Answer:
x = 11
Step-by-step explanation:
3(2x-4) = 5x-1
6x + (-12) = 5x + (-1)
add -12 to both sides, subtract 5x from both sides. Simplify.
x=11
Answer:
21.68 minutes ≈ 21.7 minutes
Step-by-step explanation:
Given:

Initial temperature
T = 100°C
Final temperature = 60°C
Temperature after (t = 3 minutes) = 90°C
Now,
using the given equation

at T = 90°C and t = 3 minutes


or

taking the natural log both sides, we get
3k = 
or
3k = -0.2876
or
k = -0.09589
Therefore,
substituting k in 1 for time at temperature, T = 65°C

or

or

or

taking the natural log both the sides, we get
( -0.09589)t = ln(0.125)
or
( -0.09589)t = -2.0794
or
t = 21.68 minutes ≈ 21.7 minutes
It would be $84.15 for the tablet and $12.75 for the memory card, so $14.85 off on the tablet and $2.25 off on the card. I hope this helps!
The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.
*<em>look at the image I attached for a better explanation</em>
By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation

Thus the <u>missing side length is 8 cm</u>
Hope that helps!