Answer: 166
Step-by-step explanation:
Number of trophies = 3
Total Legos required for all trophies = 324
Number of Legos for largest trophy(A) = 220
Number of Legos for smallest trophy(B) = 135
Number of Legos required for final trophy(C)
=?
Total Legos = [Number of Legos for largest trophy(A) + Number of Legos for smallest trophy(B) + Number of Legos required for final trophy(C)]
324 = 220 +135 + C
324 = 355 + C
324 - 355 = C
-31 = C
135 + 31 = 166
D no Solution would be the answer
Answer:
227 sides
Step-by-step explanation:
The sum of the interior angles of a convex polygon is S=180(n-2) where n is the number of sides. If S=40500, then we have our equation 40500=180(n-2) and we can solve for n:
40500 = 180(n-2)
225 = n-2
227 = n
Therefore, the number of sides in the regular polygon is 227.
Step-by-step explanation:
Choosing 4 digits out of 10 = 10C4 = 210.
Arranging the 4 digits in 4 places = 4!
Total number of ways to arrange digits
= 210 * 4! = 5040.
Choosing 2 letters out of 26 = 26C2 = 325
Arranging the 2 letters in 2 places = 2!
Total number of ways to arrange letters
= 325 * 2! = 650.
Total number of possible license plates
= 5040 * 650 = 3,276,000.