Answer:
n=48
Step-by-step explanation:
n
_ = 1 6
3
Multiply each side by 3
n/3 * 3 = 16*3
n = 48
Answer:
$18
Step-by-step explanation:
15 x 15% = 2.25 This is the tip.
15 x 5% = 0.75 This is the tax amount.
ADD THEM ALL UP:
2.25 + 0.75 + 15 = $18
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<em>Hope this helps!!! </em></u></h3><h3><u>
<em>: )</em></u></h3>
Answer: J=12
Explanation: To make this equation easier to solve, you can make everything a whole number (a.k.a. Remove the fractions). To do so, you can multiply everything in this equation by the Least Common Multiple (LCM) of all the denominators, which is 12. The equation now becomes:
-4=3J-40
Then, solve it using normal algebra:
-4=3J-40
36=3J
J=12
Much easier, right?!
Hope that helps シ
This Question is related to Direct Proportionality
Here : The Number of Miles Driven is Directly Proportional to Number of Gallons of Gas
Number of Miles ∝ Gallons of Gas
Given Keith with 16 Gallons of Gas Drove 436 Miles
⇒ Keith with 1 Gallon of Gas would Drive - 
Miles
⇒ Keith with 1 Gallon of Gas would Drive : 27.25 Miles
⇒ Keith with 14 Gallons of Gas would Drive : 14 × 27.25 Miles
⇒ Keith with 14 Gallons of Gas would Drive : 381.5 Miles
Proof by induction
Base case:
n=1: 1*2*3=6 is obviously divisible by six.
Assumption: For every n>1 n(n+1)(n+2) is divisible by 6.
For n+1:
(n+1)(n+2)(n+3)=
(n(n+1)(n+2)+3(n+1)(n+2))
We have assumed that n(n+1)(n+2) is divisble by 6.
We now only need to prove that 3(n+1)(n+2) is divisible by 6.
If 3(n+1)(n+2) is divisible by 6, then (n+1)(n+2) must be divisible by 2.
The "cool" part about this proof.
Since n is a natural number greater than 1 we can say the following:
If n is an odd number, then n+1 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
If n is an even number" then n+2 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
Therefore by using the method of mathematical induction we proved that for every natural number n, n(n+1)(n+2) is divisible by 6. QED.
