Answer:
a: 448 gallons
b: 5 fish
Step-by-step explanation:
Answer:
(a) x = -2y
(c) 3x - 2y = 0
Step-by-step explanation:
You can tell if an equation is a direct variation equation if it can be written in the format y = kx.
Note that there is no addition and subtraction in this equation.
Let's put these equations in the form y = kx.
(a) x = -2y
- y = x/-2 → y = -1/2x
- This is equivalent to multiplying x by -1/2, so this is an example of direct variation.
(b) x + 2y = 12
- 2y = 12 - x
- y = 6 - 1/2x
- This is not in the form y = kx since we are adding 6 to -1/2x. Therefore, this is <u>NOT</u> an example of direct variation.
(c) 3x - 2y = 0
- -2y = -3x
- y = 3/2x
- This follows the format of y = kx, so it is an example of direct variation.
(d) 5x² + y = 0
- y = -5x²
- This is not in the form of y = kx, so it is <u>NOT</u> an example of direct variation.
(e) y = 0.3x + 1.6
- 1.6 is being added to 0.3x, so it is <u>NOT</u> an example of direct variation.
(f) y - 2 = x
- y = x + 2
- 2 is being added to x, so it is <u>NOT</u> an example of direct variation.
The following equations are examples of direct variation:
If 7 action figures are on each shelf
Then
in 2 shelves, there are
2x7 = 14 figures
Answer is
shelves hold 14 figures
Answer:
196
Step-by-step explanation:
Answer:
56 gallons
Step-by-step explanation:
When her gas tank is full, she has x gallons in the tank.
when she went to the gas station, she had (5/8) of x gallons of gas in her tank. she added 21 gallons into her tank, then she had x gallons in her tank.
(5/8)x + 21 = x
subtract x and 21 from both sides
(5/8)x - x = -21
factor out an x from the left side
x(5/8 - 1) = -21
simplify the parenthesis
x(-3/8) = -21
multiply both sides by -8/3
x= 56 gallons
