Answer:
94.6
Step-by-step explanation:
100% of 44 = 44
⇒ 200% of 44 = 44 + 44 = 88
15% = 15/100 = 0.15
⇒ 15% of 44 = 0.15 x 44 = 6.6
Therefore, 215% of 44 = 88 + 6.6 = 94.6
Answer:
38.5 yards
Step-by-step explanation:
The circumference is the diameter multiplied by pi, and the radius is half of the diameter. If we divide 241.37 by pi we get a diameter of 77, and half of that is the radius, which is 38.5.
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).
The slope of the line is -2/3.
This is found by using the equation y2 - y1/x2 - x1. Filling in for each factor, you would have 1-3/1+2 (since subtracting a negative makes it positive). This will give you a final answer of -2/3.
Here is a graph of the full equation of the line.
I hope this helps!
Answer:
Step-by-step explanation:
7a-10c-2a-0.5c+5
5a-10.5c+5
it is your first choice
