Answer:
The volume of the given pyramid is 300 cm³
Step-by-step explanation:
The volume of a pyramid, , is given as follows;
The height of the pyramid = 12 cm
The side length of the square base of the pyramid = 5 cm
The base area of the pyramid polyhedron with square base = 5 cm × 5 cm = 25 cm²
Therefore, by substitution, we have;
The volume of the given pyramid, V = 300 cm³.
Sarah bought 3 first class tickets and 7 coach tickets.
Step-by-step explanation:
Given,
Number of people = 10
Total amount spent on tickets = $4830
Cost of each coach ticket = $270
Cost of each first class ticket = $980
Let,
x be the number of coach tickets
y be the number of first class tickets
According to given statement;
x+y=10 Eqn 1
270x+980y=4830 Eqn 2
Multiplying Eqn 1 by 270
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 710
Putting y=3 in Eqn 1
Sarah bought 3 first class tickets and 7 coach tickets.
Keywords: linear equation, elimination method
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