Answer:
x = -14
Step-by-step explanation:
Simplifying
7x + 156 = 9x + 184
Reorder the terms:
156 + 7x = 9x + 184
Reorder the terms:
156 + 7x = 184 + 9x
Solving
156 + 7x = 184 + 9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x' to each side of the equation.
156 + 7x + -9x = 184 + 9x + -9x
Combine like terms: 7x + -9x = -2x
156 + -2x = 184 + 9x + -9x
Combine like terms: 9x + -9x = 0
156 + -2x = 184 + 0
156 + -2x = 184
Add '-156' to each side of the equation.
156 + -156 + -2x = 184 + -156
Combine like terms: 156 + -156 = 0
0 + -2x = 184 + -156
-2x = 184 + -156
Combine like terms: 184 + -156 = 28
-2x = 28
Divide each side by '-2'.
x = -14
Simplifying
x = -14
Answer:
<u>94</u>
Step-by-step explanation:
Equating the mean to the scores :
- 88 = 79 + 89 + 90 + x / 4
- 352 = 258 + x
- x = <u>94</u>
Having drawn one king, there are 3 kings remaining and a total of 51 cards. Therefore the probability of drawing another king is 3/51 = 1/17.