The answer would be yes. The way to solve this is by simplifying the first ratio. The first ratio should be girls to boys, which is 6:9. And since ratio can be fractions, 6:9 could be 6/9. Since 6/9 can simplify, you would get 2/3. Now we need to add the 2 girls and 3 boys back into the ratio. The ratio would then look like 8:12. And 8:12 could be 8/12, and 8/12 can be simplify, we get 2/3. So this means that the ratio stayed the same.
The product rule states that the multiplication of two or more logarithms with common bases is equal to adding the individual logarithms.
The value of x is 3.
Given
The following expression:

<h3>
What properties for Logarithms are used to solve the equation?</h3>
The following properties are used in the logarithms equation given below.
The product rule states that the multiplication of two or more logarithms with common bases is equal to adding the individual logarithms.
The bases are equal, the arguments are also equal;
Therefore,

Hence, the value of x is 3.
To know more about logarithms properties click the link given below.
brainly.com/question/26053315
Answer:
13 + 
or
22.43398... (depends on how you round it)
Step-by-step explanation:
1. The question stated that the radius of the circle O is 5, so the length of AO and CO is 5.
2. Since line AB and line CB are both tangent to the circle, they have the same length. CB is 8, so AB will also be 8.
--> Both triangle AOB and COB share one side, and the other side (radius) has the same length, so the third side must be the same length
3. Tangent means having a 90-degree angle with the radius. We know that the triangle AOB is a right triangle since the angle OAB is 90 degrees.
We can use the Pythagorean theorem to find side OB. OB^2 = AO^2 + AB^2.
--> OB^2 = 25 + 64
--> OB^2 = 89
--> OB = 
Now that we know the lengths of all three sides, we can add them up.
--> 5 + 8 + 
--> 13 + 
or
--> 22.43398113....
The answer to this question is -8
<span>Let p be the purchase
price, and c be the change.
Expression: $20.00 - p = c
Table (you'll have to imagine it as a table)</span>
<span>
When p is | Then C is
11.59 | 8.41
17.50 | 2.50
19.00 | 1.00
20.00 | 0.00</span>