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crimeas [40]
3 years ago
8

Cassandra ordered sandwich platters for a party. There were 6 different kinds of sandwiches with 5 of each kind on a platter. Ca

ssandra ordered 5 platters in all. Part A. What is the total number of sandwiches Cassandra ordered? Explain in detail.
Part B. Each platter was shared equally by 10 guests. Cassandra says each guest will get 15 sandwiches. Is Cassandra Correct ? Explain. How many sandwiches will each guest get?
Mathematics
1 answer:
Sophie [7]3 years ago
7 0
The total number is 150. There are 30 sandwiches on each plate and there is 5 plates so 30 x 5 = 150. Cassandra is correct. 150 / 10 = 15.
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3 years ago
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tangare [24]

Check the picture below.

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bearing in mind that <u>perpendicular lines have negative reciprocal</u> slopes, hmm let's find firstly the slope of AB, and the negative reciprocal of that will be the slope of the diameter, that is passing through the midpoint of AB.

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\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad B(\stackrel{x_2}{5}~,~\stackrel{y_2}{1}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{5+1}{2}~~,~~\cfrac{1+4}{2} \right)\implies \left(3~~,~~\cfrac{5}{2} \right)

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