Answer:
aww this was the day before my birthday
Answer:
4, 4, and 8
Step-by-step explanation:
2 cups * 2 marshmallows per cup = 4 marshmallows
8 marshmallows / 2 marshmallows per cup = 4 cups of hot cocoa
16 marshmallows / 2 marshmallows per cup = 8 cups of hot cocoa
Using the given equation:
10PI/X = 240/360
Cross multiply:
(10PI*360) = (240*X)
3600PI = 240X
Divide both sides by 240:
X = 3600PI / 240
X = 15PI in^2
Answer:
5
Step-by-step explanation:
Total goals /total no. of matches = 4
5+7+4+2+4+0+5+5+3+x / 10 = 4
35 + x = 4 × 10
x = 40 - 35
x = 5
So, the team must score 5 inorder to get the average of 4 goals per match.
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).
