What is k equal to if StartFraction 7.6 over 2 EndFraction = StartFraction 9.5 over k EndFraction?

Question

1.6
2.5
3.8
4.8

Answer 1

To solve for \( k \) in the equation

\[ \frac{7.6}{2} = \frac{9.5}{k}, \]

we can cross-multiply:

\[ 7.6k = 2 \times 9.5. \]

Calculating \( 2 \times 9.5 \):

\[ 2 \times 9.5 = 19. \]

Now we have:

\[ 7.6k = 19. \]

Next, we solve for \( k \) by dividing both sides by \( 7.6 \):

\[ k = \frac{19}{7.6}. \]

Calculating \( \frac{19}{7.6} \):

\[ k = 2.5. \]

So, the value of \( k \) is

\[ \boxed{2.5}. \]