All categories

3 years ago

Please help, having a hard time

Mathematics

2 answers:

Stella [2.4K]3 years ago

8 0

Answer:

Step-by-step explanation:

Let x = price of one balcony seat and y = price of one orchestra seat

Price of orchestra seat = Price of balcony seat + 6

Or y = x + 6

$400 \times price \: of \: orchestra \: seat \: + \: 250 \times price \: of \: balcony \: seat \: = 8250$

Or 400y + 250x = 8250

Now that we have to two equations with two variables, we can use either substitution, elimination or graphing to find the prices of the seats.

I attached a picture of the graph. Remember since we set y as the price of the orchestra seat, the y coordinate in the point of intersection will be the price for one orchestra seat. This will be the same for the price of a balcony seat and the x coordinate.

Therefore, the price of one balcony seat is $9 and the price of one orchestra seat is $15.

rosijanka [135]3 years ago

3 0

Answer:

The balcony seat costs $9, the orchestra seat costs $9 + $6 = $15.

Step-by-step explanation:

Let x is the cost/price of one balcony seat, in dollars.

Then the cost of one orchestra seat is (x+6) dollars, according to the condtion.

The total cost of tickets is

250x + 400*(x+6) = 8250.

Simplify it step by step.

250x + 400x + 2400 = 8250,

650x = 8250 - 2400 = 5850 ====> x = 5850/650 = 9.

Answer. The balcony seat costs $9, the orchestra seat costs $9 + $6 = $15.

Check. 9*250 + 15*400 = 8250. Correct.

You might be interested in

Which of the choices below is not a possible correlation coefficient?

fiasKO [112]

Answer:

The condition for r is the following:

$-1 \leq r \leq 1$

And for this case if we analyze the options the only impossible value is given by:

1.0528

Because this value is higher than 1 and not satisfy the general limits for r

Step-by-step explanation:

The correlation coefficient is a measure of dispersion and is a value between -1 and 1, and is defined as:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

The condition for r is the following:

$-1 \leq r \leq 1$

And for this case if we analyze the options the only impossible value is given by:

1.0528

Because this value is higher than 1 and not satisfy the general limits for r

8 0

3 years ago

Math is my favorite subject and then civics is and gym that's it nothing more and i'll will never stop liking those subject caus

MAXImum [283]

Ya no problem :).............

8 0

3 years ago

HOW DO I SOLVE FOR [350-(110-30)/2]

Cloud [144]

First, do 110-30 (You'll get 90). Then, divide 90 by 2 (You'll have 45). Finally, take 45 from 350. Your final answer should be 305.

4 0

3 years ago

Read 2 more answers

19/10 rational or irrational ?

yarga [219]

Definition of a rational number:

A rational number is a number that can be written as fraction of integers.

19/10 is a fraction.

19 and 10 are integers.

19/10 follows exactly the definition of a rational number, so it is rational.

3 0

2 years ago

Cal pays employees weekly. He would like to start paying them four times the weekly amount on a monthly basis. Is a month equiva

Leni [432]

If it is February, then it is, as it has 28 days, but every four years, it has 29, so if you round to the nearest 7, then it is yes, but if exact, no.

6 0

2 years ago