One number is 5 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 779, find the numbers.

Step-by-step explanation:

x       - the first number

One number is 5 times a first number:

5x    - "one" number (the second number)

A third number is 100 more than the first number:

x + 100   - the third number

x + 5x + x+100   - the sum of the three numbers

x + 5x + x+100 = 779

            -100         -100    

    7x = 679

   ÷7       ÷7

      x = 97

5x = 5•97 = 485

x+100 = 97 + 100 = 197

Check:

97 + 485 + 197 = 779

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)