Let c represents the cost of a candy apple and b represents the cost of a bag of peanuts.
Darius can purchase 3 candy apples and 4 bags of peanuts. So his total cost would be 3c + 4b. Darius can buy 3 candy apples and 4 bags of peanuts in $11.33,so we can write the equation as:
3c + 4b = 11.33 (1)
Darius can purchase 9 candy apples and 5 bags of peanuts. So his total cost would be 9c + 5b. Darius can buy 9 candy apples and 5 bags of peanuts in $23.56,so we can write the equation as:
9c + 5b = 23.56 (2)
<span>Darius decides to purchase 2 candy apples and 3 bags of peanuts. The total cost in this case will be 2c + 3b. To find this first we need to find the cost of each candy apple and bag of peanuts by solving the above two equations.
Multiplying equation 1 by three and subtracting equation 2 from it, we get:
3(3c + 4b) - (9c + 5b) = 3(11.33) - 23.56
9c + 12b - 9c - 5b = 10.43
7b = 10.43
b = $1.49
Using the value of b in equation 1, we get:
3c + 4(1.49) = 11.33
3c = 5.37
c = $ 1.79
Thus, cost of one candy apple is $1.79 and cost of one bag of peanuts is $1.49.
So, 2c + 3b = 2(1.79) + 3(1.49) = $ 8.05
Therefore, Darius can buy 2 candy apples and 3 bags of peanuts in $8.05</span>
F(g(x)) = x + 1 . Just replace square root of x-2 to x in f(x)
Answer:
A) 199 to 426 students
Step-by-step explanation:
We add and subtract the margin of error on the original percentage
This leaves us with 30% and 14%
30% of 1420 is 426
14% of 1420 199 (rounded to whole number)
Answer:
52.72m
Step-by-step explanation:
half-circles)
![c = \pi {r}^{2} \\ c = 3.14 \times 16 = 50.24 \div 2 = 25.12](https://tex.z-dn.net/?f=c%20%3D%20%5Cpi%20%20%7Br%7D%5E%7B2%7D%20%20%5C%5C%20c%20%3D%203.14%20%5Ctimes%2016%20%3D%2050.24%20%5Cdiv%202%20%3D%2025.12)
rectangle)
![4 \times 6 = 24](https://tex.z-dn.net/?f=4%20%5Ctimes%206%20%3D%2024)
triangle)
![{3}^{2} + {2}^{2} = {c}^{2} \\ 9 + 4 = 13 \\ \sqrt{13} = 3.6](https://tex.z-dn.net/?f=%20%7B3%7D%5E%7B2%7D%20%20%2B%20%20%7B2%7D%5E%7B2%7D%20%20%3D%20%20%7Bc%7D%5E%7B2%7D%20%5C%5C%209%20%2B%204%20%3D%2013%20%5C%5C%20%20%5Csqrt%7B13%7D%20%20%3D%203.6)
Add everything-
![3.6 + 25.12 + 24 = 52.72](https://tex.z-dn.net/?f=3.6%20%2B%2025.12%20%2B%2024%20%3D%2052.72)