Answer:
Step-by-step explanation:
x/3 + 6 = 17
Bringing like terms on one side
x/3 = 17 - 6
x/3 = 11
Dividing by 3 on both sides
x = 11/3
Answer:
Step-by-step explanation:
Solve the system:
8x−4y=20
4x−8y=4
Reduce the first equation by dividing every term by -2:
-4x + 2y = -10
and then combine this result with the second equation:
4x−8y=4
-4x + 2y = -10
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-6y = -6, and so y = 1.
According to the first equation, if y = 1, then 4x - 8 = 4, or x = 3.
Then x = 3 and y = 1.
So, finally, x - y = 3 - 1 = 2
Answer: x = 2,340 homes without children
There are 2,340 homes without children.
Step-by-step explanation:
'x' represent the number of homes without children
'y' represent the number of homes with children
x : y = 9 : 7
Since the total number of homes is 4160 means x + y = 4160.
From x + y = 4160 follows y = 4160 - x.
Plug y = 4160 - x into x : y = 9 : 7
x : (4160 - x) = 9 : 7
Answer:
-12u + 11z
Step-by-step explanation:
The above expression cannot be simplified, for:
1) There is no common variable (one being <em>u</em>, and the other being <em>z</em>).
2) There are no common factors in between 12 & 11)
- Factors of 12: 1, 2, 3, 4, 6, 12
- Factors of 11: 1, 11
~
Answer:
111°
Step-by-step explanation:
- All these are parallel lines, so the 36° angle is equal to the 36° angle inside the big triangle because they are vertically opposite.
- Ignore the line cutting between 45° and the 30° and consider it as one triangle
- Add them to get 75°
- Now you have two known angles 75° and 36°
- To get angle <em>x</em><em> </em>add 75° and 36° to get 111°
- Because x° is an exterior angle and exterior angles equal to the sum of interior angles opposite it inside the triangle.
