I hope it helped youuuuuu
I’m pretty sure he could only make 1 rectangle with 5cm because it’s an odd number which means he couldn’t stack them on top of each other evenly like he could with the 6cm rectangles, so he’d only be able to line them up next to each other and that’s it (I hope that’s right; sorry if it’s not but it makes sense to me lol)
5.99 per pound * 1.75 pounds purchased = $10.4825. If you round it, she spent $10.48
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
