50 points
the denominator of a fraction is 10 more than its numerator.

when 1/3 is added to this fraction, the resulting fraction’s denominator is three times the denominator of the original fraction its numerator is 15 less than its denominator.

what is the numerator of the original fraction?

5

Step-by-step explanation:

Let us assume that x is the numerator of the original fraction. Then the denominator of the original fraction is (x + 10).

When we add to the original fraction then it becomes a new fraction.

And the new fraction is

Now, the numerator of the new fraction is 15 less than its denominator.

Hence, 4x + 10 + 15 = 3(x + 10)

⇒ 4x + 25 = 3x + 30

⇒ x = 5 (Answer)

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!

38.6°

step-by-step explanation:

resultant is 10 pound

smaller force = 8 pound

angle formed = tan⁻¹(

                        =tan⁻¹(

                          =tan⁻¹(0.8)

                        =38.6°