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
1.5 yards is the correct answer
54in=4ft 6in=1.5yd
Answer:
Step-by-step explanation:
Simplify
6 + -3x = 5x + -10x + 8
terms:
6 + -3x = 8 + 5x + -10x
Combining like terms: 5x + -10x = -5x
6 + -3x = 8 + -5x
Solving
6 + -3x = 8 + -5x
Move all terms containing x to the left, all other terms to the right. (Remember)
Add '5x' to each side of the equation.
6 + -3x + 5x = 8 + -5x + 5x
Combine the like terms -3x + 5x = 2x
6 + 2x = 8 + -5x + 5x
Combine the like terms again -5x + 5x = 0
6 + 2x = 8 + 0
6 + 2x = 8
Then '-6' to each side of the equation.
6 + -6 + 2x = 8 + -6
Combine the like terms: 6 + -6 = 0
0 + 2x = 8 + -6
2x = 8 + -6
Combine the like terms: 8 + -6 = 2
2x = 2
Then divide each side by '2'.
x = 1
Simplifying
x = 1
Answer:
−7
Step-by-step explanation:
Answer:
1. n=2
2. n=12
3. n=2
Step-by-step explanation:
1
12xy³/4xⁿy=3y²/x
12x²y³=12y³xⁿ (cross multiplied)
x²=xⁿ (cancelled out (12y³))
2=n
2
(-3a/2b⁴)³=-27a³/8bⁿ
-27a³/8b¹²=-27a³/8bⁿ (cubed left side)
-216a³bⁿ =-216a³b¹² (cross multiplied)
bⁿ=b¹² (cancelled out (-216a³))
n=12
3
(xy⁶/x⁵yⁿ)²=y⁸/x⁸
x²y¹²/x¹⁰y²ⁿ=y⁸/x⁸ (squared left side)
x²y¹²/x¹⁰y²yⁿ=y⁸/x⁸
y¹⁰/x⁸yⁿ=y⁸/x⁸ (simplified)
y¹⁰x⁸=x⁸yⁿy⁸ (cross multiplied)
y²=yⁿ (cancelled out (x⁸), simplified)
n=2
