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maw [93]
2 years ago
12

Four adults and three childern go to the teater for 74, whereas two adults and five childern are chraged 58. find the price of a

n adult's ticket and a child's ticket.
Mathematics
1 answer:
Lilit [14]2 years ago
3 0

Answer:

the price of the adult's ticket is 14 and the price of the child's ticket is 6

Step-by-step explanation:

let \: x \:  = adult \\ y = child \\ 4x + 3y = 74  -  -  -  - 1\\ 2x + 5y = 58 -  -  -  -  - 2 \\ multiplying \:  -  - 2 \: by \: two \\ 4x + 10y = 116 -  -  -  - 3 \\ eqn3 - eqn1 \\ 4x - 4x + 10y - 3y = 116 - 74 \\ 7y = 42 \\ y =  \frac{42}{7}  \\ y = 6 \\ putting \: the \: value \: of \: y \: into \: eqn2 \\ 2x + 5(6) = 58 \\ 2x = 28 \\ x =  \frac{28}{2}  \\ x = 14

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See attachment for problem
Effectus [21]

The liters in the tank when it is filled to a height of 3.70 is  5,580 liters

The liters that needs to be added to 100% capacity is 480 liters

<h3>What is the volume?</h3>

A right circular cone is a three dimensional object has a flat circular base that tapers to a vertex. The volume of a right circular cone is the amount of space in the right circular cone.

Volume of a cone = 1/3(πr²h)

Where:

  • π = pi = 3.14
  • r = radius
  • h = height

Volume of the right circular cone when its filled to a height of 3.70 = 1/3 x 3.14 x 3.70 x 1.20² = 5.58 m³

5.58 x 1000 = 5,580 liters

Volume of the right circular cone when it is full =  1/3 x 3.14 x 4 x 1.20² = 6.03  m³

6.03 x 1000 = 6030 liters

Liters that needs to be added to 100% capacity =  6030 liters - 5,580 liters  = 480 liters

To learn more about the volume of a cone, please check: brainly.com/question/13705125

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7 0
1 year ago
Simply the expression 7y+4x+4-2x+8
lisabon 2012 [21]
Simplified: 2x+ 7y + 12
3 0
3 years ago
Mark all the statements that are true <br> a) the domain for this function is the set {3}
telo118 [61]

Answer:

the answer is 6 statements

Step-by-step explanation:

8 0
3 years ago
Verify the identity. <br><br> sin (x+pi/2)=cos x
hram777 [196]
Given data 
<span>sin (x+pi/2)=cos x
</span>now using sin law
sin(a+b)=sin(a)cos(b)+cos(a)sin(b)
now using above values
sin(pi/2+x)=sin(pi/2)cos(x)+cos(pi/2)sin(x)
as we know that
sin(pi/2)=1
cos(pi/2)=0
now putting these values
sin(pi/2+x)=1*cosx+0*1
sin(pi/2+x)=cosx
hence proved that

<span>sin (x+pi/2)=cos x</span>
4 0
3 years ago
What is the area (in square feet) of a rectangle that measures 12'-7" by 9'-9"?
ikadub [295]

Answer:

122.6875 (122 ft 8.25 in)

Step-by-step explanation:

12 ft 7in = 151 in

9 ft 9 in = 117 in

151 x 117 = 17667

17667in = 122 ft and 8.25 in = 122.6875 ft

If my answer is incorrect, pls correct me!

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