Standard form for equations is ax + by = c. So all we have to do is transfer this equation into standard form. But, in standard form, there can also be no denominators, so our first step is to multiply each side of the equation by 5 to get rid of all denominators. The equation becomes 5y = 3x + 20. Now we need to get 20 on one side, which we can do by subtracting 3x from each side. The equation becomes -3x + 5y = 20, giving us our final answer of -3x + 5y = 20.
Answer:
The value of the given expression is -878.08.
Step-by-step explanation:
Here, the given question is INCOMPLETE.
The complete question is:
Evaluate the expression for a = 4, b = -5, and c = -7. ![4a^2b^{-2}c^3](https://tex.z-dn.net/?f=4a%5E2b%5E%7B-2%7Dc%5E3)
Here, substitute the vale of a = 4, b = -5 and c = -7, we get:
![4a^2b^{-2}c^3 = (\frac{4a^2c^3}{b^2}) = (\frac{4(4)^2(-7)^3}{(-5)^2})\\= (\frac{64 \times 343}{25}) =\frac{21,952}{25} = 878.08\\\implies 4a^2b^{-2}c^3 = 878.08 ( a = 4, b = -5 ,c = -7)](https://tex.z-dn.net/?f=4a%5E2b%5E%7B-2%7Dc%5E3%20%20%3D%20%28%5Cfrac%7B4a%5E2c%5E3%7D%7Bb%5E2%7D%29%20%20%3D%20%20%28%5Cfrac%7B4%284%29%5E2%28-7%29%5E3%7D%7B%28-5%29%5E2%7D%29%5C%5C%3D%20%28%5Cfrac%7B64%20%5Ctimes%20343%7D%7B25%7D%29%20%20%20%3D%5Cfrac%7B21%2C952%7D%7B25%7D%20%3D%20%20%20878.08%5C%5C%5Cimplies%204a%5E2b%5E%7B-2%7Dc%5E3%20%3D%20%20%20878.08%20%28%20a%20%3D%204%2C%20b%20%3D%20-5%20%2Cc%20%3D%20-7%29)
Hence, the value of the given expression is -878.08.
Answer:
A path that goes through every EDGE once and starts and ends at different vertices.
Explanation:
A "Euler path" is a trail that is being used in a graph consisting of finite number of edges. It is also known as "Eulerian path." This should be contrasted from the "Euler circuit," for both of their meanings are a bit confusing.
A Euler path only uses every edge of the graph once and it starts and ends at<em> different vertice</em>s. A Euler circuit, on the other hand, uses every edge of the graph exactly once but <em>starts and ends at the same vertex</em>.
So, this explains the answer.
Answer:
6
Step-by-step explanation:
250 mL is 0.25 L or 1/4 L.
1 L is enough for 4 students.
A 2-L bottles is enough for 8 students.
Since 24 students is 3 times 8 students, you need 3 times a 2-liter bottle.
Answer: 3