Answer:
Step-by-step explanation:
If quantities vary directly, then one is simply the other multiplied by a fixed number. All sets of two numbers in a direct variation are one number multiplied by a fixed number to get the second number.
Example:
1 gallon of gasoline costs $3.50
2 gallons of gasoline cost $7.00
3 gallons of gasoline cost $10.50
Is the price of gasoline a direct variation based on the number of gallons?
3.5/1 = 3.5
7/2 = 3.5
10.5/3 = 3.5
When you multiply 1 gal, 2 gal, and 3 gal by the constant number 3.5 $/gal, you get the price. Since the multiplication is always by the same number, it is a direct variation.
Answer:
6x214=1284
1284-3 is 1281
Step-by-step explanation:
Answer:
91in in feet 7.5ft
Step-by-step explanation:
Answer:
y = 3.2 units
Step-by-step explanation:
Find the missing angle measure x. Use the fact that all interior angle measures in a triangle add up to 180 degrees.
- 55 + 50 + x = 180
- 105 + x = 180
- x = 75
We can use the Law of Cosines to determine the missing side length y.
- a² = b² + c² - 2bc · cos(A)
Let's set UW (y) as a, WV as b, and UV as c. Therefore, ∠V must be A, ∠U must be B, and ∠W must be C.
Use the Law of Cosines to solve for a (side length y).
- a² = b² + c² - 2bc · cos(A)
- a² = (4)² + (3.5)² - 2(4)(3.5) · cos(50)
- a² = 28.25 - 28cos(50)
- a² = 28.25 - 17.99805307
- a² = 10.25194693
- a = 3.20186616366
Side length y is equal to 3.2 units.
7 teams. The highest common factor between 28 and 35 is 7, thus the greatest number of teams possible with equal numbers of both genders will be 7.
