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.
Answer:
2x - 7y = -34.
Step-by-step explanation:
As the line we want is perpendicular to y= -7/2 x + 9 it's slope will be
-1 /(-7/2) = 2/7.
Now we find the point of intersection ofn the 2 given lines:
x + y = 10
3x - 4y = -12
Multiply the first equation by -3:
-3x - 3y = -30
Now add this last equation to the second one:
-7y = -42
y = 6
Plug y = 6 into the first equation:
x + 6 = 10
x = 4.
So the point of intersection is (4, 6) and the equation we want passes through this, so using the point-slope form of straight line we have:
y - 6 = 2/7(x - 4)
7y - 42 = 2(x - 4)
7y - 42 = 2x - 8
2x - 7y = -42 + 8
2x - 7y = -34
2d-7=11d+26
-2d-26=-2d-26
-33/9=9/9d
d= -33/9
d= - 11/3
Is this what you're asking for?
Answer:
31.4 cm
Step-by-step explanation:
5x3.14x2 = 31.4 cm
A 45°-45°-90° triangle has side lengths of "a" and a hypotenuse of "a√2"
Since the hypotenuse in youur problem is 6√2, then the side lengths are 6.
Answer: x = 6, y = 6
