Answer: It was marked down by 35%
Step-by-step explanation:
1. find the difference of the two prices, 68-44.20=23.8
Take the fraction 23.8/68 (because that is how much the price changed and you need to find what percent that is.
You get 35%
check the picture below.
if ∡F = 90° and ∡D = 30°, then the ∡A = 60°, meaning the triangle is a 30-60-90 triangle and therefore we can use the 30-60-90 rule as you see in the picture.
![\bf \textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ h=7\sqrt{3}\\ b=7 \end{cases}\implies A=\cfrac{1}{2}(7)(7\sqrt{3}) \\\\\\ A=\cfrac{49\sqrt{3}}{2}\implies A\approx 42.43524478543749369142](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20a%20triangle%7D%5C%5C%5C%5C%0AA%3D%5Ccfrac%7B1%7D%7B2%7Dbh~~%0A%5Cbegin%7Bcases%7D%0Ab%3Dbase%5C%5C%0Ah%3Dheight%5C%5C%5B-0.5em%5D%0A%5Chrulefill%5C%5C%0Ah%3D7%5Csqrt%7B3%7D%5C%5C%0Ab%3D7%0A%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Ccfrac%7B1%7D%7B2%7D%287%29%287%5Csqrt%7B3%7D%29%0A%5C%5C%5C%5C%5C%5C%0AA%3D%5Ccfrac%7B49%5Csqrt%7B3%7D%7D%7B2%7D%5Cimplies%20A%5Capprox%2042.43524478543749369142)
Answer:
x = length of sitcoms = 21 minutes
y = length of dramas = 42 minutes
Step-by-step explanation:
Let
x = length of sitcoms
y = length of dramas
6x + 6y = 372 (1)
2x + 6y = 288 (2)
Subtract (2) from (1) to eliminate y
6x - 2x = 372 - 288
4x = 84
x = 84/4
x = 21
Substitute x = 21 into (1)
6x + 6y = 372
6(21) + 6y = 372
126 + 6y = 372
6y = 372 - 126
6y = 246
y = 246/6
y = 41
x = length of sitcoms = 21 minutes
y = length of dramas = 42 minutes
