Answer: See explanation
Step-by-step explanation:
Let the cost of the boogie board be represented by x.
The surfboard cost six times the boogie board. Therefore, surfboard =6x
The wetsuit is $300 less than the surfboard. This means wetsuit = 6x - 300
Together a boogie board, surfboard, and wetsuit cost $1,312. Therefore,
x + 6x + 6x - 300 = 1312
13x = 1312 + 300
13x = 1612
x= 1612 / 13
x = 124
Boogie board cost $124
Surfboard = 6x
= 6 × $124
= $744
Wetsuit = 6x - 300
= $744 - $300
= $444
Your answer should be C. X = 12
Steps to --> 10+ 6(-9 - 4x) = 10(x - 12) + 8
10 + 6 (-9 - 4x)
= 10 - 54 - 24x
= -24x - 44
10 (x - 12) + 8
= 10x - 120 + 8
= 10x - 112
-24x = 10x - 68
-24x - 10x = 10x - 68 - 10x
-34x = -68
-34x/-34 = -68/-34
x = 2
X = the number of humans and y = the number of horses.
x+y=74
2x+4y=196
Because the number of humans and horses together is 74, and the total number of legs (2 per every human, x, and 4 per every horse, y) is 196. Then, just use elimination to solve.
So, now that you have y, you can plug it into the first equation to find x:
So, x = 50 and y = 24, so there are 50 humans and 24 horses.
The correct answer is B.
Answer:
79% - almost 4 times out of 5.
The key to this is realizing that the number of games will not always be 5.
If A wins in a sweep - you have 2/3*(2/3)*2/3 percent chance of that happening - 8/27, or 29.63%
If A wins in 4, now we have 2/3*(2/3)*2/3*(1/3)*3 - the 1/3 is the chance that B wins a game. Note - there are only 3 ways B can win a game, not 4. B cannot win Game 4 because Game 4 would not be played in case of a sweep. That is why you cannot use a straight Pascal’s triangle to get your coefficients - the 1–4–6–4–1 is not possible if B cannot win Game 4. Anyway, the math is the same as the above, a 29.63% chance of A winning in 4.
For a 5 game set, A could lose 2 games in 6 possible ways (lose 1&2, 1&3, 1&4, 2&3, 2&4 or 3&4). Again, A cannot lose Game 5 - it would not be played once A wins 3 games. So the odds become 2/3*(2/3)*2/3*(1/3)*(1/3)*6, or 19.75%.
Add them up and you get 79.01%
Step-by-step explanation:
Hope it helps<3
