Simplify by combining like terms
m - (2m + 5n - 3m)

=2m−5n

Step-by-step explanation:

Let's simplify step-by-step.

m−(2m+5n−3m)

Distribute the Negative Sign:

=m+−1(2m+5n−3m)

=m+−1(2m)+−1(5n)+−1(−3m)

=m+−2m+−5n+3m

Combine Like Terms:

=m+−2m+−5n+3m

=(m+−2m+3m)+(−5n)

=2m+−5n

From the Venn diagram: 15 players like Chemstrand, 17 players like Chemgrass, 13 players like both Chemstrand and Chemgrass while 10 players like neither Chemstrand nor Chemgrass.

The missing values in the frequency table are x - representing the number of players that like both Chemstrand and Chemgrass, y - representing the number of players that like Chemgrass but do not like Chemstrand and z - representing the number of players likes Chemstrand but do not like Chemgrass.

The number of players that like both Chemstrand and Chemgrass is 13. The number of players that like Chemgrass but do not like Chemstrand is 17. The number of players likes Chemstrand but do not like Chemgrass is 15.

Therefore, x = 13, y = 17 and z = 15