For this we just need to do a simple subtraction of 7-1.34
I find the easiest way to do this is to subtract 0.34 from 1 to give 0.66.
You can then add this to 7 - 1 - 1 = 5
So the remaining rope is 5.66
Answer : 64b^2 - 4
Hope that helps. If you need me to explain how I got my answer I will provide a picture.
Robins basket is heavier.
Teds basket: 5x7.25=36.25
Robins basket: 6x6.25=37.5
37.5-36.25= 1.25
It is heavier by 1.25 ounces or 1 and 1/4 ounces
Namely, how many times does 3¾ go into 78? well, is just their quotient.
let's firstly convert the mixed fraction to "improper", and then divide,
![\bf \stackrel{mixed}{3\frac{3}{4}}\implies \cfrac{3\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{15}{4}}\\\\ -------------------------------\\\\ \cfrac{\quad 78 \quad }{\frac{15}{4}}\implies \cfrac{\quad \frac{78}{1} \quad }{\frac{15}{4}}\implies \cfrac{78}{1}\cdot \cfrac{4}{15}\implies \cfrac{26}{1}\cdot \cfrac{4}{5}\implies \cfrac{104}{5}\implies 20\frac{4}{5}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B3%5Cfrac%7B3%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B3%5Ccdot%204%2B3%7D%7B4%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B15%7D%7B4%7D%7D%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C%0A%5Ccfrac%7B%5Cquad%2078%20%5Cquad%20%7D%7B%5Cfrac%7B15%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B%5Cquad%20%5Cfrac%7B78%7D%7B1%7D%20%5Cquad%20%7D%7B%5Cfrac%7B15%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B78%7D%7B1%7D%5Ccdot%20%5Ccfrac%7B4%7D%7B15%7D%5Cimplies%20%5Ccfrac%7B26%7D%7B1%7D%5Ccdot%20%5Ccfrac%7B4%7D%7B5%7D%5Cimplies%20%5Ccfrac%7B104%7D%7B5%7D%5Cimplies%2020%5Cfrac%7B4%7D%7B5%7D)
so, if we nevermind the 4/5 part, only 20 whole of those then.