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Nookie1986 [14]
3 years ago
13

The zurassic zoo charges $11 each for adult admissions and $4 each for each child. The total bill for the 138 people from a scho

ol trip was $839. How many adults and how many children went to the zoo?
Mathematics
1 answer:
LenaWriter [7]3 years ago
4 0

The number of adults = 41

The number of children = 97

Step-by-step explanation:

Let x be the number of adults and

y be the number of children

then according to the given conditions

x+y = 138\ \ \ Eqn\ 1\\11x+4y = 839\ \ \ Eqn\ 2

From equation 1:

x = 138-y

Putting in equation 2

11(138-y)+4y = 839\\1518-11y+4y = 839\\1518 -7y = 839\\-7y = 839-1518\\-7y = -679\\

Dividing both sides by -7

\frac{-7y}{-7} = \frac{-679}{-7}\\y = 97

Putting y = 97 in equation 1

x+ 97 = 138\\x = 138-97\\x = 41

Hence,

The number of adults = 41

The number of children = 97

Keywords: Linear equations variables

Learn more about linear equations at:

  • brainly.com/question/8955867
  • brainly.com/question/9045597

#LearnwithBrainly

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Trigonometry
Natasha_Volkova [10]

Answer:

Step-by-step explanation:

For a triangle the area is

A=\frac{1}{2}bh

If our triangle is isosceles and the 2 congruent sides each measure 4 and they include an angle of 40 degrees, let's say that the vertex angle is 40 and the sides that are not the base each measure 4.  If we drop an altitude from the vertex to the base, we cut the triangle into 2 right triangles, with the vertex angle being 20 degrees and the hypotenuse being 4.  To find the base, then, which is opposite the angle, we use the sin ratio:

sin(20)=\frac{b}{4} and

4sin(20) = b so

b = 1.368

But we need the whole base, and that is only half of it.  So

2b = 2.736

To find the height, which is adjacent to the angle, we use the cos ratio:

cos(20)=\frac{h}{4} and

4cos(20) = h so

h = 3.759

Now we have enough info to find the area of the triangle using the triangle area formula from above:

A=\frac{1}{2}(2.736)(3.759) and

A = 5 meters squared.

7 0
3 years ago
HELP ASAP PLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLS
notka56 [123]

Answer:

15/6

Step-by-step explanation:

5 0
2 years ago
Expression is equivalent to 486 – 9 + 6 + 33 × 2
mojhsa [17]

Answer:

  549

Step-by-step explanation:

A calculator can give you an equivalent expression.

I might work from the middle outward:

  = 486 -3 +33×2

  = 483 +66

  = (480 +60) + (3 +6)

  = 540 + 9

  = 549

7 0
3 years ago
Solve this equation: please show all the work<br><br> <img src="https://tex.z-dn.net/?f=x%5E%7B3%7D-y%2B9-%28xy%29" id="TexFormu
puteri [66]
x^{3}  - y + 9 - (xy)
(3)^{3} - (6) + 9 - (3 * 6)
27 - 6 + 9 - 18
12
4 0
3 years ago
Please help don’t understand
sergejj [24]

Answer:

x=35

Step-by-step explanation:

2x+15+2x-10+x=180

combine factors

5x+5=180

-5 from both sides

5x=175

divide 175/5x

x=35

8 0
2 years ago
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