Question

Solve for the missing values: 4 __ 12/18 __ __ / 3 = __ / 15

a) 2, 6, 4
b) 3, 9, 5
c) 1, 2, 3
d) 5, 7, 10

Answer 1

To solve for the missing values in the given equation, set up and solve a proportion by cross-multiplying. The missing values are x = 1.6 and y = 0.2.

Step-by-step explanation:

To solve for the missing values in the equation: 4 __ 12/18 __ __ / 3 = __ / 15, we need to set up and solve a proportion. Let's fill in the missing values with variables: 4 __ 12/18 __ __ / 3 = __ / 15 becomes 4 __ 12/18 __ x / 3 = y / 15.

Next, we cross-multiply and solve for x and y. Cross-multiplying gives us 4 * 12/18 = x * 15/3 which simplifies to 8 = 5x. Dividing both sides by 5, we find that x = 8/5 or 1.6. Similarly, we cross-multiply 12/18 * 3 = y * 15 which simplifies to 1 = 5y. Dividing both sides by 5, we find that y = 1/5 or 0.2.

So, the missing values in the equation are x = 1.6 and y = 0.2.