8:3 is the correct answer
Answer:
Step-by-step explanation:
2.00/5= 0.40 an orange
12*.40= $4.80
Answer:
1. ![\sqrt{218}](https://tex.z-dn.net/?f=%5Csqrt%7B218%7D)
2. ![\sqrt{89}](https://tex.z-dn.net/?f=%5Csqrt%7B89%7D)
3. ![2\sqrt{17}](https://tex.z-dn.net/?f=2%5Csqrt%7B17%7D)
Step-by-step explanation:
The formula to find the distance between any two points on a coordinate plane is as follows:
![D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28x_1-x_2%29%5E2%2B%28y_1-y_2%29%5E2%7D)
Where (
) and (
) are the two points one is trying to find the distance between. Substitute the points in and solve for the distance between them for each respective problem.
1.
Points: ![(-4, 6),\ \ (3, -7)](https://tex.z-dn.net/?f=%28-4%2C%206%29%2C%5C%20%5C%20%283%2C%20-7%29)
Substitute into the formula,
![D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28x_1-x_2%29%5E2%2B%28y_1-y_2%29%5E2%7D)
![D=\sqrt{((-4)-(3))^2+((6)-(-7))^2}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28%28-4%29-%283%29%29%5E2%2B%28%286%29-%28-7%29%29%5E2%7D)
Simplify,
![D=\sqrt{((-4)-(3))^2+((6)-(-7))^2}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28%28-4%29-%283%29%29%5E2%2B%28%286%29-%28-7%29%29%5E2%7D)
![D=\sqrt{(-4-3)^2+(6+7)^2}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28-4-3%29%5E2%2B%286%2B7%29%5E2%7D)
![D=\sqrt{(-7)^2+(13)^2}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28-7%29%5E2%2B%2813%29%5E2%7D)
![D=\sqrt{49+169}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B49%2B169%7D)
![D=\sqrt{218}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B218%7D)
2.
Points: ![(-6, -5)\ \ (2,0)](https://tex.z-dn.net/?f=%28-6%2C%20-5%29%5C%20%5C%20%282%2C0%29)
Substitute into the formula,
![D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28x_1-x_2%29%5E2%2B%28y_1-y_2%29%5E2%7D)
![D=\sqrt{((-6)-(2))^2+((-5)-(0))^2}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28%28-6%29-%282%29%29%5E2%2B%28%28-5%29-%280%29%29%5E2%7D)
Simplify,
![D=\sqrt{((-6)-(2))^2+((-5)-(0))^2}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28%28-6%29-%282%29%29%5E2%2B%28%28-5%29-%280%29%29%5E2%7D)
![D=\sqrt{(-6-2)^2+(-5-0)^2}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28-6-2%29%5E2%2B%28-5-0%29%5E2%7D)
![D=\sqrt{(-8)^2+(-5)^2}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28-8%29%5E2%2B%28-5%29%5E2%7D)
![D=\sqrt{64+25}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B64%2B25%7D)
![D=\sqrt{89}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B89%7D)
3.
Points: ![(-1, 4)\ \ (1,-4)](https://tex.z-dn.net/?f=%28-1%2C%204%29%5C%20%5C%20%281%2C-4%29)
Substitute into the formula,
![D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28x_1-x_2%29%5E2%2B%28y_1-y_2%29%5E2%7D)
![D=\sqrt{((-1)-(1))^2+((4)-(-4))^2}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28%28-1%29-%281%29%29%5E2%2B%28%284%29-%28-4%29%29%5E2%7D)
Simplify,
![D=\sqrt{((-1)-(1))^2+((4)-(-4))^2}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28%28-1%29-%281%29%29%5E2%2B%28%284%29-%28-4%29%29%5E2%7D)
![D=\sqrt{(-1-1)^2+(4+4)^2}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28-1-1%29%5E2%2B%284%2B4%29%5E2%7D)
![D=\sqrt{(-2)^2+(8)^2}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28-2%29%5E2%2B%288%29%5E2%7D)
![D=\sqrt{4+64}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B4%2B64%7D)
![D=\sqrt{68}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B68%7D)
![D=2\sqrt{17}](https://tex.z-dn.net/?f=D%3D2%5Csqrt%7B17%7D)
The answer is A hope this helps
Answer:
4/13 hours
Step-by-step explanation:
Total pounds of lasagna = 4 1/3 pounds
Total time taken to cook = 1 1/3 hours
How many hours per pound did it take to cook the lasagna?
Hours per pound of lasagna = Total time taken to cook / Total pounds of lasagna
= 1 1/3 hours ÷ 4 1/3 pounds
= 4/3 ÷ 13/3
= 4/3 × 3/13
= 4/13 hours
It will take 4/13 hours to cook each pound of the lasagna