Answer:
x = 387
Step-by-step explanation:
The wind acts in the opposite direction to the plane when the time is longer.
The wind acts in the same direction as the plane when the time is shorter.
Equation
d = r*t
Givens
- d = 1720
- x = plane's speed
- y = wind speed
- t1 = 5 hours
- t2 = 4 hours.
Substitution
- d = (x + y) * t
- 1720 = (x + y) * 4
- 1720 = (x - y) * 5
Since the two distances are the same, you can equate the right hand sides.
- (x + y) * 4 = (x - y)*5 Remove the brackets.
- 4x + 4y = 5x - 5y Add 5y to both sides
- 4x + 4y + 5y = 5x - 5y + 5y Combine all the terms.
- 4x + 9y = 5x Subtract 4x from both sides
- 9y + 4x - 4x = 5x - 4x Combine
- 9y = x
Now use one of the given equations with the distance
- 1720 = (x + y)*4 Substitute 9y for x
- 1720 = (9y + y) * 4 Combine
- 1720 = 10y * 4 Multiply the right
- 1720 = 40y Divide by 40
- 1720/40 = 40y/40 Do the division
- 43 = y y = wind speek
- 9y = x x = 9*y
- 9*43 = x
- x = 387 miles per hour.
Answer: Symmetric Property
Explanation: The symmetric property states that x = y, then y = x.
So the symmetric property allows us to
switch the left and right sides of an equation.
Answer:
Step-by-step explanation:
- <em>Regular hexagons have a property that cutting off the triangles obtained by joining the midpoints of consecutive sides leaves a hexagon of 3/4 of the area.</em>
This means the area of each hexagon inside out starting from the one with unit area is 4/3 of the previous one.
- 99 ⇒ 1
- 98 ⇒ 1*4/3
- 97 ⇒ 1*(4/3)²
- ...
- 1 ⇒ (4/3)⁹⁹⁻¹
<u>The original hexagon has the area of:</u>
Answer:
30
Step-by-step explanation:
You already have 40 points and every movie is two points. 100-40=60. 60 divided by 2 is 30, so you still need to watch 30 more movies.
Answer:
Option number 3 is an example of distribution
