Hi there! Marcie made a mistake in the last step of the solving process.
Let's solve this problem step by step!
−2(x − 5) − 12 ≤ 4 + 6(x + 3)
First work out the parenthesis, which can for instance be done using rainbow method.
−2x + 10 − 12 ≤ 4 + 6x + 18
The parenthesis are worked out correctly. Remember that multiplying a negative by a negative gives you a positive.
Now we can collect the terms.
−2x − 2 ≤ 6x + 22
The terms are collected correctly.
Next up is subtracting 6x from both sides and adding 2 to both sides of the inequality.
−8x ≤ 24
This step is also correct.
Finally we must divide both sides of the inequality by -8 to find our answer. Be aware of the fact that the sign flips when dividing by a negative!
x ≤ −3
Mistake! Marcie forgot to flip the sign. Instead the answer should be

~ Hope this helps you!
There are 4 teams in total and each team has 7 members. One of the team will be the host team.
Tournament committee will be made from 3 members from the host team and 2 members from each of the three remaining teams. Selecting the members for tournament committee is a combinations problem. We have to select 3 members out 7 for host team and 2 members out of 7 from each of the remaining 3 teams.
So total number of possible 9 member tournament committees will be equal to:

This is the case when a host team is fixed. Since any team can be the host team, there are 4 possible ways to select a host team. So the total number of possible 9 member tournament committee will be:

Therefore, there are 2917215 possible 9 member tournament committees
Answer:
water has a specific heat capacity of 4180 j/kg degree cellos
Step-by-step explanation:
1) x+6 =4
x. =4-6
x. =-2
2) x-(-4) =-6
x+ 4. =-6
x. =-6-4
x. =-10
3)2(x-1)=-200
2x-2 =-200
2x. = -200+2
2x. = -198
x. = -198/2
x. = -99
4)2x+(-3) =-23
2x-3. =-23
2x. =-23+3
2x. =-20
x. =-20/2
x. = -10