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borishaifa [10]
3 years ago
7

analyze this situation and determine how much cookie dough is "wasted" when 3-inch cookies are cut. then have each team member c

alculate the amount of dough wasted when a cookie of a different diameter is used. compare results

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
8 0

Answer:

The result is the same.

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

Given the information:

  • square 12 inches wide
  • 3-inch diameter cookies are cut => its radius is: 1.5 inches

Hence we can find some information:

  • The area of the square is: 12^{2}  = 144 square inches
  • The area of a cookies is: r^{2}π = 3.14*1.5^{2} = 7.065 square inches
  • The total number of 3-inch cookies are: 4*4 =16

=> The total area of the cookies is: 16* 7.065 = 113.04 square inches

=> how much cookie dough is "wasted" when 3-inch cookies are cut:

= The area of the square - The total area of the cookies

= 144 - 113.04 = 30.96  square inches

If the diameter is increased to 4 inches => its radius: 2 inches, we have:

  • The area of a cookies is: r^{2}π = 2^{2} *3.14 = 12.56 square inches
  • The total number of 3-inch cookies are: 3*3 =9

=> The total area of the cookies is: 9* 12.56 = 113.04 square inches

=> how much cookie dough is "wasted" when 4-inch cookies are cut:

= The area of the square - The total area of the cookies

= 144 - 113.04 = 30.96  square inches

The result is the same.

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The graph below shows the total cost for lunch, c, when Will and his friends buy a large salad to share and several slices of pi
melamori03 [73]

Answer:

The correct option is <u>$2.50</u>.

Step-by-step explanation:

This can be determined by calculating the change in total cost of lunch using the data given in the question as follows:

Slice of pizza     Total cost of lunch ($)    Change in total cost of lunch ($)

         0                                7.5                                          -

         1                                 10                                          2.5

         2                                12.5                                       2.5

         3                                 15                                          2.5

         4                                 17.5                                       2.5

         5                                 20                                         2.5

         6                                 22.5                                      2.5

         7                                 25                                         2.5

         8                                 27.5                                      2.5

Since the change in total cost of lunch in table abov is constant at $2.50, this implies that for each additional slice of pizza that is purchased, the total cost of lunch increases by $2.50.

Therefore, the correct option is <u>$2.50</u>.

7 0
3 years ago
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Answer:

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Step-by-step explanation:

Given parameters:

Number of 18th grade boys this year = 18

Percentage decrease  = 28%

Unknown:

How many 8th grade teams were there last year  = ?

Solution:

Since this is a percentage decrease, ;

     Number of pupils this year  = Number of pupils last year - (28% x 18 )

                  18 + (28% x 18 ) = Number of pupils last year

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