Answer:
x=-3
Step-by-step explanation:
(3x-15)/2 = 4x
Multiply each side by 2
(3x-15)/2 *2= 4x*2
3x-15 = 8x
Subtract 3x from each side
3x-15-3x = 8x-3x
-15 = 5x
Divide each side by 5
-15/5 = 5x/5
-3 =x
If he bikes for 10 miles per hour and 8 miles per hour for the same distance x miles, he went 10 miles per hour for x/10 hours, as Distance = Rate*Time and on the way back he would go for x/8 hours. So then he went 2x distance, in x/8 + x/10 hours. Since x/8 + x/10 = 10x/80 + 8x/80 = 18x/80 = 9x/40, he went 2x miles in 9x/40 hours. this can be converted into a rate with the above equation Distance = Rate*Time, so 2x=(9x/40) * Rate, thus we divide by 9x/40 on both sides to get 80x/9x = Rate, the x cancels out, and we get 80/9 Miles per hour.
He drew a scalene triangle
A scalene triangle is where all side measure and all angle measure are different.
Answer:
Value of expression in single logarithm is 
.
Step-by-step explanation:
Given expression is,
Now using logarithmic rule to solve the expression as follows,
Applying product rule of logarithmic,
Therefore,
Applying power rule of logarithmic,
Therefore,
Applying quotient rule of logarithmic,
Therefore,
Simplifying,
Therefore value of expression is
