To solve this problem you must follow the proccedure shown below:
1. Amount of lemonade in pints:
1 <span>quart of water=2 pints
1 pint of lemon
(9 ounces of honey)(0.0625 pints/1 ounce)=0.56 pints
Total in pints=2 pints+1 pint+0.56 pints
Total in pints=3.56 pints
2. </span>Amount of lemonade in<span> cups:
Total in cups=(3.56 pints)(2 cups/1 pint)
Total in cups=7.12 cups
3. </span>Amount of lemonade in<span> ounces:
Total in ounces=(7.12 cups)(8 ounces/1 cup)
Total in ounces=56.96 ounces</span>
Hi, ok all you need to do is use the direct variation formula which is= y/x=y/x so you will replace your numbers by each value which get us to = 3/-6=y/1 so you cross multiply which gives us 3=-6y you divide 3 by -6 and that is the value of y, thank you for reading hope it helps ;)
Answer:
1,474,951.
Step-by-step explanation:
Given a population that increases by a constant percentage, we can model the population's growth using the exponential model.
![P(t)=P_o(1+r)^t,$ where \left\{\begin{array}{lll}P_o=$Initial Population\\r$=Growth rate\\$t=time (in years)\end{array}\right\\P_o=919,716\\r=3.7\%=0.037\\$t=13 years](https://tex.z-dn.net/?f=P%28t%29%3DP_o%281%2Br%29%5Et%2C%24%20where%20%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Blll%7DP_o%3D%24Initial%20Population%5C%5Cr%24%3DGrowth%20rate%5C%5C%24t%3Dtime%20%28in%20years%29%5Cend%7Barray%7D%5Cright%5C%5CP_o%3D919%2C716%5C%5Cr%3D3.7%5C%25%3D0.037%5C%5C%24t%3D13%20years)
Therefore, the population of the city in 13 years time will be:
![P(t)=919,716(1+0.037)^{13}\\\\=919,716(1.037)^{13}\\\\=1,474,950.9\\\\\approx 1,474,951](https://tex.z-dn.net/?f=P%28t%29%3D919%2C716%281%2B0.037%29%5E%7B13%7D%5C%5C%5C%5C%3D919%2C716%281.037%29%5E%7B13%7D%5C%5C%5C%5C%3D1%2C474%2C950.9%5C%5C%5C%5C%5Capprox%201%2C474%2C951)
The population be at that time will be approximately 1,474,951.
So this is our table:
-----------------
x-values | a b c d e f |
-----------------
y-values | g h i j k l |
-----------------
You can know that the values in the table are proportional if:
![\frac{a}{g}=\frac{b}{h} =\frac{c}{i}=\frac{d}{j}=\frac{e}{k}=\frac{f}{l}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bg%7D%3D%5Cfrac%7Bb%7D%7Bh%7D%20%3D%5Cfrac%7Bc%7D%7Bi%7D%3D%5Cfrac%7Bd%7D%7Bj%7D%3D%5Cfrac%7Be%7D%7Bk%7D%3D%5Cfrac%7Bf%7D%7Bl%7D)
Hope that helps :)
A=11.55in²<span><span><span>lLengthin</span><span>wWidthin</span></span></span>