Answer:
4.5
Step-by-step explanation:
Answer:

Step-by-step explanation:
The function is 
Changing functional notation of a(m) to y:

Now, interchanging m and y:

Now, solving for y:
![e^{0.423y}=\frac{m}{0.6735}\\ln[e^{0.423y}]=ln[\frac{m}{0.6735}]\\0.423y=ln(\frac{m}{0.6735})\\y=\frac{ln(\frac{m}{0.6735})}{0.423}](https://tex.z-dn.net/?f=e%5E%7B0.423y%7D%3D%5Cfrac%7Bm%7D%7B0.6735%7D%5C%5Cln%5Be%5E%7B0.423y%7D%5D%3Dln%5B%5Cfrac%7Bm%7D%7B0.6735%7D%5D%5C%5C0.423y%3Dln%28%5Cfrac%7Bm%7D%7B0.6735%7D%29%5C%5Cy%3D%5Cfrac%7Bln%28%5Cfrac%7Bm%7D%7B0.6735%7D%29%7D%7B0.423%7D)
Thus, the inverse function is:

Originally the ratio is 5:3, but we can make this ration 5x:3x because its equal. By doing so, we know that 5x+3x=32.
Now just solve the equation:
5x+3x=32
8x=32
x=4.
Now insert x into ratio.
Since she needs 3x of guava juice, she needs 3*4 fl oz of guava juice. She need 12 fl oz of guava juice.
Answer:
12 FL OZ of guava juice.
3)The original rational number was 17/12.
4)The age of Ruby and Reshma are 20 and 28 years respectively.
Explanation:
3)Let the numerator be x.
So denominator will be (x - 5)
If we add 5 to numberator then it will be (x + 5)
New number is (x + 5)/(x - 5)=11/6
Solve for X by cross multiplying
6(x + 5)=11(x - 5)
6x + 30=11x - 55
5x=85
x=17
So original rational number was 17/12.
4)The ages of Ruby and Reshma are in the ratio 5:7
So, let the present ages of Ruby and Reshma be 5x and 7x respectively.
Also, it is given that four years from now the ratio of their ages will be 3:4
So, the equation - 5x + 4 / 7x + 3 = 3/4
⇒4(5x+4)=3(7x+4)
⇒20x+16=21x+12
⇒21x−20x=16−12
⇒x=4
⇒5x=20 and 7x=28
The age of Ruby and Reshma are 20 and 28 years respectively.
2,000, 200 and 20 are similar except for the number of zeros.
You can remove a zero from each to equal the number of zeros in the divisor. So 80,000 ÷ 2,000 is equivalent to 80 ÷ 2 = 40 you just remove the 3 zeros
80,000 ÷ 200 is equivalent to 800 ÷ 2 = 400 you just keep removing 0s like for instance this time it was 2 lastly 80,000 ÷ 20 only allows us to remove 1 zero 8,000 ÷ 2 = 4,000. The smaller the divisor the greater the quotient when dividing the same number like for instance in this example 80,000