Answer:
4:7 - Proportion
7 - cranberry juice
4 - lemon juice
Cranberry juice = 147
Step-by-step explanation:
Well we know that 1/2 a gallon (or 0.5 gallons) is equal to 8 cups. So one gallon is 16 cups. (keep this in the back of your mind)
Now to find how many cups she drinks in a day, find out how many gallons she drinks in a week.
So 0.5 (7) = 3.5
Now compute to see how many cups are in 3.5 gallons.
Answer: 56.0001
Understand?
Answer:
X=2
Y=8
Step-by-step explanation:
Since both equations are equal to y we can equal both equations
2x+4=x+6
x=2
y=2(2)+4
y=8
Answer:
round it up and 8 is closer to ten so it would be 4 pounds
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:
