Answer:
x=4
Step-by-step explanation:
1. 7x+56=14x+28 using distributive property (with the number of stes you need to have, this may count as 2)
2. 56=7x+28 by subtracting 7x from each side
3. 28=7x by subtracting 28 from both sides
4. x=4 by dividng by 7
5. plug back into equation
7(4)+56=14(4+2)
28+56=14(6)
84=84
Answer:
Each goal gives 5 points and a penalty costs 7 points.
Step-by-step explanation:
Let a penalty cost = x points
And a goal gives = y points
Ben makes 7 goals and 2 penalties ending the game with 21 points,
7y - 2x = 21 --------(1)
Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,
10y - 8x = -6
5y - 4x = -3 --------(2)
Equation (1) multiplied by 2, then subtracted from equation (2),
(5y - 4x) - 2(7y - 2x) = -3 - 2(21)
5y - 4x - 14y + 4x = -3 - 42
-9y = -45
y = 5
From equation (1)
7(5) - 2x = 21
35 - 2x = 21
2x = 35 - 21
2x = 14
x = 7
Therefore, each goal gives 5 points and a penalty costs 7 points.
Answer:
The probability it is greater than or equal to 0.95 and less than or equal to 0.96
Step-by-step explanation:
In order to calculate the probability that weekly demand exceeds 4,044 we would have to calculate the z value as follows:
Z= (X-mean)/standard deviation
Z= (4044 - 3211)/484
Z=1.721
So, looking for standard normal distribution table 1.7 from row, we get values from 0.9554 till 0.9633, for column 0.02 it is 0.9573
Therefore, the probability it is greater than or equal to 0.95 and less than or equal to 0.96
3/4 y= 24
Multiply both sides of the equation by 4/3 (the reciprocal of 3/4) to be left with y.
4/3 × 3/4y = 24 × 4/3
y = 24 × 4/3
y = 32
Hope this helps!
