Answer:
14hrs
Step-by-step explanation:
v = speed in still water
t = downstream trip time
d = distance = 182 miles; same distance both downstream and upstream
t + 12 = upstream return trip time
u = current flow = 3 mph
Downstream: d = (v + u)t; Upstream: d = (v - u)(t + 12)
(v - 3)(t + 12) = 182 (equation 1)
(v + 3)t = 182 (equation 2)
Subtract equation 2 from equation 1 to get t:
(vt + 12v -3t -36) - (vt + 3t) = 0
12v - 6t - 36 = 0
t = 2v - 6
Substitute this result for t into equation 2 and solve for v:
(v + 3)(2v - 6) = 182
2v^2 - 6v + 6v - 18 = 182
v^2 = 100
v = 10 mph
t = 2v - 6 = [2(10) - 6] hrs = 14 hrs
To answer this item, I would assume that the pasture is in a rectangular form. The area of a rectangle is the product of the dimensions. Let x be one of the sides of the pasture and the other dimension will become x+2. The equation that would best represent the scenario is,
<em>A = (x)(x + 2)</em>
Answer:
It's actually: None of these.
Think about it: In this case we have an inequality, of x ≤ 0.
This basically means, that x can be less than OR equal to 0.
But 0 is neither negative or positive, so we can eliminate the following answer choices:
- all positive integers
- all negative real numbers
- all positive real numbers
- all negative integers
And we are left with "None of these"
Let me know if this helps!
Given:
The ratio of the area between a small square of land and a large square
of land is 3: 7.
Total area of the two squares of land (in sq. meter) is 4000.
Required:
The area of each square of land.
Answer:
We have the ratio of the area between a small square of land and a large square of land is 3: 7.
Let
be the area of the square of land.
Then their ratio is given by,
Also given that the total area of the two squares of land (in sq.meter) is
4,000.
The area of
Therefore,
Therefore,the area of small square (in sq. meter) is,
and the area of large square (in sq. meter) is,
Final Answer:
The area of small and large square respectively (in sq. meter) is,1200 and 2800.
Answer:
(C) Sample: the 120 students surveyed. Population: the 1200 students at the high school. Parameter of interest: the average number of hours a student at this high school sleeps per night.
Step-by-step explanation:
The correct answer is (C). The sample is a subset of the population, and the parameter is a characteristic of the population of interest.
