How do I figure:
?/8 = 15/? = 24/32
To figure out the missing values in the given equation, you will need to use algebraic reasoning. Let's break it down step by step:
1. ?/8 = 15/?
Since both fractions are equal, you can set up a proportion. Cross multiplying is a common method to solve proportions. Multiply the numerator of the first fraction with the denominator of the second fraction and set it equal to the product of the denominator of the first fraction and the numerator of the second fraction:
(?)(?) = (8)(15)
2. 15/? = 24/32
Similarly, you can set up a proportion between the second pair of fractions:
(15)(32) = (?)(24)
To solve these equations, you can follow these steps:
Step 1: Solve for the unknown in the first equation.
Let's set ? as the unknown value. The equation becomes:
? * ? = 8 * 15
?^2 = 120
Taking the square root of both sides, we get:
? = √120
? ≈ 10.95 (rounded to two decimal places)
Step 2: Solve for the unknown in the second equation.
Let's set ? as the unknown value. The equation becomes:
15 * 32 = ? * 24
480 = ? * 24
Divide both sides by 24:
? = 480 / 24
? = 20
So, the missing values are approximately ? ≈ 10.95 and ? = 20.