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Rudiy27
3 years ago
11

Last week Amy ran 31 miles more than Ryan. Amy ran 40 miles. How many miles did Ryan run? I have to write an equation and solve

it so please explain how to do this, thank you!
Mathematics
2 answers:
Korvikt [17]3 years ago
8 0
Variable x is ryans miles
amy-ryan=answer
40-31=x
x=9
ryan ran 9 miles
hope this helps
40-31=x is the equation
Komok [63]3 years ago
8 0
Well if Amy ran 31 miles more than Ryan, and she ran 40 miles all together, than you simply just subtract 31 from 40.  Write it on paper like this:

      40
    - 31
    -------
you cant take 1 from 0 so instead you "borrow" from the number next to it which would be the 4. you never take more than 1 from a number when borrowing. so take 1 from 4, place the 1 by the 0 now, making the 4 a 3 and 0 a 10. now you can subtract the 1 from the 10, making it a 9. then you subtract 3 from 3 and the answer you get is 9.
    
 
I hope this helped!
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Write the polar equation in rectangular form.
zhuklara [117]

Answer:

Step-by-step explanation:

The identities you need here are:

r=\sqrt{x^2+y^2}  and   r^2=x^2+y^2

You also need to know that

x = rcosθ  and

y = rsinθ

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We have

r = 6 sin θ

Let's first multiply both sides by r (you'll always begin these this way; you'll see why in a second):

r² = 6r sin θ

Now let's replace r² with what it's equal to:

x² + y² = 6r sin θ

Now let's replace r sin θ with what it's equal to:

x² + y² = 6y

That looks like the beginnings of a circle.  Let's get everything on one side because I have a feeling we will be completing the square on this:

x^2+y^2-6y=0

Complete the square on the y-terms by taking half its linear term, squaring it and adding it to both sides.

The y linear term is 6.  Half of 6 is 3, and 3 squared is 9, so we add 9 in on both sides:

x^2+(y^2-6y+9)=9

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x^2+(y-3)^2=9

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Fun, huh?

5 0
2 years ago
The box and whisker plots below show two classes' semester grades. Write a paragraph comparing the two sets of
oksano4ka [1.4K]

The paragraph to show the comparision between two classes semester grades on the basis of the terms

  • extremes
  • quartiles
  • medians
  • ranges

is given below:

<h3>What is Box and Whisker plots?</h3>

A box and whisker plot is defined as a graphical method of displaying variation in a set of data.

From the first figure, write all the values where dark point is drawn

53, 62, 80, 86, 89  

  • The lower extreme is the smallest value, which is 53.

        The upper extreme is the highest value, which is 89.

  • The median will be the middle of data , which is 80

  • The upper quartile is the median of the upper region and the lower quartile is the median of the lower region.

        The upper quartile is 86 and the lower quartile is 62.

  • Range of the data be,

       = Highest - Lowest

       =89-53

       =36

From the second figure, write all the values where dark point is drawn

56, 62, 74, 89, 96

  • The lower extreme is the smallest value, which is 56.

        The upper extreme is the highest value, which is 96.

  • The median will be the middle of data , which is 74.

  • The upper quartile is the median of the upper region and the lower quartile is the median of the lower region.

       The upper quartile is 89 and the lower quartile is 62.

  • Range of the data be,

       = Highest - Lowest

       =96-62

       =34

From the above discussion,  

  • The First class have less upper extreme value than the second class.
  • The First class have less lower extreme value than the second class.
  • The First class have greater median than the second class.
  • The First class have less upper quartile than the second class.
  • The First and second class have equal lower quartile.
  • The First class have greater range than the second class.

The comparision of the two classes on the basis of extremes, quartile, median, range is concluded above.

learn more about box and whisper plot here:

brainly.com/question/11859288

#SPJ1

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Answer:

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