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

Write an equation to represent the following statement.<br> 24 is 4 times as great as k.

Artyom0805 [142]

Answer:

24 x 4 = k x 4

Step-by-step explanation:

8 0

3 years ago

There are two major tests of readiness for college: the act and the sat. act scores are reported on a scale from 1 to 36. the di

Olin [163]

Solution: We are given:

ACT scores follow normal distribution with $\mu=20.9,\sigma =4.8$

SAT scores follow normal distribution with $\mu=1026,\sigma=209$

Now, let's find the z score corresponding to Joe's SAT score 1351.

$z=\frac{x-\mu}{\sigma}$

$=\frac{1351-1026}{209}$

$=\frac{325}{209}$

$=1.56$

Therefore, Joe's SAT score is 1.56 standard deviations above the mean.

Now, we have find the Joe's ACT score, which will be 1.56 standard deviations above the mean.

Therefore, we have:

$z=\frac{x-\mu}{\sigma}$

$1.56=\frac{x-20.9}{4.8}$

$1.56 \times 4.8 = x - 20.9$

$7.488=x-20.9$

$x=20.9+7.488$

$x=28.388 \approx 28.4$

Therefore, Joe's equivalent ACT score to SAT score 1351 is 28.4

7 0

4 years ago

A tree outside Ellie's house casts a 125-foot shadow. At the same time of the day, Ellie casts a 5.5-foot shadow. If Ellie is 4

Veronika [31]

Answer:

The tall of the tree is about 109.85 feet

Step-by-step explanation:

* Lets study the situation in the problem

- The tree and its shadow formed a right angle triangle with legs

x the tall of the tree and 125 feet the shadow of the tree

- Ellie and her shadow formed a right triangle with legs 4 feet and

10 inches the tall of Ellie and 5.5 feet the shadow of Ellie

- The two triangles are similar

- There is an equal ratio between the corresponding sides of the

similar triangles

# Ex: If triangles ABC and XYZ are similar

∴ AB/XY = BC/YZ = AC/XZ

* Lets use this rule to solve the problem

∵ The tall of the tree is x

∵ The tall of Ellie is 4 feet and 10 inches

- Lets change the tall of Ellie to feet only

∵ 1 foot = 12 inches

∴ 10 inches = 10/12 = 5/6 foot

∴ The tall of Ellie is 4 feet and 5/6 foot = 4 + 5/6 = 29/6 feet

∵ The shadow of the tree is 125 feet

∵ The shadow of Ellie is 5.5 feet

- By using similarity ratio

∴ Tall of tree/tall of Ellie = shadow of tree/shadow of Ellie

∴ x/(29/6) = 125/5.5 ⇒ using cross multiplication

∴ 5.5(x) = 125(29/6) ⇒ divide both sides by 5.5

∴ x ≅ 109.85 feet

* The tall of the tree is about 109.85 feet

8 0

3 years ago

At central middle school, 2% if the students ride bikes to school. If 950 students attended central middle school how many stude

umka2103 [35]

19 students ride bikes.

(950 x 0.02 = 19)

Hope this helped!

8 0

4 years ago

Name the blue shaded parts as an improper fraction

Ostrovityanka [42]

Answer :

option C is the correct answer

6 0

3 years ago

Read 2 more answers