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harkovskaia [24]
3 years ago
14

Solve for x

Mathematics
1 answer:
alexira [117]3 years ago
7 0

Check the picture below.

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Jayvie has a VIP membership to a movie theater, so she pays $27 a year and $6.00 for each movie she sees. Claire doesn't have a
Ierofanga [76]

Answer:

27 + 6x = 8.25x

Number of movies (x) = 12

Step-by-step explanation:

Given that:

VIP membership :

Membership fee = $27 per year

Amount per movie = $6

Hence ;

Membership fee + (amount per movie * number of movies)

27 + 6x - - - (1)

Non member :

Amount paid per movie = $8.25

amount per movie * number of movies)

8.25x - - (2)

Let Numbe of movies = x

In other to pay the same amount of money :

Equate (1) and (2)

Equation :

27 + 6x = 8.25x

8.25x - 6x = 27

2.25x = 27

X = 12 movies

6 0
3 years ago
Complete the equation of the line through ( 2 , 1 ) (2,1)left parenthesis, 2, comma, 1, right parenthesis and ( 5 8 ) (5,−8)left
Assoli18 [71]

Answer:

y = -3m + 7

Step-by-step explanation:

Given the two point:

  • A (2, 1)
  • B (5, -8)

We use Slope-Intercept Form to create the equation of the line that goes through the two points above

y =mx + b where m is the slope and b is the y-intercept

Step 1: find the slope of it

m=\frac{y_2-y_1}{x_2-x_1}

<=> m = \frac{-8-1}{5-2} = \frac{-9}{3} = -3

=> our equation: y = -3x + b (1)

Now, plug one of the points (either one!) together with m into (1), we have:

1 = -3*2+ b

<=> b = 7

Hence, the equation is: y = -3m + 7

Hope it will find you well.

3 0
3 years ago
Satellites KA-1212 and SAL-11 have spotted a UFO. Scientists want to determine its distance from KA-1212 so they can later deter
ch4aika [34]

Answer:

The distance of UFO from KA-1212 is 1229.7 km.

Step-by-step explanation:

We are given that,

Distance between the satellites = 900 km

Angle made by the satellite KA-1212 = 60°

Angle made by the satellite SAL-11 = 75°

So, from the figure below,

The third angle is given by = 180° - (60°+75°) = 180° - 135° = 45°

Then, using the law of sines, we have,

\dfrac{x}{\sin 75}=\dfrac{900}{\sin 45}\\\\x=\dfrac{900\times \sin 75}{\sin 45}\\\\x=\dfrac{900\times 0.966}{0.707}\\\\x=\dfrac{869.4}{0.707}\\\\x=1229.7

<h3>Thus, the distance of UFO from KA-1212 is 1229.7 km.</h3>

6 0
3 years ago
Read 2 more answers
Which number line model represents the expression 3.5+(-5)
Anarel [89]

Answer:

D.

Step-by-step explanation:

.

7 0
3 years ago
Amelie has a spinner divided into ninths equal sections that are labeled 1 through 9. she wants to compare the theoretical proba
VMariaS [17]

The theoretical probability =\dfrac{5}{9},  The experimental probability  = \dfrac{5}{12}

<h3>What is experimental probability?</h3>

The experimental probability of an event occurring is the number of times that it occurred when the experiment was conducted as a fraction of the total number of times the experiment was conducted.

The sample will be ={1,2,3,4,5,6,7,8,9}=9

favourable outcomes={1,3,5,7,9,}=5

The theoretical probability of spinning and odd number = \dfrac{5}{9}

As she spends the spinner 12 times

The experimental probability = \dfrac{5}{12}

Hence the theoretical probability =\dfrac{5}{9},  The experimental probability  = \dfrac{5}{12}

Learn more about experimental probability here:

brainly.com/question/3733849

#SPJ1

3 0
2 years ago
Read 2 more answers
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