<span>Simplifying
5x + -7 = -10x + 8
Reorder the terms:
-7 + 5x = -10x + 8
Reorder the terms:
-7 + 5x = 8 + -10x
Solving
-7 + 5x = 8 + -10x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '10x' to each side of the equation.
-7 + 5x + 10x = 8 + -10x + 10x
Combine like terms: 5x + 10x = 15x
-7 + 15x = 8 + -10x + 10x
Combine like terms: -10x + 10x = 0
-7 + 15x = 8 + 0
-7 + 15x = 8
Add '7' to each side of the equation.
-7 + 7 + 15x = 8 + 7
Combine like terms: -7 + 7 = 0
0 + 15x = 8 + 7
15x = 8 + 7
Combine like terms: 8 + 7 = 15
15x = 15
Divide each side by '15'.
x = 1
Simplifying
x = 1
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2.178 * 10^-11 is the final answer you seek
Probability =
(number of ways it can come out the way you want it to)
divided by
(total number of ways it can come out).
Total number of ways it can come out =
number of bottles in the cooler
= (10 + 15 + 13) = 38 .
Number of ways it can come out the way you want it to =
(soda + lemonade)
= (10 + 15) = 25 .
Probability of coming out the way you want it to =
25 / 38 = about 65.8 % .
I think the answer is A and C!