Answer:
Step-by-step explanation:
This isn't really a question so how do you expect us to answer this?
System of equations that can be used to find the price of one drink and the price of one bag of popcorn is:
3d + 10p = 41
2d + 2p = 11
Price of a bag of popcorn is $ 3.5
Let "d" be the price of one drink
Let "p" be the price of 1 bag of popcorn
Luke spends total of $41 on three drinks and 10 bags of popcorn
3 drinks x price of one drink + 10 bags of popcorn x price of 1 bag of popcorn = 41
3d + 10p = 41 ------ eqn 1
Christopher spend a total of $11 on two drinks and two bags of popcorn
2 drinks x price of one drink + 2 bags of popcorn x price of 1 bag of popcorn = 11
2d + 2p = 11 ------- eqn 2
Eqn 1 and eqn 2 represents system of equations that can be used to find the price of one drink and the price of one bag of popcorn
Let us solve eqn 1 and eqn 2 to find values of "d" and "p"
Multiply eqn 2 by 5
10d + 10p = 55 --- eqn 3
Subtract eqn 3 from eqn 1
3d + 10p = 41
10d + 10p = 55
(-) ------------------------
-7d = -14
d = 2
From eqn 2,
2d + 2p = 11
2(2) + 2p = 11
4 + 2p = 11
2p = 7
p = 3.5
Thus price of 1 bag of popcorn is $ 3.5 and price of one drink is $ 2
Answer:
Option A
Step-by-step explanation:
We can try to factorize all the options one by one.
For A:
We can see that the quadratic expression cannot be solved by factorization as the factors at the end of factorization are not equal in both brackets. So Option A is the correct answer for the given question.
Moreover we can also note that all the other quadratic expressions can be factorized ..
Answer:
x2 + 5x − 4 = 0
Step-by-step explanation:
B. the area of rectangle A is k times the area of rectangle B
C. The area of rectangle A is 2k times the area of rectangle B.
D. The area of rectangle A is k^2 times the area of rectangle B.
Answer:
D
Step-by-step explanation:
"If the length and width of a rectangle A are each k times the length and width of rectangle B" means if rectangle B has L and W then rectangle A is k*L and k*W. So the area would be A = k*L*k*W = k^2 *L*W. D is correct.
Answer:
Answer D
Step-by-step explanation: