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erastovalidia [21]
4 years ago
12

Sophia wrote an equation to represent the revenue of a movie theater for one day. She let x represent the number of child ticket

s sold and y represent the number of adult tickets sold. If a child ticket costs $4, an adult ticket costs $6, and the total revenue for the day was $420, which equation could Sophia use to represent the number of child and adult tickets that were sold?
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Mathematics
1 answer:
Delicious77 [7]4 years ago
7 0
4x*6y=420 Should be the answer.
Good Luck!



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An exterior angle of a regular convex polygon is 40°. What is the number of sides of the polygon?
seraphim [82]

Answer:

option B

Step-by-step explanation:

Sum of interior angles of a polygon with n sides:

                                                                          = (n - 2 )\times 180

Therefore, Each \ interior \  angle = (\frac{n - 2}{n} )\times 180

Sum \  of \  one \  of \  the  \ interior \  angle \  with  \ its  \ exterior \  angle \  is \  180^\circ

                      [ \ because \ straight \ line \ angle = 180^\circ \ ]

That is ,

Exterior \ angle + Interior \ angle = 180^\circ\\\\40^ \circ + (\frac{n-2}{n}) \times 180  = 180^\circ\\\\40 n + 180n - 360 = 180n\\\\40n = 180n - 180n + 360 \\\\40n = 360 \\\\n = 9

OR

Sum of exterior angles of a regular polygon = 360

Given 1 exterior angle of the regular polygon is  40

Therefore ,

               n \times 40 = 360\\\\n  = \frac{360}{40} \\\\n = 9

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3 years ago
Find the value of B
elena55 [62]
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6 0
3 years ago
Read 2 more answers
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fomenos

Answer:

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7 0
3 years ago
Application of Geometric Series
Gnoma [55]

Answer:

  7.2224

Step-by-step explanation:

The value of the summation is given by the formula ...

  Sn = (a1)(1 -r^n)/(1 -r) . . . . . where a1 is the first of n terms, and r is the common ratio.

Your sum has first term and ratio ...

  a1 = 2(0.6) . . . . . summation term for n=1

  r = 0.6

So the sum is ...

  \displaystyle \sum_{n=1}^4{2(0.6^n)}=2(0.6)\dfrac{1-0.6^4}{1-0.6}=\dfrac{1.2}{0.4}(0.8704) = 2.6112

Then the value of the entire given expression is ...

  \displaystyle 2+2\sum_{n=1}^4{}2(0.6^n)=2+2(2.6112)=\boxed{7.2224}

_____

A calculator can help you find the value.

6 0
2 years ago
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