Select all of the equations below that are equivalent to: 85 = bc Use properties of equality. Multi-select Choices: (A)5 = bc/17 (B)–5 = bc/–17 (C)–18 = bc/–5 (D)17 = bc/5

Analyze Equation Properties: First, let's analyze the original equation and the properties of equality we can use to create equivalent equations. The original equation is 85 = bc. We can multiply or divide both sides of the equation by the same non-zero number to maintain equality.Check Option (A): Let's check option (A) 5 = bc/17. To see if this is equivalent to the original equation, we can multiply both sides of the original equation by 1/17. 85 * (1/17) = bc * (1/17) 5 = bc/17 This shows that option (A) is equivalent to the original equation.Check Option (B): Now, let's check option (B) –5 = bc/–17. To see if this is equivalent to the original equation, we can multiply both sides of the original equation by -1/17. 85 * (-1/17) = bc * (-1/17) -5 = bc/–17 This shows that option (B) is equivalent to the original equation.Check Option (C): Next, let's check option (C) –18 = bc/–5. To see if this is equivalent to the original equation, we can multiply both sides of the original equation by -1/5. 85 * (-1/5) = bc * (-1/5) -17 = bc/–5 This shows that option (C) is not equivalent to the original equation because -17 is not equal to -18.Check Option (D): Finally, let's check option (D) 17 = bc/5. To see if this is equivalent to the original equation, we can multiply both sides of the original equation by 1/5. 85 * (1/5) = bc * (1/5) 17 = bc/5 This shows that option (D) is equivalent to the original equation.

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Select all of the equations below that are equivalent to: $\newline$ $85 = bc$ $\newline$ Use properties of equality. $\newline$ Multi-select Choices: $\newline$ (A) $5 = \frac{bc}{17}$ $\newline$ (B) $–5 = \frac{bc}{–17}$ $\newline$ (C) $–18 = \frac{bc}{–5}$ $\newline$ (D) $17 = \frac{bc}{5}$

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Q. Select all of the equations below that are equivalent to:

\newline

85 = bc

\newline

Use properties of equality.

\newline

Multi-select Choices:

\newline

(A)

5 = \frac{bc}{17}

\newline

(B)

–5 = \frac{bc}{–17}

\newline

(C)

–18 = \frac{bc}{–5}

\newline

(D)

17 = \frac{bc}{5}

Analyze Equation Properties: First, let's analyze the original equation and the properties of equality we can use to create equivalent equations. The original equation is $85 = bc$ . We can multiply or divide both sides of the equation by the same non-zero number to maintain equality.
Check Option (A): Let's check option (A) $5 = \frac{bc}{17}$ . To see if this is equivalent to the original equation, we can multiply both sides of the original equation by $\frac{1}{17}$ . $\newline$ $85 \times \left(\frac{1}{17}\right) = bc \times \left(\frac{1}{17}\right)$ $\newline$ $5 = \frac{bc}{17}$ $\newline$ This shows that option (A) is equivalent to the original equation.
Check Option (B): Now, let's check option (B) $–5 = \frac{bc}{–17}$ . To see if this is equivalent to the original equation, we can multiply both sides of the original equation by $-\frac{1}{17}$ . $85 \times \left(-\frac{1}{17}\right) = bc \times \left(-\frac{1}{17}\right)$ $-5 = \frac{bc}{–17}$ This shows that option (B) is equivalent to the original equation.
Check Option (C): Next, let's check option (C) $-18 = \frac{bc}{-5}$ . To see if this is equivalent to the original equation, we can multiply both sides of the original equation by $-\frac{1}{5}$ . $\newline$ $85 \times (-\frac{1}{5}) = bc \times (-\frac{1}{5})$ $\newline$ $-17 = \frac{bc}{-5}$ $\newline$ This shows that option (C) is not equivalent to the original equation because $-17$ is not equal to $-18$ .
Check Option (D): Finally, let's check option (D) $17 = \frac{bc}{5}$ . To see if this is equivalent to the original equation, we can multiply both sides of the original equation by $\frac{1}{5}$ . $\newline$ $85 \times \left(\frac{1}{5}\right) = bc \times \left(\frac{1}{5}\right)$ $\newline$ $17 = \frac{bc}{5}$ $\newline$ This shows that option (D) is equivalent to the original equation.