Answer:
The system of equations that can be used to find the price of one bag of popcorn and the price of one drink are:
8p + 10d = 85
2p + 2d = 20.50
Step-by-step explanation:
Let the price of a bag of popcorn be p
Let the price of one drink be d
Charlotte spends a total of $85.00 on 8 bags of popcorn and 10 drinks. This means
8p + 10d = 85
Savannah spends a total of $20.50 on 2 bags of popcorn and 2 drinks.
2p + 2d = 20.50
The system of equations that can be used to find the price of one bag of popcorn and the price of one drink are:
8p + 10d = 85 ----------1
2p + 2d = 20.50 - - - - - -2
Solving the equations with elimination method, multiply equation 1 by 2 and equation 2 by 8
16p + 20d = 170
16p + 16d = 164
Subtracting,
4d = 6
d = 6/4 = $1.5
Put d = 2 in equation 1
8p + 15 = 85
p = 70/8 = $8.75
Answer:
80
Step-by-step explanation:
The labeled angle is what's called an inscribed angle. There's a theorem (fittingly called the inscribed angle theorem) that says the measure of this angle is half the measure of the circular arc that it subtends.
In this case, the angle is subtended by an arc measuring 180°. So
(4x + 6)° = 1/2 • 180°
4x + 6 = 90
4x = 84
x = 21
The quantity of water the farming conglomerate would use 17 years from now is 65,708.11.
<h3>What is the amount of water that would be used 17 years from now?</h3>
The formula for calculating the amount of water that would be needed 1 years from now:
FV = P (1 + r)^N
- FV = Future value
- P = Present value
- R = interest rate
- N = number of years
13000 x 1.1^17 = 65,708.11
To learn more about future value, please check: brainly.com/question/18760477
