Select all of the equations below that are equivalent to: –76 = 85p Use properties of equality. Multi-select Choices: (A)–76/17 = 5p (B)–76/–17 = –3p (C)–4 = 85p/19 (D)–20 = 85p/4

Manipulate Original Equation: To determine which equations are equivalent to –76 = 85p, we need to manipulate the original equation using properties of equality without changing its meaning. Let's start by examining choice (A) –76/17 = 5p. Divide both sides of the original equation by 17. –76/17 = 85p/17 –4.47 approximately = 5p This does not give us –76/17 = 5p, since dividing 85 by 17 does not result in 5.

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Select all of the equations below that are equivalent to: $\newline$ $-76 = 85p$ $\newline$ Use properties of equality. $\newline$ $\newline$ Multi-select Choices: $\newline$ (A) $-\frac{76}{17} = 5p$ $\newline$ (B) $-\frac{76}{-17} = -3p$ $\newline$ (C) $-4 = \frac{85p}{19}$ $\newline$ (D) $-20 = \frac{85p}{4}$

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Math Problems

Algebra 1

Identify equivalent equations

Full solution

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

\newline

-76 = 85p

\newline

Use properties of equality.

\newline

\newline

Multi-select Choices:

\newline

(A)

-\frac{76}{17} = 5p

\newline

(B)

-\frac{76}{-17} = -3p

\newline

(C)

-4 = \frac{85p}{19}

\newline

(D)

-20 = \frac{85p}{4}

Manipulate Original Equation: To determine which equations are equivalent to $-76 = 85p$ , we need to manipulate the original equation using properties of equality without changing its meaning. Let's start by examining choice (A) $-76/17 = 5p$ . $\newline$ Divide both sides of the original equation by $17$ . $\newline$ $-76/17 = 85p/17$ $\newline$ $-4.47$ approximately $= 5p$ $\newline$ This does not give us $-76/17 = 5p$ , since dividing $85$ by $17$ does not result in $5$ .