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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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A chocolate maker melts three blocks of chocolate weighing 5.4 ounces, 6.1 ounces, and 5.7 ounces. If
Nady [450]

Answer:

43 truffles

Step-by-step explanation:

                       First add all of the weights together

5.4+6.1+5.7=17.2

                      Divide the total chocolate by the weight of a truffle

17.2/0.4=43

4 0
3 years ago
A lemonade recipe calls for 6 gallons of water how many quarts of water are needed for the recipe
lyudmila [28]

Answer:

24 quarts

Step-by-step explanation:

in one gallon there is 4 quarts so 6*4= 24

5 0
3 years ago
Read 2 more answers
F(x) =x2+2x-3 g(x)=3x-14
Leviafan [203]

The solution to the composite function f(g(x)) is 9x² - 78x  + 165.

<h3>What is composite function?</h3>

A composite function is generally a function that is written inside another function.

Function composition is an operation that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g.

From the given composite function, the solution is determined as follows;

to solve for f(g(x)), we use the following methods.

f(x) = x² + 2x - 3, g(x) = 3x - 14

f(g(x)) = (3x - 14)² + 2(3x - 14) - 3

         = 9x² - 84x + 196  + 6x - 28 - 3

         = 9x² - 78x  + 165

Thus, the solution to the composite function f(g(x)) is 9x² - 78x  + 165.

Learn more about composite function here: brainly.com/question/10687170

#SPJ1

The complete question is below:

F(x) =x2+2x-3 g(x)=3x-14, find f(g(x))

8 0
1 year ago
Erika worked 14 hours last week and 20 hours this week. If she earns $9 per hour, how much did she earn during these two weeks?
romanna [79]
Total number of hours=14+20=34
34x9=$306
7 0
3 years ago
Read 2 more answers
Solve for t and find the value for t if I= 115, P=650, r=5%
Brrunno [24]
P=650
R= 5% annually= 0.05
T=1 month=1/12 year

Sl=Prt=650*0.05*1/12= $2.70
So the answer would be 2.7 or 2.70
5 0
3 years ago
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