144/k=9
I don't understand how to do this using reciprocals, how my teacher wants me to solve the problem.
Note: The fraction bar is in my paper, so it's 144 being the numerator, k being the denominator, and then =9 if that makes any sense.
Multiply both sides of the equation by k.
144 = 9k
16 = k
thank you so much!
You're very welcome.
To solve the equation 144/k = 9 using reciprocals, you need to isolate the variable k.
Here's how you can approach it:
Step 1: Start by multiplying both sides of the equation by k. This will eliminate the denominator on the left side of the equation, giving you:
144 = 9k
Step 2: Divide both sides of the equation by 9 to isolate the variable k. This will give you:
144/9 = k
Step 3: Simplify the left side of the equation:
16 = k
So, the value of k that satisfies the equation 144/k = 9 is k = 16.
Note: In this problem, the reciprocal method is not explicitly required. However, you can also solve it using reciprocals by taking the reciprocal of both sides:
1/(144/k) = 1/9
To simplify the left side, multiply the numerator and denominator by k:
k/144 = 1/9
Now, cross-multiply:
9k = 144
Divide both sides by 9:
k = 16
This gives you the same result as before: k = 16.