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3 years ago

need help! Please !!!!!!!!!

Mathematics

1 answer:

Sonbull [250]3 years ago

3 0

Answer:

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Step-by-step explanation:

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A Broadway theater has 800 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $ 40 comma main

KatRina [158]

Answer:

<em>orchestra seats: main seats: balcony seats: 160: 400: 240</em>

Step-by-step explanation:

Let number of orchestra seats = x

Let number of main seats = y

Let number of balcony seats = z

As per given statement, total seats are 800

$x +y+z=800 ..... (1)$

Sales price of each orchestra seat = $40

Sales price of each main seat = $30

Sales price of each balcony seat = $20

If all the seats are sold, total revenue is $23200.

$\Rightarrow 40x + 30y+20z=23200 ...... (2)$

If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $ 20 comma 000.

$\Rightarrow 40\times \dfrac{x}{2} + 30y+20z=20000\\\Rightarrow 20x + 30y+20z=20000 ...... (3)$

Here, we have 3 variables and 3 equations. Let us solve them.

Subtracting Equation (3) from equation (2):

$\Rightarrow 20x = 3200\\\Rightarrow x = 160$

Putting value of x in equations (1) and (2):

Equation (1)

$\Rightarrow 160 +y+z=800\\\Rightarrow y+z=640 ...... (4)$

Equation (2)

$\Rightarrow 40\times 160 +30y+20z=23200\\\Rightarrow 30y+20z=16800\\\Rightarrow 3y +2z=1680 ...... (5)$

Equation (5) - 2 $\times$ Equation(4):

$\Rightarrow y =400$

Putting value of y in equation (4):

$400 +z = 640\\\Rightarrow z =240$

Hence, answer is:

<em>orchestra seats: main seats: balcony seats: 160: 400: 240</em>

4 0

3 years ago

You start at (4,3). You move left 3 units. Where do you end?

stepan [7]

Answer:

(1,3)

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Can everyone give me an example how you add and subtract and multiply and divide negative numbers please

DaniilM [7]

-1 + 2 = 1
-1 -1 = -2
-1 x -1 = 1
1 x -10 = -10

5 0

3 years ago

Read 2 more answers

If a hypothesis test is found to have power = 0. 80, which is the probability that the test will result in a type ii error?

olga2289 [7]

The probability that the hypothesis test will result in a type ii error, β is 0.20.

In this question,

A type II error is one of two types of statistical errors that can result from a hypothesis test (the other being a type I error). A type II error will occur if the statistical test is not powerful enough. And it occurs when one rejects the alternative hypothesis (fails to reject the null hypothesis) when the alternative hypothesis is true.

The probability of a type II error is denoted by *beta*, β.

Power of a test = 0.80

The relation between power of a test and type II error is given as,

Power = 1 - type II error

⇒ Type II error, β = 1 - 0.80

⇒ Type II error, β = 0.20

Hence we can conclude that the probability that the hypothesis test will result in a type ii error, β is 0.20.

Learn more about type II error here

brainly.com/question/14392957

#SPJ4

6 0

1 year ago

Icecream store sells 3 pints of icecream for 15.00 how much icecream can u get per dollar

KATRIN_1 [288]

Answer:

you can get .2 of a pint

Step-by-step explanation:

3 pints is $15 which means that one pint is 5. that one pint of ice cream has 5 dollars worth and since you only want for one dollar, it would be .2 because it's split into 5 parts.

3 0

3 years ago

￼need help! Please !!!!!!!!!

need help! Please !!!!!!!!!