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>
Answer:
Step-by-step explanation:
Answer is B.
Square root of 10 is 3.16.
3 and one fourth is 3.25.
3.12, 3.16, 3.24, 3.25
2y+18=42
2y=24
y=12
Hope this helps!
Answer: A and B
Step-by-step explanation:
Answer:
a) 9 meters.
b) The total change in temperature was of 288ºC
Step-by-step explanation:
Both these questions can be solved using rules of three.
a) 72 meters in 8 seconds. How many meters it changes each second(in 1 second)?
8s - 72m
1s - x m
9 meters.
b) In 1 hour, heated by 6ºC. How much in total during 48 hours?
1h - 6ºC
48h - xºC
x = 48*6
The total change in temperature was of 288ºC
