We appreciate your visit to Select the expressions that are equivalent to tex 5 4c 5 7c tex A tex 4c 5 cdot 5 7c tex B tex 25c 27. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To determine which expressions are equivalent to [tex]\(-5(4c - 5) - 7c\)[/tex], we need to simplify the original expression and compare it to each option provided.
1. Simplify the original expression:
[tex]\[
-5(4c - 5) - 7c
\][/tex]
Distribute [tex]\(-5\)[/tex] in the expression:
[tex]\[
= -5 \cdot 4c + 5 \cdot 5 - 7c
\][/tex]
[tex]\[
= -20c + 25 - 7c
\][/tex]
Combine like terms:
[tex]\[
= (-20c - 7c) + 25
\][/tex]
[tex]\[
= -27c + 25
\][/tex]
So, the simplified form of the original expression is [tex]\(-27c + 25\)[/tex].
2. Compare this with each option:
- Option 1: [tex]\((4c - 5) \cdot -5 - 7c\)[/tex]
Simplify by distributing:
[tex]\[
= -5 \cdot 4c + (-5) \cdot -5 - 7c
\][/tex]
[tex]\[
= -20c + 25 - 7c
\][/tex]
Combine like terms:
[tex]\[
= -27c + 25
\][/tex]
This matches our simplified form [tex]\(-27c + 25\)[/tex].
- Option 2: [tex]\(25c - 27\)[/tex]
This form does not match [tex]\(-27c + 25\)[/tex].
- Option 3: [tex]\(-27c + 25\)[/tex]
This exactly matches our simplified form.
- Option 4: [tex]\(4(-5c - 5) - 7c\)[/tex]
Simplify by distributing:
[tex]\[
= 4 \cdot (-5c) + 4 \cdot (-5) - 7c
\][/tex]
[tex]\[
= -20c - 20 - 7c
\][/tex]
Combine like terms:
[tex]\[
= (-20c - 7c) - 20
\][/tex]
[tex]\[
= -27c - 20
\][/tex]
This form does not match [tex]\(-27c + 25\)[/tex].
The expressions that are equivalent to [tex]\(-5(4c - 5) - 7c\)[/tex] are those in Option 1 and Option 3.
1. Simplify the original expression:
[tex]\[
-5(4c - 5) - 7c
\][/tex]
Distribute [tex]\(-5\)[/tex] in the expression:
[tex]\[
= -5 \cdot 4c + 5 \cdot 5 - 7c
\][/tex]
[tex]\[
= -20c + 25 - 7c
\][/tex]
Combine like terms:
[tex]\[
= (-20c - 7c) + 25
\][/tex]
[tex]\[
= -27c + 25
\][/tex]
So, the simplified form of the original expression is [tex]\(-27c + 25\)[/tex].
2. Compare this with each option:
- Option 1: [tex]\((4c - 5) \cdot -5 - 7c\)[/tex]
Simplify by distributing:
[tex]\[
= -5 \cdot 4c + (-5) \cdot -5 - 7c
\][/tex]
[tex]\[
= -20c + 25 - 7c
\][/tex]
Combine like terms:
[tex]\[
= -27c + 25
\][/tex]
This matches our simplified form [tex]\(-27c + 25\)[/tex].
- Option 2: [tex]\(25c - 27\)[/tex]
This form does not match [tex]\(-27c + 25\)[/tex].
- Option 3: [tex]\(-27c + 25\)[/tex]
This exactly matches our simplified form.
- Option 4: [tex]\(4(-5c - 5) - 7c\)[/tex]
Simplify by distributing:
[tex]\[
= 4 \cdot (-5c) + 4 \cdot (-5) - 7c
\][/tex]
[tex]\[
= -20c - 20 - 7c
\][/tex]
Combine like terms:
[tex]\[
= (-20c - 7c) - 20
\][/tex]
[tex]\[
= -27c - 20
\][/tex]
This form does not match [tex]\(-27c + 25\)[/tex].
The expressions that are equivalent to [tex]\(-5(4c - 5) - 7c\)[/tex] are those in Option 1 and Option 3.
Thanks for taking the time to read Select the expressions that are equivalent to tex 5 4c 5 7c tex A tex 4c 5 cdot 5 7c tex B tex 25c 27. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
