Here you go!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Number of ways to select 3 books from 13 books for adoption is 286 .
<u>Step-by-step explanation:</u>
A Permutation is an ordered Combination. When the order does matter it is a Permutation. There are basically two types of permutation:
- Repetition is Allowed: such as the lock above. It could be "333".
- No Repetition: for example the first three people in a running race. You can't be first and second.
Formula is given by:
, where n is the number of things to choose from, and we choose r of them, no repetitions, order matters. Here , n=13 , r=3.
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
∴ Number of ways to select 3 books from 13 books for adoption is 286 .
X= 130°
Step-by-step explanation:
From E, draw EF || AB || CD.
Now, EF || CD and CE is the transversal.
So; <DCE + <CEF = 180° [co. int. <s]
x° + <CEF = 180°
<CEF = (180° – x°).
Again, EF || AB and AE is the transversal.
So; <BAE + <AEF = 180° 01 [co. int. <s ]
105° + <AEC+ <CEF = 180°
105° +25° + (180° – x°) = 180°
x° = 130°
I hope I helped you^_^
Price of a Cake
10.5/3= 3.5
1 Cake = $3 and 5 cents, 3.5
Price of a cookie
3.5*4=14
14 out of 14.80 was the cost of 4 cakes
Which leaves us with 0.8
8/0.8= 0.1
The Price of 1 cookie is 0.1
1 Cake: 3.5
1 Cookie: 0.1
<span>The 3 (x-coordinate) indicates that from the origin (0,0) in the cartesian plane, you have traveled four units to the right along the x-axis(the horizontal axis). </span>
<span>The 87 indicates that you traveled 87 units up in the y-axis(vertical axis), in line with the point 3 in the x-axis.This number is the y-coordinate, the second number in the ordered pair. </span>
