Answer: (a) 6760000
(b) 5760000
Step-by-step explanation:
Total letters in English alphabet = 26
Total digits = 10
Given: Each automobile license plate number consists of two letters followed by a four-digit.
(a) If there are no restrictions, then the total number of license plates formed = 26 x 26 x 10 x 10 x 10 x 10
= 6760000
(b) if the letters O and I are not used, total letters can be used ]= 26-2=24
Then the total number of license plates formed = 24 x 24 x 10 x 10 x 10 x 10
=5760000
Answer:
11° is the measure of the exterior angles
Step-by-step explanation:
Theorem: Alternate exterior angles are congruent when two parallel lines cut by a transversal.
First we solve for x using the theorem
6x + 5 = 7x + 4
x = 1
Substitute x = 1 into 6x + 5
6(1) + 5 = 6 + 5 = 11°
Answer:
t=-8
Step-by-step explanation:
-2 (t- 1) = 18
Divide each side by -2
-2 (t- 1)/-2 = 18/-2
t-1 = -9
Add 1 to each side
t-1+1 = -9+1
t = -8
5a + 15 = 24b so,
10a + 30 = 48b,
sub to third equation,
10a + 30 + 35c = 49
10a + 35c = 19
perform elimination with second equation
10a + 45c = 21
10a + 35c = 19
________________-
10c = 2
c = 1/5
sub to second equation,
10a + (45)(1/5) = 21
10a + 9 = 21
10a = 12
a = 6/5
sub to first equation
(5)(6/5) - 24b = -15
6 + 15 = 24b
21 = 24b
b = 7/8
redo the calculations, correct me if I'm wrong
