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natali 33 [55]
3 years ago
13

The price of a movie ticket at the theater is $7 for students. The price is higher for adults. A group of 4 students and 3 adult

s paid $64 in all for movie tickets. How much does each adult ticket cost?
Mathematics
1 answer:
Marat540 [252]3 years ago
6 0

Given:

Student ticket price = $7

A group of 4 students and 3 adults paid $64  in all for movie tickets.

To find:

Each of the adult ticket cost.

Solution:

Let x be the cost of each adult ticket.

Then, cost of 3 adult tickets = 3x.

Cost of 1 student ticket = $7

Cost of 4 student ticket = $7(4)

According to the question,

7(4)+3x=64

28+3x=64

3x=64-28

3x=36

Divide both sides by 3.

x=12

Therefore, the cost of each adult ticket is $12.

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In art class, Arthur has created a triangle painting 1/5 of his painting is purple. He decided he wants to Paint 4/8 of the purp
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\frac{1}{10} part of the whole painting is gold colored.

<u>Solution:</u>

Given that , In art class, Arthur has created a triangle painting \frac{1}{5} of his painting is purple.  

He decided he wants to Paint \frac{4}{8} of the purple area gold  

We have to find what fraction of the whole painting will be painting?  

Now, \frac{1}{5} part of whole painting is purple

And, \frac{4}{8} part of the purple area is gold ⇒ \frac{4}{8} part of the \frac{1}{5} part of whole painting is gold

\text { Then, fraction of gold color }=\frac{4}{8} \times \frac{1}{5}=\frac{1}{2} \times \frac{1}{5}=\frac{1}{10}

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3 years ago
Please help me with this question I also need to see the steps if possible!
umka21 [38]

Hi there!

To solve, we must use the following trig identity:

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We can rewrite the left hand side of the equation as:

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Split the fraction:

\frac{sin(u)cos(v)}{sin(u)cos(v)} - \frac{sin(v)cos(u)}{sin(u)cos(v)} =

First fraction reduces to 1:

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Simpify each with common arguments:

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