Variable c is 5 more than variable a. Variable c is also 3 less than variable a. Which pair of
1 answer:
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Answer:
218 students purchased tickets at the dance.
Step-by-step explanation:
Let,
x be the number of presale tickets
y be the number of tickets sold at the dance
According to given statement;
x+y=334 Eqn 1
18x+24y=7320 Eqn 2
Multiplying Eqn 1 by 18
18(x+y=334)
18x+18y=6012 Eqn 3
Subtracting Eqn 3 from Eqn 2
(18x+24y)-(18x+18y)=7320-6012
18x+24y-18x-18y=1308
6y=1308
Therefore,
218 students purchased tickets at the dance.
Answer: The answer is (C) 324 cubic cm.
Step-by-step explanation: As given in the question, given a solid oblique pyramid with a regular hexagonal base and area 54√3 cm². Also, the edge length of the base is 6cm and ∠BAC = 60°.
We are to find the volume of the pyramid.
The formula for finding the volume of a pyramid is given by
where, 'b' is the base area and 'h' is the perpendicular height of the pyramid.
Here, b = 54√3 cm², h = ?
Now, from the right-angled triangle ABC, we have
Therefore, the volume of the pyramid is
Thus, the required volume is This makes (C) as the correct option.
n = 2
distribute and simplify left side of equation
50 - 10n - 1 = 29
49 - 10n = 29 ( subtract 49 from both sides )
- 10n = 29 - 49 = - 20
n = = 2