Answer:
Step-by-step explanation:
if Juanita has 52 dollars and this sum represents 20%
the bicycle costs 52*5=260 dollars
<span>If line m is parallel to line k, then it has a slope of C)2/3</span>
Answer:
Step-by-step explanation:
(5x2+3x+4)-(2x2+5-1)=0
(10+3x+4)-(4+5-1)=0
(14+3x)-(8)=0
(14)-(8)=3x
6=3x
x=2
Answer:
The coordinates of the point that divides the line segment directed from A to B in the ratio of 1:3 is P ( 2 , 2.25 ).
Step-by-step explanation:
Given:
Let Point P ( x , y ) divides Segment Am in the ratio 1 : 3 = m : n (say)
point A( x₁ , y₁) ≡ ( 1 , 2)
point B( x₂ , y₂) ≡ (5 , 3)
To Find:
point P( x , y) ≡ ?
Solution:
IF a Point P divides Segment AB internally in the ratio m : n, then the Coordinates of Point P is given by Section Formula as
![x=\frac{(mx_{2} +nx_{1}) }{(m+n)}\\ \\and\\\\y=\frac{(my_{2} +ny_{1}) }{(m+n)}\\\\](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B%28mx_%7B2%7D%20%2Bnx_%7B1%7D%29%20%7D%7B%28m%2Bn%29%7D%5C%5C%20%5C%5Cand%5C%5C%5C%5Cy%3D%5Cfrac%7B%28my_%7B2%7D%20%2Bny_%7B1%7D%29%20%7D%7B%28m%2Bn%29%7D%5C%5C%5C%5C)
Substituting the values we get
![x=\frac{(1\times 5 +3\times 1) }{(1+3)}\\ \\and\\\\y=\frac{(1\times 3 +3\times 2) }{(1+3)}\\\\\therefore x = \frac{8}{4}=2 \\\\and\\\therefore y = \frac{9}{4}=2.25 \\\\\\\therefore P(x,y) = (2 , 2.25)](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B%281%5Ctimes%205%20%2B3%5Ctimes%201%29%20%7D%7B%281%2B3%29%7D%5C%5C%20%5C%5Cand%5C%5C%5C%5Cy%3D%5Cfrac%7B%281%5Ctimes%203%20%2B3%5Ctimes%202%29%20%7D%7B%281%2B3%29%7D%5C%5C%5C%5C%5Ctherefore%20x%20%3D%20%5Cfrac%7B8%7D%7B4%7D%3D2%20%5C%5C%5C%5Cand%5C%5C%5Ctherefore%20y%20%3D%20%5Cfrac%7B9%7D%7B4%7D%3D2.25%20%5C%5C%5C%5C%5C%5C%5Ctherefore%20P%28x%2Cy%29%20%3D%20%282%20%2C%202.25%29)
The coordinates of the point that divides the line segment directed from A to B in the ratio of 1:3 is P ( 2 , 2.25 ).
If the probability of the first sock is red and their are 10 socks in total (same with the second sock). they should both add up to 2/20 probability chance.