Answer:
20 servings of 100-milliliter sports drink
Step-by-step explanation:
Answers:
The first and third options should be selected.
- The ordered pair (10,5) is a solution to the first equation because it makes the first equation true.
- The ordered pair (10,5) is not a solution to the system because it makes at least one of the equations false.
Explanation:
In order for a point to be a solution to a system of equations, it must make both equations true when its x and y values are substituted in. That being said, we need to test if (10,5) is a solution for the two equations.
Let's try the first equation. Substitute 10 for x and 5 for y and solve:
![2x - 5y = -5\\2(10) - 5(5) = -5\\20 - 25 = -5\\-5 = -5](https://tex.z-dn.net/?f=2x%20-%205y%20%3D%20-5%5C%5C2%2810%29%20-%205%285%29%20%3D%20-5%5C%5C20%20-%2025%20%3D%20-5%5C%5C-5%20%3D%20-5)
-5 does equal -5, so (10,5) is a solution to the first equation.
Next, let's test the second equation. Do the same:
![x + 2y = 11\\(10) + 2 (5) = 11\\10 + 10 = 11\\20 = 11](https://tex.z-dn.net/?f=x%20%2B%202y%20%3D%2011%5C%5C%2810%29%20%2B%202%20%285%29%20%3D%2011%5C%5C10%20%2B%2010%20%3D%2011%5C%5C20%20%3D%2011)
However, 20 does not equal 11, therefore (10,5) is not a solution to the second equation.
So far, we know that (10,5) is a solution to the first equation, but not the second equation. Knowing this, it cannot be a solution to the system because it does not make both equations true. Therefore, only the first and third options should be selected.
Answer: 5
Step-by-step explanation:
1. 3x+2=17
2. 3x+2-2=17-2 ( we subtract 2 from both sides)
3. then we simplify 3x=15
4. \frac{3x}{3}=\frac{15}{3} then i divide both sides by 3
5. and as we simplify, x=5
If one kit contains 235 parts, then all we need to do to find out how many are in 4 of those same kits is multiply the amount in one kit by the amount of kits there are.
235 * 4 = 940
There are 940 parts in 4 of the kits.
Hope that helped! =)