Answer:
Let a = speed of the plane A, and b = speed of plane B.
(Assume that the net effect of the wind is negligible.)
From the first sentence, the distance between A and B after each travels for 1 hour is a + b miles. From the second sentence, after 45 minutes, or 0.75 hour, the distance between A and B is 200 miles. Plane a has traveled 0.75a, while plane B has traveled 0.75b.
Hence a + b = 0.75a + 0.75b +200
==> 0.25(a + b) = 200.
==> a + b = 800.
Therefore planes A and B are 800 miles apart now.
Answer:
x = 2
y = 0
Step-by-step explanation:
x - y = 2
2x + 3y = 4
Using creamers rule of determinants, we have;
D =
|1 1|
|2 3|
Thus; D = (1 × 3) - (1 × 2)
D = 1
Dx =
|2 1|
|4 3|
Dx = (2 × 3) - (1 × 4)
Dx = 2
Dy =
|1 2|
|2 4|
Dy = (1 × 4) - (2 × 2)
Dy = 0
Thus;
x = Dx/D = 2/1
x = 2
y = Dy/D = 0/1
y = 0
Answer:
x=-0.21...
Step-by-step explanation:
Make the expression equal 0
32x+1-3x+5=0
Combine the x terms
29x+1+5=0
Combine the constants
29x+6=0
Isolate the x term
29x=-6
Isolate the variable
x=-0.21...
(I rounded to the nearest 100th)
Each quilt takes 3 yards of material so it would be 36
