Answer:
24 cups
Step-by-step explanation:
Peaches to Cherries is given as 2 to 3
We can think of this as "parts". So total parts in the salad would be:
Total Part = 2 + 3 = 5 parts
So, now we need cups of peaches to cups of TOTAL
The ratio would be:
2 : 5
The total would be 60 cups
We let total cup of peaches be x
So we can write the ratio:
![\frac{2}{5}=\frac{x}{60}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D%3D%5Cfrac%7Bx%7D%7B60%7D)
Now, we cross multiply and solve for x:
![\frac{2}{5}=\frac{x}{60}\\5x=2*60\\5x=120\\x=24](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D%3D%5Cfrac%7Bx%7D%7B60%7D%5C%5C5x%3D2%2A60%5C%5C5x%3D120%5C%5Cx%3D24)
Fred will need 24 cups of peaches
All you have to do here is multiply 230 by .5 and you get 115.
They are 115 inches apart on the map.
Hope this helped! :)
The area of a regular octagon is:
A = a * P / 2, where a is an apothem and P is a perimeter.
P = 8 * 8 m = 64 m
A = 9.7 m * 64 m / 2
A = 620.8 / 2 m²
A = 310.4 m²
Answer:
The area of a regular octagon is 310.4 m².
Hope this helps!
Answer:
30%
Step-by-step explanation:
Here we want to setup the equation
![y = a - (a\times x)](https://tex.z-dn.net/?f=y%20%3D%20a%20-%20%28a%5Ctimes%20x%29)
where y is the discounted price, a is the normal price and x is the percent off. so now we wanna plug in known values and solve for percent off.
![45.49 = 64.99 - (64.99x)](https://tex.z-dn.net/?f=45.49%20%3D%2064.99%20-%20%2864.99x%29)
through algebra,
![- 19.5 = - (64.99x)](https://tex.z-dn.net/?f=%20-%2019.5%20%3D%20%20-%20%2864.99x%29)
![\frac{ - 19.5}{ - 64.99} = x](https://tex.z-dn.net/?f=%20%20%5Cfrac%7B%20-%2019.5%7D%7B%20-%2064.99%7D%20%20%3D%20x)
![x = .3000...](https://tex.z-dn.net/?f=x%20%3D%20.3000...)
so in percentage that is 30%