Answer:
10 hours
Step-by-step explanation:
(150/x) + 1.5 + (450/(x+15)) = 600/x
Multiply through by x(x + 15):
150(x + 15) + 1.5x(x + 15) + 450x = 600(x + 15)
150x + 2250 + 1.5x^2 + 22.5x + 450x = 600x + 9000
150x + 2250 + 1.5x^2 + 22.5x + 450x - 600x - 9000 = 0
1.5x^2 + 22.5x - 6750 = 0
x = (-22.5 +/- sqrt(22.5^2 - 4(1.5)(-6750))) / (2*1.5)
x = (-22.5 +/- sqrt(506.25 + 40500)) / 3
x = (-22.5 +/- sqrt(41006.25)) / 3
x = (-22.5 +/- 202.5) / 3
x = 180/3 or -225/3
x = 60 or -75
But a negative number doesn't make sense, so therefore x = 60, so the journey took 600/60 = 10 hours.
Answer:
In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the si…
Step-by-step explanation:
A = 103 ft²;
A = l²
l² = 103
l = √ 103 = 10.14889 ≈ 10.1
Answer: C ) 10.1 feet
Answer:
b) 10 years
Step-by-step explanation:
8,000 x .04 = 800 x 10 = 8000
Hope that helps!
From any proportion, we get another proportion by inverting the extremes (or the means):
= k
so we have:
2x=3k
2x+y=2k therefore:
3k+y=2k
y= - k
x=
= -
The corect answer is A. -3/2
or:
From any proportion, we get another proportion by inverting the extremes and the means:
We use a property of proportions:
where a, d are extremes and b,c are means and the product of the extremes equals the product of the means (a*d=b*c),
so we have
or
(you can check this also by "the product of the extremes equals the product of the means")
3y = - 2x
