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:
Hello!
An irrational number is all the real numbers which are not rational numbers.
M = 
is a irrational number.
N = 
is a irrational number.
S = 2 is not irrational, and is actually a whole number.
T = 5 is not irrational, and is actually a whole number.
Have a great day!
I hope this helps! <33
Answer:
35°
Step-by-step explanation:
Inscribed angle s is half the measure of the arc it subtends. That arc is the supplement to the 110° arc shown. The arc is 70°, so angle s is 35°.
Answer:
B.alternative hypothesis
Step-by-step explanation:
In this case, the null hypothesis is that 45% of internet providers currently offer fiber optic internet in the United States.
The claim that the proportion of fiber optic internet providers is different from 45% is an alternative hypothesis since it directly contradicts the null hypothesis presented.
The answer is B. alternative hypothesis
Required potynomial = (x -5)(x - 3 - 2i)(x - 3 + 2i) = (x - 5)(x^2 - 6x + 13) = x^3 - 6x^2 + 13x - 5x^2 + 30x - 65 = x^3 - 11x^2 + 43x - 65
