Hi Cherise1cherhop lets break this equation down with these steps:
1) add the whole numbers first
2) find the LCD of the fractions and that would be 42 since 42 can go into both denominators through multiplication
3) make the denominators (bottom numbers) the same as the LCD (42)
4) simplify it, now the denominators are equal
5) join the denominators together
6) simplify it (3 + 65/42)
7) convert 65/42 to mixed fraction
8) now that we made it a mixed fraction, simplify it
Answer: 4 23/42
Answer:
The answer for this problem is at the bottom of picture.
Answer:
The true solution is x=4/9
EXPLANATION
The logarithmic equation given to us is
We need to use the quotient rule of logarithms.
When we apply this law the expression becomes
We now take the antilogarithm of both sides to get
We square both sides to get,
We evaluate to obtain,
This simplifies to
We divide both sides by 36 to get
We simplify to get,
Answer:
y = 60
Step-by-step explanation:
<h3>Step 1: Make sense of the given</h3>
"The ratio of y to x is 3"
This means that, 
"The sum of y and x is 80"
This means, 
<h3>Step 2: Make use of the facts</h3>
If
, then
.
We can plug this into the other equation by substitution:

This simplifies to:

Which we can solve out and get:
.
<h3>Step 3: Plug and Chug</h3>
We solved for x, but we need the value of y.
So, we go back to the equation we first derived: "
".
And now we substitute the value of x, into this.

By solving this out, we get:

So, the value of y is 60.
First compute the coefficient like this:

Simplifying the fraction over 4! we get:

and the variables are

. So answer

.
The correct answer is C then.