Test: Rational World Problem Question #5

5.) A round chocolate cake is cut into eighths. A marble cake of the same size is cut into sixths. if Paulo eats three slices of chocolate cake and five slices of marble cake, how much cake is left over.

Paulo eats three slices from the chocolate cake and five slices from the marble cake.

The chocolate cake will have five pieces out of eight left while the marble cake will have one piece left out of six.

  

 *I'm not sure if I have to add both left overs together*

5/8 + 1/6= 

15/24 + 4/24 = 19/24 

Textbook: Chapter 2.4 page 80 Question 25

25.) What is the length of the longest line segment you can draw on a sheet of paper that is 27.9 by 21.6? Express your answer to the nearest tenth of a centimeter.

1.) First you would need to square both the numbers.

27.9 cm² = 778.41

21.6 cm² = 466.56

2.) Add them together.

778.41 cm² + 466.56 cm² = 1,244.97

3.) Find the square root of 1,244.97

√1,244.97 = 35.28 cm

4.) Round to the nearest tenth of a centimeter.

35.28 cm rounded to the nearest centimeter would be 35.3 cm.

The length of the longest line segment would be 35.3 cm.

Textbook Page 61 Question 19

19.) A company made a profit of $8.6 million in its first year. It lost $5.9 million in its second year and lost another $6.3 million in its third year.

A.) What was the average profit or loss per year over the first three years?

The company has the average loss of $1.2 million per year over the first three years.

How much money they had:

Year 1= $8.6 million
Year 2= $2.7 million
Year 3= -$3.6 million
-$3.6 million divided by 3 (number of years) = -$1.2 million dollars.

B.) The company broke even the first four years. What was its profit or loss in the fourth year?

The company made the profit of $3.6 million.

By the end of the third year the company had the debt of $3.6 million and in order for them to get that money back they will have to make the profit of $3.6 million.