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aalyn [17]
3 years ago
9

The movie theater charges $4 for children, $6 for adults, and $5 for seniors. A group of 14 people decide to go to the movies. T

here are an equal number of seniors and children in the group. The entire group spent a total of $66. How many ADULTS attended?
Mathematics
1 answer:
MaRussiya [10]3 years ago
4 0

Answer:

Adults=8

Childrens=2

Seniors=2

Step-by-step explanation:

Children $4

Adults $6

Seniors $5

There are an equal number of seniors and children.

The entire group spent a total of $66.

If 11 adults attended, the total amount will be $66 and the number of senior and childrens will be the same, 0. But this is not possible because the statement says that childrens and seniors are part of the group.

If we add the charges of childrens and seniors is equal to $9.

Assuming that the group has 2 childrens and 2 seniors the add is equal to:

(2*5)+(2*4)= 18

Now we substract the result from the total amount:

66-18=48

48 is multiple of 6, this means we have in the group 8 adults, 2 childrens and 2 seniors.  

         

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8 0
3 years ago
A special box designed to hold an antique artifact is shaped like a triangular prism. The surface area of the box is 421.2 squar
Oksanka [162]
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 A = root ((s-a) * (s-b) * (s-c) * (s))
 Where,
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 s = (a + b + c) / 2
 We have then:
 s = (9 + 9 + 9) / 2
 s = 13.5
 A = root ((13.5-9) * (13.5-9) * (13.5-9) * (13.5))
 A = 35.07
 Then, the surface area of the prism is:
 S.A = 2 * A + 9h + 9h + 9h
 Where,
 h: height of the prism:
 Substituting values:
 421.2 = 2 * (35.07) + 9h + 9h + 9h
 Clearing h:
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8 0
3 years ago
The functions below represent the amounts of water released from two reservoirs over x weeks:
solong [7]

Answer:

  • h(x) = -2x^2 -x +3
  • Reservoir A releases the same amount of water as Reservoir B over 1 week

Step-by-step explanation:

<u>Given</u>:

  f(x) = x^2 -7x +5

  g(x) = 3x^2 -6x +2

  h(x) = f(x) -g(x)

<u>Find</u>:

  h(x)

  h(1)

<u>Solution</u>:

The expression for h(x) is found by evaluating its definition:

  h(x) = (x^2 -7x +5) -(3x^2 -6x +2)

  h(x) = x^2(1 -3) +x(-7 -(-6)) +(5 -2)

  h(x) = -2x^2 -x +3

Then h(1) is found by substituting 1 for x:

  h(1) = -2(1^2) -(1) +3 = -2 -1 +3

  h(1) = 0 . . . . difference in release amounts after 1 week is 0

The true statements are ...

  • h(x) = -2x^2 -x +3
  • Reservoir A releases the same amount of water as Reservoir B over 1 week
6 0
3 years ago
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