Question

What is the equation that represents the scenario?

Answer 1

Answer: x+(x+2)+(x+4)=75

Explanation:

open the brackets

x+x+2+x+4=75

x+x+x+2+4=75

3x+6=75

3x=75-6

3x=69

x=69/3

x=23

Answer 2

the last option in the provided list of choices is the correct one. This equation reflects the product of three consecutive odd integers being equal to 75.

The problem states that the product of three consecutive odd integers is 75, and we are tasked with finding the equation that represents this scenario.

Let's solve the problem step by step:

1. Determine the variable:

- Let
`\( x \)` represent the first odd integer.

2. Identify the next two consecutive odd integers:

- Since odd numbers are two units apart, the next consecutive odd integer after
`\( x \)` would be
`\( x + 2 \)`, and the one after that would be
`\( x + 4 \).`

3. Write the equation:

- The product of these three integers is equal to 75, which gives us the equation
`\( x \cdot (x + 2) \cdot (x + 4) = 75 \).`

Now, we can see that the correct equation that represents the scenario is:

`\[ x \cdot (x + 2) \cdot (x + 4) = 75 \]`

So, the last option in the provided list of choices is the correct one. This equation reflects the product of three consecutive odd integers being equal to 75.