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

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

Answers

Answer:

c is right

Step-by-step explanation:

Answer:

It's C i just did it

Step-by-step explanation:

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
AB + BC = AC
a is parallel to b
m is parallel to l
AB = BC

Answers

Answer:

I think that the answer is AB+BC=AC

cashapp me $AndrewTkacs​

Answers

Answer:

sure when i have money

Step-by-step explanation:

i don't have money lol

5+root2 over 4+root8

Answers

hope this helps !! :)

What is 15% of 82?

PLEASE HELP ME IT I DON'T KNOW IT

Answers

Answer: the answer is 12.3

Step-by-step explanation:

Just do 15/100(82)

the answr is 12.3 lmk if its right

CAN SOMEONE HELP ME PLSSS​

Answers

Answer:

Step-by-step explanation:

3 is the answer

The answer would be the first sentence

can you help me with this? 4

Answers

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!

Find the total interest:
$930 at 4%
for 8/2 years

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.

which equation represents a line which is parallel to the line y=-2/3x-1

Answers

Answer:

Step-by-step explanation:

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

y = - 2/3 x - 1                     multiply by 3

3y = -2x - 3                       add 2x to both sides

3y +2x   = - 3        

Only the answer on the lower left looks the left side of the above equation.

2x + 3y = - 24 is your answer.

write an equation for a line through (1,-1) and (2,3)

Answers

Answer:

y = 4x - 5

Step-by-step explanation:

Use the point slope form and add in the ordered pairs [tex]\frac{3 + 1}{2 - 1}[/tex] , and once you solve this it equals [tex]\frac{4}{1}[/tex], or just 4. Now you have the first part of your equation, y = mx + b, but now you have y = 4x + b. To find b, substitute the x and y values of one of the given ordered pairs in for x and y in the equation, and I am using (2,3). The equation now looks like this: 3 = 4(2) + b. Now solve: 3 = 8 + b

Subtract 8 from both sides to get -5 = b. Now you have a full equation: y = 4x -5

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 :)

Can someone help me graph these. y=-1/2x-7 y=1/6x-3

Answers

Answer:

Graph is in the picture below

Step-by-step explanation:

What is the rate of change of the function?

-3
-1/3
1/3
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

Plz someone help me I’ve been stuck for a bit my dad won’t help me

Answers

Answer:

Not very good at these but prob 1st and last

Step-by-step explanation:

find the slope pleaseeee

Answers

the slope would be -2 :)

Please help me, I don't understand

Answers

Answer:

hope this helps, happy learning!!!

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:

rate of change graphs

Answers

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.

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

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

Hope it helped

Have a great day

how many pools can dave clean in 10 hours if he can clean pools at a constant rate of 3/5 pools/hour​

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

a bowling alley charges $7 for each game, plus a one time shoe rental charge $9. write an expression for the coat of dollars, c and number of games played, in g

Answers

Answer: c = 7g + 9

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

7(3) + 9 = 30


Please help!!
(Question in the picture)

Answers

Perpendicular,
Explanation:
I just drew it down on paper

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.

You have $84.25. You earn additional money by mowing lawns. Then you purchase a new pair of
shoes for $75.49 and have $63.76 left. How much money do you earn mowing, m, lawns? Write
an equation, then solve.

Answers

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

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
= $2.31 tip

Answer:

Jacksons Tip: $2.31

Total: $17.71

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

Answers

let’s say x=2

(8(2)-2)=14

(7(2)+7)= 21

(5(2)-5)=5

so the smallest would be the third one

Can you divide 38 by 4 evenly? Use the number line to explain your answer. 38 You cannot divide 38 by 4 evenly. Using the number line, you can count back from 38 by 4s times until you reach the number . Then you cannot count back by 4 any more, so the remainder is .

Answers

Answer:

No there will be 2 left.

Step-by-step explanation:

count backwards from 38 by 4's

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

The candle burns at a rate of 1 inch per hour.

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.

∴ The rate at which it burns per hour is the total length of the candle divided by the total time it brunt for which is,

= (12/12) inch/hr.

= 1 inch/hr,

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ2

4x-3y=9
x-3y=6 solve the following systems of equations by graphing

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)

Therefore, we get the coordinates of the equations, now when we plot the graph, both the lines will intersect at a point and that point will be the solution of the systems of equations,

The lines are intersecting at (1, -1,667).

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

Learn more about systems of equations, click;

https://brainly.com/question/90105

#SPJ1

Other Questions
Read the following dictionary entry. chat ter \chat-er\ 1. (v.) to talk rapidly without making sense 2. (n.) to make speech-like sounds, as certain animals do 3. (n.) meaningless or ridiculous talk 4. (n.) a series of ridges on the surface of metal Which sentence best uses the word chatter with the definition to make speech-like sounds, as certain animals do? Which sentence best uses the word chatter with the definition to make speech-like sounds, as certain animals do? The faster you speak, the more you are beginning to chatter. Andre ran his fingers across the uneven lines of chatter. Im sure once they get their food, the monkeys will start to chatter. She wanted to understand them, but their words were nothing but chatter. Which best describes adenosine triphosphate (ATP)? dominant genes mask recessive genes are represented by lower xase letters are only inherited from the male parent are masked by recesive genes Hi, I was wondering if someone can revise my final PIE paragraph is due today at 12am thanks. Jodi, Jan, and Seth peered out the window. They could not believe that a line was forming! Their flier had advertised tryouts for a garage band guitarist, because Epic Noise had been one musician short since their friend Zach moved to Michigan. Now it looked as though their need would be met. Eleven or twelve kids their age lined the driveway, some propping up oversize cases, and others with guitars strapped on their backs. The three hosts of the audition believed that they would find what they were listening for among the assembled crowd.Which statement best summarizes this paragraph? use the diagram to solve x and y what is 4.5 x 10 in standard notation Romans often erected statues to honor important or influential _______.A. statesmenB. generalsC. gladiators During bowling practice, Marley rolled 14 strikes out of 70 attempts.What percent of Marleys attempts were strikes? Enter your answer in the box. Which of the following best explains how Moses Austin benefited from the economicdepression in America and Spanish fears of invasion? hello i need helpSelect the phrase that best completes each sentence. Ancient belief systems helped people__. Most ancient peoples believed in __question 1s answers: a. start cities b. prevent sicknessc. make sense of the worldquestion 2s answers:a. no godsb. many godsc. just one god Which topic would be the strongest focus for a personal narrative? A:resolving an argument with a friendB:choosing a new outfit to wear to schoolC:describing a new movie that just came outD:picking a favorite pair of sneakers or shoes What chemical properties of water determines what organisms live there? A box contains orange balls and green balls. The number of green balls is six more than four times the number of orange balls. If there are 86 balls altogether, then how many green balls and how many orange balls are there in the box? 53y+8 Please help!! Find x and CB What does marijuana come from? Where can it be grown? Is it physically addictive? be specific Evaluate the expression when a=3 and c = -2. C-5a Carolines cell phone plan costs $32 per month. Which table shows the sum of the amounts that Caroline will pay for her cell phone plan over the next 4 months? What inequality is represented by this graph?