Elsa's answer is incorrect since there is a solution of the given equation. In the given logarithmic problem, we need to simplify the problem by transposing log2(3x+5) in the opposite side. The equation will now be log2x-log2(3x+5)=4. Using properties of logarithm, we further simplify the problem into a new form log (2x/6x+10)=4. Then transform the equation into base form 10^4=(2x/6x+10) and proceed in solving for x value which is equal to 1.667.
Answer:
Step-by-step explanation:both are 1/6 of a chance
Answer:
4
Step-by-step explanation:
By intersecting chords theorem:
![12x = 3(x + 12) \\ \\ 12x = 3x + 36 \\ \\ 12x - 3x = 36 \\ \\ 9x = 36 \\ \\ x = \frac{36}{9} \\ \\ x = 4](https://tex.z-dn.net/?f=12x%20%3D%203%28x%20%2B%2012%29%20%5C%5C%20%20%5C%5C%2012x%20%3D%203x%20%2B%2036%20%5C%5C%20%20%5C%5C%2012x%20-%203x%20%3D%2036%20%5C%5C%20%20%5C%5C%209x%20%3D%2036%20%5C%5C%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B36%7D%7B9%7D%20%20%5C%5C%20%20%5C%5C%20x%20%3D%204)
Answer: See Below
Step-by-step explanation:
Create the equation:
$34 times the number of people plus the $50 cleaning fee has to be less than or equal to $3500
Or
34p + 50 <= 3500
34p <= 3450
p <= 101.470588....
We can have a part of a person attending the reception so we have to drop the remainder/decimal. Therefore the most amount of people that can attend the party and stay within budget is 101.
x=96
all interior angles equal 180
Subtract exterior andgles by 180 to get interior angles because they are supplementary
180-134=46
180-130=50
Get the third angle inside the triangle
180-50-46=84
subtract by 180 to get x because they are supplementary
180-84=96
Therefore x =96