Answer:
The correct answer is x = 3 and y = 2.
Step-by-step explanation:
There are many ways to solve systems of equations like this, but I'm going to use substitution. This means taking the value of y given by the second equation and plugging it into the first equation. This is modeled below:
2x - y = 4
2x - (-2x+8) = 4
Now, we can simplify the left side of the equation.
2x + 2x - 8 = 4
4x - 8 = 4
We should add 8 to both sides as the next step.
4x = 12
Now we can divide by 4.
x = 3
To solve for y, we can substitute this value found for x back into either one of our original equations.
y = -2x + 8
y = (-2*3) + 8
y = -6 + 8
y = 2
Therefore, the correct answer is x = 3 and y = 2.
Hope this helps!
Answer: Five cats ate 1 and a quarter of cat food.
Step-by-step explanation
Given:-
Cat food ate by one cat = 1/4 cup
Cat food ate by five cats =![5\times \frac{1}{4} \text{ [Multiplying both sides with 5 ]}\\\\=\frac{5}{4}=\frac{4+1}{4}=\frac{4}{4}+\frac{1}{4}=1+\frac{1}{4}](https://tex.z-dn.net/?f=5%5Ctimes%20%5Cfrac%7B1%7D%7B4%7D%20%5Ctext%7B%20%5BMultiplying%20both%20sides%20with%205%20%5D%7D%5C%5C%5C%5C%3D%5Cfrac%7B5%7D%7B4%7D%3D%5Cfrac%7B4%2B1%7D%7B4%7D%3D%5Cfrac%7B4%7D%7B4%7D%2B%5Cfrac%7B1%7D%7B4%7D%3D1%2B%5Cfrac%7B1%7D%7B4%7D)
=1 and 1/4 cup.
Therefore cat food ate by five cats = 1 and a quarter of cup.[ here a quarter =1/4]
Answer:
21.8° (22° to the nearest degree)
Step-by-step explanation:
Using cosine law:
a² = b² + c² - 2bc(cosA)
3² = 5² + 7² - 2(5)(7)cosA
cosA = 13/14
A = 21.7867893
Approximately angle: 22°
Alex defeated Griffin by 2 feet and 5 inches. 2.5
How to solve: 35.4 - 32.9 = 2.5 :))
Answer:
C - 40
Step-by-step explanation:
The unit rate in a graph is how much a unit increases with time. The unit here is Distance (mi) and the time here is Time (h). So to find the unit rate, you divide the y-value with its corresponding x-value (given it is a straight line, which it is in this case).
So for example, let's take the unit 80mi, its corresponding x-value is 2, so 80/2 = 40. Let's do the same for 160mi, its corresponding x-value is 4, so 160/4 = 40 and so on. The value will be the same for all x-y values in the graph.
