The sum of two numbers is 58. the first number is 8 less than half the second number. let c represent the first number. let d represent the second number. which statements about solving for the two numbers are true? check all that apply.

Answer : The true statements are:

The equation represents the sum of two numbers.

The equation represents the relationship between the two numbers.

The number c is, 14

The number d is, 44

Step-by-step explanation :

Given:

Let 'c' represent the first number. Let 'd' represent the second number.

The sum of two numbers is 58. The equation will be:

     .........(1)

The first number is 8 less than half the second number. The equation will be:

     .........(2)

Now by solving the two equations, we get the value of c and d.

As,

or,          ..........(3)

Now put equation 3 in 2, we get the value of d.

Now put the value of 'd' in equation 3, we get the value of 'c'.

Thus, the value of c and d is, 14 and 44 respectively.

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)