1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
yulyashka [42]
3 years ago
8

Theo can paint a fence three times as fast as his sister can. Working together, they can paint a fence in 9 hours. How many hour

s would it take Theo’s sister to paint the fence by herself?
Mathematics
1 answer:
Deffense [45]3 years ago
8 0

Answer:

12 hours

Step-by-step explanation:

Let Theo's siste can paint a fence in x times

Given.

Theo can paint a fence three times as fast as his sister can. Working together, they can paint a fence in 9 hours.

\frac{1}{x}+\frac{1}{3x} =\frac{1}{9}\\\frac{3+1}{3x} =\frac{1}{9} \\\frac{4}{3x}=\frac{1}{9}

Apply cross multiplication

x=\frac{9\times 4}{3}\\x=\frac{36}{3} \\x=12hours

Theo’s sister to paint the fence in 12 hours.

You might be interested in
A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line: ŷ = 13
Lunna [17]

Answer:

y=6x +135

And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.

For the intercept of 135 represent the amount initial amount of weight for the scale.

Step-by-step explanation:

We assume that they use least squares in order to create the regression equation

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

With these we can find the sums:

And the slope would be:

m=6

The means for x and y are given by:

\bar x= \frac{\sum x_i}{n}

\bar y= \frac{\sum y_i}{n}

And we can find the intercept using this:

b=\bar y -m \bar x

For this case we know that the line adjusted is:

y=6x +135

And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.

For the intercept of 135 represent the amount initial amount of weight for the scale.

3 0
3 years ago
Pls help 20 points!
Rasek [7]
Terms : 12x, 3, 13, 4x
Like Terms : 12x and 4x, 3 and 13
Coefficients: 12, 4
Constants : 3, 13
6 0
3 years ago
Read 2 more answers
The additive nverse of a number a is the number that, when added to a, yields zero. Choose 5 ordered pairs whose first component
Vlad [161]

The points I chose and their connection are shown in the attached graph.

4 0
3 years ago
How many triangles? pls help
Aliun [14]

Answer:

No triangle

Step-by-step explanation:

No triangle

Use sine law, a/sin(A) = b/sin(B)

sin(A) = asin(B)/b = 24sin(35)/6 > 1

A doesn't exist

5 0
2 years ago
What is the slope intercept form (y=mx+b) of the equation 5x-3y=15
Nata [24]

Answer:

y= -5/3 + 5

Step-by-step explanation:

5x-3y=15 first move the 5x to the right side of the equation which becomes 3y= -5x +15 and then divide the whole equation by 3 because u want y to be on its own so then the answer is y= -5/3 + 5

8 0
3 years ago
Other questions:
  • The weight of Darrin's phone is 3.405 ounces. What is 3.405 written in expanded form
    13·1 answer
  • Does the point (9.5, 144) make sense in this context? Explain
    8·2 answers
  • I need help with this work problem please. I put the picture of problem thank you.
    5·1 answer
  • After 3 days a sample of radon-222 has decayed to 58% of its original amount.(
    5·1 answer
  • HELPPPP PLEASEEE !! THIS IS A MATH TEST AND I ONLY HAVE 20 MINS LEFT TO FINISH !!What number should the numerator and denomator
    7·2 answers
  • PLEASE HELP!!! I attached a snip of my question
    13·1 answer
  • PLZ HELP. i dont have a lot of time and i dont understand this problem. the question is on the picture. plz explain
    7·1 answer
  • A negative number is. A positive number
    13·1 answer
  • Pls help I don't wanna get a bad grade make sure you show your work plz
    13·2 answers
  • Solve equation show work
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!