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andreev551 [17]
2 years ago
5

An hour before show​ time, only 228 people are seated for a musical performance. according to ticket​ sales, ​94% of the people

have yet to arrive. how many tickets were sold for the musical performance​? explain your thinking.
Mathematics
1 answer:
adelina 88 [10]2 years ago
6 0

Answer:

  3800 tickets sold

Step-by-step explanation:

We know the number of people seated, and we know the percentage of total ticket sales that represents. So, we can find the total number of tickets sold.

  seated + not-arrived = total sold

  228 + 0.94 × total sold = total sold

  228 = 0.06 × total sold . . . . . . . . . . . . subtract 0.94 × total sold

  228/0.06 = total sold = 3800

There were 3800 tickets sold for the performance.

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3 years ago
Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet. Angles X Y
posledela

*the figure is shown in the attachment

Answer/Step-by-step explanation:

Since <XYZ and <YZX are said to be congruent, therefore, the side opposite to each of the angle are also equal. Therefore, ∆XYZ is an isosceles ∆.

Find the value of n by creating an equation to solve for n:

XY = (9n + 12) ft

XZ = (15n - 6) ft

XY = XZ (2 equal lengths of isosceles ∆)

9n + 12 = 15n - 6 (substitution)

Combine like terms

9n - 15n = - 12 - 6

-6n = -18

Divide both sides by -6

-6n/-6 = -18/-6

n = 3

Find the length of leg XY by substituting n = 3 into XY = (9n + 12) ft.

XY = (9(3) + 12) ft

XY = (27 + 12) ft

XY = 39 ft

Find the length of leg XZ by substituting n = 3 into XZ = (15n - 6) ft.

XZ = (15(3) - 6) ft

XZ = (45 - 6) ft

XZ = 39 ft

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