Y > 6x + 5
y < -6x + 7
(2,17)
17 > 6(2)+5 ; 17> 17 NO
(8,8)
8>6(8)+5 NO
(-2,18)
18>6(-2)+5
18>-7 YES
18< -6(-2)+7
18< 12+7 YES (-2,18) is an answer
(0,6)
6>6(0)+5
6>5 YES
6<-6(0)+7
6<7 YES (0,6) is an answer
(-2,19)
19>6(-2)+5
19>-7 NO
(2,18)
18>6(2)+5
18>17 YES
18< -6(2)+7
18< -5 NO
Answer:
x=20⁰
Step-by-step explanation:
The angle 6x is next to a 3x one.
And 6x+3x=180⁰
9x=180⁰
x=20⁰
Answer:
56
Step-by-step explanation:
There are two ways the answer to this question can be determined
<u><em>Method 1 : the fast method </em></u>
We know that 8 is twice 4
4 x 2 = 8
The ratio of diet soda = 8
the ratio of regular sodas = 4
Diet sodas = 112
the number of regular sodas = 112 / 2 = 56
<u><em>Method 2 : The long method </em></u>
I would first determine the total number of diet and regular sodas. Let the total number be represented by d
from the question, the following equation can be derived :
(8/12) x d = 112
divide both sides of the equation by 12/8 to determine the value of d
d = 112 x (12/8) = 168
We can now derive a value for the number of regular soda
regular sodas = ( ratio of regular sodas / total soda) x total number of sodas
(4/12) x 168 = 56
