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:
D -24/25
Step-by-step explanation:
sin(2x) = 2sin(x)cos(x)
cos(x) = ⅘
sin²(x) = 1 - cos²(x) = 1 - (⅘)²
sin²(x) = 9/25
sin(x) = -⅗
(Because 4th quadrant)
sin(2x) = 2(-⅗)(⅘)
= -24/25
Answer:
No solution.
Step-by-step explanation:
Simplify. Combine like terms:
-10 = -14v + 14v
-10 = (-14v + 14v)
-10 = (0)
-10 ≠ 0 ∴ no solution is your answer.
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First box should be: 2 bc of the second statement
second box (top right): 5 bc 12 students total, subtract from rest (u do this last)
third box: 1 bc all that’s leftover from first box
fourth box (bottom right) 5 bc of third statement
basically, for two way tables each box must apply/be applied to two topics. hope this helps