Answer:
Option E: 24.
Step-by-step explanation:
When Caleb (C) has 20 more books than Danica (D), we have:
(1)
Now, when Caleb gives Danica half of his books:
(2)
Danica will have 4 more books than Caleb, so:
(3)
Also we have that:
(4)
By entering equation (2) and equation (3) into equation (4) we have:
(5)
From (1) we have:
(6)
By entering (6) into (5):
And, from (6):
Therefore, the correct option is E, Caleb had to start with 24 books.
I hope it helps you!
Answer:
The answer is
her score was in the top 85% of all test takers' scores.
Step-by-step explanation:
Percentile is the relative standing in a set of data from the lowest values to highest values.
If your score is in the 85th percentile, it means that 85% of the scores are below your score and 15% are above your score.
40x+20y=300
x= amount of soda bottles
y= amount of juice bottles
Solving this equation, finding x&y will give you the number of each bottles!
I hope this helped!
~ Penny
Answer:
84%
Step-by-step explanation:
The probability of Thomas bumping into her at school is 80%, so the probability of not bumping into her is 100% - 80% = 20%.
If he doesn't bump into her (20% chance), he will call her, and the probability of asking her in this case is 60%, so the final probability of asking her in this case is:
If he bumps into her (80% chance), the probability of asking her is 90%, so the final probability of asking her in this case is:
To find the probability of Thomas inviting Madeline to the party, we just have to sum the probabilities we found above:
The sum of a number b and 3 is greater than 8 and less than
12
<span>=> b + 3 < 8
=> b + 3 > 12
</span>
<span>Now,
let’s combine this into an expression:
=> 8 < b+3 < 12
=> (8 - 3) < b < (12 - 3)
=> 5 < b < 9
Thus, the answer in the given situation is 9 because 9 is greater than 8 but
less than 12.
</span>
