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Zielflug [23.3K]
3 years ago
5

Movie tickets cost $8 for children and $12 for adults. A movie theater has 300 seats. The theater wants to collect at least $4,8

00. Write a system on inequalities to model this situation.
Mathematics
1 answer:
butalik [34]3 years ago
3 0

Answer:

8x + 12y = 4800

\left \{ {{8x + 12y = 4800} \atop {x+ y = 300}} \right.

Step-by-step explanation:

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Please help with the question in the picture!
Stella [2.4K]

Answer:

Tan C = 3/4

Step-by-step explanation:

Given-

∠ A = 90°, sin C = 3 / 5

<u>METHOD - I</u>

<u><em>Sin² C + Cos² C = 1</em></u>

Cos² C = 1 - Sin² C

Cos² C = 1 - \frac{9}{25}

Cos² C = \frac{25 - 9}{25}

Cos² C = \frac{16}{25}

Cos C = \sqrt{\frac{16}{25} }

Cos C = \frac{4}{5}

As we know that

Tan C = \frac{Sin C}{Cos C }

<em>Tan C = \frac{\frac{3}{5} }{\frac{4}{5} }</em>

<em>Tan C = \frac{3}{4}</em>

<u>METHOD - II</u>

Given Sin C = \frac{3}{5} = \frac{Height}{Hypotenuse}

therefore,  

AB ( Height ) = 3; BC ( Hypotenuse) = 5

<em>∵ ΔABC is Right triangle.</em>

<em>∴ By Pythagorean Theorem-</em>

<em>AB² + AC² = BC²</em>

<em>AC² </em><em>= </em><em>BC² </em><em>- </em><em> AB</em><em>² </em>

<em>AC² = 5² - 3²</em>

<em>AC² = 25 - 9</em>

<em>AC² = 16</em>

<em>AC  ( Base) = 4</em>

<em>Since, </em>

<em>Tan C = \frac{Height}{Base}</em>

<em>Tan C = \frac{AB}{AC}</em>

<em>Hence Tan C = \frac{3}{4}</em>

<em />

4 0
3 years ago
Math help? Will reward brainliest!
natta225 [31]

Answer:

c and D

Step-by-step explanation:

beacuse if it's only rotated nothing changes

7 0
3 years ago
What is the slope intercept form of (13x − 5x) + 12 − 2y = 6? SHOW YOUR WORK
vlabodo [156]
Here is the work:
(13x - 5x) + 12 - 2y = 6
(8x) + 12 - 2y = 6
-2y = -8x - 12 + 6
-2y = -8x - 6
y = 4x + 3
3 0
3 years ago
Read 2 more answers
Can someone solve number 32?
MaRussiya [10]
This one above lol ,......................m

8 0
3 years ago
An airline knows that, on average, the probability that a passenger will not show up for a flight is 6%. If an airplane is fully
V125BC [204]

a) Number of seats expected to be empty = 18

b) Number of passengers expected to show up for the flight = 291

Step-by-step explanation:

Step 1:

Probability that a passenger will not show up for the flight = 6%

Total capacity of the flight when fully booked = 300

Step 2 :

a)

Number of seats expected to be empty = 6% of 300 = \frac{6}{100} × 300 = 18

b)

Number of passengers over booked = 10

Probability that a passenger will turn up for a flight  = 100 - 6% = 94%

Number of passengers when the flight is overbooked = 300 + 10 = 310

Hence number of passengers who are expected to show up for the flight = 94% of 310 =  \frac{94}{100} × 310  = 291.4 = 291 (rounded of whole number as this represents number of passengers)

Step 3 :

Answer :

a) Number of seats expected to be empty = 18

b) Number of passengers expected to show up for flight = 291

8 0
3 years ago
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