The denominator of a rational number is greater than its numerator by 7. If the number is increased by 1 and the denominator is decreased by 2, the number obtained is 3/5. Find the rational number.

Step-by-step explanation:

Let x be the fraction's numerator.

Then (x + 7) is the fraction's denominator.

Numerator increased by 1 => (x + 1)

Denominator decreased by 2 => (x + 5)

We have (x + 1) / (x + 5) = 3/5.

Therefore by cross-multiplication,

3(x + 5) = 5(x + 1).

=> 3x + 15 = 5x + 5

=> 2x = 10

=> x = 5.

Hence the original fraction is 5/12.

24/56=hx^7

step-by-step explanation:

this is a direct variation proportion. y = kx

y is the total amount due, k is the constant of variation, and x is the number of texts sent.

plug in the 3.20 and the 16 to solve for the "k". this is the constant of proportionality. it is the value that will not change.

3.20 = k(16). solving you get $.20 per text.

the equation would then be y = .20x