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:
-22
Step-by-step explanation:
The function y=400-22x is a linear equation in the form y=mx + b. Although they put "mx" after "b" so the equation doesn't start with a negative.
"m" is rate of change, or the slope if graphed.
The negative means "y" decreases as "x" increases. On a graph, it decreases left to right.
By definition, the area of a rectangle is:
Where,
w: width of the rectangle
l: length of the rectangle
The total area is given by:
Where,
A1: rectangular wooden board 1
A2: rectangular wooden board 2
Substituting we have:
Rewriting we have:
Answer:
The width is given by:
Answer:
The area for a square is given by:
And we can find the dimension for one side like this:
Replacing we got:
Then since we are interested in the how many feet of fencing does she need, we can find the perimeter given by:
and replacing we got:
Step-by-step explanation:
For this case we know that Suzanne want to put a fance around a square garden with an area of 49 ft^2
The area for a square is given by:
And we can find the dimension for one side like this:
Replacing we got:
Then since we are interested in the how many feet of fencing does she need, we can find the perimeter given by:
and replacing we got:
The mug cost $12 as it is, so first you subtract 12 from 34, which is 22. From there, you divide 22 by 2.20, which would be 10. Therefore, she can get a mug and 10 refills for $34.
