1st number = x
2nd number = 3x
3rd number = 2x-10
x +3x + 2x-10 =92
6x - 10 = 92
6x =102
x = 102/6
x = 17
1st number = 17
2nd number = 17*3 = 51
3rd number = 17 *2 = 34-10 = 24
17 + 51 + 24 = 92
3 numbers are 17, 51 and 24
The answer is -4 because -4^7=-16384
Answer:
7 months
Step-by-step explanation:
He plans on depositing $200 every month into the savings account that already has $600 in it.
We can represent the amount of money he will have after a certain number of months (x) as:
A = 600 + 200x
He needs to save $2000. Therefore, to find the months he needs to save, we need to find x when A is $2000:
2000 = 600 + 200x
200x = 2000 - 600
200x = 1400
x = 1400/200 = 7 months
He needs to save for 7 months.
Answer:
Exact form, p = 63/8
decimal form, p = 7.875
Mixed number form, p = 7 7/8
Step-by-step explanation:
Solve for p by cross multiplying
a) We know that the probability Jane will win is 0.2, and draws is 0.3, which leaves the probability of her losing to be 0.5 (1 - 0.2 - 0.3 = 0.5).
I'll begin by filling in for the first game:
win = 0.2, draw = 0.3, lose = 0.5
Next, we'll fill in for if she wins, draws, or loses the second game. The probabilities would be the same as the first game for the second game.
Win (0.2): win = 0.2, draw = 0.3, lose = 0.5
Draw (0.3): win = 0.2, draw = 0.3, lose = 0.5
Lose (0.5): win = 0.2, draw = 0.3, lose = 0.5
b) To find the probability that Jane will win both games, we need to multiply the probability of Jane winning the first game by the probability of her winning the second game.
0.2 x 0.2 = 0.04
Hope this helps! :)
