Answer:
Explained
Step-by-step explanation:
The trunk of a tree grows in two different ways, first in height and second in diameter.Usually tree grows one ring per year in diameter. So, counting the number of rings we can determine the age of a tree. Both height and diameter growth does not occur at the same rate. Tree grows more in height than in their diameter. Mature trees usually grows 1 inch in diameter every year.
Water oak gains 24 inches in height every year and 1.5 inch growth in diameter annually, meaning if we divide 1.5 inches by 12 months we gets 0.125 inches growth monthly. So a water oak tree needs only 8 months to grow 1 inch in diameter.
Answer:
18/36 or 1/2
Step-by-step explanation:
There are 18 nickels, which is the numerator.
You add all the numbers together to get the denominator, which is 12+6+18=36.
Then, you put the two values in a fraction - 18/36
and simplify, to get you 1/2.
let's firstly convert the mixed fractions to improper fractions and then divide.
![\bf \stackrel{mixed}{6\frac{1}{2}}\implies \cfrac{6\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{13}{2}}~\hfill \stackrel{mixed}{1\frac{5}{8}\implies \cfrac{1\cdot 8+5}{8}}\implies \stackrel{improper}{\cfrac{13}{8}} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B6%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B6%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B13%7D%7B2%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B1%5Cfrac%7B5%7D%7B8%7D%5Cimplies%20%5Ccfrac%7B1%5Ccdot%208%2B5%7D%7B8%7D%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B13%7D%7B8%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
![\bf \stackrel{\textit{total salad}}{\cfrac{13}{2}}\div \stackrel{\stackrel{\textit{conainer's}}{\textit{capacity}}}{\cfrac{13}{8}}\implies \cfrac{\begin{matrix} 13 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}{\underset{1}{\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}}\cdot \cfrac{\stackrel{4}{\begin{matrix} 8 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}}{\begin{matrix} 13 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}\implies 4](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7Btotal%20salad%7D%7D%7B%5Ccfrac%7B13%7D%7B2%7D%7D%5Cdiv%20%5Cstackrel%7B%5Cstackrel%7B%5Ctextit%7Bconainer%27s%7D%7D%7B%5Ctextit%7Bcapacity%7D%7D%7D%7B%5Ccfrac%7B13%7D%7B8%7D%7D%5Cimplies%20%5Ccfrac%7B%5Cbegin%7Bmatrix%7D%2013%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D%7D%7B%5Cunderset%7B1%7D%7B%5Cbegin%7Bmatrix%7D%202%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D%7D%7D%5Ccdot%20%5Ccfrac%7B%5Cstackrel%7B4%7D%7B%5Cbegin%7Bmatrix%7D%208%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D%7D%7D%7B%5Cbegin%7Bmatrix%7D%2013%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D%7D%5Cimplies%204)
Answer:
b = -18
Step-by-step explanation:
-1/6b=3
Multiply each side by -6
-6*-1/6b=3(-6)
b = -18
