Which algebretic equation correct represents this sentence?
25 is three times a number decreased by 8.
A. 25 = 3w - 8 ?
B. 3 = 25w - 8 ?
C. 3 = 25w + 8 ?
D. 25 =3(w + 8) ?
a little confused lol.. help?
Thanks Everyone So Much
Math is a language
Just translate:
25 is --- "25 ="
three times a number ---- "3w" , if w is the number
decreased ---- " - "
8 --------- " 8 "
so what do we have ?
No problem, happy to help! In order to represent the given sentence as an algebraic equation, let's break it down step by step.
The sentence states: "25 is three times a number decreased by 8."
Let's assign a variable to the unknown number. We'll use "w" to represent the number.
Step 1: Three times a number
We can represent "three times a number" as 3w.
Step 2: Decreased by 8
To represent "decreased by 8," we need to subtract 8 from the expression 3w. So, "a number decreased by 8" can be represented as 3w - 8.
Finally, the equation that represents the given sentence is:
25 = 3w - 8
Therefore, the correct equation is:
A. 25 = 3w - 8
I hope this clarifies things for you! Let me know if you have any further questions.
To represent the given sentence as an algebraic equation, let's break it down into smaller parts.
"25 is three times a number" can be represented as 25 = 3w, where 'w' represents the number.
"decreased by 8" means subtracting 8 from the previous part. So, we can add -8 (negative 8) to the equation.
The correct algebraic equation for the given sentence is: 25 = 3w - 8, option A.
To arrive at this answer, it's important to understand the translation of the sentence into mathematical expressions. Breaking down each component of the sentence and translating it into mathematical symbols helps in accurately representing the relationship described.