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il63 [147K]
3 years ago
9

If a plane can travel 450450 miles per hour with the wind and 410410 miles per hour against the​ wind, find the speed of the win

d and the speed of the plane in still air.
Mathematics
1 answer:
Artemon [7]3 years ago
8 0
The plane speed in still air is the average of the two speeds: 430 miles/hour.
The wind speed is half the difference of the two speeds: 20 miles/hour.
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a millionaire leaves 4/17 of his estate to his son, 7/13 to his wife, 2/3 to his daughter and the remaining 2 million to his dog
ss7ja [257]
Comment
I'm going to do this two ways, one using a calculator and one not.
Let the total amount of his estate be x.

Equation and Solution
If you have a calculator with an a b/c key on it you can do this problem easily, or at least the fractional part will be easy.

First: develop the  equation
(4/17) x + (7/13)x + 2/3 x + 2 000 000  

Solve the equation
Use the a b/c key on your calculator if you have one. If not go down the second solution part. Put a fraction in as follows.
4 a b/c 17 + 7 a b/c 13 + 2 a b/c 3 = 
You should get 1 r 16 r 51 
What this translates into is 1 292 / 663 of x
or 955/663 x + 2000000

So the total of fhis estate is
(955/663) x + 2000000 <<<< answer In decimal form you get
1,44 x + 2000000 <<<< answer in decimal.

Note: you cannot solve this to the exact amount of his estate because the fractional amount exceeds x which assumed to be the total amount of his estate.

By hand
Find the ;lowest common denominator of 13 17 and 3. Since all of them are prime numbers the lowest common denominator is 13 * 17 * 3 = 663
\
Next set up the 3 fracttions so the denominator = 663
4 / 17 =( 4 * 13 * 3) / 663 = 156 / 663

7/13 = 7 * 17*3 / 663 = 357 / 663

2/3 = 2*13 * 17 / 663 = 442 / 663

Now add these up 156/663 + 357/663 + 442/663 = 955 / 663 This is irreducible
This fraction is over 1 so it cannot represent the total amount in his estate. It is too large.    

(955/663)x + 2000000 <<<<<< fractional answer
1.44x + 2000000 < decimal answer.
3 0
3 years ago
Read 2 more answers
Find the mean of 9 13 9 10 10 9 10 10 11 9
Novay_Z [31]
Mean = it's really just another word for average. You add all the values up together, and divide the sum by the number of values there are. So here :

9 + 13 + 9 + 10 + 10 + 9 + 10 + 10 + 11 + 9 = 100

And now, you count how many values there are ^ up there. There are 10 values (just count how many numbers there are) and then you have to divide 100 by 10. 

100 ÷ 10 = 10

Your MEAN is : 10
6 0
4 years ago
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Using the general form of complex numbers a + bi, what are the values of a and b for the number i - 6?
Allushta [10]

Answer: a=-6; b=1

Explanation:

This is the same thing as saying -6+1i. Therefore for the general form a+bi, a equals -6 and b equals 1

5 0
3 years ago
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40. Find UW.<br> T<br> 6<br> 5<br> U +-<br> The measure of UW is<br> type your answer...
Ahat [919]

Answer:

9

Step-by-step explanation:

UT^2 = UV * UW

6^2 = (x - 7)(x - 7 + 5)

36 = (x - 7)(x - 2)

36 = x^2 - 2x - 7x + 14

x^2 - 9x - 22 = 0

(x - 11)(x + 2) = 0

x - 11 = 0  or  x + 2 = 0

x = 11

UW = x - 7 + 5

UW = 11 - 7 + 5

UW = 9

7 0
3 years ago
Expand $3p^5q^3\left( 2pq + \frac{5}{(pq)^2} \right)$. Thank you!
Nikolay [14]

Answer:

idk

Step-by-step explanation:

8 0
3 years ago
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