Select all of the equations below that are equivalent to: 54 = st Use properties of equality. Multi-select Choices: (A)27 = st/2 (B)3 = st/18 (C)8 = st/6 (D)–27 = st/–2

Question

Select all of the equations below that are equivalent to:  54 = st Use properties of equality.    Multi-select Choices: (A)27 = st/2 (B)3 = st/18 (C)8 = st/6 (D)–27 = st/–2

Bytelearn · Accepted Answer

Given Equation Manipulation: We are given the equation 54 = st. To find equivalent equations, we can manipulate this equation using properties of equality, such as multiplication or division by the same non-zero number on both sides of the equation. Let's start by checking option (A).Check Option (A): For option (A), 27 = st/2, we need to check if multiplying both sides by 2 gives us the original equation. Let's do the calculation: 27 * 2 = st/2 * 2 54 = st This is the same as the original equation, so (A) is equivalent.Check Option (B): Now let's check option (B), 3 = st/18. We need to check if multiplying both sides by 18 gives us the original equation. Let's do the calculation: 3 * 18 = st/18 * 18 54 = st This is also the same as the original equation, so (B) is equivalent.Check Option (C): Next, let's check option (C), 8 = st/6. We need to check if multiplying both sides by 6 gives us the original equation. Let's do the calculation: 8 * 6 = st/6 * 6 48 = st This is not the same as the original equation, so (C) is not equivalent.Check Option (D): Finally, let's check option (D), –27 = st/–2. We need to check if multiplying both sides by –2 gives us the original equation. Let's do the calculation: –27 * –2 = st/–2 * –2 54 = st This is the same as the original equation, so (D) is equivalent.

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