Answer:
Option B) y=4/5x
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form 
or 
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
we have that
case A) y=x+4/5
The line does not passes through the origin, is not a proportional relationship
case B) y=(4/5)x
The line passes through the origin ---->represents a proportional relationship
The slope m is equal to the constant of proportionality k
The slope m=4/5
therefore
The line y=4/5x
Represents a proportional relationship that has a constant of proportionality equal to 4/5
case C) xy=4/5
Represent an inverse variation is not a proportional relationship
case D) x+y=(4/5)
The line does not passes through the origin, is not a proportional relationship
13). z = ( 9/13)(C)
Solve for C:
Step 1: flip Equation:
9/13 c = z
Step 2: Divide both sides by 9/13
9/13 c/9/13 = z/9/13
C = 13z/9
Answer: Letter Choice, (D), C = 13z/9
12.). Let " h" be the number of hikes:
Expense of First Club:
C * h = 20 + 5h
Expense of Second CluB:
C * h = 7h
20 + 5h < 7h
20 < 2h
h > 10 hikes
Answer: The First Club is Less Expensive, If it is more than Ten Hikes.
14.). Co-Efficient of Friction Formula:
ma = F - mw
+ mw + mw (cancel out +mw)
Mw + ma = F - ma
-ma -ma (Cancel out -ma)
Divide: Both sides by w:
Mw/w = F - ma/w
Therefore, Answer: Letter Choice, (D), M = F - ma/w
Hope that helps!!!! Have a wonderful day!!!! : )
Answer:
9 at minimum
Step-by-step explanation:
a minimum of 9 because it takes a total of 8 rides to take back a full 18 cars back and the 9th ride takes back the remainder which is 0.27777777778 times 18 cars
Answer:
The time it took until 2 inches of rain fell is 8 hours
Step-by-step explanation:
You know that the proportional relationship between the amount of time (in hours) it had been raining, x, and the amount of rain (in inches) it had fallen, y, is y = 0.25*x
To find the time that passed until 2 inches of rain fell, you must replace the amount of rain (in inches) that had fallen "and" by that value. In this way the following expression is obtained:
2= 0.25*x
Solving:
8 = x
So, remembering that the amount of time it had been raining, x, is expressed in hours, <u><em>the time it took until 2 inches of rain fell is 8 hours</em></u>.
