Answer:
2. X = 13 1/3
Step-by-step explanation:
(3/2) times x - 4 = 16/ - 16
(3/2) times x - 16 - 4 = 0
3/2 times x - 20 = 0/ + 20
3/2 times x = 20 / : 3/2
x = 20/3/2
x = 40/3 = 13 1/3
Answer:
1 D. 400 spins
2 C.4/20
3 A. 6/20
Step-by-step explanation:
1
The more times you run a probability-based trial, the more likely you are to get close to the theoretical frequency.
2
Since 1 and 2 represent goals, just find the options that have three/four 2's and 1's. These are 5212, 2152, 2512, and 2112. Since there are 4 options out of 20, we can say our probability is 4/20
C
Since 1 and 2 represent goals, we have to find the options where there are no 1's or 2's. These are 6643, 3554, 4533, 6634, 4536, and 5546. Since there are 6 options out of 20, we can say our probability is 6/20
The lateral area is represented in the diagram by a rectangle 11 cm wide and
(8 + 15 + 17) cm = 40 cm long.
The lateral area is
(11 cm)*(40 cm) = 440 cm²
Answer: Choice B)
2x+5(2x+3) = 3
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Reasoning:
We start with the second equation 2x+5y = 3
Since y = 2x+3 from the first equation, we can replace every copy of y with (2x+3). This replacement is valid because y and 2x+3 are the same.
So that's how we go from 2x+5y = 3 to 2x+5(2x+3) = 3
This replacement is done to get rid of the y variable, and it allows us to solve for x later on.
