Answer:-Sal can make 10 bracelets with 5 feet of yarn.
Explanation:-
We know that 1 foot = 12 inches
⇒1 inch=![\frac{1}{12}\ foot](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B12%7D%5C%20foot)
Yarn used for 1 bracelet = 6 inches![=\frac{6}{12}\ feet=0.5 foot](https://tex.z-dn.net/?f=%3D%5Cfrac%7B6%7D%7B12%7D%5C%20feet%3D0.5%20foot)
Number of bracelets made in 5 feet![=\frac{5}{0.5}=10](https://tex.z-dn.net/?f=%3D%5Cfrac%7B5%7D%7B0.5%7D%3D10)
therefore, Sal can make 10 bracelets with 5 feet of yarn.
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:
![7C3 \times 7C2 \times 7C2 \times 7C2\\ \\ = 324135](https://tex.z-dn.net/?f=%207C3%20%5Ctimes%207C2%20%5Ctimes%207C2%20%5Ctimes%207C2%5C%5C%20%5C%5C%20%20%3D%20324135%20)
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:
![9 \times 324135\\ \\ =2917215](https://tex.z-dn.net/?f=%209%20%5Ctimes%20324135%5C%5C%20%5C%5C%20%20%3D2917215%20)
Therefore, there are 2917215 possible 9 member tournament committees
Answer:
The correct answer is: C
Step-by-step explanation:
2(4x - 5) < 14x + 8
First multiply 2 by 4x and -5
8x - 10 < 14x + 8
Now find out what x is
Move 14x to the left
8x - 14x - 10 = 8
Then move 10 to the right and change it's sign to plus
8x - 14x = 8 + 10
Now combine like terms
-6x = 18
Now divide 18 by 6 to get x
x = 18/-6
x = -3
Can you expand the question into math formula? Please make it clear
Answer:
143
Step-by-step explanation:
x-31=112
Add 31 to both sides,
x - 31 = 112
+31 +31
-31 and +31, cancel out so we're left with...
x = 143