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Natalija [7]
3 years ago
15

The average price of a movie ticket in the United States from 1980 to 2000 can be modeled by the expression, 2.75+0.10x, where x

is the number of years since 1980. Which part of the expression corresponds to the cost of movie tickets in 1980?
Mathematics
1 answer:
MissTica3 years ago
5 0

Answer:

<h2>$4.7</h2>

Step-by-step explanation:

step one:

Let the cost be y

to solve for the cost of  a movie ticket, we need to solve the expression

y=2.75+0.10x

step two:

given that x is the number of years between 1980-2000

the number of years is 20years

put x= 20 in the expression for the cost we have

y=2.75+0.10(20)

y=2.7+2

y=$4.7

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The lenght of your ruler is 6inches or approximately 15cm.
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3 years ago
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Aimee is in charge of buying tickets for a trip to the movies. She can buy tickets at the theater or online. At the theater, 8 t
inessss [21]

Answer:

Aimee can save $24 by buying tickets at the lower price that is at the theater.

Step-by-step explanation:

First, you need to find the amount she would spent by buying tickets at the theater and online by using a rule of three:

Theater:

60→8

x  ←24

x=(60*24)/8=180

Online:

51→6

x ←24

x=(51*24)/6=204

Now, you need to calculate the difference:

$204-$180=$24

According to this, the answer is that Aimee can save $24 by buying tickets at the lower price that is at the theater.

3 0
3 years ago
A forestal station receives the locations of two fires, one of them in a forest located 11 Km heading N69°W from the station. Th
loris [4]

Answer:

  30.7 km

Step-by-step explanation:

The distance between the two fires can be found using the Law of Cosines. For ΔABC in which sides 'a' and 'b' are given, along with angle C, the third side is ...

  c = √(a² +b² -2ab·cos(C))

The angle measured between the two fires is ...

  180° -(69° -35°) = 146°

and the distance is ...

  c = √(11² +21² -2(11)(21)cos(146°)) ≈ √945.015

  c ≈ 30.74

The straight-line distance between the two fires is about 30.7 km.

8 0
2 years ago
Solve the equation X³+2X²-5X -6​
Natali [406]

Answer: x = {-1, -3, 2}

<u>Step-by-step explanation:</u>

x³ + 2x² - 5x - 6 = 0

Use the rational root theorem to find the possible roots:  ±1, ±2, ±3, ±6

Use Long division, Synthetic division, or plug them into the equation to see which root(s) work <em>(result in a remainder of zero)</em>.

I will use Synthetic division.  Let's try x = 1

1 |  1    2    -5     -6

  |<u>  ↓    1      3     -2 </u>      

     1     3    -2    -8   ← remainder ≠ 0 so x = 1 is NOT a root

 Let's try x = -1

- 1 |  1     2    -5    -6

   |<u>  ↓    -1     -1     6 </u>      

      1     1     -6     0   ← remainder = 0 so x = -1 is a root!

The coefficients of the reduced polynomial are: 1, 1, -6  -->   x² + x - 6

Factor: x² + x - 6

          (x + 3)(x - 2)

Set those factors equal to zero to solve for x:

x + 3 = 0   --> x = -3

x - 2 = 0    --> x = 2

Using Synthetic Division and Factoring the reduced polynomial, we found

x = -1, -3, and 2

6 0
2 years ago
How much do you save per class by taking the longer-term class: Weight Training, $200 for 18 weeks (54 classes) or $350 for 36 w
Vsevolod [243]

<u>Shorter term class:</u>

You pay $200 for 54 classes in total. So,

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<u>Longer term class:</u>

You pay $350 for 108 classes in total, So,

\frac{350}{108} =3.241 dollars per class (rounded to 3 decimal places)


Hence, by taking longer term classes, you save around 3.704-3.241=0.463 dollars.

Rounding to 2 decimal places, you save $0.46 per class.


ANSWER: You save $0.46 per class.

5 0
3 years ago
Read 2 more answers
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