1 )
1st and 2nd equation (multiply 1st by -2 ):
-2x - 10 y + 8 z = 20
2 x - y + 5 z = -9
---------------------------
- 11 y + 13 z = 11 / * ( -20 )
1st and 3rd:
- 2 x - 10 y + 8 z = 20
2 x - 10 y - 5 z = 0
-----------------------------
- 20 x + 3 z = 20 / * 11
----------------------------------
220 y - 260 z = -220
- 220 y + 33 z = 220
------------------------------
z = 0, y = -1, x = - 5
2 )
2 x - y + 5 = -4
- 2 x + 3 y - 5 = - 10
Substitution: y = 2 x + 9
- 2 x + 3(2 x + 9 ) = -5
4 x = - 32, x = -8, y = -7, z = 5
3 )
x + y + z = 11
1.5 x+3 y +1.5 z = 21
x = 2 y
------------------------
3 y + z = 11 / * (-2)
6 y + 1.5 z = 21
------------------------
- 6 y - 2 z = -22
6 y + 1.5 z = 21
------------------------
-0.5 z = -1, z = 2, y = 3, z = 6
Answer: the store used 6 pounds of peanuts, 3 pounds of almonds and 2 pounds of raisins.
Here, we know 1/100 = 0.01
Now, question has reduced to 0.01 vs 0.1
We can easily see 0.1 is greater.
In short, Your Answer would be 0.1 is bigger
Hope this helps!
Answer:
x=0
Step-by-step explanation:
We can set up a proportion to solve this problem as follows:
height of the model/width of the model= height of the actual/width of the actual
24/18=60/x
Cross multiply,
24x=18*60
24x=1080
x=45 ft.
Therefore the answer is 45 ft.
Answer:
Step-by-step explanation:
The area of the circumference of a circle is:
We know that r is 8, so we can plug that into the formula.
However, there's a problem. We only want 3pi/4 of the circumference, not the entire circle's circumference. Therefore, we have to divide by part/whole. In this case, the part is 3pi/4, and the whole is 2pi (the entire circle is 2pi radians).
