Answer:
1.
Step-by-step explanation:
1. 2x-4=10
2x=14
x=7
2. 3x+3=2x-1
3x-2x=-1-3
x=-4
3. 7x+x=24
8x=24
x=3(
4. 5+x=-18
x=-18-5
x=-23
5. -14=10-6x
6x=10+14
6x=24
x=4
6. 2x-2=x+12
2x-x=12+2
x=14
7. 3x-31=2
3x=2+31
3x=33
x=11
8. 5x-14=16
5x=16+14
5x=30
x=6
9. 2x+8=4(5-x)
2x+8=20-4x
2x+4x=20-8
6x=12
x=2
10. 2x-3=3(1+x)
2x-3=3+3x
2x-3x=3+3
-x=6
(5)(2)(5)(1) could be an answer
Answer:
They can be seated in 120 differents ways.
Step-by-step explanation:
Taking into account that there are 3 couples and every couple has an specific way to sit, for simplify the exercise, every couple is going to act like 1 option and it's going to occupy 1 Place. If this happens we just need to organize 5 options (3 couples and 2 singles) in 5 Places (3 for a couple and 2 for the singles)
It means that now there are just 5 Places in the row and 5 options to organized. So the number of ways can be calculated using a rule of multiplication as:
<u> 5 </u>*<u> 4 </u>* <u> 3 </u> * <u> 2 </u> * <u> 1 </u> = 120
1st place 2nd Place 3rd place 4th Place 5th Place
Because we have 5 options for the 1st Place, the three couples and the 2 singles. Then, 4 options for the second Place, 3 options for the third place, 2 for the fourth place and 1 option for the 5th place.
Finally, they can be seated in 120 differents ways.
Answer:
B
using SOHCAHTOA
COS THETA WILL BE EQUALS TO ROOT 5/3 AND TAN THETA WILL BE EQUALS TO 2ROOT 5/3