True.
Since

,

and the solutions are decreasing functions.
Jack must score 28 problems correct. To get a 92% he must answer 92% of the 30 questions right. which means 0.92*30=27.6, but it is not possible to score 0.6 of a problem right so you would round to 28, which guarantees Jack scores a 92 because if we round down, Jack would score less than a 92
Let t represent Todd's age now.
.. 4(t -3) -(t -3) = 81 . . . . . . 3 years ago, their differnce in ages was 81.
.. 3t -9 = 81
.. t = (81 +9)/3 = 30
Todd is 30 now.
_____
You can also work this by considering "ratio units." 3 years ago, the ratio of their ages was 4:1, a difference of 3. That difference corresponds to 81 years, so each "ratio unit" represents 81/3 = 27 years. Todd's age then was 1 ratio unit, 27 years. Now, Todd's age is 30.
<u>Answer</u>:
3003 number of 5-member chess teams can be chosen from 15 interested players.
<u>Step-by-step explanation:</u>
Given:
Number of the interested players = 15
To Find:
Number of 5-member chess teams that can be chosen = ?
Solution:
Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter. To calculate combinations, we will use the formula
where
n represents the total number of items,
r represents the number of items being chosen at a time.
Now we have n = 15 and r = 5
Substituting the values,






