Answer:
x= -33/2 or x=-16.5
Step-by-step explanation:
Expand the bracket
6(2x+3) = 2(5x-3)
12x+18=10x-15
Bring like terms together
12x-10x=-15-18
2x=-33
x=-33/2
Answer:
(a) 11110 soldiers
(b) 6404 soldiers
Step-by-step explanation:
Following that logic you can express the men of any level of his organization as 10^n, where n is the level. Some examples:
Level 1: 10^1 = 10
Level 2: 10^2 = 100 Each of the 10 men in level 1 are in charge of 10 men in the level 2 (10 * 10 = 100)
(a) if the lowerst level of the organization has 10,000 soldiers, then the lowest level is:
10^n = 10,000
n = 4
The total number of men under him is:
10^4+10^3+10^2+10^1 = 11110 (Assuming that he is the leader of the first 10 leaders)
(b) In this case the lowest level has 5763, you have a 1 leader for every 10 soldiers, then the leaders needed for the lowest level is:
5763/ 10 = 576.3 = 577 leaders
These 577 leaders also have their own leaders for every 10:
577/10 = 57.7 = 58 leaders
And these also have their own leaders:
58 / 10 = 5.8 = 6
And again We assume these 6 are directly under Genghis Khan
Total soldiers:
5763 + 577 + 58 + 6 = 6404 soldiers
The slope
and a point
that the line goes through, give us a equation for the line:
Answer:
First choice.
Step-by-step explanation:
You could plug in the choices to see which would make all the 3 equations true.
Let's start with (x=2,y=-6,z=1):
2x+y-z=-3
2(2)+-6-1=-3
4-6-1=-3
-2-1=-3
-3=-3 is true so the first choice satisfies the first equation.
5x-2y+2z=24
5(2)-2(-6)+2(1)=24
10+12+2=24
24=24 is true so the first choice satisfies the second equation.
3x-z=5
3(2)-1=5
6-1=5
5=5 is true so the first choice satisfies the third equation.
We don't have to go any further since we found the solution.
---------Another way.
Multiply the first equation by 2 and add equation 1 and equation 2 together.
2(2x+y-z=-3)
4x+2y-2z=-6 is the first equation multiplied by 2.
5x-2y+2z=24
----------------------Add the equations together:
9x+0+0=18
9x=18
Divide both sides by 9:
x=18/9
x=2
Using the third equation along with x=2 we can find z.
3x-z=5 with x=2:
3(2)-z=5
6-z=5
Add z on both sides:
6=5+z
Subtract 5 on both sides:
1=z
Now using the first equation along with 2x+y-z=-3 with x=2 and z=1:
2(2)+y-1=-3
4+y-1=-3
3+y=-3
Subtract 3 on both sides:
y=-6
So the solution is (x=2,y=-6,z=1).
Answer:
The correct answer is 90
Step-by-step explanation:
17 + 36= z- 37 ADD 17 AND 36
53= z-37 BRING 37 OVER TO 53 AND ADD
z = 90 FINAL ANSWER
