Answer:
a = 20 . . . . liters
Step-by-step explanation:
To solve this, multiply the equation by 30+a:
a = 0.4(30 +a)
a = 12 + 0.4a . . . . . eliminate parentheses
0.6a = 12 . . . . . . . . subtract 0.4a
a = 12/0.6 = 20 . . . divide by the coefficient of a
20 L of alfalfa must be added
_____
<em>Check</em>
20/(30+20) = 20/50 = 40/100 = 0.4 . . . . . . answer checks OK
Answer:
22.5 miles
Step-by-step explanation:
No traffic :
Let speed = x
Time taken = 30 = 30/60 = 0.5 hour
Speed = distance / time
Distance = d
x = d / 0.5 - - - (1)
With traffic :
Speed = x - 30
Time taken = 1 hour 30 minutes = 1.5 hour
x - 30 = d / 1.5
x = d/1.5 + 30 - - - - (2)
Equating (1) and (2)
d / 0.5 = d/1.5 + 30
d /0.5 - d /1.5 = 30
(1.5d - 0.5d) / 0.75 = 30
1.5d - 0.5d = 22.5
1d = 22.5
Hence,
d = 22.5 miles
Answer:
Ruler: £0.90
Pencil: £0.60
Step-by-step explanation:
Ruler = x
Pencil = y
2x + y = 2.4
5x + y = 5.1
3x = 2.7
x = 0.9
y = 0.6
Answer:
Step-by-step explanation:
Triangle A, transforms into a smaler size, and goes into full shape. Triangle B, goes into the negative numbers.
In this question , we have a graph given, and we have to find the x coordinate of the intersection point .
From the graph , the input value is approximately 3.3 .
In the graph,
And for g(x), we need the slope and y intercept .
Slope is the ratio of rise and run .
Here rise equals 3 units and run equals 2 units. And the graph touch the y axis at -2 .
So the equation of g(x) is
We need to do
Substituting the values of the two functions, we will get
Adding 2 to both sides
Cross multiplication
So the input value is 3.3 approx
