Welcome to the article Which equation represents this statement 313 is the same as the sum of 12 times a number and 3 A 313 12x 3 B 313. On this page, you will learn the essential and logical steps to better understand the topic being discussed. We hope the information provided helps you gain valuable insights and is easy to follow. Let’s begin the discussion!
Answer :
Final answer:
The correct equation that represents the statement '313 is the same as the sum of -12 times a number and -3' is 313 = -12x + (-3). This equation depicts that -12 times a certain number (x), when combined with -3, gives the result 313. This entails various rules of signs for basic arithmetic operations.
Explanation:
The subject of this question is mathematics, specifically algebra. The student is asking to identify an algebraic equation that represents a particular situation. The statement is: '313 is the same as the sum of -12 times a number and -3'. From the given options, the right equation that represents this statement will be 313 = -12x + (-3). This equation signifies that -12 times a certain number (x) combined with (-3) gives 313.
Let's take a deeper look at what the equation implies. The term '-12x' involves variable x, which stands for the unknown number we have to find. The term '-3' is a constant, and its value doesn't change. In the equation, the left side '313' represents a certain outcome, and the terms on the right side '-12x + (-3)' collectively create this outcome.
It's important to remember the basic rules of signs for arithmetic operations while solving these types of problems. For example, when two positive numbers add, the result is positive. When a positive and a negative number are combined, we subtract the lesser value from the larger one, and use the sign of the number with the larger absolute value. Similarly for multiplication, the product of two numbers with the same sign is positive, whilst the product of numbers with opposite signs is negative.
Learn more about Equivalent Equations here:
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Rewritten by : Brahmana