Question

Solve for ( q ) in the equation ( 10/9 = 3/q ).

a. ( q = 27/10 )
b. ( q = 9/10 )
c. ( q = 10/3 )
d. ( q = 3/10 )

Answer 1

To solve for q in the equation 10/9 = 3/q, cross-multiply to get 10q = 27, and then divide by 10 to find q = 27/10, which is answer a.

Step-by-step explanation:

To solve for q in the equation 10/9 = 3/q, you can cross-multiply to find the value of q. This means you multiply 10 by q and 9 by 3, which gives you the equation 10q = 27. Next, divide both sides by 10 to isolate q, leading to q = 27/10.

Therefore, the correct answer is a. ( q = 27/10 ).