Question

Mark and his friends order 2 pizzas of the same size. The first pizza is cut into 6 slices of equal size.The second pizza is cut into 4 slightly slices of equal size.Each person plans to take 2 slices of pizza.Mark concludes that he would get more pizza by taking1 slice from each pizza,instead of 2 slices from the first pizza.Explain why mark is correct .Be sure to include a number comparison between using > or < in your explanation.

Answer 1

Answer:

Step-by-step explanation:

We know that

They cut the first pizza into 6 equal slice---> each slice is 1/6 of a whole pizza

They cut the second pizza into 4 equal slices---> each slice is 1/4 of a whole pizza

Each person plans to get 2 slices

case 1) one slide pizza 1 and one slide pizza 2

total pizza=(1/6)+(1/4)----> (4+6)/24----> 10/24----> 5/12 of a whole pizza

case 2) two slides pizza 1

total pizza=2*(1/6)-----> 2/6----> multiply by 2-----> (2/2)*2/6---> 4/12 

so

4/12 < 5/12-------> Mark is correct

Answer 2

Answer:

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The Kansas-Nebraska Act was passed by the U.S. Congress on May 30, 1854. It allowed people in the territories of Kansas and Nebraska to decide for themselves whether or not to allow slavery within their borders. The Act served to repeal the Missouri Compromise of 1820 which prohibited slavery north of latitude 36°30