Question

Write the sentence as an equation. 123 is 240 plus the product of 75 and a

Answer 1

To write the sentence '123 is 240 plus the product of 75 and a' as an equation, we translate it to 123 = 240 + (75 × a), where = signifies 'is', + signifies 'plus', and '75 × a' is the product of 75 and a.

Step-by-step explanation:

To write the sentence as an equation, we need to translate the given sentence into a mathematical expression. The sentence '123 is 240 plus the product of 75 and a' tells us that 123 is equal to the sum of 240 and the product of 75 times some number a. The equation representing this sentence is:

123 = 240 + (75 × a)

Here, 'is' equates to '=', 'plus' to '+', and 'the product of 75 and a' to '75 × a'. Let's recap the steps:

1. Translate 'is' to '=' to show that two expressions are equal.
2. Identify '240 plus' as '240 +' which indicates addition.
3. Recognize 'the product of 75 and a' as '75 × a', which indicates multiplication.

Combine these translations to form the equation. This is an example of how to translate a verbal sentence into a mathematical equation, a common skill practiced in algebra.