well, putting the movie in fifths, she watched 3/5, the whole movie will be 5/5 = 1.
![\begin{array}{ccll} \stackrel{movie}{fraction}&hour\\ \cline{1-2} \frac{3}{5}&\frac{5}{8}\\[1em] \underset{whole}{1}&x \end{array}\implies \cfrac{~~ \frac{3}{5}~~}{1}=\cfrac{~~ \frac{5}{8}~~}{x}\implies \cfrac{3}{5}x=\cfrac{5}{8}\implies \cfrac{3x}{5}=\cfrac{5}{8} \\\\\\ 24x=25\implies x = \cfrac{25}{24}\implies x = 1\frac{1}{24}\qquad \textit{1 hour, 2 minutes and 30 seconds}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bccll%7D%20%5Cstackrel%7Bmovie%7D%7Bfraction%7D%26hour%5C%5C%20%5Ccline%7B1-2%7D%20%5Cfrac%7B3%7D%7B5%7D%26%5Cfrac%7B5%7D%7B8%7D%5C%5C%5B1em%5D%20%5Cunderset%7Bwhole%7D%7B1%7D%26x%20%5Cend%7Barray%7D%5Cimplies%20%5Ccfrac%7B~~%20%5Cfrac%7B3%7D%7B5%7D~~%7D%7B1%7D%3D%5Ccfrac%7B~~%20%5Cfrac%7B5%7D%7B8%7D~~%7D%7Bx%7D%5Cimplies%20%5Ccfrac%7B3%7D%7B5%7Dx%3D%5Ccfrac%7B5%7D%7B8%7D%5Cimplies%20%5Ccfrac%7B3x%7D%7B5%7D%3D%5Ccfrac%7B5%7D%7B8%7D%20%5C%5C%5C%5C%5C%5C%2024x%3D25%5Cimplies%20x%20%3D%20%5Ccfrac%7B25%7D%7B24%7D%5Cimplies%20x%20%3D%201%5Cfrac%7B1%7D%7B24%7D%5Cqquad%20%5Ctextit%7B1%20hour%2C%202%20minutes%20and%2030%20seconds%7D)
Well, QR is the hypotenuse of the triangle and PT is another side of the triangle. You can use phythagoras theorem to work this out. So squareroot 13-8. That should give your your answer
The answer is Area of ABC is greater than area of DEF.
Good luck!
Answer:
The couch should be priced at 163.85
Step-by-step explanation:
multiply the wholesale price by %145
X + y = 20
xy = -3
x + y = 20
x - x + y = -x + 20
y = -x + 20
xy = -3
x(-x + 20) = -3
x(-x) + x(20) = -3
-x² + 20x = -3
-x² + 20x + 3 = 0
-1(x²) - 1(-20x) - 1(-3) = 0
-1(x² - 20x - 3) = 0
-1 -1
x² - 20x - 3 = 0
x = -(-20) ± √((-20)² - 4(1)(-3))
2(1)
x = 20 ± √(400 + 12)
2
x = 20 ± √(412)
2
x = 20 ± 2√(103)
2
x = 10 ± √(103)
x = 10 + √(103) or x = 10 - √(103)
x + y = 20
10 + √(103) + y = 20
- (10 + √(103)) - (10 + √(103))
y = 10 - √(103)
(x, y) = (10 + √(103), 10 - √(103))
or
x + y = 20
10 - √(103) + y = 20
- (10 - √(103)) - (10 - √(103))
y = 10 + √(103)
(x, y) = (10 - √(103), 10 + √(103))
The two numbers that add up to 20 and multiply to -3 are 10 ± √(103).