Katarina wrote the standard form of a linear equation as 4x – 2/3 y = 8. sofiya told her that the equation was not yet in standard form and gave her the right advice for how to fix it. what advice did sofiya give to katarina? a. multiply both sides of the equation by 3. the standard form of the equation is 12x – 2y = 24. b. multiply both sides of the equation by 3 and then divide both sides by 2. the standard form of the equation is 6x – y = 12. c. multiply both sides of the equation by 3. the standard form of the equation is 12x – 2y = 8. d. multiply both sides of the equation by 3 and then divide both sides by 2. the standard form of the equation is 6x – y = 4.

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The table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal number of cups of raisins 8 2 12 3 16 4 molly plotted an equivalent ratio as shown on the grid below: a graph is shown. the title of the graph is cereal bars. the horizontal axis label is cereal in cups. the x-axis values are 0, 20, 40, 60, 80,100. the vertical axis label is raisins in cups. the y-axis values are 0, 10, 20, 30, 40, 50. a point is plotted on the ordered pair 40,20. which of these explains why the point molly plotted is incorrect? (a) if the number of cups of cereal is 40, then the number of cups of raisins will be10. (b)if the number of cups of raisins is 40, then the number of cups of cereal will be10. (c) if the number of cups of cereal is 40, then the number of cups of raisins will be 80. (d) if the number of cups of raisins is 40, then the number of cups of cereal will be 80.

Statements reasons 1. ab ? cd; ad ? bc 1. given 2. ac ? ac 2. reflexive property 3. ? adc ? ? cba 3. ? 4. ? dac ? ? bca; ? acd ? ? cab 4. cpctc 5. ? dac and ? bca are alt. int. ? s; ? acd and ? cab are alt. int. ? s 5. definition of alternate interior angles 6. ab ? cd; ad ? bc 6. converse of the alternate interior angles theorem 7. abcd is a parallelogram 7. definition of parallelogram what is the missing reason in step 3?