Step-by-step explanation:
8k - 12 = 3
8k = 3 +12
8k = 15
k = 15/8
k = 1.875
Answer:
Step-by-step explanation:
2y + 4 = 0 <em>subtract 4 from both sides</em>
2y = -4 <em>divide both sides by 2</em>
y = -2
The slope-intercept form of an equation of a line:
y = mx + b
m<em> - slope</em>
b<em> - y-intercept → (0, </em><em>b</em><em>)</em>
In the equation
y = -2
<em>slope: </em><em>m = 0</em>
<em>y-intercept: </em><em>b = -2 → (0, -2)</em>
<em />
<em>y = -2 - it's a horizontal line</em>
The solutions of the equations of the situation can be:
z = 1 , y = 5, x = 4
z= 2 , y = 3, x = 5
z=3 , y = 1, x = 6
z = 0 , y = 7, x =3
The question can be expressed as a equation
6 x + 8 y + 10 z = 84
also, x + y + z = 10
⇒ x = 10- y - z
Putting it in first equation,
6(10 - y - z ) +8y + 10z = 84
⇒ 60 +2y + 4z = 84
⇒2(y + 2z ) = 14
⇒ y + 2z = 7
Now putting
z = 1 , we get y = 5,
z= 2 , y = 3
z=3 , y = 1
z = 0 , y = 7
So, only 4 possible solutions.
Therefore, there can only be 4 possible solutions for the equations.
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Answer:
22
Step-by-step explanation:
5(5) - 6(3) + 20(1/4)4(3)(1/4)
25 - 18 + 5*12*0.25
25 - 18 + 60*0.25
25 - 18 + 15
7 + 15
22
