Answer:
5:6
20:24
30:36
Step-by-step explanation:
In order to find an equivalent ratio, you have to multiply or divide your numerator and denominator by the same number.
For example:
10/12 x 3/3
30/36 = 30:36
10/12 is equivalent to 30:36
They are the opposite of each other. Like if one function has the point (1,3) the inverse function with have the point (3,1)
Answer:
y ≥ 2
Step-by-step explanation:
Range is the y-axis, so we have to look at the graph to find what numbers the line hits.
The line starts at y = 2 and goes up forever (the arrow indicates this), so that means that this line hits all y-values above 2.
Therefore the range is any y-value 2 or higher, so the answer is y ≥ 2.
Points:
Quadrant I: (+, +)
Quadrant II: (-, +)
Quadrant III: (-, -)
Quadrant IV: (+, -)
Thus the point (5,4) is found in Quadrant I.
Answer:
20% alcohol = 1 gal
10% alcohol = 9 gal
Step-by-step explanation:
Let
x = 20% alcohol
y = 10% alcohol
x + y = 10 (1)
0.20x + 0.10y = 10*0.11
0.20x + 0.10y = 1.1 (2)
From (1)
x = 10 - y
Substitute x = 10 - y into (2)
0.20x + 0.10y = 1.1
0.20(10 - y) + 0.10y = 1.1
2 - 0.20y + 0.10y = 1.1
- 0.20y + 0.10y = 1.1 - 2
-0.10y = -0.9
y = -0.9/-0.10
y = 9 gal
substitute y = 9 into (1)
x + y = 10
x + 9 = 10
x = 10 - 9
x = 1 gal
20% alcohol = 1 gal
10% alcohol = 9 gal
