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vova2212 [387]
4 years ago
13

A movie theater has 24 screens. The ratio of action films tp other films currently showing on all screens 1:2. How many action f

ilms are currently showing?
Mathematics
1 answer:
Nuetrik [128]4 years ago
5 0

Answer: Currently 8 action films are being shown

Step-by-step explanation:

Step 1

Ratio of action film to other films = 1:2

which means 1 action movie would be shown for every 2 other films

Total  ratio =  1+2 = 3

Step 2

Number of action films shown = ratio of action film/ total ratio  x 24 screens

= 1/3 x 24 = 8

Number of other films shown = ratio of other films/ total ratio  x 24 screens

= 2/3 x 24 = 16

Currently 8 action films and 16 other films are being shown

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Write the difference in factored form. (24x4 - 15x2 + 6x) - (10x4 + 5x2 - 4x)​
Pachacha [2.7K]

Answer:

The factored difference is: 2x(7x^3 - 10x + 5)

Step-by-step explanation:

Difference in non factored form:

To find the difference in non-factored form, we subtract the common terms. So

24x^4 - 15x^2 + 6x - (10x^4 + 5x^2 - 4x) = 24x^4 - 10x^4 - 15x^2 - 5x^2 + 6x + 4x = 14x^4 - 20x^2 + 10x

Greatest common factor:

Of the exponents: Between x^4, x^2 and x, it is the one with the lowest exponent, so x.

Between 14, 20 and 10:

14 - 20 - 10|2

7 - 10 - 5

So 2

The gcf is 2x, which means that the factored expression is:

2x(\frac{14x^4}{2x} - \frac{20x^2}{2x} + \frac{10x}{2x}) = 2x(7x^3 - 10x + 5)

The factored difference is: 2x(7x^3 - 10x + 5)

8 0
3 years ago
Complete the function table for each equation y=-3x
Igoryamba

Answer:

<u><em>The answer will vary depending on what table you were given.</em></u>

<u><em></em></u>

Step-by-step explanation:

I'm pretty sure you were given a table along with this question. I do not have this table, so I'm going to create my own. Before I do, I'll explain the function if that's what you're wondering.

Function: y = -3x

This function means you multiply -3 by x to get y.

An example of this is x = 6. To find y, we multiply -3 by 6; y = -18 in this example.

Now, I'll make a small chart with x going from 0 to 5.

|  X |  Y  |

|  0  |  0  |

|  1   |  -3 |

|  2  |  -6 |

|  3  |  -9 |

|  4  |  12 |

|  5  | -15 |

<h2>I hope this helped you understand the question!</h2>
5 0
3 years ago
How many liters of an 18% alcohol solution must be added to a 10% alcohol solution to get 20L of a 15% alcohol solution
Lorico [155]

Answer:

Let x= liters of 18% solution to be added to a 10% solution.

20-x= liters of 10% solution to be mixed with 18% solution.

..

18%(x)+10%(20-x)=15%(20)

.18x+2-.1x=3

..08x=1

x=1/.08=12.5

ans:

12.5 liters of an 18% alcohol solution must be added to a 10% alcohol solution to get 20 L of a 15% acohol solution.

I hope it's helpful!

7 0
3 years ago
If a gallon has 4 quarts, and 1 has quart has 2 pints, how many pints are in 8 gallons
Soloha48 [4]

Answer:

I also think 62 correct me if I'm wrong

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3 years ago
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Ivanshal [37]

The answer might be (45/29).

5 0
3 years ago
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