Answer: b #4
Step-by-step explanation:
<h2>
Answer:</h2>
<em>You will bike 30.2 miles in the seventh day according to the prediction.</em>
<h2>
Explanation:</h2>
Here we have the following data, You bike
- 5 miles the first day of your training,
- 5.4 miles the second day,
- 6.2 miles the third day, and
- 7.8 miles the fourth day.
So we can know some facts:
- From the first day to the second day the number of miles increases:
- From the second day to the third day the number of miles increases:
- From the third day to the fourth day the number of miles increases:
By taking a look at the pattern, we can see that each day you increases the number of miles by a factor of 2 compared to the previous day. So:
- From the fourth day to the fifth day the number of miles increases:
- From the fifth day to the sixth day the number of miles increases:
Finally:
- From the sixth day to the seventh day the number of miles increases:
Let M = Mary's age.
Let J = Jo's age
Let L = Larry's age.
The sum of their ages is 120. Therefore
M + J + L = 120 (1)
Mary's age is three times Jo's age. Therefore
M = 3J (2)
Larry's age is 5 less than Jo's age. Therefore
L = J - 5 (3)
Substitute (2) and (3) into (1).
3J + J + (J-5) = 120
3J + J + J - 5 = 120
5J - 5 = 120
5J = 120 + 5 = 125
J = 125/5 = 25
Therefore
J = 25, M = 3J = 75, L = J - 5 = 20
Answer: Mary's age = 75; Jo's age = 25; Larry's age = 20
If Mary's age is 75, then Jo's age is 25, and Larry's age is 20.
Answer:
16
Step-by-step explanation:
After reach round the number of players will be reduced by a half.
After 1 round it will be 1024 * 11/2 = 512, after 2 rounds it will be 1024 * (1/2)^2 = 256 etc..
Thus, after 6 rounds the remaining players will be 1024* (1/2)^6
= 16 (answer)