That's going to depend a lot on what you want to "do" to it.
I'm going to assume that you want to find a number for 'x' that makes
the whole equation a true statement. Here's how I would do it:
<u> 5 ln(x) = 35</u>
Divide each side by 5: ln(x) = 35/5
ln(x) = 7
Raise 'e' to the power of each side: e^[ ln(x) ] = e⁷
But e^[ ln(x) ] is just 'x'. So x = e⁷ = <em>1,096.633...</em> (rounded)
That's the only number you can write in place of 'x'
and make the original equation true.
Answer:
20
Step-by-step explanation:
5x4= 20
Explanation:
It can help to draw your own figure with the right angles better represented. You will notice that right triangles PQR and PRS share side RS. PQ is the hypotenuse of one of them; RS is the hypotenuse of the other.
We can write two equations that make use of the Pythagorean theorem:
PQ² = PR² +RQ²
RS² = QS² +RQ²
Then we can swap sides of the first equation and subtract the second equation. This gives ...
(PR² +RQ²) -(RS²) = (PQ²) -(QS² +RQ²)
Adding RQ², we can write this as ...
PR² -RS² +2RQ² = PQ² -QS²
__
The given relationship PR > RS means that PR² -RS² will be positive, so the left side of this equation must be positive.
Since PQ² - QS² is a positive number, PQ > QS.
Answer:
6 minutes 8 balloon animals. 45 minutes 60 balloon animals!
Step-by-step explanation:
I divided 15 by 6 and got 2.5, so I then divided 20 by 2.5 and got 8 balloon animals! For the next one I divided 45 by 15 and got 3 then I multiplied 20 by 3 and got 60 balloon animals! Hope this helps!