The original price is $130
you should find out 19.5 is 15% of what number ( if he saved $19.5
so the 15% off sale was $19.5 less than the original price.) the answer will be :
19.5*100 /15 = 1950 /15= 130
good luck
Answer:
2:3
Step-by-step explanation:
let the ratio be k:1
![-1=\frac{2k+1(-3)}{k+1}\\-k-1=2k-3\\2k+k=-1+3\\3k=2\\k=\frac{2}{3}\\so~ratio~is~\frac{2}{3}:1\\or~2:3](https://tex.z-dn.net/?f=-1%3D%5Cfrac%7B2k%2B1%28-3%29%7D%7Bk%2B1%7D%5C%5C-k-1%3D2k-3%5C%5C2k%2Bk%3D-1%2B3%5C%5C3k%3D2%5C%5Ck%3D%5Cfrac%7B2%7D%7B3%7D%5C%5Cso~ratio~is~%5Cfrac%7B2%7D%7B3%7D%3A1%5C%5Cor~2%3A3)
![\frac{-12}{5}=\frac{2(0)+3(-4)}{2+3}\\or~-12=0-12\\-12=-12](https://tex.z-dn.net/?f=%5Cfrac%7B-12%7D%7B5%7D%3D%5Cfrac%7B2%280%29%2B3%28-4%29%7D%7B2%2B3%7D%5C%5Cor~-12%3D0-12%5C%5C-12%3D-12)
which is true.
There are 2 sides to a coin so 2 outcomes so far
then 3 balls to chose from so 3 times as many
so
h=heads
t=tails
r=red
b=blue
g=green
I will put them into slots where column 1 is coins and column 2 is color of ball
1, 2
h, r
h, b
h, g
t, r
t, b
t, g
there are 6 possible outcomes
another way is to multiply all the choices together so 2 coin choices and 3 ball choices so 2 times 3=6
We know the bottom triangle is a 45, 45, 90 triangle, so the hypotenuse is √2 times the value of the legs:
(√2)(√2)
=√4
=2
Now, we can use this to solve for y. The top triangle is a 30, 60, 90 triangle. The side we found above is the side across from the 30 degree angle. The side opposite the 60 degree angle is √3 times the side across the 30 degree angle. Therefore, we can solve for y by multiplying 2 by √3
y=2√3