She would need 21 liters of fruit juice and 28 liters of lemonade.
Answer:
annewith a e
Step-by-step explanation:
To solve this problem, you must follow the proccedure below:
1. First, you must calculate the Constant of proportionality "k".
2. The problem says that t<span>he number of days needed to remodel a house varies inversely as the number of people working on the job. Then:
Number of days=K/Number of people
K=(</span>Number of days)(Number of people)
18 weeks=135 days
K=135x4
K=540
3. Now, you have:
Number of days=540/Number of people
8 weeks=60 days
Number of people=540/60
Number of people=9
<span>
How many people are needed?
The answer is: 9</span>
Answer:
![(\frac{37}{11},\frac{77}{11} )](https://tex.z-dn.net/?f=%28%5Cfrac%7B37%7D%7B11%7D%2C%5Cfrac%7B77%7D%7B11%7D%20%20%29)
Step-by-step explanation:
Given two points are (-1,7) and (7,7).
We are told to find a point which is in between them at a ratio of 6:5.
Formula for calculating a point at distance of ratio m:n is given by
![(\frac{mx2+nx1}{m+n} ,\frac{my2+ny1}{m+n} )](https://tex.z-dn.net/?f=%28%5Cfrac%7Bmx2%2Bnx1%7D%7Bm%2Bn%7D%20%2C%5Cfrac%7Bmy2%2Bny1%7D%7Bm%2Bn%7D%20%29)
where
are the inital and final points.
![(x1,y1)=(-1,7)\\\\(x2,y2)=(7,7)](https://tex.z-dn.net/?f=%28x1%2Cy1%29%3D%28-1%2C7%29%5C%5C%5C%5C%28x2%2Cy2%29%3D%287%2C7%29)
also m:n=6:5 ,
by substituting all the values we get,
![(\frac{6*7+5*-1}{11} ,\frac{6*7+5*7}{11} )](https://tex.z-dn.net/?f=%28%5Cfrac%7B6%2A7%2B5%2A-1%7D%7B11%7D%20%2C%5Cfrac%7B6%2A7%2B5%2A7%7D%7B11%7D%20%29)
![(\frac{37}{11},\frac{77}{11} )](https://tex.z-dn.net/?f=%28%5Cfrac%7B37%7D%7B11%7D%2C%5Cfrac%7B77%7D%7B11%7D%20%20%29)