03.11.2020

A 6000-seat theater has tickets for sale at $28 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $196,800?
The number of tickets for sale at $28 should be

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Mathematics

A6000-seat theater has tickets for sale at $28 and $40. how many tickets should be sold at each price for a sellout performance to generate a total revenue of $189600?

Step-by-step answer

P Answered by PhD

4200 tickets of $\$28$ and 1800 tickets of $\$40$ were sold

Step-by-step explanation:

Given:

Tickets are sold at price $\$28$ and $\$40$ .

Let Number of tickets sold at price $\$28$ be .

Let Number of tickets sold at price $\$40$ be .

Theater has maximum capacity of 6000 seat.

Hence,

$x+y=6000 \ \ \ \ equation \ 1$

Total revenue to be generated is $\$189600$

$\therefore 28x + 40y= 189600 \ \ \ \ equation \ 2$

Now Multiplying equation 1 by 40 we get,

$x+y=6000\\40x+40y=240000\ \ \ \ equation \ 3$

Now Subtracting equation 2 by equation 3 we get,

$(40x+40y=240000)- (28x + 40y= 189600)\\12x=50400\\\\x=\frac{50400}{12}=4200$

Now substituting value of x in equation 1 we get,

$x+y=6000\\4200+y=6000\\y=6000-4200= 1200$

Hence a total of 4200 tickets of $\$28$ and 1800 tickets of $\$40$ were sold

Mathematics

A6000-seat theater has tickets for sale at $28 and $40. how many tickets should be sold at each price for a sellout performance to generate a total revenue of $189600?

Step-by-step answer

P Answered by PhD

4200 tickets of $\$28$ and 1800 tickets of $\$40$ were sold

Step-by-step explanation:

Given:

Tickets are sold at price $\$28$ and $\$40$ .

Let Number of tickets sold at price $\$28$ be .

Let Number of tickets sold at price $\$40$ be .

Theater has maximum capacity of 6000 seat.

Hence,

$x+y=6000 \ \ \ \ equation \ 1$

Total revenue to be generated is $\$189600$

$\therefore 28x + 40y= 189600 \ \ \ \ equation \ 2$

Now Multiplying equation 1 by 40 we get,

$x+y=6000\\40x+40y=240000\ \ \ \ equation \ 3$

Now Subtracting equation 2 by equation 3 we get,

$(40x+40y=240000)- (28x + 40y= 189600)\\12x=50400\\\\x=\frac{50400}{12}=4200$

Now substituting value of x in equation 1 we get,

$x+y=6000\\4200+y=6000\\y=6000-4200= 1200$

Hence a total of 4200 tickets of $\$28$ and 1800 tickets of $\$40$ were sold

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Imran is paid ?286 per week Every week he puts 20% of his wage into a savings account How much does he put into his savings each week

Step-by-step answer

P Answered by PhD

The answer is in the image

Mathematics

Neil places £2000 in a bank account that pays 1.5% simple interest per year. How much interest will he earn in 6 years?

Step-by-step answer

P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

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An ice cream shop offers 5 different flavors of ice cream and 9 different toppings. How many choices are possible for a single serving of ice cream with one topping?

Step-by-step answer

P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45

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Anthony received $150 for his birthday this year. This was $10 less than half the amount he received last year. How much money did Anthony receive for his birthday last year?

Step-by-step answer

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The answer is in the image

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A new school randomly assigns a six-character student code to every prospective student. The school uses the characters 1, 2, 3, 4, 5, X, Y, and Z. If none of the student codes contain a repeated character, what is the total number of codes that can be randomly assigned?

Step-by-step answer

P Answered by PhD

The total nom of code that can be used is equal to 5+3 = 8

Mathematics

A 4300-N force from a car s engines produces an acceleration of 3.3 m/s2. What is the mass of the car? A. 4300 kg B. 1300 kg C. 14,000 kg D. 390 kg

Step-by-step answer

P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

=4300/3.3

=1303.03kg

Approximately it is aqual to 1300kg

Mathematics

If a salesperson makes 6% commission, how much would they make from a $1,800 sale?

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P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

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Stefania pure 2 liters of orange juice and 1.5 liters of pineapple juice into a punch bowl how many kiloliters are in the punch bowl

Step-by-step answer

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The answer is in the image

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A 6000-seat theater has tickets for sale at $28 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $196,800? The number of tickets for sale at $28 should be

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A 6000-seat theater has tickets for sale at $28 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $196,800?
The number of tickets for sale at $28 should be