Answer:
you need to substitute values on the next form of resolving this problem as follows...
A hose fills up a hot tub at a rate of 3.2 gallons per minute. How many hours will it take to fill a 300 gallon hot tub?
please explain the method of unit conversions as thoroughly as possible.
Solution:
The rate of fill up is, Rate = 3.2 Gallons / minute = 3.2 g/min
The hut tub volume is 300 Gallons
You can set up this problem as follows:
Every 3.2 gallons require 1 minute, How many minutes 300 gallons require?
3.2 g 1min
300 g ? min = (300 gallons x 1min/ 3.2 gallons)=(300/32)min
= 93.75 min
or simply the number minutes is the time required (T) the rate is (R) and the volume is (V)
such that T=V/R= (300g/3.2 g/min)= 93.75 min
Can you mark as BREINLEST
No, it would be $360 final price
Because 720 is the price raised 50% higher from 480
When discounted 50% from 720 the 50% is 360
So $360
Answer:
D) log5(15)
Step-by-step explanation:
The relevant rule of logarithms is called the "change of base formula:"
![\log_b(a)=\dfrac{\log(a)}{\log(b)}](https://tex.z-dn.net/?f=%5Clog_b%28a%29%3D%5Cdfrac%7B%5Clog%28a%29%7D%7B%5Clog%28b%29%7D)
The logs on the right side of this equation can have any base, provided both have the same base.
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Your expression can be simplified as follows:
![\dfrac{\log_5(m)}{\log_{15}(m)}=\dfrac{\left(\dfrac{\log(m)}{\log(5)}\right)}{\left(\dfrac{\log(m)}{\log(15)}\right)}=\dfrac{\log(15)}{\log(5)}=\boxed{\log_5(15)}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Clog_5%28m%29%7D%7B%5Clog_%7B15%7D%28m%29%7D%3D%5Cdfrac%7B%5Cleft%28%5Cdfrac%7B%5Clog%28m%29%7D%7B%5Clog%285%29%7D%5Cright%29%7D%7B%5Cleft%28%5Cdfrac%7B%5Clog%28m%29%7D%7B%5Clog%2815%29%7D%5Cright%29%7D%3D%5Cdfrac%7B%5Clog%2815%29%7D%7B%5Clog%285%29%7D%3D%5Cboxed%7B%5Clog_5%2815%29%7D)