QuestionSelect the expressions that are equivalent to $6(4 \$$ \ $+5$ )+5 $.$ $\frac{35 s+24}{(5+4 s) 6+5}$ $

Studdy Solution

STEP 1

1. We need to determine which expressions are equivalent to $6(4s + 5) + 5$ .
2. The given expression is $6(4s + 5) + 5$ .
3. We are provided with multiple-choice options to compare against the given expression.

STEP 2

1. Simplify the given expression.
2. Compare the simplified expression with each option.
3. Determine which options are equivalent.

STEP 3

Simplify the expression $6(4s + 5) + 5$ .
First, distribute the $6$ across the terms inside the parentheses: $6 \times 4s = 24s$ $6 \times 5 = 30$
Add these results together: $24s + 30 + 5$
Combine like terms: $24s + 35$

STEP 4

Compare the simplified expression $24s + 35$ with each option.
Option 1: $35s + 24$ is not equivalent to $24s + 35$ .
Option 2: $(5 + 4s)6 + 5$ simplifies to $6(4s + 5) + 5$ which is equivalent to $24s + 35$ .
Option 3: $4(5s + 6) + 5$ simplifies to $20s + 24 + 5 = 20s + 29$ , which is not equivalent to $24s + 35$ .
Option 4: $6(5s + 4) + 5$ simplifies to $30s + 24 + 5 = 30s + 29$ , which is not equivalent to $24s + 35$ .

STEP 5

Determine which options are equivalent.
The expression $(5 + 4s)6 + 5$ is equivalent to $24s + 35$ .
The equivalent expression is:
$\boxed{(5 + 4s)6 + 5}$

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms