Question:
Morgan is playing a board game that requires three standard dice to be thrown at one time. Each die has six sides, with one of the numbers 1 through 6 on each side. She has one throw of the dice left, and she needs a 17 to win the game. What is the probability that Morgan wins the game (order matters)?
Answer:
1/72
Step-by-step explanation:
<em>Morgan can roll a 17 in 3 different ways. The first way is if the first die comes up 5, the second die comes up 6, and the third die comes up 6. The second way is if the first die comes up 6, the second die comes up 5, and the third die comes up 6. The third way is if the first die comes up 6, the second die comes up 6, and the third die comes up 5. For each way, the probability of it occurring is 1/6 x 1/6 x 1/6 = 1/216. Therefore, since there are 3 different ways to roll a 17, the probability that Morgan rolls a 17 and wins the game is 1/216 + 1/216 + 1/216 = 3/216 = 1/72</em>
<em>I had this same question on my test!</em>
<em>Hope this helped! Good Luck! ~LILZ</em>
You have to isolate x. First you start off by adding the like terms which is -3x and -x. By adding them you get -4x.
8 - 4x = 12
Then you subtract 8 on both sides since it is positive to isolate x.
-4x = 4
Then you divide -4 by both sides and get x=4/-4
4/-4 is simplified to -1 so the answer is x= -1
Answer:
y - 2 = 3(x + 5)
Step-by-step explanation:
The given equation has slope -1/3. Any line perpendicular to the given line has a slope which is the negative reciprocal of -1/3, which comes out to +3.
Use the point-slope formula y - k = m(x - h):
y - 2 = 3(x + 5)
Answer:
The answer to your question is:
a) C = 2g + 155c
b) g = 25 grapes
c) c = 3
Step-by-step explanation:
Data
grapes = g = 2 calories
cheese = c = 155 calories
a) Equation, we consider the amount of grapes and the calores given.
Total calories = C = 2g + 155c
b) We consider that the slices of cheese stays the same
2g + 155 = 205
2g = 205 -155
2g = 50
g = 50/2 = 25 grapes
c) Then the number of grapes stays the same
2(25) + 155c = 515
50 + 155c = 515
155c = 515 - 50
155c = 465
c = 465/155
c = 3 slices of cheese
