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Mathematics, 18.04.2020 08:11 aliciabrown73
1) A celebration is scheduled at the end of a long distance bike race you have entered. A local baker has donated a three-tiered cake with square layers. The top measures 12 inches on each side. The baker then decides to decorate each layer with a ribbon of orange, blue, and white frosting around it.
a) How long a ribbon of frosting do you need for the top layer?
b) Each side of the middle layer will be 18 inches long. How long of a ribbon of frosting is needed for the middle layer?
c) In part b, notice that each side of the middle layer is 6 inches longer than the top layer is the perimeter of the middle layer also 6 inches longer than the top layer?
d) Each side of the bottom layer will be 24 inches. How long a ribbon of frosting is needed for the bottom layer?
e) The length of each side of the bottom layer is twice the length of a side of the top layer. Is the perimeter of the bottom layer twice the perimeter of the top layer?
3. In problem 2c, it appears that the side of a square is multiplied by a certain positive number, it's perimeter is affected in a predictable way. You can use algebra to prove this observation. Let the side of a square with length a be increased by a factor of n > 0. That is, multiply the length a of the side of the square by a positive number 'n'.
a) Write an expression that represents the perimeter of the new square.
b) Compare the result in part a with the expression for the perimeter of the original square.
c) Complete the following statement: If the side of a square is increased by a factor of a, then its perimeter is .
4. Recall that the length of the side of the middle square layer (12 inches) was 6 inches longer than the side of the top layer (18 inches). Although the perimeter of the middle layer (72 inches) is not 6 inches more than the perimeter of the top layer (48 inches), there is a relationship between the perimeters of these two squares. Determine this relationship.
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Question 3 (essay worth 10 points) (03.06 mc) part a: max rented a motorbike at $465 for 5 days. if he rents the same motorbike for a week, he has to pay a total rent of $625. write an equation in the standard form to represent the total rent (y) that max has to pay for renting the motorbike for x days. (4 points) part b: write the equation obtained in part a using function notation. (2 points) part c: describe the steps to graph the equation obtained above on the coordinate axes. mention the labels on the axes and the intervals. (4 points)
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1) A celebration is scheduled at the end of a long distance bike race you have entered. A local bake...
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