Answer: 6.150943396
6.15 if rounded
Step-by-step explanation:
The succesor of the natural number 2012 is 2013.
Answer:
<em>There are 144 cards in 12 packages</em>
Step-by-step explanation:
<u>Direct Proportion</u>
The number of trading cards is directly proportional to the number of packages. We are given there are 84 cards in 7 packages.
Let x= number of packages, y=total number of cards
The direct variation equation is:
y = m.x
Where m is a constant we need to find by using the given data: y=84 when x=7, thus
84 = 7m
Dividing by 7:
m = 84/7=12
The equation is:
y = 12x
For x = 12 packages:
y = 12*12 = 144 cards
The answer is:
There are 144 cards in 12 packages
Answer:
Only options, A and E give 625/n¹² on simplification. The other options do not apply.
(5n⁻³)⁴ = (625/n¹²)
(25n⁻⁶)² = (625/n¹²)
Step-by-step explanation:
625/n¹²
a) (5n⁻³)⁴
According to the law of indices, this becomes
(5⁴)(n⁻³)⁴ = 625(n⁻¹²) = 625/n¹²
This applies!
b) (5n⁻³)⁻⁴
According to the law of indices, this becomes
(5⁻⁴)(n⁻³)⁻⁴ = (n¹²)/625 = n¹²/625
Does Not apply!
c) (5n⁻⁴)³
This becomes
(5³)(n⁻⁴)³ = 125n⁻¹² = 125/n¹²
Does Not apply!
d) (25n⁻⁶)⁻²
This becomes
(25⁻²)(n⁻⁶)⁻² = n⁻¹²/625 = 1/(625n¹²)
Does Not apply!
e) (25n⁻⁶)²
This becomes
(25²)(n⁻⁶)² = 625n⁻¹² = 625/n¹²
This applies!