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Cloud [144]
3 years ago
5

The manager of a theater wants to know whether majority of his patrons are adults or children. One day, 5400 tickets were sold a

nd the receipts totaled $41,616. The adults admission is $9.50, and the children's admission is $6.50. How many adults patrons were there? ​
Mathematics
1 answer:
aliina [53]3 years ago
4 0

Answer:

2,172 adults

Step-by-step explanation:

Let adults = x

children = y

x + y = 5400

9.5x + 6.5y = 41,616

Let's use the elimination method to solve this.

Multiply the top equation by -6.5

(x + y = 5400)-6.5

-6.5x - 6.5y = -35100

This will allow us to eliminate the y and add up the other terms

9.5x + 6.5y = 41,616

-6.5x - 6.5y = -35100

3x = 6516

Divide both sides by the coefficient, 3, to isolate the variable, x

3x/3 = 6516/3

x = 2172

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Which expressions are equivalent to 10/10^3/4
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\dfrac{10}{10^\frac{3}{4}}=10^{1-\frac{3}{4}}=10^\frac{1}{4}=\sqrt[4]{10}\\\\\text{Used:}\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\\sqrt[n]{a}=a^\frac{1}{n}

3 0
3 years ago
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1. Function f is transformed into function g by shifting the graph 4 units to the left and 8 units up.
Akimi4 [234]
The answer would be B.
3 0
3 years ago
THE GREATEST PRODUCT
Alex17521 [72]

Answer:

<em>7*6543=45801</em>

Step-by-step explanation:

We have the digits 34567 and must arrange them into a product with the largest possible value.

It's clear that we must place the largest digits to the left, so they represent larger numbers to multiply.

Let's try with:

7654*3=22962

765*43=32895

76*543=41268

7*6543=45801

This last combination definitely produces the largest product

Answer: 7*6543=45801

5 0
3 years ago
Find the difference by aligning the expressions vertically. (2x + 3y - 4) - (5x + 2)​
lys-0071 [83]

Answer:

− 3 x + 3 y − 6

Step-by-step explanation:

If you want me to show work let me know but all you need to do is simplify the expression.

7 0
3 years ago
Please help me with this if you can? thanks alot :)))​
Lynna [10]

The probabilities are:

  • P(red) = 5/24
  • P(orange) =  0
  • P(blue) =  1/3
  • P(not green)= 17/24
  • P(green or black) = 11/24
  • P(not yellow)  = 1.

<h3>How to find the probabilities?</h3>

The probability of getting a particular color of marble, is given by the quotient between the number of marbles of that color and the total number of marbles.

Here we have:

  • 5 red marbles.
  • 7 green marbles.
  • 4 black marbles.
  • 8 blue marbles.

So the total number is 5 + 7 + 4 + 8 = 24.

Then:

  • P(red) = 5/24
  • P(orange) = 0/24 = 0  (because there are 0 orange marbles).
  • P(blue) = 8/24 = 1/3
  • P(not green) = (24 - 7)/24 = 17/24
  • P(green or black) = (4 + 7)/24 = 11/24
  • P(not yellow) = 24/24 = 1 (because there aren't yellow marbles).

If you want to learn more about probability, you can read:

brainly.com/question/251701

#SPJ1

5 0
2 years ago
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