<span>A particular computer takes 12 minutes to download a 36-minute TV show. How long will it take the computer to download a 2-hour movie
that would take 40 minutes</span>
Answer: 9 1/3 minutes
First create an equation with the given information; with x being the commercial time, 30=3x+2, now solve for x. First subtract 2 from each side and get 28=3x and then divide each side by 3 to get 9 and 1/3 minutes.
The answer is 20 because if you divide 15:20 by 5, you get 3:4. hope this helps!
1 km=1093.61yards
6 km= 6*1093.61yards
6 km= 6561.66yards
Answer= 6561.66 yards
Ok, I'm going to start off saying there is probably an easier way of doing this that's right in front of my face, but I can't see it so I'm going to use Heron's formula, which is A=√[s(s-a)(s-b)(s-c)] where A is the area, s is the semiperimeter (half of the perimeter), and a, b, and c are the side lengths.
Substitute the known values into the formula:
x√10=√{[(x+x+1+2x-1)/2][({x+x+1+2x-1}/2)-x][({x+x+1+2x-1}/2)-(x+1)][({x+x+1+2x-1}/2)-(2x-1)]}
Simplify:
<span>x√10=√{[4x/2][(4x/2)-x][(4x/2)-(x+1)][(4x/2)-(2x-1)]}</span>
<span>x√10=√[2x(2x-x)(2x-x-1)(2x-2x+1)]</span>
<span>x√10=√[2x(x)(x-1)(1)]</span>
<span>x√10=√[2x²(x-1)]</span>
<span>x√10=√(2x³-2x²)</span>
<span>10x²=2x³-2x²</span>
<span>2x³-12x²=0</span>
<span>2x²(x-6)=0</span>
<span>2x²=0 or x-6=0</span>
<span>x=0 or x=6</span>
<span>Therefore, x=6 (you can't have a length of 0).</span>
