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:
radius is 2.5
volume of ice cream is 58.9 cm cubed
Step-by-step explanation:
to calculate the volume of a cone v=pi x r^2 x (h/3)
v=volume
r=radius
h=height
^ means powers and roots
depth in cones is the same as height
v=3.14 x 2.5^2 x (9/3)
order of operations
v=3.14 x 2.5^2 x 3
v=3.14 x 6.25 x 3
v=19.625 x 3
v=58.875
round
v=58.9
Answer:
-4096
Step-by-step explanation:
8,-16,32,-64,128,-256,512,-1024,2048.-4096
A. Other crops: 35+25+20=80%
Beans: 100-80=20%
B. 300 acres×20%
=60 acres of cotton
C. Corn: 300×35%= 105 acres
Wheat: 300×25%= 75 acres
105-75= 30 more acres of corn than wheat
D. Yes, he is correct.
Corn fields+bean fields
35%+20%= 55%