A=5/12 if your solving for a
<h3>18 months will pass before the two friends have the same hair length</h3>
<em><u>Solution:</u></em>
Let "x" be the number of months
Joni’s hair is 13 inches long and grows at an average rate of ⅔ in per month

Her friend Kate’s hair is 16 inches long and grows at an average rate of ½ in per month

<em><u>For two friends to have the same hair length, eqn 1 must be equal to eqn 2</u></em>

Thus 18 months will pass before the two friends have the same hair length
Answer:
The score of the dropped grade is 6
Step-by-step explanation:
To find the average of a set of numbers you need to add all the numbers and divide by how many numbers there are. The problem wants you to solve it in reverse. Let put this into an algebraic equation with a, b, c, d, and e being the variables of the test scores
(a+b+c+d+e)/5=10
Then we can multiply both sides by 5 and get
a+b+c+d+e=50
Lets assume that c is the lowest test score. To calculate the average of that we get
a+b+d+e/4=11
Doing the same thing, we know that a+b+d+e=44
Now compare the two:
a+b+c+d+e=50
a+b+d+e=44
We can now know that c=50-44=6
So, 6 is the score of the dropped quiz. Hope that helped!
Answer:
18 ounces of the 25% solution
21 ounces of the 38% solution
Step-by-step explanation:
let a be the ounces of 25% alcohol solution
let b be the ounces of 38% alcohol solution
a + b = 39
0.25a + 0.38b = 0.32(39) = 12.48
Rearrange a + b = 39:
a = 39 - b
Now we can substitute a = 39 - b into the other equation
0.25a + 0.38b = 12.48
0.25(39 - b) + 0.38b = 12.48
Simplify by distributing
9.75 - 0.25b + 0.38b = 12.48
Collect like terms
9.75 + 0.13b = 12.48
Isolate b to solve
0.13b = 2.73
b = 2.73/0.13
b = 21
Sub b = 21 into an equation to find "a"
a + b = 39
a + 21 = 39
a = 39 - 21
a = 18
Therefore we need 18 ounces of the 25% solution and 21 ounces of the 38% solution.
The excluded values of x are
and 
Explanation:
The given expression is 
The excluded values are the values in the fraction which makes the denominator equal to 0.
Thus, from the definition of excluded values, let us equate the denominator to 0.
Hence, we have,

Adding both sides of the equation by 1, we get,

Taking square root on both sides of the equation, we get,

Simplifying, we get,

Thus, the excluded values of x are
and 