Question

which expression represents the total amount of money arianna earns this week? 3c + 2c + 95 arianna’s work schedule monday 3 hours cutting hair tuesday 2 hours cutting hair wednesday answering phones which expression shows like terms grouped together? (3c + 2c) + 95 (3c + 2c + 95) 3c + (2c + 95)

Explanation:

First Sub - Question: Which expression represents the total amount of money Arianna earns this week?

Step 1: Analyze earnings from hair - cutting

Arianna works 3 hours cutting hair on Monday and 2 hours cutting hair on Tuesday. If we assume she earns $c$ per hour for cutting hair, then her earnings from cutting hair are $3c + 2c$.

Step 2: Consider other earnings

We also have to consider her other earnings, which are $95$. So the total earnings would be the sum of her hair - cutting earnings and her other earnings, which is $3c+2c + 95$.

Step 1: Define like terms

Like terms are terms that have the same variable (or no variable, in the case of constants). In the expression $3c+2c + 95$, $3c$ and $2c$ are like terms because they both have the variable $c$.

Step 2: Identify the expression with grouped like terms

To group like terms together, we group $3c$ and $2c$. So the expression $(3c + 2c)+95$ groups the like terms $3c$ and $2c$ together. The expression $(3c + 2c+95)$ is just the original expression without any new grouping of like terms in a distinct way, and $3c+(2c + 95)$ groups $2c$ (a like term with $3c$) with $95$ (a constant, not a like term with $2c$).

Answer:

$3c + 2c+95$

Second Sub - Question: Which expression shows like terms grouped together?