Set up the system of equations:
![8x + 5y = 30.75](https://tex.z-dn.net/?f=8x%20%2B%205y%20%3D%2030.75)
![7x + 6y = 33](https://tex.z-dn.net/?f=7x%20%2B%206y%20%3D%2033)
We'll use elimination to solve this system of equations.
Take the coefficients for y in both problems. Multiply one of them by -1:
![5 \times -1 = -5](https://tex.z-dn.net/?f=5%20%5Ctimes%20-1%20%3D%20-5)
Since this coefficient is taken from the first problem, we'll multiply the entire second problem by this negative coefficient:
![(7x + 6y = 33) \times -5 = -35x - 30y = -165](https://tex.z-dn.net/?f=%287x%20%2B%206y%20%3D%2033%29%20%5Ctimes%20-5%20%3D%20-35x%20-%2030y%20%3D%20-165)
Take the coefficient for y in the second problem and multiply the entire first problem by that coefficient:
![(8x + 5y = 30.75) \times 6 = 48x + 30y = 184.50](https://tex.z-dn.net/?f=%288x%20%2B%205y%20%3D%2030.75%29%20%5Ctimes%206%20%3D%2048x%20%2B%2030y%20%3D%20184.50)
Your system should now look like this:
![48x + 30y = 184.50](https://tex.z-dn.net/?f=48x%20%2B%2030y%20%3D%20184.50)
![-35x - 30y = -165](https://tex.z-dn.net/?f=-35x%20-%2030y%20%3D%20-165)
Combine these two equations to cancel out y:
![13x = 19.50](https://tex.z-dn.net/?f=13x%20%3D%2019.50)
Divide both sides by 5 to get x by itself:
A fairy soda costs $1.50.Because we know the value of one of the variables, we can plug it into one of the equations:
![8(1.5) + 5y = 30.75](https://tex.z-dn.net/?f=8%281.5%29%20%2B%205y%20%3D%2030.75)
![12 + 5y = 30.75](https://tex.z-dn.net/?f=12%20%2B%205y%20%3D%2030.75)
Subtract 12 from both sides:
![5y = 18.75](https://tex.z-dn.net/?f=5y%20%3D%2018.75)
Divide both sides by 5 to get y by itself:
A fairy hotdog costs $3.75.
Answer D.)
Step-by-step explanation: becaues you KCF when dividing fractions
4:12 equals 2:6 equals 1:3.
The ratio is 1 banana to 3 oranges.
Answer:
C
Step-by-step explanation:
A has nothing to do with the paper inside and B and D don't matter bc its the first student
Answer:
The equation that represents the population after T years is
![P_{t} = 7,632,819,325 [1 +\frac{1.09}{100} ]^{T}](https://tex.z-dn.net/?f=P_%7Bt%7D%20%20%3D%207%2C632%2C819%2C325%20%5B1%20%2B%5Cfrac%7B1.09%7D%7B100%7D%20%5D%5E%7BT%7D)
Step-by-step explanation:
Population in the year 2018 ( P )= 7,632,819,325
Rate of increase R = 1.09 %
The population after T years is given by the formula
-------- (1)
Where P = population in 2018
R = rate of increase
T = time period
Put the values of P & R in above equation we get
![P_{t} = 7,632,819,325 [1 +\frac{1.09}{100} ]^{T}](https://tex.z-dn.net/?f=P_%7Bt%7D%20%20%3D%207%2C632%2C819%2C325%20%5B1%20%2B%5Cfrac%7B1.09%7D%7B100%7D%20%5D%5E%7BT%7D)
This is the equation that represents the population after T years.