Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Which algebraic expression represents this phrase?

The product of 67 and the number of weeks

A. [tex]67 + w[/tex]

B. [tex]67 \cdot w[/tex]

C. [tex]\frac{67}{w}[/tex]

D. [tex]67 - w[/tex]

Sagot :

GinnyAnswer
To find the correct algebraic expression, let's break down the phrase step-by-step:

1. Identify the operation needed:
- The phrase "the product of" implies multiplication.

2. Identify the variables involved:
- We have the number "67."
- We have "the number of weeks," which we can denote by the variable [tex]\( w \)[/tex].

3. Combine the elements:
- To represent "the product of 67 and the number of weeks," we multiply 67 by [tex]\( w \)[/tex].

By following these steps, we see that the phrase translates to the algebraic expression [tex]\( 67 \cdot w \)[/tex].

Now, let's match this with the given options:
- A. [tex]\( 67 + w \)[/tex]: This represents the sum, not the product.
- B. [tex]\( 67 \cdot w \)[/tex]: This correctly represents the product of 67 and [tex]\( w \)[/tex].
- C. [tex]\( \frac{67}{w} \)[/tex]: This represents the quotient, not the product.
- D. [tex]\( 67 - w \)[/tex]: This represents the difference, not the product.

Therefore, the correct answer is:
B. [tex]\( 67 \cdot w \)[/tex]
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.