Answer: The original price of the jacket is given in the question and it is $68.
The percent of discount given on the original price is 30%.
Then
The amount of discount given = (68 * 30/100) dollar
= 20.4 dollar
The discount amount is $20.4
Now after the deduction of the sale percentage, the selling price of the jacket can be easily deduced.
Then
Selling price of the jacket = (68 - 20.4) dollars
= 47.6 dollars
Step-by-step explanation:
Answer:
It is approximately 3.10 miles from Alfonso's house to the movie theater
Step-by-step explanation:
First, identify what you know:
1) Alfonso drove from his house TO the movie theater, and then BACK to his house.
2) Alfonso's odometer shows him that the ENTIRE trip was 10 miles.
If the entire trip was 10 miles, and he only went to the move theater, AND took the same route back, then we simply divide 10 in half! This will give us the distance from his house the the movie theater, or rather, half of the trip, in kilometers.
10/2 = 5 kilometers.
Now, what is 5 kilometers in miles? Well, one mile is equal to 1.60934 kilometers, and one kilometer is equal to 0.621371 miles. So, simply multiply!
5 km x 0.621371 miles = 3.106855
The approximate distance from his house to the theater is 3.10 miles!
Hope this helps! :)
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>
(1/3) of (14-1/3) = (1/3) x (43/3) = (43/9) = about <em>(4 and 7/9) gallons</em>.
