The speed to the island is x. The speed to return is x+5.
The distance is the same so, 2.5 multiplied by x = 2×(x+5).
It took 2.5 hrs to get there and 2 hrs to return. Now all we have to do is solve.
2.5*x = 2x + 10
.5x = 10
x=20
Therefore, the distance between islands is 2.5 × 20 = 50 miles.
hope this helps!
we know that
if two lines are parallel
then
their slopes are equal
Step 1
Find the slope of the line 2x + 5y = 4
2x + 5y = 4------> 5y=4-2x-----> y=(4/5)-(2/5)x------> slope m=(-2/5)
step 2
with m=-2/5 and the point (5, –4) find the equation of the line
y-y1=m*(x-x1)------> y+4=(-2/5)*(x-5)----> y=(-2/5)x+2-4
y=(-2/5)x-2
therefore
the answer is the option D
Answer:
-2
Step-by-step explanation:
Add 5 to both sides to get
3x-5+5=-11+5
and simplify to get
3x = -6
x = -2
Given that grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height.
So if D is the diameter and h is the height of the conical pile then we can write:
D=3h
We know that diameter = 2r, where r is the radius
2r=3h

Volume of conical pile is given by formula

Given that volume is 1110 cubic feet.
Now plug the values of Volume and r into equation of volume





take cube root of both sides
7.78103342467=h
Hence height is approx 7.78 feet.
This is an example of a systematic sample.
Dr. Jon developed a system in order to get a random sample. His plan was to survey the 4th student that entered his classroom.