Answer: the old price for 1 liter is $0.3
Step-by-step explanation:
Let x represent the old price for 1 liter of petrol.
Last week a man bought 20 liters at the old price. This means that the total amount that the man paid for 20 liters is 20x.
The cost of petrol rises by 2 cents a liter. This means that the new price per liter is x + 2/100 = x + 0.02
This week he bought 10 liters at the new price. This means that the total amount that the man paid for 10 liters is
10(x + 0.02)
= 10x + 0.2
Altogether, the petrol costs $9.20. This means that
20x + 10x + 0.2 = 9.2
30x + 0.2 = 9.2
30x = 9.2 - 0.2
30x = 9
x = 9/30
x = 0.3
Find slope first:
m =y2-y1/x2-x1
m = 1--2/2--2
m = 3/4
Select a point, insert your slope, & put it into point slope form:
y-y1 =m(x-x1)
Your final answers are:
y-1=3/4(x-2)
OR
y+2 =3/4(x+2)
Answer:
60°
Step-by-step explanation:
Let angle BAE = angle ACD = x
BCD = AEC = 60°
EAC + FCA + ECF + AEC = EAC + x + 60° + 60° = 180°
EAC = 60° - x
BAC = EAC + BAE = 60° - x + x = 60°
Answer:
Step-by-step explanation:
m = 19 ; (-1,0)
y - y₁ = m (x - x₁)
y - 0 = 19 (x - [-1] )
y = 19 ( x + 1 )
y = 19x + 19
(<span>4/9)/x = 12 </span>
<span>12x = 4/9 </span>
<span>x = 4 / (9•12) = 1 / (9*3) = 1/27</span>
