to 180, you would end up subtracting 92 from 180 to get 88.

hope this helps!

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the slope would be -2 :)

cashapp me $AndrewTkacs​

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Answer:

sure when i have money

Step-by-step explanation:

i don't have money lol

Several paint mixtures are made by mixing blue paint and white paint. Paint Colors Blue Paint White Paint Mixture A 5 cups 12 cups Mixture B 6 cups 6 cups Mixture C 4 cups 12 cups Mixture D 5 cups 6 cups Which mixture has the lowest ratio of blue paint to white paint? mixture A mixture B mixture C mixture D

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Answer:

c is right

Step-by-step explanation:

Answer:

It's C i just did it

Step-by-step explanation:

3. Find the measure of the smallest
angle. Explain.
(8x - 2)
(7x + 7)
(5x - 5)

Answers

let’s say x=2

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Please help!!
(Question in the picture)

Answers

Perpendicular,
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I just drew it down on paper

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Answers

Answer: c = 7g + 9

For example, if you play three games your cost will be $30 dollars.

7(3) + 9 = 30

the temperature in a town is -2.7c the temperature decreases 3c what is the new temperature

Answers

Answer:

The new temperature is -5.7 C.

Step-by-step explanation:

You just have to subtract 3 from -2.7.

-2.7 - 3 = -5.7

Find the total interest:
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Answers

Answer:

297.60

Step-by-step explanation:

Answer: The answer is $148.80 in total intrest.

Step-by-step explanation: Remember, Intrest = principal x rate x time. Multiply 930, 0.04, and 8/2. The final answer is $148.80.

4x-3y=9
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Answers

The solution of the systems of equations is (1, -1,667).

What is a system of equations?

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought

Given that, a system of equations, we need to solve them graphically,

The equation are =

4x-3y = 9....(i)

x-3y = 6....(ii)

To solve by graphically, we will first plot the graph,

Finding the coordinates for same,

Equation (i)

4x-3y = 9

Put x = 0,

y = -3

a) (0, -3)

Put x = 3,

y = 1

b) (3, 1)

Equation (ii)

x-3y = 6

Put x = 0,

y = -2

c) (0, -2)

Put x = 3,

y = -1

d) (3, -1)

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Hence, the solution of the systems of equations is (1, -1,667).

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The y-values change 6 units every time the x-values change 1 unit, on this interval. Finding average rate of change from a graph. Function g (x) is shown in the graph at the right.

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Answers

Answer: so the answer is 60/5

Step-by-step explanation: first you get 3/5 and times that by 10 3/5 3/5x5 = 150/5 150x2 300/5 you can simply that to 60/5

I’m so sorry if I got this wrong

Why are the solutions to the proportions StartFraction 50 over x EndFraction = StartFraction 10 over 20 EndFraction and StartFraction 10 over 50 EndFraction = StartFraction 20 over x EndFraction the same? because both result in the equation 20 x = 500, which simplifies to x = 25 because both result in the equation 20 x = 500, which simplifies to x = 250 because both result in the equation 10 x = 1,000, which simplifies to x = 10 because both result in the equation 10 x = 1,000, which simplifies to x = 100

Answers

Answer:

because both result in the equation 10 x = 1,000, which simplifies to x = 100

Step-by-step explanation:

50 / x = 10/20

Cross product

50 * 20 = x * 10

1000 = 10x

x = 1000 / 10

= 100

10/50 = 20/x

Cross product

10 * x = 50 * 20

10x = 1000

x = 1000/10

= 100

The answer is :

because both result in the equation 10 x = 1,000, which simplifies to x = 100

Answer: trump 2020 MAGA

Step-by-step explanation:

a 12 inch candle burns down in 12 hours. at what rate does the candle burns, in inches per hour?​

Answers

Answer:

1 inch per hour because it took 12 hours to burn a 12 inch candle so 1 inch per hour

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What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A 12-inch candle burns down in 12 hours.

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= 1 inch/hr,

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Answers

Answer:

Step-by-step explanation:

3 is the answer

The answer would be the first sentence

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Answers

Answer: the answer is 12.3

Step-by-step explanation:

Just do 15/100(82)

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-3
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3

I will mark as Brainlist Please hurry!!

Answers

Answer:

3

Step-by-step explanation:

rise/run is how you find the slope and the slope is the ROC

From the figure and statement provided, select the proper TO PROVE statement.



If two angles of a triangle are equal, the sides opposite those angles are equal.

MN = AB
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a is parallel to b
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Answers

Answer:

I think that the answer is AB+BC=AC

On a field trip, there are 8 adults and 24 students. What is the ratio of students to the total number of people on the field trip? 8 to 24 1 to 4 32 to 24 3 to 4

Answers

Answer:

1/4!

Step-by-step explanation:

8 + 24=32

32 ÷ 8 = 4

8x4=32

There is only one 8 so it would be 1/4

Hope this made sense :)

Answer:

The ration is 24:32, or 3:4

Step-by-step explanation:

I know you don't care about an explanation, and just want the answer, but I'll still explain it.

The total people on the trip are the number of kids+the number of adults. We get 32.

Now, the number of kids on the trip is 24 right? The ratio right now is 24:32. We can simplify this dividing the entire thing by 8, so the number isn't as big. Once we do that, we see that our answer is 3:4

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Answer:

Graph is in the picture below

Step-by-step explanation:

5+root2 over 4+root8

Answers

hope this helps !! :)

ALGEBRA PLEASE HELP

Jackson's meal costs $15.40. How much money should he leave for a 15% tip?

Answers

15.40 times 0.15
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Answer:

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Answers

Answer:

No there will be 2 left.

Step-by-step explanation:

count backwards from 38 by 4's

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Answers

Answer:

y = 4x - 5

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

The first step is to get the given equation to look like the answers provided.

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Please help me, I don't understand

Answers

Answer:

hope this helps, happy learning!!!

You have $84.25. You earn additional money by mowing lawns. Then you purchase a new pair of
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an equation, then solve.

Answers

You earned $54.99 84.25-75.49=8.76. 63.75-8.76 there you go
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