A teacher asks her students to use the Multiplication Property ofX-4.4 = 3.4. Courtney writes x = 4.100 = 3.100. Have bothEquality to write an equation equivalent to x 4 = 3. Alondra writesstudents followed the teacher's instructions? Explain your reasoning.

Question

03-11-2022
Mathematics

Answered

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A teacher asks her students to use the Multiplication Property ofX-4.4 = 3.4. Courtney writes x = 4.100 = 3.100. Have bothEquality to write an equation equivalent to x 4 = 3. Alondra writesstudents followed the teacher's instructions? Explain your reasoning.

Sagot :

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KahleaB274256 KahleaB274256 · Answer 1 · 2022-11-03T16:34:19-04:00

we have the equation

[tex]\frac{x}{4}=3[/tex]

Alondra

Multiply by 4 both sides (property equality of multiplication)

so

[tex]\begin{gathered} \frac{x}{4}\cdot4=3\cdot4 \\ x=12 \end{gathered}[/tex]

Courtney

Multiply by 100 both sides (property equality of multiplication)

[tex]\begin{gathered} \frac{x}{4}\cdot100=3\cdot100 \\ 25x=300 \end{gathered}[/tex]

therefore

Both followed the teacher's guidelines, but by multiplying by 4, Alondra was able to solve the equation, while Courtney had to apply additional steps.

Sagot :

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