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Scorpion4ik [409]
3 years ago
13

At a museum, the admission price for children is $9 and the admission price for adults is $18. The total amount the museum colle

cts in admissions for the day is $4959. The total number of visitors is 319. Let x be the number of children and let y be the number of adults. Which system represents the situation?
Mathematics
1 answer:
anygoal [31]3 years ago
4 0

Answer:

x + y = 330  and 9x + 16y = 4650

Step-by-step explanation:

At a museum, the admission price for children is $9 and the admission price for adults is $18. The total amount the museum collects in admissions for the day is $4959. The total number of visitors is 319.

x = number of children

y = number of adults

x + y = 330

9x + 16y = 4650

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Answer:

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Step-by-step explanation:

The 21,500 would be the <em>a </em>value of the function, as it is before the parentheses. The <em>a </em>value of an exponential function is a constant, and it is the y-intercept of that function, meaning in a real-world application, it would be where the values start at. In this case, the 21,500 is where the price of the car starts at, i.e., the original value of the car.

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2 years ago
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3 years ago
Choose the model that represents the function
kirill [66]

Answer:

OPTION D

Step-by-step explanation:

We have to determine which option determines the function given above.

To determine the function, just substitute the values and compare LHS and RHS.

we have $ f(4) = 18 $

$ f(-2) = -12 $

$ f(0) = -2 $

$ f(-3) = -17 $

Here, $ x $ is the domain and $ f(x) $ is the co-doamin.

Therefore, $ x = \{4, -2, 0, -3\} $

Now, OPTION A: $ f(x) =  2x - 5 $

Substitute x = 4. We get f(x) = 3 $ \ne $ 18.

So, OPTION A is rejected.

Similarly, OPTION B: $ f(x) = 5x + 2 $

Substitute x = 4. We get f(4) = 22 $ \ne $18.

It is rejected as well.

Now, for OPTION C: $ f(x) = \frac{x}{2} - 5 $

Substitute x = 4. We get f(4) = -3 $ \ne $ 18.

So, OPTION C is also rejected.

OPTION D: $ f(x) =  5x - 2 $

Substitute x = 4. We get f(4) = 18.

Substitute the remaining points in domain as well. We notice that it exactly matches the given function. So, OPTION D is the answer.

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3 years ago
Three fourths of a gasoline storage tank is emptied by filling each of five trucks with the same amount of fuel what part of the
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Answer:

Each vehicle received \frac{3}{20} of the total capacity of the storage tank

Step-by-step explanation:

we know that

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