Write the ratio 12: 9 as an equivalent ratio of 4 : x. (1 point)

Answer 1

Since 12:9 is equivalent to 4:x, we can set up a proportion to solve for x:

12/9 = 4/x

Cross multiply:

12x = 9 * 4
12x = 36

Divide by 12:

x = 36 / 12
x = 3

Therefore, the equivalent ratio of 12:9 as a ratio of 4:x is 4:3.

Answer 2

Which of the following, Option 1 or Option 2, is a proportion?
Option 1:5/6 = 15/18
Option2: 5/6 = 20/18
(1 point)

Answer 3

Option 1 is a proportion: 5/6 = 15/18

This is because if you simplify both fractions: 15/18 simplifies to 5/6, showing that the two ratios are equivalent.

Option 2 is not a proportion as 5/6 is not equivalent to 20/18.

Answer 4

There are 48 inches in 4 feet, which is represented by the equation 4y = 482.
Determine the number of inches per foot. (1 point)

Answer 5

To determine the number of inches per foot, we need to solve the equation 4y = 48 for y.

4y = 48
y = 48 / 4
y = 12

Therefore, there are 12 inches per foot.