The numerator of a fraction is 6. Which of the following could be the denominator of the fraction so that it is already in lowes
1 answer:
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Answer:
If order matters: 2,594,592,000 ways.
If order does not matter: 64,350 ways
Step-by-step explanation:
Assuming that the order matters when picking the non-pitching positions (since they are different positions), the number of possible different starting lineups is given by the permutation of picking 8 players out of 15, multiplied by 10 (pick one out of 10 pitchers):
Now if the order of the field players is not important, the number of possible starting lineups is given by the combination of picking 8 players out 15, multiplied by 10:
Therefore, the number of ways to pick the starting lineup is:
If order matters: 2,594,592,000 ways.
If order does not matter: 64,350 ways
The solution to the expressions given are;
9 -9t/ 12 - 5t
a. 20/ 169
b. -170/ 169
c. 386/ 169
d. -10/ 169
<h3>How to solve the expressions</h3>Given:
We can see that both variables in the numerator and denominator have no common factor, thus cannot be factorized further
a.
First, let's find the lowest common multiple
LCM = 169
=
=
= 20/ 169
b.
The lowest common multiple is 119
=
substract the numerator
= - 170/ 119
c.
The lowest common multiple is 169
=
= 386/ 169
d.
The lowest common multiple is 169
=
= - 10/ 169
Thus, we have the solutions to be 9 -9t/ 12 - 5t, 20/ 169, -170/ 169, 386/ 169, -10/ 169 respectively.
Learn more about LCM here:
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