Answer :
To translate the sentence "76 is equal to 173 increased by the product of w and 313" into an equation, follow these steps:
1. Understand the Structure:
- The phrase "76 is equal to" means we will set up our equation with 76 on the left side:
[tex]\(76 =\)[/tex]
2. Identify the Expression on the Other Side:
- "173 increased by" indicates that we start with 173 and will add something to it.
3. Identify the Product:
- "the product of w and 313" signifies multiplication. This means we multiply w by 313, which is written as [tex]\(313 \times w\)[/tex] or simply [tex]\(313w\)[/tex].
4. Put It All Together:
- Combine these parts to form the complete equation:
[tex]\(76 = 173 + 313w\)[/tex]
So, the sentence as an equation is:
[tex]\[ 76 = 173 + 313w \][/tex]
1. Understand the Structure:
- The phrase "76 is equal to" means we will set up our equation with 76 on the left side:
[tex]\(76 =\)[/tex]
2. Identify the Expression on the Other Side:
- "173 increased by" indicates that we start with 173 and will add something to it.
3. Identify the Product:
- "the product of w and 313" signifies multiplication. This means we multiply w by 313, which is written as [tex]\(313 \times w\)[/tex] or simply [tex]\(313w\)[/tex].
4. Put It All Together:
- Combine these parts to form the complete equation:
[tex]\(76 = 173 + 313w\)[/tex]
So, the sentence as an equation is:
[tex]\[ 76 = 173 + 313w \][/tex]
