This kind of problem assumes that the two people working together work for the same amount of time.
Renee can sew a quilt in 16 hours, so she can sew 1/16 of a quilt each hour. Gerena sews a quilt in 12 hours, so she can sew 1/12 of a quilt each hour.
Use the variable t represent the time Renee and Gerena work together (measured in hours). The part of a quilt Renee sews is
. the part of the quilt that Gerena sews is ![\frac{1}{12}t](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B12%7Dt%20)
Together, they sew one quilt, so
![\frac{1}{16}t + \frac{1}{12}t = 1](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B16%7Dt%20%2B%20%5Cfrac%7B1%7D%7B12%7Dt%20%3D%201%20)
Multiply all the terms by 48 (the Least Common Multiple of 16 and 12).
hours.
Answer:
![\frac{d-5c}{5d^2}](https://tex.z-dn.net/?f=%5Cfrac%7Bd-5c%7D%7B5d%5E2%7D)
![\frac{2}{y}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7By%7D)
21nk
Step-by-step explanation:
![\frac{1}{5d}- \frac{c}{d^2} \\](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5d%7D-%20%5Cfrac%7Bc%7D%7Bd%5E2%7D%20%5C%5C)
We need to get the denominators to be the sameso what can you do to 5d and d^2 to be the same? If you multiply 5d by d you get 5d^2 and if you multiply d^2 by 5 you get 5d^2. And whatever you have to do to the denominator you do to the numerator.
![\frac{d}{d}*\frac{1}{5d}-\frac{5}{5}*\frac{c}{d^2}\\\frac{d}{5d^2}-\frac{5c}{5d^2}\\ \frac{d-5c}{5d^2}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bd%7D%2A%5Cfrac%7B1%7D%7B5d%7D-%5Cfrac%7B5%7D%7B5%7D%2A%5Cfrac%7Bc%7D%7Bd%5E2%7D%5C%5C%5Cfrac%7Bd%7D%7B5d%5E2%7D-%5Cfrac%7B5c%7D%7B5d%5E2%7D%5C%5C%20%5Cfrac%7Bd-5c%7D%7B5d%5E2%7D)
Once you have the same denominator you can just add or subtract the numerators as needed. You don't need to do this for multiplication or division
Multiplying is super easy, just multiply the denominators and the numerators.
![\frac{3x}{y^2}*5y\frac{2}{15x} \\\frac{3x}{y^2}*\frac{5y*2}{15x}\\\frac{3x}{y^2}*\frac{10y}{15x}\\\frac{3x*10y}{y^2*15x}\\\frac{30xy}{15xy^2}\\\frac{2}{y}](https://tex.z-dn.net/?f=%5Cfrac%7B3x%7D%7By%5E2%7D%2A5y%5Cfrac%7B2%7D%7B15x%7D%20%20%5C%5C%5Cfrac%7B3x%7D%7By%5E2%7D%2A%5Cfrac%7B5y%2A2%7D%7B15x%7D%5C%5C%5Cfrac%7B3x%7D%7By%5E2%7D%2A%5Cfrac%7B10y%7D%7B15x%7D%5C%5C%5Cfrac%7B3x%2A10y%7D%7By%5E2%2A15x%7D%5C%5C%5Cfrac%7B30xy%7D%7B15xy%5E2%7D%5C%5C%5Cfrac%7B2%7D%7By%7D)
Let me know if you don't get how things canceled out.
Division is almost as simple as multiplication. The second fraction gets flipped and you multiply them.
![\frac{\frac{12mn^2}{k} }{\frac{4mn}{7k^2} }\\\frac{12mn^2}{k}*\frac{7k^2}{4mn}\\ \frac{12mn^2*7k^2}{k*4mn}\\ \frac{84mn^2k^2}{4mnk}\\ 21nk](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B12mn%5E2%7D%7Bk%7D%20%7D%7B%5Cfrac%7B4mn%7D%7B7k%5E2%7D%20%7D%5C%5C%5Cfrac%7B12mn%5E2%7D%7Bk%7D%2A%5Cfrac%7B7k%5E2%7D%7B4mn%7D%5C%5C%20%5Cfrac%7B12mn%5E2%2A7k%5E2%7D%7Bk%2A4mn%7D%5C%5C%20%5Cfrac%7B84mn%5E2k%5E2%7D%7B4mnk%7D%5C%5C%2021nk)
Again, let me know if you don't understand how things cancel out or got multiplied or something else.
Answer:
1st bacteria : 2nd bacteria
t^2-3t+4 ( 3rd option)
Step-by-step explanation:
Answer:
<h2>
Option B is the right option</h2>
No, because one X value corresponds to two different y- values.
Step-by-step explanation:
Function has only one output for each input.
Hope this helps..
Good luck on your assignment..
I think the answer would be 124.50 multiplied by 0.35 which is 43.57 but i do not know for sure