Answer:
Marina had 50$ originally
Step-by-step explanation:
80-1/5 of the money she spent for the books that she brought, The step by step process is how much money she had left behind from the books she brought seperate
Answer:
When 5 winners are randomly selected, the probability that they are all men is 0.003.
Step-by-step explanation:
Among the contestants in a competition are 46 women and 23 men.
Total persons are =
When one winner is chosen, there are 68 people left, when second winner is chosen there are 67 people left and so on.
So, the probability that they are all men is given by:
= 
= 0.002999 ≈ 0.003
Therefore, when 5 winners are randomly selected, the probability that they are all men is 0.003.
Answer: $10,260.00
Step-by-step explanation:
$9,000 + $9,000 (2.8%) (5)
= $9,000 + $1,260
= $10,260.00
Let the number be x;
(2/3)x=-6
2x=-6×3
2x=-18
x=-9
Therefore, the number is -9.
Hope I helped :)
Answer:
1. 22583.5 J
2. 1248 kg
3. 78.09 m/s
Step-by-step explanation:
The formula for kinetic energy is ;
K.E = 1/2* m * v²
Where m is the mass and v is the velocity
1.
K.E = 1/2 * m*v²
K.E = 1/2 * 47 * 31²
K.E = 22583.5 J
2.
Velocity = 9.78 m/s.
Kinetic energy = 60,800 J
To get mass, apply the formula as;
K.E = 1/2 * m*v²
60,800 = 1/2 * m * 9.78²
60800 = 48.70845 m
60800/48.70845 = m
1248 = m
Mass = 1248 kg
3.
K.E = 143.3 J
Mass = 0.047 kg
Apply the formula;
K.E = 1/2 * m*v²
143.3 = 1/2 * 0.047 * v²
143.3 = 0.0235 v²
143.3/0.0235 = v²
6097.87 = v²
v = √6097.87
v= 78.09 m/s
