Answer
t = 3n
Step-by-step explanation:
n and t are proportional so you know they will be on the opposite ends of the equal sign. Then you know that the items are purchased at the constant price of $3. That means you do the number of items times 3 to get the total cost.
X - hours that passed after 10 pm
(x+1) 36 = x * 42 | / 6
(x+1)6 = 7x
6x+6 = 7x |-6x
x=6
They will travel same distance at 4 am.
Hello from MrBillDoesMath!
Answer:
x = log5 / ( (1/2)log6 + log5)
approximately 0.642
Discussion:
Take the logarithm of both sides ( to "pull" the exponents down so we can work on them!)
6^(x/2)) = 5^(1-x)
log ( 6^(x/2)) = log (5^(1-x)) => using log (a^n) = n log a
(x/2) log6 = (1-x) log5 => add x log5 to both sides
(x/2) log6 + xlog5 = log5 - xlog5 + xlog5 =>
(x/2) log6 + xlog5 = log5 => factor x from the lhs
x ( (1/2) log6 + log5) = log5 =>
x = log5 / ( (1/2)log6 + log5)
The above can be further simplified but that's as far as I want to take it.The value of x is approx equal to 0.642
Thank you,
MrB
1 is a factor of 24, but not a multiple of 4
2 is a factor of 24, but not a multiple of 4
3 is a factor of 24, but not a multiple of 4
6 is a factor of 24, but not a multiple of 4
