drag each tile to the correct box. arrange the equations in order from least to greatest based on their…

drag each tile to the correct box. arrange the equations in order from least to greatest based on their solution. equation a: $5(x - 6)+3x=\frac{3}{4}(2x - 8)$ equation b: $2.7(5.1x + 4.9)=3.2x + 28.9$ equation c: $5(11x - 18)=3(2x + 7)$ equation a equation b equation c

drag each tile to the correct box. arrange the equations in order from least to greatest based on their solution. equation a: $5(x - 6)+3x=\frac{3}{4}(2x - 8)$ equation b: $2.7(5.1x + 4.9)=3.2x + 28.9$ equation c: $5(11x - 18)=3(2x + 7)$ equation a equation b equation c

Answer

Explanation:

Step1: Solve Equation A

First, expand both sides: [ \begin{align*} 5(x - 6)+3x&=\frac{3}{4}(2x - 8)\ 5x-30 + 3x&=\frac{3}{4}\times2x-\frac{3}{4}\times8\ 8x-30&=\frac{3}{2}x - 6\ 8x-\frac{3}{2}x&=- 6 + 30\ \frac{16x-3x}{2}&=24\ \frac{13x}{2}&=24\ x&=\frac{48}{13}\approx3.69 \end{align*} ]

Step2: Solve Equation B

Expand the left - hand side: [ \begin{align*} 2.7(5.1x + 4.9)&=3.2x+28.9\ 13.77x+13.23&=3.2x + 28.9\ 13.77x-3.2x&=28.9 - 13.23\ 10.57x&=15.67\ x&=\frac{15.67}{10.57}\approx1.48 \end{align*} ]

Step3: Solve Equation C

Expand both sides: [ \begin{align*} 5(11x - 18)&=3(2x + 7)\ 55x-90&=6x + 21\ 55x-6x&=21 + 90\ 49x&=111\ x&=\frac{111}{49}\approx2.27 \end{align*} ]

Step4: Compare the solutions

Since (1.48<2.27<3.69), the order is Equation B < Equation C < Equation A.

Answer:

Equation B < Equation C < Equation A