<h2>
Answer: 6 gallons </h2>
First we are told that we initially had 1/3 of the tank and when 10 gallons were added we had 3/4 of the tank:
(1)
(2)
(3)
This means 1 gallon is equivalent to 1/24 tank.
On the other hand if we have 3/4 of a tank and need to reach 1 tank we have to add another fraction of the tank:
(4)
(5)>>>>This is the fraction needed to complete 1 tank
Now we need to know <u>how much that 1/4 tank is equivalent in gallons</u>.
From (3) we know . So, we can write the following relation to transform from fractions of a tank to gallons:
Therefore:
<h2>
6 more gallons are needed to fill the tank</h2>
There are 16 girls and 20 boys....the ratio of girls to boys is 16/20 which reduces to 4/5 or 4:5 or 4 to 5.
An exponential function is given by
Given two points, (m, n) and (p, q), we find the equation of the exponential function as follows:
From (1), we have:
Therefore, the equation of an exponential function given two points (m, n) and (p, q) is given by
[i.e. you can choose any set of points and substitute the values in the equation above to get the exponential equation]
The slant height is 39. If you need work show, let me know.
Answer:
The amount of ounces, Y, of the 12% substance is 3.33 ounces
Step-by-step explanation:
The word problem has the task of discovering the required amount of the substance containing the 12% cottonseed required to create a snore suppressing substance with 8% cottonseed
Let the amount of the substance with 6% cottonseed in the 10 ounce substance be X and the amount of the substance with 12% cottonseed be Y
We have;
X×6% + Y×12% = 10 ounce × 8%
Which gives;
0.06×X + 0.12×Y = 0.08×10..........(1)
X + Y = 10.....................................(2)
Putting X = 10 - Y, we have;
0.06×(10 - Y) + 0.12×Y = 0.08×10
0.6 - 0.06·Y + 0.12·Y = 0.8
0.06·Y = 0.8 - 0.6 = 0.2
Y = 0.2/0.06 = 10/3 = 3.33 ounces
X = 10 - Y = 10 - 3.33 = 6.67 ounces
Therefore, the amount of ounces, Y, of the 12% substance = 3.33 ounces.