Seth and Ted can paint a room in 5 hours if they work together. If Ted were to work by himself, it would take him 2 hours longer than it would take Seth working by himself. How long would it take Seth to paint the room by himself if Ted calls in sick?

Answers

Answer 1

Answer:

9 hours

Step-by-step explanation:

Let

x = number of hours it would take Seth to work by himself

He would paint 1/x in 1 hour

x + 2 = number of hours it would take Ted to work by himself

He would paint 1/(x + 2) in 1 hour

Seth and Ted = 5 hours

They would paint 1/5 in 1 hour

The equation is this:

1/x + 1/(x + 2) = 1/5

(x + 2)+x/x(x+2) = 1/5

x+2+x / x(x+2) = 1/5

2x + 2 / x(x+2) = 1/5

2x + 2 = x(x + 2)1/5

2x + 2 = (x² + 2x)1/5

5(2x + 2) = x² + 2x

10x + 10 = x² + 2x

x² + 2x - 10x - 10 = 0

x² - 8x - 10 = 0

x = -b ± √b² - 4ac/2a

= -(-8) ± √(-8)² - 4(1)(-10) / 2(1)

= 8 ± √64 - (-40) / 2

= 8 ± √64 + 40) / 2

= 8 ± √104 / 2

= 8 ± 2√26 / 2

= 8/2 ± 2√26/2

= 4 ± √26

= 4 ± 5.0990195135927

= 4 + 5.0990195135927 or 4 - 5.0990195135927

= 9.0990195135927 or -1.Answer:

Step-by-step explanation:

Let

x = number of hours it would take Seth to work by himself

He would paint 1/x in 1 hour

x + 2 = number of hours it would take Ted to work by himself

He would paint 1/(x + 2) in 1 hour

Seth and Ted = 5 hours

They would paint 1/5 in 1 hour

The equation is this:

1/x + 1/(x + 2) = 1/5

(x + 2)+x / x(x+2) = 1/5

x+2+x / x(x+2) = 1/5

2x + 2 / x(x+2) = 1/5

Cross product

2x + 2 = x(x + 2)1/5

2x + 2 = (x² + 2x)1/5

Cross product

5(2x + 2) = x² + 2x

10x + 10 = x² + 2x

x² + 2x - 10x - 10 = 0

x² - 8x - 10 = 0

x = -b ± √b² - 4ac/2a

= -(-8) ± √(-8)² - 4(1)(-10) / 2(1)

= 8 ± √64 - (-40) / 2

= 8 ± √64 + 40) / 2

= 8 ± √104 / 2

= 8 ± 2√26 / 2

= 8/2 ± 2√26/2

= 4 ± √26

= 4 ± 5.0990195135927

= 4 + 5.0990195135927 or 4 - 5.0990195135927

= 9.0990195135927 or -1.0990195135927

Approximately,

x = 9 hours or -1 hour

It can't take Seth negative hours to work

Therefore,

x = number of hours it would take Seth to work by himself = 9 hours


Related Questions

Find the value of x in each case:
NEED IT NOW PLEASE

Answers

Angle QNM is =x by alternate angle reason (QU is parallel to MP)

X = 69

Suppose you just received a shipment of 14 televisions. Three of the televisions are defective. If two televisions are randomly selected , compute the probability that both televisions work. What is the probability at least one of the two televisions does not work?

Answers

Answer:

Probability of defective televisions : Now, If two televisions are randomly​ selected, then the probability that both televisions work. Hence, the probability that both televisions work is 0.5289 . Hence, the probability at least one of the two televisions does not​ work is 0.4711.

help me with these questions ​

Answers

Answer:

24

Step-by-step explanation:

:) im in 8th do i already know this stuff

Couch johnson needs to buy shirts for his soccer players. He finds a package of 2:shirts for 16.00. How much will it cost to buy 18 shirts?

Answers

Answer:

144

Step-by-step explanation:

We can write this as 2 shirts = 16.00 . Then, we can write this as a ratio, where

2 shirts / 16.00 = 18 shirts/ cost of 18 shirts as the cost for a pair of shirts remains the same, so the ratio will as well.

Therefore, writing the cost of 18 shirts as c, we have

2 shirts/16.00 = 18 shirts/c

multiply both sides by c to remove a denominator

2 shirts * c/16.00 = 18 shirts

multiply both sides by 16 to remove the other denominator

2 shirts * c = 18 shirts * 16

divide both sides by 2 shirts to isolate the c, as we want to figure that out

c = 18 shirts * 16/2 shirts

c=144

A school band found they could arrange themselves in rows of 6, 7, or 8 with no one left over. What is the minimum number of students in the band?

Answers

Answer:

168 is the answer if i m not wrong.I took the LCM.

If school band found they could arrange themselves in rows of 6, 7, or 8 with no one left over, the minimum number of students in the band is 168.

To find the minimum number of students in the band, we need to determine the least common multiple (LCM) of the numbers 6, 7, and 8.

The LCM is the smallest multiple that is divisible by all the given numbers.

Prime factorizing each number, we have:

6 = 2 * 3

7 = 7

8 = 2 * 2 * 2

To find the LCM, we take the highest exponent for each prime factor:

2³ * 3 * 7 = 168

By having 168 students, they can arrange themselves into rows of 6 (28 rows), 7 (24 rows), or 8 (21 rows) without anyone being left over. Any fewer than 168 students would result in at least one row having students left over.

To learn more about LCM click on,

https://brainly.com/question/1771764

#SPJ2

ASAP What is the rule for this relation? i will give brainliest

Answers

Answer:

your selected answer is right

I need help please it’s for math

Answers

Answer:

139

Step-by-step explanation:

Since the given is a parallelogram then angle <D and angle <B are equal angles

10x - 21 = 9x - 5

10x - 9x = 21 - 5

x = 16 replace x with 16 to find the measure of angle <B

16*9 - 5 = 139

A developer wants to purchase a plot of land to build a house. The area of the plot can be described by the following expression: (5x+1)(7x−7) where x is measured in meters. Multiply the binomials to find the area of the plot in standard form

Answers

Answer:

35x^2 - 28x - 7

Step-by-step explanation:

Will give brainliest answer please give explanation


If this block dropped into 23.0mL of water, what will the new volume be?

Answers

The information for volume of the block is missing.

Volume of block X 1ml/1cm^3 = x mL

23.0 mL + x = final answer mL

21.Factorize : x² +10x+21
22.Factorize: x² -2x-35
23.Solve : 2x+28 = 9x-56​

Answers

Step-by-step explanation:

21.

x²+10x+21x²+3x+7x+21x(x+3)+7(x+3)(x+3)(x+7)

22.

x²-2x-35x²-5x+7x-35x(x-5)+7(x-5)(x-5)(x+7)

23.

2x+28=9x-5628+56=9x-2x84=7xx=84/7x=12

hope it helps

stay safe healthy and happy..

Answer:

21. (x+7)(x+3)

22. (x-7)(x+3)

23. 12

Step-by-step explanation:

X^2+10x+21

(X+7)(x+3)

(We know that 7*3 is equal to 21 and that 7+3= 10)

Now try the same thing for 22.

(X-7)(X+5)

(-7*5= -35 . and -7+5=-2)

23. Use SPOE to get like terms to one side:

-7x=-84

Then use DPOE to find the value of X

x=12

Find the slope of the line containing the pair of points.
(-3,1) and (1, - 11)

Answers

Answer:

Step-by-step explanation:

slope = (y2 - y1)/(x2 - x1)

x2 = -3

x1 = 1

y2 = 1

y1 = - 11

slope = (1 - - 11) / (-3 - 1)

slope = 12 / - 4

slope = - 3

Jack brought a new set of golf clubs of $186.75. The original price was $249. What percent of the original price did he pay?
133.3%
33.3%
25%
75%

Answers

Answer: 75%

Step-by-step explanation:

186.75/249 =.75

.75x100

75%

1000^1000

i would like to simplify it into 10^x, how?

Answers

Answer:

10^3000

Step-by-step explanation:

1000¹⁰⁰⁰

= (10³)¹⁰⁰⁰

= 10^(3×1000)

= 10³⁰⁰⁰ or 10^3000

Answered by GAUTHMATH

What is the simplest form of 0.0115

Answers

23/200

Hope this helps! :)

Answer:

23/2000

Step-by-step explanation:

0.0115 can be written as 115/10000

=23/2000

Please mark me as brainliest.

what is 3 squared ÷ 48 - 6​

Answers

Answer:

[tex] {3}^{2} \div 48 - 6 \\ 9 \div 48 - 6 \\ = - 5.8125[/tex]

-5.8125 100% correct jus took it lol:)

Multiply the polynomials 3(x+7) (show work pls)

Answers

Answer:

3x + 21

Step-by-step explanation:

(3)(x+7)

Now, we distribute the 3 in each term of (x+7)

So, 3*x = 3x and 3*7 = 21.

So our resulting term would be 3x+21.

Find the value of X in each case:

Answers

Answer:

hi, see mate the third angle is not in the photo, please upload another one

-11 + 4(3+1) + 3(5-9) + 7(6-8) + 25

Answers

Answer:

4

Step-by-step explanation:

-11 + 4(3+1) + 3(5-9) + 7(6-8) + 25

-11+4*4+3*-4+7*-2+25

-11+16+-12+-14+25

4

Finding probabilities associated with distributions that are standard normal distributions is equivalent to​ _______.

Answers

Answer:

finding the area of the shaded region representing that probability.

Step-by-step explanation:

In a normal distribution, standardardized probability is usually represented digramatically by a sketch which covers the area which always has a mean of 0 and a standard deviation of 1. The mean value is the midpoint of the area under the curve and has an equal difference of 1 to either side of graph which represents the standard deviation. The area of the shaded region under a normal probability curve represents the probability of associated with that particular standardized value.

The park is 18 miles east of my home. The library is 12 miles north of the park. How far is my home from the library?
35 miles
21.6 miles
8.2 miles
18.6 miles

Answers

Answer :
21.6
Explanation :
Use Pythagorean theorem to solve it a^2+b^2=c^2

Answer:

21.6 miles

Step-by-step explanation:

If you draw, it'll be a right triangle with legs 12 miles and 18 miles, we need to find the hypotenuse.

So,

[tex] \sqrt{ {12}^{2} + 18^{2} } [/tex]

[tex] = \sqrt{144 + 324} [/tex]

[tex] = \sqrt{468} [/tex]

[tex] = 6\sqrt{13} [/tex]

6√13 ≈ 21.6

Answered by GAUTHMATH

when a force of 400N is applied on a body at angle of 60 degree to the horizontal displacement,the body covers a distance of 8m.what is the work done?

Answers

Answer:

1600N

Step-by-step explanation:

Force = 400 N

Angle with horizontal = 60°

Displacement in horizontal direction = 8 m

work done formula when angle is included: Force * distance * cos(angle)

400 * 8 * cos(60)

= 400 * 8 * 1/2

= 1600N

Solve the system of equations using the elimination method. 5x + 10y = 3 10x + 20y = 8

Answers

Answer:

Can not be solved

Step-by-step explanation:

5x+10y = 3............. Equation 1

10x+20y = 8 ............ Equation 2

From the equation above,

both equations can not be solved by elimination method, because both variables will be eliminated

The graph below represents the distance of a dog from a trainer after a command is given.



Which statement could describe the dog’s movement 5 seconds after the command was given?

The dog stopped to lie down and obey the trainer’s command.
The dog was running towards the trainer to receive a treat.
The dog was running away from the trainer to chase a squirrel.
The dog was stopped but began running towards the trainer.

Answers

Answer:

.

Step-by-step explanation:

-5(8a+1)+6=281
Does anyone know the answer

Answers

Step 1: Distribute

-40a - 5 + 6 = 281

Step 2: Combine Like Terms

-40a + 1 = 281

Step 3: Move Variables and Constants to Different Sides

-40a = 280

Step 4: Divide

a = -7

Hope this helps!

a = -7

Step-by-step explanation;

-5 ( 8a + 1 ) + 6 = 281

Step 1 :- Distribute -5 through parantheses.

-5 × 8a + 5 × 1 + 6 = 281-40a - 5 + 6 = 281

Step 2 :- Combine like terms.

-40a + 1 = 281

Step 3 :- Move constant to right-hand side and change their sign.

-40a = 281 - 1

Step 4 :- Subtract the numbers.

-40a = 280

Step 5 :- Divie both side by -40 .

-40a / -40 = 280 / -40a = -7

Write the sum of three odd consecutive integers if the last one is m-2

Answers

Answer:

the sum is 3m-12

Step-by-step explanation:

The nunbers are:

[tex]m-2\\m-4\\m-6\\the~sum~is:\\sum=(m-2)+(m-4)+(m-6)\\sum=m-2+m-4+m-6=m+m+m-2-4-6\\sum=3m-12[/tex]

The sum of three odd consecutive integers is 3m - 12

What are odd integers?

"These are the integers which are not divisible by 2."

For given question,

We need to find the sum of three consecutive odd integers.

Let x, x + 2, x + 4 be three consecutive odd integers.

We have been given the last one is m - 2

This means x + 4 = m - 2

So, the second odd integer would be,

x + 2 = m - 4

and the first odd integer would be,

x = m - 6

, we find the sum of the three odd consecutive integers.

⇒  (m - 6) + (m - 4) + (m - 2)

= m + m + m - 6 - 4 - 2

= 3m - (6 + 4 + 2)

= 3m - 12

Therefore, the sum of three odd consecutive integers is 3m - 12

Learn more about the odd integers here:

https://brainly.com/question/18365251

#SPJ2

Which is equivalent to (-m)4x n2 ?

Answers

Answer:

a.) m⁴n²

Step-by-step explanation:

( -m)⁴ × n ²

A negative base raised to an even powers equals a positive.

m ⁴ × n²

multiply the terms

m⁴n²

Answer:

a.) m⁴n²

Step-by-step explanation:

yea

Rewrite the expression by factoring out (u-8).3u^2(u-8)-2(u-8)

Answers

Answer:

The rewritten expression is [tex](u - 8)(3u^2 - 2)[/tex]

Step-by-step explanation:

We are given the following expression:

[tex]3u^2(u - 8) - 2(u - 8)[/tex]

Factoring out (u-8)

Place (u-8) to the front, and then divide each term by (u-8). So

[tex]3u^2(u - 8) - 2(u - 8) = (u - 8)\left[\frac{3u^2(u - 8)}{u - 8} - \frac{2(u-8)}{u - 8}\right] = (u - 8)(3u^2 - 2)[/tex]

The rewritten expression is [tex](u - 8)(3u^2 - 2)[/tex]

4+4+8+8+422+33+65520222222+222

Answers

Answer:

4+4+8+8+422+33+65520222222+222= 65,520,222,923

what is the formula for triangle​

Answers

Answer:

A = 1/2 b × h

Step-by-step explanation:

hope it helps !!!!

Answer:

The formula for the area of a triangle is 1/2bh.  

Which of the following best describes the number below square root of -7
A. Perfect square
B.composite
C.imaginary
D.positive

Answers

Answer: The ans is imaginary . option c

Other Questions
Which drawing is structural model of C3H8? If you select a random sample of 6 people, what is the probability that all but one of them are using Chrome as their browser? (show all work - use data below)Use the data provided below:Chrome: 52.57%Safari: 31.17%Firefox: 4.29%Edge: 2.91%IE: 2.47%Samsung: 2.36% HELP!!!! The diagram below shows a portion of the water cycle. What does Y most likely represent Graph this function: y= -5/3x+6 who benefits from a loan?A - only the person who is given the loan by a bank?B - only the bank who gives the loan to a personC - both the person who gets the loan and the bank that loans the moneyD - no one benefits when a loan is given out someone help me for this algebra task please civil rights movement - Rewrite the following expression.A. B. C. D. During the year, Gary, the sole shareholder of a calendar year S corporation, received a distribution of $16,000. At the end of last year, his stock basis was $4,000. The corporation earned $11,000 ordinary income during the year. It has no accumulated E & P. Which statement is correct?a. Gary recognizes a $1,000 LTCG.b. Garys stock basis is $2,000.c. Garys ordinary income is $15,000.d. Garys tax-free return of capital is $11,000. 16. Write out the number "1647." 21. In each of the following situations, attribute theFundamental Right guaranteed:a. A child of an HIV positive parent seeks admission in asecondary school.b. In a remote village a poor woman is forbidden to takewater from a particular well, though all the other wellsare dryc. Atul's father has been transferred to a beautiful hillstation after living in the plains for a long time.d. The poor labourer has sent his minor son to work inthe fireworks factorye. John goes to the church for the morning mass onevery Sunday, while his friend Ali attends eveningprayers in the mosque on Fridays and their colleagueArjun offers flowers at the feet of goddess Saraswati. The Red Line Below is Parallel To which of the following?A. The x-axisB. The originC. the y-axisD. None of those Mary and her younger brother Alex decide to ride the carousel at the State Fair. Mary sits on one of the horses in the outer section at a distance of 2.0 m from the center. Alex decides to play it safe and chooses to sit in the inner section at a distance of 1.1 m from the center. The carousel takes 5.8 s to make each complete revolution.Required:a. What is Mary's angular speed %u03C9M and tangential speed vM?b. What is Alex's angular speed %u03C9A and tangential speed vA? packaging materials for processed the purpose of antitrust law is to A bricklayer needs to order 6 300 kg of building sand.a) Write 6 300 kg in grams, giving your answer in standard form.One grain of this sand approximately weighs 7 x 10g.b) How many grains of sand are there in 6 300 kg of sand? Give your answer in standard from. 4. My sister ............ from Meerut presently. (return) Quadrilateral ABCD is reflected across the x-axis and then reflect across the y-axis to form quadrilateral ABCD. If the coordinates of vertex A are (-7, 3), what are the coordinates of vertex A? Write a recursive function that calculates the sum 11 22 33 ... nn, given an integer value of nin between 1 and 9. You can write a separate power function in this process and call that power function as needed: Beth wants to build a thin wire frame for a photo that is $$15 cm long and $$6 cm wide. What length of wire will she need to go around the entire photo?