6 divided by 812 is very difficult to do without using a calculator - I would suggest the bus shelter method, as I've shown in the photo attached, but it is still quite difficult to use that method without a calculator.
<em>If</em>, however, you mean 812 divided by 6, that is a lot easier to calculate using the bus shelter method - so, just in case, I've attached the method for that too.
6 divided by 812 = 0.007389...
Answer:
x = 35
Step-by-step explanation:
Solve for x:
5 (x + 20) = 7 x + 30
Expand out terms of the left hand side:
5 x + 100 = 7 x + 30
Subtract 7 x from both sides:
(5 x - 7 x) + 100 = (7 x - 7 x) + 30
5 x - 7 x = -2 x:
-2 x + 100 = (7 x - 7 x) + 30
7 x - 7 x = 0:
100 - 2 x = 30
Subtract 100 from both sides:
(100 - 100) - 2 x = 30 - 100
100 - 100 = 0:
-2 x = 30 - 100
30 - 100 = -70:
-2 x = -70
Divide both sides of -2 x = -70 by -2:
(-2 x)/(-2) = (-70)/(-2)
(-2)/(-2) = 1:
x = (-70)/(-2)
The gcd of -70 and -2 is -2, so (-70)/(-2) = (-2×35)/(-2×1) = (-2)/(-2)×35 = 35:
Answer: x = 35
Nicki:x (12)
Claudia:x+5
Hunter:12
Decade=10 years
Dog: x-10
Philip:(x-10)+3=x-7
Sara: x-8
Sara:4
I think it's true but I'm not sure about that
Answer:
![x=3, y = 49\\x=0.5, y = -3.5\\x=-0.67, y = -2.31](https://tex.z-dn.net/?f=x%3D3%2C%20y%20%3D%2049%5C%5Cx%3D0.5%2C%20y%20%3D%20-3.5%5C%5Cx%3D-0.67%2C%20y%20%3D%20-2.31)
Step-by-step explanation:
![y=6x^2-5\\y=17x-\frac{6}{x}](https://tex.z-dn.net/?f=y%3D6x%5E2-5%5C%5Cy%3D17x-%5Cfrac%7B6%7D%7Bx%7D)
Let's substitute the first equation into the second one.
![6x^2-5=17x-\frac{6}{x}](https://tex.z-dn.net/?f=6x%5E2-5%3D17x-%5Cfrac%7B6%7D%7Bx%7D)
- Multiply by
and bring all the terms to one side.
I'll use my graphical calculator to solve this but you could factor:
(All rounded to 2 decimal places)
Now we can substitute these
values into an equation for
.
![y=6x^2 - 5](https://tex.z-dn.net/?f=y%3D6x%5E2%20-%205)
![x=3, y = 49\\x=0.5, y = -3.5\\x=-0.67, y = -2.31](https://tex.z-dn.net/?f=x%3D3%2C%20y%20%3D%2049%5C%5Cx%3D0.5%2C%20y%20%3D%20-3.5%5C%5Cx%3D-0.67%2C%20y%20%3D%20-2.31)